diff --git "a/data/dm_maths/full_data/11091_11255.jsonl" "b/data/dm_maths/full_data/11091_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11091_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the closest to 0.04? (a) -43 (b) -1\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3845894 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, l: 8, h: 1, p: 1}. Give prob of sequence phq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757.05 meters to micrometers.\nAnswer: 757050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31000232231 (base 4) to base 10\nAnswer: -3410861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/45 - 209*j**4\/18 + 140*j**3\/3 - 1462*j**2. Find r, given that t(r) = 0.\nAnswer: -210, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(65))\/(-2*sqrt(180)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*t**3 + 418 - 291*t**3 + 859*t**3 - 292*t**3.\nAnswer: -2*t**3 + 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 - 18*c**2 - 39*c + 45. List the prime factors of x(-10).\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -75\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/30*((-6)\/7)\/((-24)\/21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108520721?\nAnswer: 811, 133811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {d: 1, f: 1, z: 3, g: 4, p: 2, l: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 8. Let p be t(5). Suppose 2*w - p*k = 4*w - 26, -3*w - 4*k + 41 = 0. Solve -4*s + w = -4*y - 13, 20 = 3*s - 5*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -122, -1\/5, -4, 4, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4315\/748 - -9\/68. Let f be (-1 + 27013\/(-147))*(-2)\/(-44). Let g = f - h. Find the common denominator of g and -49\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:06 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 601029, 1202041, 1803053?\n\"Answer: 601012*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143814201.\nAnswer: 3, 47938067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.017, 4, 0, 2\/5 in descending order.\nAnswer: 4, 5\/4, 2\/5, 0, -0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 709*a - 7086. Calculate j(10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 1. Let w be y(-2). Let q(m) = -m**3 - 2*m**2 + 2*m - 1. Let d be q(w). Let c(g) = -g**2 - 2*g + 6. Let p be c(-3). Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*m - 20*m - 48. Which is the nearest to -1? (a) m (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289163 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185775 - -1529.81?\nAnswer: 1529.995775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 653 = -3*k, -16*k + 11*k = 3*b - 1083. Calculate the least common multiple of 40 and 10332\/k - (2\/(-12))\/1.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*o + 1269321 - 241601, -2*b - 1027728 = o. Let k = b - -3092243\/6. Let j = -1513 + k. Calculate the common denominator of j and 13\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 297 - 3*d**3 + 13*d**2 - 13*d**2 - 2*d - 298 as x*d + m + g*d**2 + b*d**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 83639.09 centuries?\nAnswer: 836390.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/6 - 27*u**2\/2 - 5030*u\/3 + 37600 = 0. Calculate u.\nAnswer: -80, 20, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 8. Let w be a(7). Suppose 5*r - k = 24, 5*k - 348 = 5*r - 368. Solve -2*z + w = -r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24748978*k + 1478612.\nAnswer: -24748978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -29*f - 6*f**3 + 29*f - 2*f**3 + 17. Let t(k) = 4*k**2. Give w(t(d)).\nAnswer: -384*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkniiiiiiiiiii. Give prob of picking 1 k and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62)\/(-14) - (-18)\/(-42). Let z = 26 - x. Let n(m) = -5*m - 2. Calculate the remainder when z is divided by n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) - (sqrt(750) - ((sqrt(750) - (2*sqrt(750) - sqrt(750))) + sqrt(750))))*-5)\/(sqrt(30)\/sqrt(5)*-2 - -3*sqrt(96)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145.01 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8 and 101\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(250))\/(sqrt(25)\/(sqrt(5) + sqrt(180))) - (-6*(sqrt(2) + 1) + (-1 + sqrt(2))*6 - sqrt(22)\/(sqrt(275)*-1)).\nAnswer: 6*sqrt(2)\/5 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 3532?\nAnswer: -3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1 (b) -1\/5 (c) 6 (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 42 = 11*t. What is the third derivative of 185*v**4 + 180*v**4 - 328*v**t + 60*v**2 wrt v?\nAnswer: 888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 4*c + 5. Let i be (-11)\/3 - (-4)\/(-12). Let q be k(i). Is 5 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 28 = -17*q + 4*u, q = u. Find the second derivative of 5*i**3 + 4*i + 2*i**4 - i - 45 - 4*i - 4*i**4 + 4*i**q wrt i.\nAnswer: 24*i**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232a53a (base 13) to base 2.\nAnswer: 101001011000010011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15516 (base 8) to base 4\nAnswer: -1231032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238095610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202947 to the power of 1\/2, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3668000 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -82bd - 1456?\nAnswer: -9724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5504000 to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 84, 129, 174, 219?\n\"Answer: 45*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15432?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8)*2*-4) + ((sqrt(34) + -4*sqrt(850))\/sqrt(2))**2.\nAnswer: -sqrt(17)\/8 + 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2 (c) 0.25 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 23 - 61 = -3*c, -5*t = 5*c + 30. Sort 10, 3, 2, t.\nAnswer: t, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 7*k - 12*k - 3*x, 0 = -3*k + 2*x + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 + 2210\/187. Let f(u) = u**2 - 9*u - 36. Let y be f(k). Solve -5*v = 5*d + 25, y = 4*d - 4*v + 5*v + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*n - 17, 70*q - 22 = 2*n + 66*q for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-210)\/4)\/((-24)\/32). Suppose b = 7*k - 126. Let y = 0 + 6. What is the smallest common multiple of k and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + n = 2*y + 6, 8*y - 77 = 15*n - 259 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4*d - 3. Let p(z) = 5*z**2 + 15*z - 12. Let w(t) = 9*g(t) - 2*p(t). Let f be w(5). Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5))**0)**35 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18705\/(-344) - -16 - -39\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11096006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2509748 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(25\/15)*16\/12. Put 6, v, -1, 1\/5 in descending order.\nAnswer: 6, v, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3633 divided by -1479.\nAnswer: -1211\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 554 - 362 = 0. What is the least common multiple of t and 22?\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4579874 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 38 - 45 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.7529 to one dp.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d - 120 = 47*d. Suppose 23*s = d*s - 11. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/30 - 31*m**4\/24 + 5*m**3\/3 - 340*m**2. Determine w(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 6. Let w(z) = z**3 + 9*z**2 + 15*z + 12. Let c(g) = 8*g**2 + 16*g + 12. Let u(v) = m*c(v) + 4*w(v). Factor u(a).\nAnswer: 4*(a - 3)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -2.03. Put -0.3, 3, i, 21 in descending order.\nAnswer: 21, 3, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccqxcyxxqiy. Give prob of sequence ccyc.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 5, -1\/6, -2\/5, -4, 0.01?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**8\/10080 + i**5\/60 - i**2. Let o(g) be the third derivative of k(g). Let u(y) = 4 - 4 + y**2. Give u(o(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173069859 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3210323222 (base 4) to base 15.\nAnswer: -137c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and (-40)\/(3 + -2 - (-11)\/(-9)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*-2*(-2)\/(-1). Let c(x) = -3*x - 3. Let p be c(-2). Solve -p*z + 3*h + 9 = 0, 0 = -d*z - 0*h + 3*h + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3524*-0.6\nAnswer: -2114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -71*y**2 - 10*y - 40. Let g(q) = 168*q**2 + 24*q + 96. Let a(s) = 5*g(s) + 12*x(s). Let t(m) be the first derivative of -2*m**3 - 2. What is a(t(k))?\nAnswer: -432*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2 - 8*a. Let n be b(8). Suppose -4 = -5*r + 21, -5*k - 3*r + 650 = n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*1*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 - 22 = 0. Let j(l) = l + 63*l**3 - 15*l**2 + 7*l**2 - 62*l**3 - 7 + 1. Calculate the remainder when w is divided by j(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26430 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.838 + 3.45. Let o = n - 1.112. Sort -3, 4, o.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, 0, 5, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13288551.9237 - 13290317. Let p = 1765 + g. What is p rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5891754546 to the nearest integer?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f - 2148. Determine h(-46).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 95 + (-11 - 52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-5)*(-3)\/(-30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.98 + -2.83. Let d = 20 - y. Let w = d - -0.1500027. Round w to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + t = 27, 2*t - 1 = c - 7. Suppose 0 = 2*p + p + c. Let y(b) = -2*b - 3. Determine y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 2. Let c(o) be the first derivative of 2\/3*o**3 + 0*o**2 + 0*o + 113. Give v(c(x)).\nAnswer: -4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 2*f. Let h be i(-2). Suppose 0 = h*s + 5*k, 3*k = -4*s - 0*s. Is 1*(-68)\/(-2) + s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*v**2 - v - 13*v**3 + 26*v**2 + 2*v**3 - 42*v**2 + 6*v**3 in the form h*v + u*v**3 + q + y*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 42. Let q = 35.982 + t. Let n = -1.118 - q. Is 0 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18027 + 18029. Which is the closest to -9\/37? (a) f (b) 1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 205 and 0.37.\nAnswer: 75.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 92*z**2 - 59058*z - 3861. Determine m(642).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1.2 (c) 0.5 (d) -0.4 (e) 3\/4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -2 (c) 1.6 (d) 1\/5 (e) 45 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h + 3*h - 19*h - 2 - 5*h. Let p be i(-5). Suppose 5*b - 272 = p. Calculate the remainder when b is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 503875?\nAnswer: -503870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2\/25, 4, -1 in ascending order.\nAnswer: -13, -1, -2\/25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -18, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*-4*52\/26?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -450, -1006, -1774, -2748, -3922, -5290?\nAnswer: -6846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4907b1a + -4?\nAnswer: -4907b1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -12. Let n(t) = -5 + 0 + 4 - 2*t + 0 + t**h. Suppose -3*o + d = -4, 4*o - 4*d + 7 = -1. Give n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/9*1\/(-2). Let o = 7.595 - -0.405. Let p = o + -14. What is the biggest value in v, 0.2, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 57. Let z(w) = -36*w**2 + 6. Give v(z(k)).\nAnswer: 108*k**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 - 72*z**2 + 81*z + 150 = 0. What is z?\nAnswer: -25, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102452 = -2521*z - 1138*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26073 + -233?\nAnswer: 25840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 154*o**3 + 158*o**3 + 87*o**4 - 82*o**4 in the form i + b*o + d*o**4 + k*o**3 + f*o**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006265500466 rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125.91 + -122.17. Which is the closest to -3? (a) 4 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 5*j - 284, 4*k = -2*j + 96. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3201 - 1?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52 + -55 - 32\/(-10). What is the biggest value in -1, t, -4, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2407*i**2. Let d(f) = f + 2. Let u(l) = 2*l**2 + 4*l + 8. Let c(p) = 4*d(p) - u(p). Calculate v(c(h)).\nAnswer: 9628*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 15*w - 29. Let f be m(12). Suppose f = 6*q - 17. Suppose -3*h = q*h - 63. What is the remainder when 53 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7*k - 4737*k**2 - 4*k - 8 - 10*k.\nAnswer: -4737*k**2 - 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -76, -2\/3, 4\/37?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28344428.55 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -0*q + 5*b + 20, -q + b + 7 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3359*j - 3360*j - 6*j**2 - 3345*j + 10206*j.\nAnswer: -6*j**2 + 142*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 37. Suppose -3*z + 4*i + 30 = -0*i, -h = -4*z + i. Suppose 3*r + r = 5*j - 238, 2*r = z. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1156*k**2 + 233*k - 911. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -2.766.\nAnswer: 30.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*j - 2, 5*j = -7*u + 2*u. Let g be (-1)\/2 - 1\/2. Suppose 476 = 817*v - 698*v. Sort v, u, 12, g.\nAnswer: u, g, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170788828, -170788824, -170788818, -170788810, -170788800?\nAnswer: -170788788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 73338.63 nanometers?\nAnswer: 73.33863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1)\/(33\/2). Let j be (220\/(-396))\/((-10)\/(-4)). Which is the smallest value? (a) 3 (b) 0 (c) n (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:04 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3\/11))\/a**(2\/11)*a**(-4)\/a**(1\/2))**(-1\/2) assuming a is positive.\nAnswer: a**(75\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5780 (base 9) to base 13.\nAnswer: -1c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*z + 22, -5*z + 13152 = 13132 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t - 4*t)*(0*t + t - 3*t)*(-3*t**2 + 2*t**2 - t**2).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 233, -79, -0.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -13*x**2 - 3*x. Let z be l(-3). Let d(a) = -a**3 - 45*a**2 - 125*a - 78. Let s be d(-42). Let t = z - s. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**4 - 48*h**3 - 173*h**2 - 99*h + 324 = 0.\nAnswer: -9\/2, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t + 7. Let x = 4 + -11. Let u be c(x). Let h(r) = r**3 + 25. Is h(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 - 0.12. Which is the third smallest value? (a) o (b) 7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*5*283\/30.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1724 - 1723.5085. Round k to two decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 + -137. What is the nearest to d in -0.34, -0.4, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4*k - 4)*((33*k + 5*k + 9*k)*(0 + 1 + 4) + 3*k + k - k) + (4*k - 3*k + k)*(-3*k + 4*k + 3*k) to the form z*k**2 + v*k + q and give z.\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:47 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -476 - -468. Calculate the remainder when c\/(-36) - (-1160)\/45 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760 - 760 - 5*m + 6*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -9. Suppose j - 10 - 29 = -o, i = -j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -42*p**2 - 111*p + 46. Give d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**3 + m**2 - m - 1. Let b be n(-1). Suppose 0 = 14*j - b*j + 30. Let o(v) = -v**2 - 6*v - 4. Give o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -103*a - 37. Give c(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -590669712 <= -590669711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**3 - 1\/24*u**4 + 0*u + 1\/60*u**5 + 9*u**2 + 0. Calculate l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/20968 and 43\/40?\nAnswer: 104840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2687510 is divided by 14295?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*sqrt(147) + sqrt(147))**2 + sqrt(147) + sqrt(147).\nAnswer: -28*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 161*t = 41*t - 3719, 116 = -4*t - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 457, 462, 505, 598, 753, 982, 1297?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460023152?\nAnswer: 2, 153751447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/36352 and 77\/52.\nAnswer: 472576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 9*q**2 + 4. Let n be i(-9). Let x(u) = u**3 - 5*u**2 + 5*u - 1. Let k be x(n). Suppose -2*c - 22 + 62 = 0. Solve -k*l + c = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**9\/168 - a**5\/6 - 9*a**2. What is the third derivative of c(f) wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13153 is divided by 3287.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.5 (c) -200 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -38?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syzs when four letters picked without replacement from {s: 3, z: 8, y: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 2*h**3 + 4*h**3 + (14*h**2 + 25*h**2 + h**2)*(-h + 0 + 0) + (h - 3*h - h)*(-3*h + 3*h - 2*h**2) as x*h + w*h**3 + y*h**2 + g and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -61. Suppose k + 1 = d. Is k >= 2\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*f - 606, -2*l + 5*l + 5*f - 449 = 0. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:58 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 1. Let c(i) = -2*i - 10. Let o(k) = -c(k) - 4*z(k). Let v be o(3). Solve v = -2*p - 5*m - 18, m - 18 = 2*p + 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 8*o + 12. Let b be d(-9). Suppose -b*t = -1 - 11. What is the first derivative of 3*f**3 - 13*f**3 + t*f**3 - 4 + 1 wrt f?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0695684 decades in months?\nAnswer: 8.348208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105100 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -14, 5, -2, -3 in decreasing order.\nAnswer: 10, 5, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18865496?\nAnswer: 2, 13, 181399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 20*d**2 + 2*d - 1. Let v be h(1). Calculate the lowest common multiple of 42\/(-4)*12\/(-9) and ((40\/(-6))\/(-5))\/(2\/v).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - (1 + -3 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -3319772\nAnswer: 162668828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2\/7 - 1724308*o\/7 + 49266.\nAnswer: -2*(o + 172431)*(5*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2921261, -2921223, -2921159, -2921069?\nAnswer: -2920953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/30)\/(-2*3\/36)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 - 3. Let y(g) = -g**2 - 1. Let j(l) = 2*r(l) - 6*y(l). Let z(d) be the third derivative of -d**5\/60 - 3*d**2. Determine z(j(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.4 (b) -5 (c) 24 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 58774\nAnswer: -7\/58774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/7 + 6828*b**2\/7 + 40932*b\/7 = 0. What is b?\nAnswer: -6822, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 6. Let u(b) = 3 + 1 - 13*b + 3*b. Is 12 a factor of u(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - 6*o - 2. Let f be z(-4). Let s = 89 + f. Suppose d + s = 5*j, 2*j + 4*d - 10 = 2*d. Solve -2*x - 7 = -w + j, -3*w - 6 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 4*b - 108 = 2*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2080 = -4*b + 6*b, 3*l = -5*b + 5200. Suppose 0 = 2*u - 320 - b. Suppose 2*d + 3*d - u = 0. What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-162 - (-184 + 103)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -121 + 28. Let x = z + 1113. Round x to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 60?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 409 + -405. Suppose 2*z = -2*o, l*o = -2*z + z. Factor 2\/9*t**3 - 8\/9*t**2 + 8\/9*t + o.\nAnswer: 2*t*(t - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 55, 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -441 * 2.2.\nAnswer: -970.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-30)*-1 + (-541)\/15. Let c be 15\/120 - z\/224. Find h, given that -20\/7*h - c*h**2 + 0 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721241 is divided by 661.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspppsr. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029218262 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + q**2 - q - 1. Let d(k) = -k**3 + 12*k**2 + k - 12. Let p be d(12). Let y be u(p). Let r(l) = -27*l + 3. Is r(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2736, 3, 5.\nAnswer: -2736, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5\/5 - 1014*g**4\/5 - 10281*g**3 - 609408*g**2\/5 = 0.\nAnswer: -23, 0, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Suppose 3*g - p - 18 = 0, 0*p - 30 = -h*g + 4*p. Let a = 12 - g. Solve -3*k + a*k + 3*t = 0, -3*k - 2 = 4*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + o + 23. Let a be y(-15). Suppose 2*i - 3417 - a = 0. Differentiate -10 - 3 + 2268*v**2 - i*v**2 wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 73 = -123 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 5, -1628, -3, 7, 3 in descending order.\nAnswer: 7, 5, 3, -1, -3, -9, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 6*t**3 - 4*t - 5*t**3 + 0*t**2)*(4*t**2 - 5*t**2 - t**2).\nAnswer: -2*t**5 - 2*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -27814.2 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -817 - -816.9581. Let t = 0.036 + o. What is t rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003811 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105284 - 254?\nAnswer: 105030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 1. Let w be x(-1). Suppose 3*s - 330 = -5*h, -5*h + 2*s + 63 = -292. What is the tens digit of ((-1)\/(1 + 0))\/(w\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n + 98*n = -17*d - 106, d = -n - 8 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 385876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a89a (base 12) to base 16.\nAnswer: 13b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - -5) + (-74 - (-67 - 32))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 165, 170, 177, 186, 197, 210?\n\"Answer: m**2 + 2*m + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/11))\/z**(6\/7))\/(z**(-3\/19)*z*z*z\/z**20*z) assuming z is positive.\nAnswer: z**(24114\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -160, -204, -242, -274, -300, -320?\n\"Answer: 3*r**2 - 53*r - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q + 5. Let s(v) = -48*v - 15. What is -2*s(u) - 7*t(u)?\nAnswer: -16*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/((-564)\/(-90)))\/(-55)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*-2*(sqrt(68)\/sqrt(4))**2*-4.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7 + 18 - 28 - 20*i**2 + i**3 - 384*i. Give a(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.48 - -2.8. Let t = 0.08 + o. Suppose -268*n = -214*n + 270. Put n, -0.4, 4, t in decreasing order.\nAnswer: 4, -0.4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 348 - 108. What is the highest common divisor of h and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112.412 and -0.53.\nAnswer: -59.57836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from {r: 3, i: 4, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 7*c - 6*c)*(45 - 11*c + 0*c - 45) as p*c + l + x*c**2 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-14 - (-71 - 10) - 1) - (-23 + 14)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -442*d*k**2 - k**2 + 15*k + 3 wrt d?\nAnswer: -442*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1779 = -c - 85*p - 1787, -4*c - 37 - 31 = 2*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 - 1070 = -7*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-26)\/(-6))\/(3\/18). Is a smaller than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(3\/((-6)\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*n + 156 = 153, -23 = -2*i + n. Let h(j) be the second derivative of j**3\/6 - 3*j**2 + 2*j. Give h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 3, 13\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*t - 773 = -4*m, -t - 6*t + 3*m + 1 + 33 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29956, -63973, -97990, -132007, -166024, -200041?\nAnswer: -234058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {j: 2, o: 2, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -35, -10, 0.071, -0.1, 10, -2?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/40 + 17*j**5\/60 - 3*j**4\/8 - 4*j**3\/3 + 110*j**2. Find the second derivative of o(z) wrt z.\nAnswer: 18*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 7*q - 1. Let m be (4\/6)\/((-1)\/3). Let u = m + -4. Let x be j(u). Solve -x*b + 10*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/102)\/((-1)\/323)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 10*r**2 - 14*r - 31. Let b be k(-11). Is (-165696)\/(-144) + b\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2*5 - 1*(sqrt(684) + -2))**2.\nAnswer: 216*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 246.93794238 and -80.\nAnswer: 166.93794238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*6\/(-9))\/(23 - 21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 492 + -20. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 + 55\/(-15). Let b be s\/18 - (2 + 56\/(-9)). Suppose 4 = b*i, 0 = a + 3*i - 2*i - 248. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7 = 4*u, -2*g = -3*u + 2*g + 13. Solve -u*q - 16 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15676.893 - -15677. What is the second biggest value in g, 1\/4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2\/2 - 11*h + 90. Let w be y(-17). Solve -5*r + 0 - w = 4*s, -3*r - 2*s - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 311*x**2 - 6580*x + 34. Give b(74).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 + 3*d - 2. Let q be c(3). Let x(z) = -z**3 + 3*z + 3. Let l be x(q). Is (3 - l)\/(4\/(-478)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124215 + 3?\nAnswer: 124218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - 1*sqrt(1500))\/(sqrt(27)\/(-2*sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 6:33 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.99 + 938.99. Let j = -931.0481 + o. Let x = 0.05 + j. What is x rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 33 = -0*i. Let j = -5 - i. Let g(z) = 3*z + 2. Let b be g(j). Solve 0 = w + 4*w - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 656*d + 4 = -654*d, 0 = -2*l - d + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*22\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4895)\/(-220) - 23)\/(-3*(-2)\/(-456))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 18*t + 11*t + 4*t.\nAnswer: -3*t - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 20763?\nAnswer: -20763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68595.61 times 3.3?\nAnswer: 226365.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(66220\/41667) - (0 - (-4)\/(-88))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 2*g - 7*g)*(1 - 5 + 6*g + 2) as z*g + c*g**2 + k and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r - 7 + 7 + 156*r**2.\nAnswer: 156*r**2 + 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 39, 56, 73, 90, 107?\n\"Answer: 17*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let w = 0.63 + -2.73. Let y = w + 1.4. Is y less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*5*(sqrt(847)*2)**2.\nAnswer: -423500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020616 to 5 decimal places.\nAnswer: -0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/9 - 290\/1305?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/10, 0.05, 0.36, -7\/27, 1\/5?\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2282085 is divided by 2849?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/3)\/i**9)**(1\/56)\/((i\/i**2)\/i**7)**(-46) assuming i is positive.\nAnswer: i**(-61847\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 467*x**5 + 3*x**2 - 474*x - 3. Let s(v) = 1402*v**5 + 10*v**2 - 1424*v - 10. Let m(h) = 3*s(h) - 10*u(h). Find the second derivative of m(d) wrt d.\nAnswer: -9280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 6*n + 6*n + (-1 - 3 + 2)*(-173 + 173 + 31*n) as t + y*n and give y.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 9*y**4 + 4*y + (-3*y**3 + 0*y**3 + y**3)*(1 - 1 - y) + 2*y**4 - y**4 - 2*y**4 + (-2*y + 0*y + y)*(-3*y**3 + 5*y**3 - y**3).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1333 + -1331. Solve n - t*f + 7 = 0, -f = 3*f - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:12 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 20403?\nAnswer: 20413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000121000112 (base 3) in base 12?\nAnswer: -21813a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.05416, -11\/2, -1.3, 3 in descending order.\nAnswer: 3, 2, 0.05416, -1.3, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -121*g + 4508. Determine z(37).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -224974.5397 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -481 + 481. Let s(t) = t**3 - 4*t**2 + 5*t - 4. Let o be s(3). Solve h*z = -5*z + o*u - 7, -5*z = -u + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.906519 decades to years.\nAnswer: 79.06519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 - 5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:31 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*l + 12 - 46, 4*l = j + 50. Solve -5*t = 3*o - 20, 0 = l*o - 15*o - 4*t + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 12 = -5*g, -4*g = 78*r - 82*r + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -v. Let w be ((-12)\/v)\/((-2)\/9). Solve -6 = -3*c + w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -31.3, -3\/2, -5, 5, -1\/7?\nAnswer: -31.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/562, 1\/4 in increasing order.\nAnswer: -1, -1\/562, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 13*u**2 - 4*u + 29. Let q be i(9). Let c = 64 - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 176, 362, 548, 734?\n\"Answer: 186*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21662 is divided by 1663.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 0*a**3 - 3*a**3 + 5*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 9*q**2 + 10*q + 5. Let v be h(-10). Put -2, 4, v in increasing order.\nAnswer: -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311369073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let s(v) = -4*v + 3*v - 3*v + 6*v. Calculate b(s(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*98\/40)\/(30\/80*14\/21).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 21436.\nAnswer: 64308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1\/32 (c) 3 (d) -0.5 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 110. Let m = 115 - 114.9. What is the nearest to m in d, -2\/17, -4\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1851311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19739*15\nAnswer: 296085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 934974998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 76673 * 1.7\nAnswer: 130344.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3 - 6*(-1)\/9. Let a = -33 - -184. Suppose t*d = a + 375. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 times 543900.8?\nAnswer: -39160857.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 30324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 1, t: 1, y: 4, b: 10}. Give prob of sequence wyyy.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*v - 40*v - 2552 = -59*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3044574763 + 6.\nAnswer: 3044574769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**7\/30 - 9*f**5\/10 + 65*f**4\/6 - 2*f. Let b(n) be the third derivative of x(n). Differentiate b(l) with respect to l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53238?\nAnswer: 2, 3, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (0 + 2 - 2). Let l = 3 + a. Solve l + s**2 + s**3 + 3 - 4*s**2 = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 2*s + 4, 441*s - 437*s + 4 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) - (-69)\/(-15). Let x be (g + (-96)\/(-21))\/(2\/(-14)). Suppose -x*o = -o - 66. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 6. Let a = -7 - h. Let n be (3 - 0)\/(a\/(-4)). Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 + 17*l + 4*l - 4.\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 + 125. Let a(w) = -w**2. Let r(q) = -q**2. Determine f*r(k) + 4*a(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/2*20\/(-30). Suppose 4*d + 31 = 2*q + d, 0 = -2*q + 2*d + 26. Let c = -19 + 29. Solve -q*a = -o*a - c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332233031121 (base 4) to base 15\nAnswer: -169ce9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**4 + 2*d**2 - 59*d + 28*d + 25*d in the form a*d**2 + l*d + u*d**3 + h*d**4 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -11. Solve -z + 4*g = 5 - a, 0 = 5*z + 4*g - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) 1\/3 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9880\/468)\/38 - (-473)\/(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463525193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024296 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 8 = l + 8*k, 3*l = -k. What are the prime factors of 2*l\/(8\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 3*r + (41*r - 6*r - r)*(1 - 1 + 1).\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12153127 + -0.46.\nAnswer: -12153127.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x, 2*x + 26 = -z + 5*z. Let j = z + -5. Suppose -2*u + 5*c + 41 = -j, -5*u - 5*c + 20 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-12) + 26\/12)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5 + 82144*a**4 - 3117412*a**3 + 35179736*a**2 - 105938288*a + 94782752 = 0. Calculate a.\nAnswer: 2, 17, 20498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4081240544?\nAnswer: 2, 7451, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 18. Suppose 5*c = 4*c + m. Let u(w) = 3199*w**2 + 6*w - 5. Let i be u(c). What is i rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2\/5 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/15 + 8*s\/15 + 2\/5 = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -76. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1748*w - 4750. Let b(a) = 53*a - 144. Let q(j) = 133*b(j) - 4*h(j). Let s be q(4). Is s <= 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 181227\/39 - (-19)\/((-2470)\/20). Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 191\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x + 1020 + 4*x**2 - 1025 + 9*x**2. Let f = 1 + -10. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909646369 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 672*l + 6*l + 1241 + 6217 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (2 - (0 - (4 - -3)) - 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193538?\nAnswer: 2, 96769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3479155130?\nAnswer: 2, 5, 11, 61, 163, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 252 = 264 - 588 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-6)*s)\/s)**13\/((s*s**5\/s)\/(s\/(s\/s**15))) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52658598 and -0.22?\nAnswer: 52658598.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-660)*((-24124)\/56 - -7). Let i = 1\/1320 - v. What is the common denominator of i and -43\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28334012 by 28.\nAnswer: 1011929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 100?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqu when three letters picked without replacement from qqu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let k = -7049\/30 - -235. Let h(f) be the third derivative of -k*f**5 + 0*f**3 + 0*f**4 + 0*f + 0 - f**2. What is v(h(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2395, 2409, 2431, 2461, 2499, 2545, 2599?\n\"Answer: 4*g**2 + 2*g + 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 + 12*b - 42)*(2*b**3 - 1 + 1) + (3*b + 2 - 2)*(2*b**3 + 4 - 4) in the form o + s*b**4 + i*b**3 + k*b + h*b**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 - 9445*m + 1830906 = 0.\nAnswer: 198, 9247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -58*b**2 - 6451*b - 53358. Determine c(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**7\/630 - 11*r**6\/60 + 3*r**5\/4 - 17*r**4\/18 + 32*r**2 + 6*r - 4. Determine y so that l(y) = 0.\nAnswer: -68, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l - 12. Suppose 3*h + 8*d - 3*d - 15 = 0, -2*h = -d - 10. Let v be (-5)\/2*8\/10. Put v, h, l in ascending order.\nAnswer: l, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 7)*(-43*o - 49*o - 26*o).\nAnswer: 354*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1745 in 2\/67, 0.7, -8\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(-5*(6*-2*sqrt(143))\/(sqrt(1584) + -1*sqrt(1584) + sqrt(11)) + -5))**2.\nAnswer: -108000*sqrt(13) + 8428500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73416? (a) 2\/73 (b) 0 (c) -0.14 (d) -4 (e) 0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 3*f**2 + 0*f - 1\/6*f**4 + 0 - 1\/30*f**5 - 1\/3*f**3. Factor u(i).\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*o - 4*o - o)*(-4 + 2 + 3) - 5*o - o + 4*o)*((3*o - 6*o + 0*o)*(-o**2 + 6*o**2 + 0*o**2) - 10*o**3 + 2*o**3 + 0*o**3).\nAnswer: 69*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcjlclljclclclll. What is prob of picking 1 c and 1 l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 20 = 0. Suppose -z*l + 3*r = -6, 2*r = l + 2*l - 5. Let c = 8 - 4. Solve -l*w = -c - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52385350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026.4373 rounded to the nearest 10?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from iwc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5374538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*n + 24*n + 23*n - 2 - 2*n + 4*n - 4*n + 0*n - 3*n + 5*n + (-6 + 2 + 3)*(-2 + 2 - 2*n) + n - 3*n + n.\nAnswer: 28*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164514 and 46800?\nAnswer: 1283209200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -43?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431 + 433. Solve m = -q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10211 - 114?\nAnswer: -10325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 11218?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**4 - 346*j + 265*j + 81*j - 473*j**3 + 1128*j**2 - 2914*j**3.\nAnswer: 3*j**2*(j - 376)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00550667 rounded to four dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 - (-6 - 15110\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1159*u**2 + 537*u**3 - 534*u**3 - 4621*u**2 - 691*u**2 to the form v*u + y + i*u**3 + r*u**2 and give r.\nAnswer: -6471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w - 70*w = 4941. Let z = w + 193. What are the prime factors of z?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273049436?\nAnswer: 2, 3, 106087453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*s + 8942 = -35754. Calculate the greatest common divisor of 176 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.08 (c) -2\/5 (d) 56\/5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -448*-512215\nAnswer: 229472320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/18*(-3)\/(-1). Suppose -u*c + 6*c + 46 = a, -5*a + 5*c = -220. Let t = 119 - a. What are the prime factors of t?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 13) to base 16\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239140030?\nAnswer: 2, 5, 23914003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42117193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 259840*g + 519688.\nAnswer: -2*(g - 129922)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -701718.1564 - -701567. Let d = 151 + j. Round d to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -35*d**6\/8 - d**5\/12 + 2525*d**3\/2 + 2952*d**2. What is the derivative of p(q) wrt q?\nAnswer: -1575*q**2 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -316 + 14. Let a = -166 - l. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28967517, 2, 3 in descending order.\nAnswer: 28967517, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 23. Suppose 0 = 4*d - 7 - z. Solve d = -4*x - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -379 - 437. Solve -q*v + v = -161 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a factor of 294521584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-11)*l*l\/(l*l**(-2\/43)*l)*l assuming l is positive.\nAnswer: l**(-385\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:49 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -358, -726, -1098, -1468, -1830?\n\"Answer: m**3 - 8*m**2 - 351*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 - (-3 + 5 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4512 - 0.4512. Sort -0.5, -3, s in decreasing order.\nAnswer: s, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 75314*j - 376433. What is p(5)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7158.6 * -1080.\nAnswer: -7731288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 113*c**2 - 285*c + 77. Is f(-64) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 1973*o - 38657. Give c(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = 8*v - 3*v, v = 4. Suppose -2*l - b*l = -125. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*o - 6 - 23, -2*l = -4*o - 8. Let x(d) = d**3 - 8*d**2 + 11. Calculate the remainder when x(8) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*a**3 - 217*a?\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/40 + u**4\/24 + 6*u**2. What is the second derivative of m(o) wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 506 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.00155 + 0.00155. Which is the smallest value? (a) 4 (b) 0.2 (c) s (d) -3\/5 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 804. Let y = u - 220. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4106.43 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 39470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 432*r + 542. Determine z(-2).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 13*k**2 - 28*k**2 - 8*k + 16*k**2 - 10 + 2. Calculate p(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 14. Let h be ((-2)\/(-4))\/((-1)\/j). Suppose -8 = -h*a + a. Let p(v) = v**3 + 3*v - 2. Let u(x) = x**3 + 2*x - 1. Determine a*u(m) - 3*p(m).\nAnswer: m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 608145, 1216288, 1824431?\n\"Answer: 608143*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 + 302. Let j(v) = -5*v + 5. Let g(x) = x - 1. Give c*g(z) + 6*j(z).\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 487\/938 + 14\/(-28). Let w = -25091\/12194 + b. Let s = -182\/5 - -81\/2. Find the common denominator of w and s.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 - 6 = 0. Let y be 2\/((-6)\/9 - 15\/(-9)). Suppose -3*n = 4*p - y*p - h, -p = n - 4. Put p, -2, -4 in ascending order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*f = -3*i + 13, f = -3*i + 13. Let m be i*(0 + (-20)\/(-8) + -2). Let r(p) = 2*p + m*p**2 + 4 - 10*p**2 - 5. Determine r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -177. Let p = u - -5. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3971?\nAnswer: -3971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 - -227. Let v(q) = 2*q**3 - 10*q**2 + 14*q + 2. Let t be v(11). Let z be t\/18 + 4\/(-3) + 2. Calculate the highest common divisor of z and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k**5*y + 312*k**4*y**3 + 6*k*y**3 + 2*k*y - 3*y**3 - 19*y wrt k.\nAnswer: -120*k**3*y + 3744*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 divided by 98.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8 and -182370.\nAnswer: -182370.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1106004902 to the nearest one hundred thousand.\nAnswer: 1106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 372 = 4*n. Let d = 87 + n. Calculate the greatest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 12*w**2 - 18*w + 22. Let g be r(-10). Let d be 8\/(-5) + 3\/5. Sort d, 0, g in decreasing order.\nAnswer: g, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -10\/11 (c) -1097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-14) - 30\/20*25\/((-3150)\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4438049 * -0.4.\nAnswer: 1775219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:24 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 4 - (-9 + 0). Suppose -q*u = -84 - 132. Let p = u - 34. Solve -f + p*f = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -104, -151, -238, -377?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.3 (c) 4 (d) 2 (e) 0.3 (f) -16.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 55048256?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 9*w**2 - 11*w - 4. Calculate n(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207 (base 8) in base 3?\nAnswer: 1120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11336 + -6.11336. Sort o, 31, 5 in ascending order.\nAnswer: o, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 60 = -0*u - 2*s, 0 = -5*u - 5*s + 360. Suppose 8*y = u + 12. Solve -6*q + y = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 = 3*r. Solve -20 = 2*p + r*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/12 (b) -46 (c) 3\/2 (d) -18 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 5. Let y be g(11). Let l = 8 - y. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(672))*-6 + sqrt(168)\/(sqrt(16)\/sqrt(4)))\/(sqrt(150)*2*-4).\nAnswer: 29*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3758 + 0*b**3 - 4*b**3 - 3758 + 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -390560 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0834218846 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -758376894 and 7.22.\nAnswer: -758376886.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65451960 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: Express (-3 + 3 - z)*(1915 + 591 - 531) + 2*z - 4*z - 4*z as v*z + u and give v.\nAnswer: -1981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 - 5*r**2 - 6*r. Let d(w) = w**3 - w**2 - w. What is 6*d(n) - z(n)?\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/620 and -53\/310.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(52)\/sqrt(4) + 0).\nAnswer: -30 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - g)*(0 - 2 + 4)*(-6 + 6 + 4)*(-g**3 + g**3 - 3*g**3).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1102121?\nAnswer: -1102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6294)\/(-8))\/(((-2565)\/(-304))\/45)?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (-14 + 10 + -9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3129, -3134, -3163, -3216, -3293, -3394?\nAnswer: -3519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f. Let j(h) = -594*h**2. Give g(j(a)).\nAnswer: 1782*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(833) - (-2*3*sqrt(153) + sqrt(153)))**2.\nAnswer: 209457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2858 + -2862. Let z(a) = a**2 + a. Let k(i) = 3*i**3 - 2*i**2 - 4*i - 7. Determine x*z(d) - k(d).\nAnswer: -3*d**3 - 2*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14818*o - 88233. Determine a(6).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.2. Let l = -15594\/7 + 2228. Let f = -0.021 - -0.031. Sort l, k, f in ascending order.\nAnswer: f, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12*a**(-2\/37) assuming a is positive.\nAnswer: a**(442\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.012 + 0.012. Let p = 25 + r. Which is the nearest to -0.1? (a) 5 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 21*g**3 - 465*g**2 - 48*g + 8. Let j(t) = -7*t**3 + 155*t**2 + 18*t - 3. What is 8*j(q) + 3*m(q)?\nAnswer: 7*q**3 - 155*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/28 + (-4)\/14. Let x = -122 - -121. Let t be -6*(-2)\/(-168)*2*x. Which is the fourth smallest value? (a) -2 (b) -0.4 (c) t (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18726184, -37452369, -56178554, -74904739?\nAnswer: -93630924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1200 divided by -50\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 24. Let o be n(-5). Let d(q) = -22 + 5 + 4*q - 5. Let v be d(o). Solve -5*u - 3*l + 19 = 0, 0*l - 2*l - v = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(2*f - 5*f - f + 2*f + f - f + (2 - 2*f - 2)*(3 - 4 + 3))*(0 + 1 + 1) + (f - 3*f + 3*f + (-2 - 1 + 1)*(4*f + 0*f - 3*f))*(-5 - 3 - 9).\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 378 divided by 6\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 3 + 3)*(2 + q - 2) - 18*q**2 - 43*q**2 + 14*q**2 to the form s*q**2 + n*q + m and give s.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 times 9?\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 2 + 3*q**3 + 0 - q**3.\nAnswer: -q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b - -4?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(121) + (sqrt(121) + -2*sqrt(121) - sqrt(121)))\/sqrt(11) + 4 + sqrt(22)\/sqrt(2) + -3 + -2)*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3\/2 (c) 4\/3 (d) -3387\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 15*n + 17*n - 34*n as j*n + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -59. Let x be ((-4)\/k*8)\/((-1)\/6). Let s be (-39809044)\/77 - x\/14. Round s to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*-3*sqrt(5) - (sqrt(100)\/sqrt(2))\/sqrt(10)) + (sqrt(30) + sqrt(750)*-2)\/(sqrt(18)\/sqrt(3)*1 + sqrt(6)))**2 + -1.\nAnswer: 20*sqrt(5) + 185\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -12*x - 12*x. Find the second derivative of 152*h**3 - 18*h**3 - 1339*h - 14*h**x + 1238*h wrt h.\nAnswer: 720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:20 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/120 - 9*v**3\/2 + 46*v. Let o(h) be the second derivative of d(h). Let b(r) = 9*r**2 + r**2 + 5*r**2. Give o(b(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133622 and 660158?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 + j + 1. Let k(x) = -10*x**3 + 4*x**2 + 4*x + 4. Suppose o - 20 = 6*o. Give o*w(z) + k(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-60)\/8)\/3*-4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 215 = -t, 215 = -0*t + t - 5*r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 431 = -1201. Calculate the greatest common factor of 884 and w.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9287 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29713 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 8*q - 1. Let n be x(-8). Let c be (-5 + 0 - -2)*n. Let m be 249\/51 + 4\/34. Solve -c*u - 8 = -m*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10457099239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56930\/7 or -8132?\nAnswer: -8132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) -5\/3 (c) 1\/203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f + 14 = 43*f. Let m(u) = 9*u**2 + 2*u + 1. Let a be m(f). Calculate the greatest common divisor of a and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*h - 359 = 0, -2*b - 5*h = b - 261. Let k = b + -95. Which is bigger: k or -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4 + 198028*f**3 + 2772758*f**2 + 2574728*f = 0.\nAnswer: -13, -1, 0, 99028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 + 8*j**2 - 2*j - 3 + 4*j + 16*j**3 + 8*j**3 in the form s*j**3 + k*j**2 + c*j + m and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.06, -10, 4, -0.0569 in descending order.\nAnswer: 4, -0.0569, -0.06, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-154)\/55*(-10)\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -417 divided by -139\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 11*c - 23. Let w be p(13). Let m = 2 + -3. Put m, -2, w in decreasing order.\nAnswer: w, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 4*m - 6. Let x = -39 - -43. Give g(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77161196?\nAnswer: 2, 7, 79, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11.6 (b) -1\/4 (c) -3 (d) 0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 343, 1121, 2637, 5137, 8867, 14073, 21001?\n\"Answer: 41*w**3 - w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 110, 4, -4, 19, 2 in descending order.\nAnswer: 110, 19, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20402676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4777394274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j + 70. Let d be a(3). Let g(p) be the first derivative of 9\/2*p**2 - d + 0*p - 5\/3*p**3. What is the second derivative of g(i) wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 + 23*v + 123. Let h be r(16). Do -1558 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**3 - 36*v**2. Let q(s) = -s**2. Let o = 1063 - 1099. Give o*q(k) + r(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 - 9*q**3\/2 - 29*q**2\/2 - 39*q\/2 - 9.\nAnswer: -(q + 1)*(q + 2)*(q + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*r = -35, 2*f + 2*r + 0 = -18. Let x = 0 + 6. Which is the smallest value? (a) x (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 times -0.045?\nAnswer: 5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4904407.00664 + -4904165. Let m = 242 - w. What is m rounded to 4 dps?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 95. Let h(y) = -y + 4. Let u(o) be the first derivative of 3 + 3\/2*o**2 - 9*o. Calculate k*h(g) + 4*u(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 309*l**2 + 10*l - 19. Calculate the remainder when a(2) is divided by 179.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129486.\nAnswer: 2, 3, 7, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/23 - 135582*i**2\/23 - 7046208*i\/23 - 91583128\/23.\nAnswer: -2*(i + 26)**2*(i + 67739)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 + 4*m**3\/3 - 3*m**2\/2 + 2*m - 4. Let s be g(4). Let t = 12 + s. Solve 0 = t*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1186 and 18?\nAnswer: 10674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (102\/12)\/((-3)\/(-6)). Suppose -5*w + 4*y = -t, 2*y + 1 = -3*w - 2. Let b(i) = 135*i**3 + i**2 + 2*i - 1. What is the tens digit of b(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 3 - 35*f**3 + 0*f**2 + 34*f**3 - 3*f - 6*f**2. Let y be s(-5). Let u(r) = r**2 - 9*r - 5. What is the units digit of u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 13, s: 3}. Give prob of sequence ddss.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.07, 457\/12, -0.4.\nAnswer: -0.4, 0.07, 1, 457\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + t. Let v be j(-1). Let c be (4\/(-1*4))\/((-3)\/51). Let s = c + -12. Solve 0 = -v*y + s*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72242*x**5 - 9*x**2 - 5597.\nAnswer: -4334520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 7d15?\nAnswer: 7d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 19, 16, 29, 64, 127?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365 and 2117.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -2512664?\nAnswer: -13\/1256332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**5\/3 - 340*y**4\/3 - 1679*y**3\/3 - 1340*y**2\/3 = 0.\nAnswer: -335, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 35*h = n - 15, 0 = 3*h - 5*n + 107 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**5 - 59604*c**3 + 3*c**2 + 8546735*c wrt c?\nAnswer: -80*c**3 - 357624*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.3 + -6.7. Let j = 16.1 + q. Which is the third biggest value? (a) -0.5 (b) j (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5027727 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*o - 17079 = 504*o - 55383 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.25926 litres?\nAnswer: 68259.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-129) + 65436\/9030 - 3. Put 4, i, -0.4 in descending order.\nAnswer: i, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let h(b) = -83595*b**2. Determine h(z(m)).\nAnswer: -334380*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 15387.\nAnswer: -46161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*b**3 + 88*b**3 + 1085 - 1085.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/(3*-1). Let s = 3\/1003 + 904\/33099. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(12\/432*-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151\/501 - -16\/501. Factor -d - 1\/3*i**2 + 2\/3*i.\nAnswer: -(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5023630649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let a(r) = -r**2 + 4*r + r**3 - 4*r**2 + r**z - 4. Let c be a(4). Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a + 5. Let g = a + 9. Let n be -3 - 9\/(-2)*6. What is the greatest common factor of n and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5655 is divided by 257.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 2111, 3957, 5801, 7643?\nAnswer: 9483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + (-4 - (-2 + -6)))*1. Let p = -0.13 + -0.37. Which is the biggest value? (a) p (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1232 (base 6) to base 4\nAnswer: -10310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-2) + 0 + -36 + 2825.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (760 - 17) + 16 + -14 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2 + 6*k + 14. Let b(q) = -9*q**2 + 7*q + 14. Let u(i) = -7*a(i) + 6*b(i). Find the first derivative of u(o) wrt o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*c**2 + 2 - 12785715*c + 4261902*c + 4261904*c + 4261909*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -718 and -740 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3038014 by 4.\nAnswer: 1519007\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*j + 5*j. Suppose 0 = -5*w - 4*l + j, -2*w + 38 = -w + 3*l. Suppose 3*m - 13 = w. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k**2\/6 + 716*k\/3 - 22\/3 = 0 for k.\nAnswer: 2\/65, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*l - 2528 = 328 + 245 + 7 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 less than -3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/7 - 56324*o**2\/7 - 48270*o - 506808\/7 = 0.\nAnswer: -28156, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.320397 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -89 - -65 - (-27 + 0). Suppose -1\/2*j**5 + 0 + 2*j**2 - 3*j - 3\/4*j**4 + 9\/4*j**g = 0. What is j?\nAnswer: -2, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 21.3\nAnswer: 447.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -24 - (-3 - -4). Let m(g) = -6 - 1121*g**2 + 562*g**2 - 9*g + 558*g**2 + 18. Let q be m(-7). Which is greater: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y - 24477 = -3*x, 0 = -2*x + 4*y + 16318. Suppose -5*n + 21550 = -5*a, -2*n + 12932 = -2*a - a. Let q = x + a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(4\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/12, 366, -0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5 + 384*p**4 + 5463*p**3 + 5076*p**2 = 0.\nAnswer: -12, -1, 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-358*n + 347*n + 6 + 13)*(-3*n + n + n) + 3*n**2 + 1 - 3 - 2*n**2.\nAnswer: 12*n**2 - 19*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:37 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5826?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 767, 766, 765, 764, 763, 762?\n\"Answer: -z + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3818 - -3933. Solve -51 = 132*y - n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87648\/280896 - 4\/14.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*y - 2*y + 174, 0 = 5*s - y - 216. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-986453.\nAnswer: 45376838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, 57 in decreasing order.\nAnswer: 57, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:52 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 102\/108 + (-6)\/9. Let h = -2\/9 - s. Let k = 6.36 - -2.64. Which is the third biggest value? (a) k (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 687.18 millennia?\nAnswer: 68718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 119, 121, 123?\n\"Answer: 2*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -533, -843, -1153, -1463, -1773?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 4, -5*s - 5*g + 155 = 0. Does 16 divide 3\/(-7) + 1356\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**3 + 13\/6*k**4 - 10*k + 0*k**2 + 0. Let o(t) = -2*t. What is o(p(g))?\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*r**2 - 86*r**2 - 136*r**2 + 2*r - 8 + 71*r**2 - 54*r**2.\nAnswer: -310*r**2 + 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -647.9489 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**4 - 15*u**3 + u**2 + 1. Let d(z) = 623*z**4 - 15*z**3 - 6*z**2 - 61*z + 1. Let f(w) = c(w) - d(w). Find the third derivative of f(b) wrt b.\nAnswer: -15000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2902 - 150 = 0. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11942 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s = -8*s - 460. Put -20, -51, s in decreasing order.\nAnswer: s, -20, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + 160?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 88 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446315 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13 - 20 = 4*c, -5*r - 10 = 5*c. Let i(k) = k**3 + 8*k**2 + 9*k + 10. Let f be i(c). What is the units digit of f\/(-12) - 26\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 0*y + 0*y**2 - 1\/5*y**3 + 6. Factor q(m).\nAnswer: -3*m**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 224 = -26. Calculate the lowest common multiple of t and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or 98046?\nAnswer: 98046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64671091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 37\/29 (b) -5 (c) -28 (d) 7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 11:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (384\/(-40))\/(-8)*15*11\/(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/8 and (-220)\/36*(-6 - (-30)\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1115\/5058 + 1\/562. Which is greater: x or -2.53?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 117.\nAnswer: -117.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + sqrt(75) + -1)*-6 + (-5 + -2 + (sqrt(75) - 5*sqrt(75)) + sqrt(75))**2.\nAnswer: 180*sqrt(3) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 - (4 + -1 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.9 - -7. Which is greater: n or -0.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.4 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.7335ng in kilograms?\nAnswer: 0.0000000008797335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 p when four letters picked without replacement from {p: 3, n: 1, s: 1, b: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*v + 32*v - 2*v + 118*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21627 is divided by 10811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 968, 2034, 3894, 6548, 9996, 14238?\n\"Answer: 397*p**2 - 125*p + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 358 = -234. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 6, 4, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/17, 28, 0.1?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/660 - 2*o**5\/11 + 100*o**4\/11 + 133*o**3\/6 + 22*o - 5. Let h(g) be the second derivative of p(g). Factor h(w).\nAnswer: 6*(w - 20)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9.26, -3, 11, -0.384?\nAnswer: 9.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 1256164*p\/9 - 1256158\/3.\nAnswer: -2*(p + 3)*(p + 628079)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/38106 and 15\/14?\nAnswer: 266742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19185024259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139\/14 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221630 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - (-3 + (-144)\/27). Let u(s) be the third derivative of -10*s**2 + 1\/24*s**4 + 0 + a*s**3 + 0*s. Determine u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3.8 (c) -4 (d) -311 (e) 4 (f) -2\/25 (g) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31953913 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26471 - -68480480\/2587. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(413*g + 2089 + 4469 - 411*g - 1221) to the form i*g + d and give d.\nAnswer: 5337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 141 = -g, 8*p - 6*p + 457 = 3*g. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12*(-308)\/(-30). Let c = a - 1119\/20. Which is bigger: c or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w - 13. Let c(x) = 1 - 3*x - 3*x + 7*x. Let v(b) = -22*c(b) - 2*z(b). What is the units digit of v(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*s**3 + 130*s**2 - 1378*s.\nAnswer: -444*s + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a317 - -46?\nAnswer: a35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - s**3 + s**3)*(56*s - 43 + 43).\nAnswer: -56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/7 - 4*w**3\/7 + 2*w**2\/7 + 4*w\/7 = 0. What is w?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {p: 8, t: 1, r: 2, u: 5, m: 3}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/102643 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625985 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/3 - (-2)\/3. Let f(v) be the third derivative of v**4\/24 - v**3\/2 + 11*v**2. Let y be f(6). Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4933\/5 - -990. Factor 16\/5*p**2 + 0 + z*p**3 + 4\/5*p + p**4.\nAnswer: p*(p + 1)*(p + 2)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 8*i**2 + 6*i - 7. Let c be q(-7). Suppose -5*z - o + 96 = c, -4*z + o + 96 = -3*o. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*w + 10, 3*w - w = 3*i - 81. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161845647.\nAnswer: 3, 53948549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.520881 seconds to milliseconds.\nAnswer: 1520.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 633\/5. Let y be 10434\/2340 + (-1)\/6 + -2. Let h = y - 22\/13. Which is the nearest to q? (a) h (b) 0.05 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 + 2)\/4. Suppose -4*c + 9 = -7. Suppose c*j - 11 = 1. Put j, -4, k in descending order.\nAnswer: j, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*b - 378 = 96*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 474857837 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 - 13*v + 12. What is the remainder when d(5) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - 5.78. Let n be (20\/(-15))\/(2\/(-9)). Let w be ((-24)\/18)\/((-2)\/n). Which is the closest to 1? (a) 3 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/17 + 700*t\/17 - 61250\/17 = 0. Calculate t.\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10628*p + 563234. Calculate a(53).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 61. Let o(m) = 2*m**2 + 2*m - 2. Let f be o(-2). Let p be 30\/8 - f\/(-8). Solve 3*h + c + 2*c + q = 0, -p*h - 15 = -5*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(539) + (-2 + sqrt(539))*-1 + sqrt(539) - 6*(-2 + sqrt(539))))**2.\nAnswer: -24500*sqrt(11) + 341773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326349 and 29157873?\nAnswer: 4029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/252 and 179\/29790?\nAnswer: 417060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -93.4. Let w = 57.09 - p. Round w to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6347 and 605?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4822e - -9?\nAnswer: -48225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*s - 30. Suppose 6 = -x + s. Suppose -8*b = -x*b - 296. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 294337, -58, 0 in descending order.\nAnswer: 294337, 2, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -32, -76, -134, -212, -316, -452?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 30. Let j(y) = y**2 - 7*y + 3. Let f be j(l). Let c be (0 - 0)\/(f - -4). Is 2\/3 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 (base 16) in base 9?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 6*m + 3. Let q = -3 - -6. Suppose q*f = f - 10. Let t be n(f). Which is greater: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -650822*v - 156203 wrt v.\nAnswer: -650822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8078776\/13 or 621445?\nAnswer: 621445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*q - 4*w + 100, 46 - 286 = -8*q - 2*w for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 64 - 91 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 3. Let t be o(-4). Let k = t + -16. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.0056\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14, 0.2, 4, 19\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n - 5. Let t(g) = -4*g - 6. Let u(x) = -6*m(x) + 5*t(x). Let o(q) be the first derivative of -q**3\/3 - 1. Determine o(u(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19401, -155220, -523873, -1241778, -2425353, -4191016, -6655185, -9934278?\nAnswer: -14144713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)*m**17\/m)\/(((m*m\/(m\/(m\/(m*m**(6\/7)\/m))))\/m)\/m*m*m\/(m\/m**(6\/13)*m)*m) assuming m is positive.\nAnswer: m**(3839\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h**2 + 13*h + 46. Let k(s) = -7*s**2 - 6*s - 23. Let f(g) = -6*j(g) - 11*k(g). Let o be f(-9). Solve -5 = 5*v - 20, 18 = o*c + 2*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:36 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 - 4*n**2 + 1 - 232*n**2 - 387*n**5 wrt n?\nAnswer: -23220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (27 - 14) - -10) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u - 34. Let f be d(6). Suppose -3*k = -f - 31. Let q be k*4*3\/(-6). Is -22 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -23. Let m(z) = -z**2 + 33*z - 29. What is the remainder when 97 is divided by m(v)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 4*y + 168. Let h be g(11). Suppose 0 = -2*t + 1 + 11. Sort h, t, -1, -4.\nAnswer: -4, -1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13031 - -1?\nAnswer: -13030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7381*u - 6*k = -7384*u + 57, -5*u + k + 0*k = -32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1504*j**2 + 141*j + 141. Let d(t) = 43*t**2 + 4*t + 4. Let v(r) = -141*d(r) + 4*u(r). Let h(y) = -12*y - 11*y + 0*y + 22*y. What is v(h(g))?\nAnswer: -47*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-7\/3)*t**43*t*((t**(-36)\/t)\/t)\/(t*t**(-1\/11)\/t) assuming t is positive.\nAnswer: t**(190\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = 4*m - 5*g + 460, 0*m - 3*m - 198 = 3*g for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - 4*r**2 + 4*r**2)*(1 - 6 + 0 + (-1 + 1 - 1)*(2 + 0 + 0)).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from nffcgffffnaalfnfl?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 156264.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14621)\/(-2) - (0 + (-2)\/4 + -2).\nAnswer: 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.01 - -1.1. Let z = g + -0.49. Let l = -45 + 46. What is the smallest value in -3, z, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54\/5*v - 24\/5*v**2 - 2\/5*v**3 + 0.\nAnswer: -2*v*(v + 3)*(v + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 4*a**3 + 0*a**3 - 17*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, i: 7, v: 5}. Give prob of sequence jjjv.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**4. Let h be 16 + (-6)\/(0 - -3). Let t(d) = -10*d**4 + 4*d. Let x(j) = h*r(j) + 2*t(j). What is the second derivative of x(b) wrt b?\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -36. Let g(o) = 288*o**3 - o**2 - 5*o + 9. Let q be g(v). Let k = q - 220993\/12. What is the common denominator of -9\/8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5459046*q**3 + q + 296760?\nAnswer: -32754276*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 88 - (-48 + 4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let x(d) be the first derivative of -d**2\/2 - 2*d - 36. Calculate x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18\/2095 - 3992\/23045. Let k be ((-2)\/4)\/(2\/4). Sort -1\/2, l, -6, k.\nAnswer: -6, k, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose -10 - x = 4*k. Is k equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/12*(-9)\/(-10). What is the nearest to 2\/3 in m, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83960 - 83912.381. Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*h - 5*v, 0 = h + 2*v + 6. Suppose h*f - 2*r = -0*r + 40, -4*f + 76 = -5*r. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833\/1*(100\/10 - -31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6039 - -6042. Let g(r) be the first derivative of -13\/4*r**4 + 20 - 16*r + 0*r**n + 0*r**2. What is the first derivative of g(f) wrt f?\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607951691 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16679, 18158, 19629, 21086, 22523, 23934, 25313, 26654?\nAnswer: 27951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/3 + 27308*q**4\/3 - 218512*q**3\/3 + 437056*q**2\/3.\nAnswer: q**2*(q - 4)**2*(q + 27316)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -92. Let a(v) = 4*v**2 - 34*v + 12. What is the tens digit of a(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 + 8 = 0. Solve -2*o = -a*x - 6, 10*o - 15 = 2*x + 5*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.69776um in centimeters?\nAnswer: 0.003169776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16330954 is divided by 2337.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -94, -283, -652, -1261?\n\"Answer: -10*q**3 + q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -641 and -0.05?\nAnswer: 640.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a, 3*p + 2*a + 3*a = -4614. Let o = p + 2441. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 29. Let t be h(-10). Let v = t + 0. Let i(p) = 2*p - 12. Determine i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 + 533*r - 19. Determine c(-21).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) 13 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -9\/19535 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 24*m**5\/5 - 5*m**3 - 17. Find the third derivative of i(d) wrt d.\nAnswer: 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 4) + 392\/396. Let g = r - 91\/792. Let a = 120 + -116. What is the biggest value in g, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 + 3*h - 2. Let c(m) = -5*m**3 + 5*m - 3. Let j(y) = -5*c(y) + 8*l(y). Let r = 15 + -9. Suppose -r*s + 0 = 6. What is j(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 821466 = -11466. What is z rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -2 - 2)*-2. Let m(b) = -23*b - 5. Is m(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 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: Simplify ((sqrt(128) - (sqrt(128) + -4)*6) + 4 - (-1 + 1*sqrt(128) + 0 + sqrt(128)))**2.\nAnswer: -3248*sqrt(2) + 7113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v - 4*v)*(2 + 1 + 0) + 0*v + 4*v + 0*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -165*f + 22*f**2 + 1158*f - 658*f in the form m*f + d*f**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -355*p**3 - 72*p**2 - 138543.\nAnswer: -1065*p**2 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 45*z + 630 = 0. Calculate the smallest common multiple of z and 24 + -14 - (-6)\/(-2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 25*p + 54. Suppose 555*x - 547*x = 16. Calculate the remainder when 300 is divided by k(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 41 + 3*y**4 + 2*y**2 - 5*y**4 - 12*y**3 - 27 + 4*y + 4*y**4 to o*y + l*y**3 + t*y**2 + j + a*y**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.74 * -2065456.\nAnswer: -3593893.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*s + 32, t - 4*t + 4*s = -23. Let j(y) = -y**3 + 5*y**2 + 7*y + 1. Let q be j(5). Calculate the greatest common factor of q and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -91, -40, 33, 128?\n\"Answer: 11*m**2 - 4*m - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13829*m**3 - 4*m**2 + 944412*m - 1?\nAnswer: -82974*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/6 - 4*n. Let r(b) be the first derivative of -2*b**3\/3 + 1. Calculate r(g(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256574921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 11*k**5\/20 - k**2 - 8*k. Differentiate c(v) wrt v.\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(24\/(-800)*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207\/595703 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 5*r**2 + 4*r**2)*(0*r - 7*r - 1 + 5*r + (2*r - r + 2*r)*(-3 - 3 + 4) - 4*r + r + 2*r).\nAnswer: 9*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 3*x - 4. Let u be s(-3). Suppose -2*a - 4*p = 3*a - 329, -3*p + 3 = 0. Suppose u*z - a = -0*z. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 14 = -g + 20, -2*q - 2*g - 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-27)*o**(2\/11)\/(o*o**(-2)) assuming o is positive.\nAnswer: o**(-581\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70497137.\nAnswer: 70497137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 178\/7 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 6*g - 10. Let l be z(7). Let j = -1 - l. Let w = 13 + -12. Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(192) + sqrt(192) + sqrt(192))*6 + -4)*-4.\nAnswer: -32 + 1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -55014 divided by -14\nAnswer: 27507\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -1047, -3374, -7947, -15540, -26927, -42882?\nAnswer: -64179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 + 46*d\/13 + 120\/13.\nAnswer: 2*(d + 3)*(d + 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-5))\/(7\/(-35)). Let m be (-1 + n)*1\/(7\/7). Suppose 4*g = 1 + 3. Solve g + m = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 2*c + 22. Let a be p(-5). Suppose -v + a*v = 30. Let m = 2 + -2.1. What is the second smallest value in m, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429913 + 429913 - 771*z.\nAnswer: -771*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-162)\/8)\/(68\/374*66) and -127\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50402 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272965209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -72898.\nAnswer: -72888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10460 + 146329\/14. Calculate the common denominator of t and 47\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {p: 2, v: 3, o: 2, j: 3, y: 2, c: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1305 - 782. Let a = n - 338. Suppose 13*t - a = 49. Calculate the lowest common multiple of 48 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-430)\/200 + 2)\/(18\/24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) + sqrt(228)*-1*5) - sqrt(228)))\/sqrt(12) + -2.\nAnswer: -3*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.21526mg to nanograms.\nAnswer: 4215260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.12, 106, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - (-1)\/1. Suppose -3*u = 4*h + 1 + 3, -4*h - 16 = n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82327, -164654, -246981, -329308, -411635, -493962?\nAnswer: -576289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*h, -k = 3*k + 5*h. Let y = 11 + -9. Suppose -i = -y*v - 22010, k = -i - i - 2*v + 43990. What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:20 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-684)\/(-19))\/9)\/((-1)\/2*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 26) + (-10 - -26 - 9)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.074734 tonnes to milligrams.\nAnswer: 7074734000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuixiziszo. What is prob of picking 1 z and 1 i?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*k*u + 6*i**2*k - 89*k*u + 2*u wrt i?\nAnswer: 2*i*k*u + 12*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.18 + -0.82. What is the nearest to s in -5, -3, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/((-7728)\/(-4807)) + (53 - 14)\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7018939, 7018924, 7018905, 7018882, 7018855, 7018824?\n\"Answer: -2*c**2 - 9*c + 7018950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 470.45 from -199.1.\nAnswer: -669.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*x + 336*x + 980 = 0. Calculate the smallest common multiple of (5 + -7)\/(1\/x) and 1.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + 3*b - 3. What is the remainder when 42 is divided by f(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4) + 8 - (7 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 210864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/56 and (63 - 0)\/9 + (-2295)\/294.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 3 + 3 + (-9*t - 33*t - 60*t)*(6*t**2 - 3*t**2 - 4*t**2).\nAnswer: 107*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.7755565 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 15.1. Let f = -7 + -1. Let m = f + i. Round m to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 353 - 45*r**3 - 767*r**3 + 45 wrt r?\nAnswer: -2436*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/5090521?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 971341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 3*g - 3*g + (0 + 1 + 1)*(0*g + g + 0*g) - 2*g + 2*g - g + 2*g - g + 0*g + (-1 - 2 + 1)*(g + g + 0*g) as l + r*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7874499 and 49871827.\nAnswer: 149615481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 275798.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 40*y + 386 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -176.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {l: 2, r: 2, o: 1, t: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + i**4\/8 + i**3\/3 - 4*i**2. Let t = -4 - -6. What is f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -0.3249, 2, 9, 1, 1\/5?\nAnswer: -0.3249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 217. Suppose -x*j - 8*d + 79 = -3*d, -25 = -j - 3*d. Suppose 8 = 9*n - 7*n. Solve n*t = -0*t - j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(3\/18*-2). Let m = 0 + d. Solve 18 = -2*o - 5*p, -3*o + o = -m*p + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/15253 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.037284 rounded to 2 dps?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 596?\nAnswer: -97\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, x: 1, b: 1, o: 3, m: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 2. Let u(s) be the first derivative of 1 + 4*s - 3*s + 1. Let p = -56559 - -56563. Give p*u(j) - o(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 585693*b**3 - 40132698 with respect to b.\nAnswer: 1757079*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 151 - 32 = 5*w, -4 = -p. Suppose -2*u + 3*u - 25 = -4*q, -w = -3*u + q. Solve u = -4*i + 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110100 (base 2) to base 16\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 26*n**2 + 27*n - 32. Let p be q(12). Which is the nearest to 0? (a) -2\/7 (b) 0.5 (c) -0.05 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17602603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.006117 weeks?\nAnswer: 0.042819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 5:54 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 27. Suppose 0*a - 2\/9*a**p + 2\/9 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 565, -0.097, 4?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528465*h**3 - 1056928*h**3 + 528460*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/((-27)\/54)*95?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95\/4, -1\/3, 0.1, -2\/3.\nAnswer: -95\/4, -2\/3, -1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -5 + 19. Suppose k*x - 10 = -0*x. Let g(a) = a - 5. Calculate g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(19) + sqrt(2736) + 1 + sqrt(2736) + sqrt(19) - (sqrt(76) + -5)) - (4*(sqrt(133) - (-1*sqrt(133) - sqrt(133))))\/(sqrt(7)*1*4))**2.\nAnswer: 294*sqrt(19) + 8428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17001 or -17002?\nAnswer: -17001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 12. Let z be t(11). What is the units digit of z - ((2 - 5) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -25. Let u be ((-54)\/8)\/(z\/16). Let s be u\/63*28\/(-6). Solve -3*b + s = -y + 18, 0 = 3*b + y + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7915*o - 2470*o - 2459*o to the form p*o + v and give p.\nAnswer: 2986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-276)\/(4\/2) - -1. Which is smaller: j or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {a: 7, u: 1, k: 3, g: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211121120 + -11?\nAnswer: -1211121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 9*j + 9. Calculate the smallest common multiple of d(-9) and 23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 615217*d**3\/3 - 9*d**2 - d. Suppose -16*y - 407 = -141 + 102. Let x be l(y). Round x to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320 - 1?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*x, -s - 2 = 3*x - 2*s. Is (-12)\/4 + 2730 - x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 44*j = -18. Let a be -1 + j + 4 + -39. Let g = -19 - a. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6909 + -4442. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6750 = -6752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -886 - -888.994. Let t = r - 3. What is t rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h - 375 = 29*h + 10*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-42)\/56)\/((-2)\/(-8)). Let s(w) = 9*w - 3. Let r(q) be the second derivative of -2*q**3\/3 + q**2\/2 - q. Calculate b*s(m) - 7*r(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 + 1159873*d**3 + 1776849 wrt d?\nAnswer: -8*d**3 + 3479619*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 25*f**2 + 2*f + 53. Let t be j(-25). Suppose l - r + 79 = -t*r, -431 = 5*l + r. Let k = 92 + l. Solve -10 = -k*i, -4*a - 5*i = -4 - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-630)*14 + (-20)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.46 and 0.013.\nAnswer: 0.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118\/(-118))\/(57\/(-6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876016480?\nAnswer: 2, 5, 5475103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1454 less than -1446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 12592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**2 + 15*s - 188. Give n(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 37321?\nAnswer: -147\/37321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35*5\/(-5 + 0). Let t = 99 + i. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*1*-3*sqrt(119))\/(sqrt(1008) + (sqrt(1008) - -5*(sqrt(1008) - sqrt(1008)*3)) - sqrt(1008)))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.095601ml to litres.\nAnswer: 0.000095601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 67 = 82. Solve -8*q + 3*q + 5*a = -25, 6 = -w*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60135 divided by 20045?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1636355 and 4909065?\nAnswer: 4909065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10*2)\/(44\/165)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 2}. Give prob of sequence em.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(3*l - 3*l + l**3) - 2*l**2 + 2*l**2 + l**3 + (15 - 107*l - 15)*(0 + 0 - 6*l**2).\nAnswer: 644*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 13 = 3*o, 0*o + 4*x + 3 = -5*o. Let u be 1 + (-3 + 2)*1. Solve u = 2*k - 3*k - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -142432014 (base 5) in base 15?\nAnswer: -ebdde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 106*v = 3*v + 124. Which is the nearest to 0.2? (a) v (b) 13\/5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 17*f + 8. Solve -f*u + 3 = -3*w - 2, 4*u = 2*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.049? (a) 312 (b) 0.08 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*v - 10*v. Let b = -25 + v. Let q(g) = 11*g - 8. Let t be q(b). Are 2 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14573 divided by 90.\nAnswer: 14573\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 9*x + 4. Let j be d(-9). Suppose 0 + j = 4*k. What is the units digit of -1 + k + (-3)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2680893796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y - 40*y**3 + 20*y**3 + 18*y**3.\nAnswer: -2*y**3 + 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3114227 is divided by 1557110.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 628*j**2 - 619*j - 8. Let s(i) = 6*i**3 + 4395*i**2 + 4335*i + 54. Let v(w) = 27*k(w) + 4*s(w). Factor v(d).\nAnswer: -3*d*(d - 209)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) 2\/3 (c) -0.4 (d) 0.04 (e) -740\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11524 or -218950\/19?\nAnswer: -11524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**7\/840 + z**6\/90 + z**5\/24 + z**4\/12 + z**3\/2 - 3*z**2. Let l(o) be the first derivative of q(o). Factor l(h).\nAnswer: (h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:41 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8750000 = 10*r - 3*r. Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5600 - 5282.1. Let s = -318 + x. What is the fourth biggest value in s, -1\/2, 4, 6\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwq when three letters picked without replacement from qmwqpmpppqqbwhh.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - v + 30. What is m(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(0 + 1)*-7. Let n = 60 - 28. Let q = n - z. What is the highest common factor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47.4 + 8.4. Let b = 77 + a. Let j = -38.1 + b. Is 2 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 17*c**2 - 6*c - 9. What is the remainder when b(-2) is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 880, 1389, 1968, 2617, 3336, 4125?\nAnswer: 4984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/(-77))\/((-67)\/2814)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llaaullpaluyyl. Give prob of sequence ylyp.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7915946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45889 and 227761?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4*a + 3*a - 84, 0 = 2*q - 5*a + 12. Let i = -8 - q. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 3*s + s + 4*s + s - 4*s + (-2*s + 0*s + 5*s)*(1 - 5 + 3) + 8*s - 6 + 6 + 2*s - 13*s - 2*s - 2 - 2*s + 2 + (0*s - 2*s + s)*(-2 + 4 - 1).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*x, 3*m + x + 13 = -0*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/14, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 18 = -11*i. Let q(l) = l**3 - 3*l**2 - 3*l + 5. What is the units digit of q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231110*x = -3231018*x + 828 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 2317.\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 10*o - 3*o**2 + 10*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 8. Let p = 9347 + -9348. Let j = 6 - 5.8. Put p, q, j, -0.5 in descending order.\nAnswer: j, -0.5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 8. Let n be y(10). Let a be (-14)\/n + 2 + 1. Solve 2*l - 7*l - a = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-247 - -1) - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19134 - -19521. What is the highest common divisor of 153 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = l + 3*b, -5*b = -4*l - 18. Let k(a) = -2*a. Calculate the remainder when 7 is divided by k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/66)\/(-4))\/((-3522)\/(-19371))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/((-2)\/9). Let v(i) = -i - 1. Let t be v(o). Is (t + 848\/(-6))*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 96 + 85)*(-4 + 2 - 2)*(k**3 - k + k).\nAnswer: -12*k**4 + 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 0*o + 151 = -3 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(-1 - 5 + 5)*(5*q + 0*q - 3*q)*(0 + 3 - 4) - 7*q - 2*q - 5*q + (5 + 1 - 4)*(-q + 0 + 0) to o + s*q and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21.24427 and 0.166.\nAnswer: -21.07827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 11, g: 3}. Give prob of sequence jjjg.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12*a**(-9))\/((a\/(a\/a**(1\/4)))\/a)**34 assuming a is positive.\nAnswer: a**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 != -391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 3. Let m(l) = 3*l - 1 + j. Let y(q) = 3*q**2. Determine y(m(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132453 and 88302?\nAnswer: 264906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2\/7 - 936*k\/7 - 73008\/7 = 0?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83337, 83326, 83315, 83304?\n\"Answer: -11*z + 83348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 - 0)) + (-45 - 3) + 56?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -876, -1749, -2620, -3489, -4356, -5221?\nAnswer: -6084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*t**2 + 435*t**2 - 56*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/(7\/14). Suppose r + 4*i - 7 = 0, -13*r - 3*i + 18 = -8*r. What is the highest common factor of w and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -87, -393, -13?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 a when four letters picked without replacement from {r: 4, a: 4, o: 9}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/220 and -61\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4870*m**2 - 156*m + 3. Let x(f) = 9739*f**2 - 317*f + 8. Let o(t) = -11*i(t) + 5*x(t). Find the second derivative of o(q) wrt q.\nAnswer: -9750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:08 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/52248 and 31\/8377096.\nAnswer: 25131288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 15 = 5*w - 2*w, -25 = -5*i + 5*w. Suppose k - 12 = -i. Suppose c - n - 223 = -4*c, 2*n = 2*c - 86. What is the remainder when c is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.81 + 0.91. Let s = 1.9 + d. Let q = s - -12.3. Is q smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from zzcksk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:12 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -552, -555, -558, -561, -564, -567?\n\"Answer: -3*l - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3863 + 3863.2. Which is the nearest to -0.3? (a) 0.5 (b) 66 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -270 + 275. What is the biggest value in g, 3, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -949.5 - -950. Which is the second smallest value? (a) 2\/15 (b) 2 (c) 92 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + (4 - -4) + -12 + 16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228922 divided by -1.\nAnswer: -228922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 33*y - 30*y + 950500 = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 378 - 379.79. Let g = o - 0.21. Let z = 401 - 6013\/15. Which is the second biggest value? (a) g (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49728 and 5952.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17500296 - -17500299.0999724. Let b = -3.1 + j. Round b to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3027 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-13 - -2) + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57079*x**2 - x + 5615 wrt x?\nAnswer: -114158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*v - 154*c**3*v**3 + 7*c**2*v + 83*c*v**3 wrt c.\nAnswer: -48*c*v - 924*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22 - 8*v**2 - 15*v**4 + 7 + 15 wrt v?\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24324109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -37*u + 48. Let f be g(28). Let x be ((65\/4)\/5)\/((-19)\/f). Calculate the highest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-8))\/((-2100)\/(-500))*1?\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-5\/4)*v*(v*v**(-8)\/v*v)\/v)**14)**(1\/34) assuming v is positive.\nAnswer: v**(-105\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165646?\nAnswer: 2, 13, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3408234.5 and -0.5.\nAnswer: 1704117.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18293 = 473*v + 1260*v + 101284 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 20*u + 15. Is 22 a factor of h(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.71 - 0.71. Is -0.1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58394*u**2 + 2*u - 5321?\nAnswer: 116788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 1:44 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 39*z + 41*z - 11*z + 2 - 2*z. Is j(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 7477, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v + 2*m, 3*v + 20 = -2*m - 8. Let i(p) = -p**3 - 8*p**2 + 5. Let k(s) = -s**2 - s + 1. Let b(t) = i(t) - 2*k(t). Determine b(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 472\/18 + 40\/(-180). Let g be (-3080)\/(-7020) + 4\/k. Let a = 2\/27 + g. What is the closest to 1 in 0.2, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 788*a**3\/5 - 312*a**2\/5.\nAnswer: -4*a**2*(a - 39)*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 19 - 17) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.6 and 6389.\nAnswer: 6374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 13*n - 2. Determine o(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-21)\/12)\/(1\/4). Let p(s) = -s**3 - 8*s**2 - 6*s + 5. Let h be p(m). Let a = 2 - 3. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 43*u + 4125. Give r(-76).\nAnswer: 857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16701, -33339, -49977, -66615, -83253, -99891?\nAnswer: -116529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b (base 13) in base 6?\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + i + 4 + (2*i + 2 - 2)*(-15 + 34 - 15)*(2 + 0 + 3).\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 23\/10, 14\/15019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 3 in decreasing order.\nAnswer: 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 20757 = -2*d + 20757, d = j - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29837845 + 129913.\nAnswer: 29967758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 314*m**2 + 629*m\/2 - 236\/3.\nAnswer: -(m + 472)*(2*m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 6871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let o(g) = -g**3 - 4*g**2 + 7*g + 9. Let m be o(-5). Let k(t) = t**4 + 4*t**3 + 4*t**2 + 3*t. Let c(j) = m*k(j) + 3*x(j). Solve c(y) = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 + 72078.\nAnswer: 72076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/355)\/(46*54\/(-12420))?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**11\/(c**6\/(c**1\/c)))**(-22) assuming c is positive.\nAnswer: c**(1144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmjmmjjjmjmmmmmm. Give prob of picking 2 m.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 44 = -7*s. Solve 5 - 1 = s*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 f when three letters picked without replacement from {b: 4, f: 3, u: 1, e: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-441)\/14) + (-1)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 - (-160)\/(-275). Let t = 0.16983 + -0.16983. Let m = -19 + 6. What is the closest to -0.1 in y, t, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -3, 0.5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 8922 = -27*b - 87098. What are the prime factors of b?\nAnswer: 5, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566893693?\nAnswer: 566893693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w - 1. Suppose 2*a = 6*a + 4. Let p be s(a). Suppose -79*n - 23*n + 82 = -122. Sort n, p, -2.\nAnswer: p, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1662, 6739, 15202, 27051, 42286, 60907, 82914?\nAnswer: 108307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4096609 and 7106?\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16685.09122966 and -25?\nAnswer: 16660.09122966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*a*t**3 - 613*a*t**2 + 6*a - 348*t**3 - 975*t - 1 wrt a?\nAnswer: -14*t**3 - 613*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 47899 + 47883 = 0, o + 4*m + 20 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 0.1 (c) 103 (d) -0.2 (e) -239 (f) 0.04 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179\/4 + 45. Let y be (-2 - -1) + 30\/25. Let w = -50.5 + 50. Which is the third smallest value? (a) y (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 2*m. Suppose -2*q - q - y = -10, 11 = 4*q - y. Suppose -4*a = 6*d - 3*d - 21, -2*a + d + q = m. Solve a = -2*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k. Suppose 5*g = -4*d + 10, k = -3*d + 8*d - 5*g - 35. Solve -5*o + 5*r = -30, 4*o - 10 = d*r + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2060121 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8474000 rounded to the nearest 100000?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = 22. Let x be -5*(-8 - 0 - -2). Let w be (x\/(-18))\/(2\/(-6)). Put h, w, -4 in decreasing order.\nAnswer: w, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3388141230 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.4041 * -0.4.\nAnswer: -6.56164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s + 20 = 34*s. Let i(p) = -p**3 - p**2 + 19*p + 10. What are the prime factors of i(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 666 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 2*m - 9. Let s be t(-3). Solve 0 = s*j - 3*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + x = -19, 5*c + 2 = -11*x + 144. Calculate the highest common factor of 1807 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*y - 0*y - 457, y + 1386 = 3*h. Suppose -3*o + h = 4*g, -2*g = g + 6. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013915949 rounded to 7 dps?\nAnswer: -0.0001392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 3. Let x(m) = 52 - 21 - 27 - 2*m - m. Suppose -1143*f + 1155*f = 48. Give f*z(a) + 3*x(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:07 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1008)*2 - sqrt(1008)) - sqrt(1008))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 3*v - 2325 + 2462 = 0, 5*a + 59 = -2*v for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**31)**13 assuming r is positive.\nAnswer: r**403","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z - 2. Let w be d(-4). Let h(u) = -u**2 + u - 2. Let y be h(w). Let g = y + 9. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) 0.02 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 6*i - 20*i as b*i + j and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -3, 0, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -6*3*1*(sqrt(252) + -1)*4.\nAnswer: -432*sqrt(7) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 18*j**2 - 36*j + 36. Let m(t) = -37*t**2 + 73*t - 73. Let l(b) = -3*m(b) - 7*v(b). Let f(u) = u**2 - 2*u + 2. Give 33*f(h) + 2*l(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 14 - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 7*q**2 - 15*q - 9. Let j be g(-4). Let r(k) = -j*k + 4*k - 6*k - 9 + 2*k. Give r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200700 is divided by 200695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51\/5, 0, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1112?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -188 in ascending order.\nAnswer: -188, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -3 (c) 0.00943 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 5*o + 1. Let m be j(5). Let x be (1 + -2)\/(m*3). Let g = 101.4 - 96.4. Which is the nearest to 1? (a) g (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 181512848 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let u be n(0). Suppose -4*a - 11 - 33 = u. Let w = -9 - a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3972 + 3972 - 155*x**2 + (2*x**2 - x**2 + x**2)*(-2 + 4 - 1) - x**2 - 3*x**2 + 7*x**2 to the form l*x**2 + c + g*x and give l.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2333631 hours?\nAnswer: 840.10716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 275a9?\nAnswer: -275b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.24 - 2.4. Let n = 3.7 - 4.64. Let c = r + n. What is the closest to c in -5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (112\/(-91))\/8 - 42\/(-104). Sort 3\/7, 0.4, -11\/7, z in increasing order.\nAnswer: -11\/7, z, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5 + 1?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -305 + -3?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 49*o**4\/8 + 83*o**3\/6 + 91*o**2 + 6*o + 3. Let z(i) be the first derivative of k(i). Differentiate z(y) with respect to y.\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6362 (base 9) to base 15.\nAnswer: -15b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = 3*m, -3*m + 2*y - 6*y + 29 = 0. Let u = 9 - m. Suppose -w + 359 = u*a, -206 = -w - 4*a + 153. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*p**3 - 976*p**2 + 1927*p**2 + p - 957*p**2 + p**4 to y*p**3 + v*p**2 + r*p + w*p**4 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 17*u - 89*u = 94*u - 9114 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 288559093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-15))\/((-2)\/5). Suppose -u*s = -4*s. Solve -7*b + 2*b = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3650 - -95. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394943949.\nAnswer: 7, 3881, 51347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 31302?\nAnswer: 31251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2*v**3\/45 + 398*v**2\/15 + 528*v\/5 + 6577. Factor m(z).\nAnswer: 2*(z + 2)*(z + 396)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 629366186 - -4?\nAnswer: 62936618a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -691.7 rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17843, 26142, 34441, 42740, 51039?\nAnswer: 59338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhrrhrwghp. What is prob of picking 4 r?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f**4 + 18*f**4 + 24*f**4)*(0*f + 4*f + 8*f) - 2*f**5 - f**5 + f**5.\nAnswer: 322*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(3\/8). Suppose 344 = 3*x - a*r + 106, 3*r + 12 = 0. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 1\/18, 555927?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 22 = -9*p. Suppose 0 = 15*s - p*s. Sort -12, s, -2 in decreasing order.\nAnswer: s, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2615 - 8825. What is m rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u - 4)*(4*u**2 - 4*u**2 - 2*u**2 + (-2*u - 2*u + 2*u)*(-2*u - 2*u + 2*u) + 63*u**2 + 123*u**2 - 24*u**2)*(5 - 2*u - 5).\nAnswer: 328*u**4 + 1312*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g\/g**15)\/g)\/g*g*g**25*g assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-6))\/(((130\/(-39))\/2)\/5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8240 and 3186760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 12. Suppose -b + t = 3*b. Solve b + 2 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5542.\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13264*a**5 + 56*a**2 + 1667606*a wrt a.\nAnswer: 265280*a**3 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 103567 (base 8) to base 9\nAnswer: 52512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**2 + 11*l**2 + 5*l**2 + 6*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 125, 263, 495, 821?\n\"Answer: 47*w**2 - 3*w + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2003058263 at most -2003058263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475))**2 - (-2 + sqrt(19))*-5.\nAnswer: 5*sqrt(19) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(18\/11)*t**(-2\/63)\/t assuming t is positive.\nAnswer: t**(419\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 1, b: 1, t: 1, x: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 23 + 44 - 21. Let s(v) be the first derivative of 3*v**2\/2 + 5*v - 674. Give a(s(t)).\nAnswer: -6*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 3. Give m(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -19, -49, -101, -181, -295, -449, -649?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.5 + 60. Let a = -13.046 + 0.046. Let f = a + 14. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-12)\/18*3) + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 2, d: 4}. What is prob of picking 2 v and 2 u?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 39. Let c = -17 - j. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3\/13 - 3742*i**2\/13 - 13146*i\/13 = 0.\nAnswer: -7\/2, 0, 939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + 7*y)*(-46*y - 32*y + 55*y)*(0 - 6 + 3).\nAnswer: 621*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*f - 4*f = -164, 0 = -5*j - 5*f + 165. Put j, 4, 0, 2 in decreasing order.\nAnswer: j, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 16, 4*n - 40 = n + h. Suppose n = 7*g - 5*g. Is 173971\/105 + g\/(-135)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78600\/275 + 4\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 16 = -38*m + 191*m, -3*m + b - 153 = -161 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182755704.\nAnswer: 2, 3, 431, 307691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -2406.529.\nAnswer: 31284.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b**2 - 2. Let t(i) = -56*i**2 - 47*i**2 + 154*i**2 - 48*i**2. Determine v(t(w)).\nAnswer: 198*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -59 + 26 + 78 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**2*r**2 - n**2 - 10*n*r + 61*r**3 + 6 wrt r?\nAnswer: 12*n**2 + 366*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-9)\/(-11) - 193618\/2882. Let m = u - 69. Is m less than or equal to -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 359927188 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3\/3 - 2*n**2 + 2*n + 108. Let o = 50 + -21. Suppose -31*j - 10 = -o*j. Determine v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 3 - 2*h + 14*h**3 - 14 - 3*h**4 + 3*h + 12 to x*h**2 + d + l*h**3 + m*h**4 + f*h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 3. Give u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 25 = -3*b + 3*g, 0 = 2*b - g - 15. Suppose 200 = 5*m + b*z, -4*m + z + z + 130 = 0. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004965 rounded to 6 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 660049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**3*m**3*s + 4*d**3*m**3 + 5*d**3*m*s + 4*d**2*m**3*s - d**2*m**3 - 9*m*s wrt d.\nAnswer: -60*m**3*s + 24*m**3 + 30*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let b = 2 - n. Let q be b\/((-6)\/4) + 2. Solve u = -i + q, 2*i + u - 4 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104\/129 - 6\/43. What is the third biggest value in -3, b, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 276 - 60. Suppose 244 = 7*m + 3*p, -5*m + 37*p - 33*p = -162. What is the remainder when c is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 9*x - 1. Let r(y) = -1419*y**2 - 18*y - 1287. Let w(q) = r(q) + 2*u(q). What is the first derivative of w(o) wrt o?\nAnswer: -2834*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k. Let b be (-4 - (-8 - -3)) + -5. Let a(z) = 2*z. Calculate b*i(f) + 5*a(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 + 4)*(-7*r + 27*r - 3*r + (-5 + 6 - 3)*(-r + 2 - 2)) in the form n*r + f and give n.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31718.\nAnswer: 2, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 5. Let m be -1 - (f + 3\/(-3)). Solve z - 2*o - 1 = 0, 0 = 3*z + 2*o + m - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 362836739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02978870828 - -0.1.\nAnswer: 0.12978870828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -4 - (-20 - 0). Let z(i) be the third derivative of 5*i**4\/24 - 9*i**3\/2 + 8*i**2 - 4*i. Let x be z(6). Solve x*p + 3 = w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*f + 3 - 3*f - 10*f.\nAnswer: -15*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eau when three letters picked without replacement from uaaawaeeawuu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8139.732 milligrams?\nAnswer: 0.000008139732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3251811798, -3251811788, -3251811764, -3251811720, -3251811650, -3251811548, -3251811408?\n\"Answer: b**3 + b**2 - 3251811800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949 = -868*x + 510*x + 431*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462448 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19460*j**2*l + 532*j**2 + j*l - 29967801*l wrt j.\nAnswer: -38920*j*l + 1064*j + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/24 - 26805\/48*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51 - -1)\/(-2 - 72\/(-39)). What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24463 + 6521?\nAnswer: -14642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1\/2 - 87\/116).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 179. Let z be (-24)\/10 - (-28)\/m. What is the biggest value in z, -1\/5, -3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083092288 rounded to 5 decimal places?\nAnswer: -0.08309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m - 2. Let y be o(12). Let g(b) = -y + b + 154. What is g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/5, 0 in decreasing order.\nAnswer: 2\/9, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 514\/30739?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -84*y**2 - 452*y - 601. Let o be r(-3). Suppose -k + 6 = 2, 3*u + 5 = 5*k. Put u, o, 4, -25 in decreasing order.\nAnswer: u, 4, o, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjxjjjjr. Give prob of picking 2 r and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 2\/15 + 2*(-534)\/(-90).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -78*a**2 + 11*a. Let u(r) = 2*r - 7. Let p be u(6). Suppose -v = -2*y - p + 25, 5*y - v - 56 = 0. Let s be m(y). Round s to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - 7*y**2 - 10*y - 8. Calculate i(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**39*u**(-10)\/((u\/u**24)\/u) assuming u is positive.\nAnswer: u**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43489 + -2.\nAnswer: -2.43489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gln when three letters picked without replacement from aaaaangaalanl?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 1, r: 2, g: 9, y: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t - 235 - 404 = -247 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.5, -59250\/37, 3?\nAnswer: -59250\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and 54653929.\nAnswer: 54653941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17390.34ml?\nAnswer: 17.39034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 2. Let c(z) = 2*z + 3. Let n be c(-5). Calculate w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 42, -5 in descending order.\nAnswer: 42, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let v(u) be the third derivative of u**4\/12 - u**3\/3 + u**2 - 37. Give v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*x + 4*n - 9*n, x + 5 = -2*n. Suppose c + 4 = 3*c. Let i = c + 18. Solve -2*s - i = 2*s - x*l, -2*s - 2*l = 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/22, 0.2, -0.032, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2. Let z(q) = -289*q + 119. Let l(w) = -12*w + 5. Let d(a) = -119*l(a) + 5*z(a). What is d(f(t))?\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 65*a + 1541. Let g(z) = -z**2 - 17*z + 33. Calculate g(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/142 and 73\/64?\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6263.364*-4.\nAnswer: 25053.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 9*m - 30728 + 31600, -w - 3*m = 290 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 8*t**2 - 2*t + 19. Let m be n(8). Calculate the smallest common multiple of m*(7 + (9 - 15)) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)\/(c\/(c**6*c)*c))\/(c**8\/c*c*c**(-2)*c)*((c\/c**1)**3)**(-1\/27) assuming c is positive.\nAnswer: c**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*f + 3*f - 51 = 0, 4*r - 5*f - 67 = 0. Let t = 75 + 103. Calculate the remainder when t is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 971*y - 502. Let p(f) = -326*f + 167. Let q(k) = 6*m(k) + 21*p(k). Differentiate q(w) wrt w.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48346 = -4*a - 5*n + 58723, -a - n + 26765 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1385091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.3008 - 11.30152. Let w = a - 8. Round w to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*d - 8. Suppose -3*z + 2*z + 7 = 2*o, 4*z = -o + 14. Find the third derivative of -6*j**o - d*j**3 + 5*j**3 + j**3 + 2*j**3 wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1786*d + 2 - 1468*d - 4 to the form a*d + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 + 2. Suppose -7 = 2*m - 17. Let h be j(m). Find the third derivative of z**3 - 23*z**3 - 56*z**2 + 41*z**h wrt z.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*a - 9 + 17.\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.398 - -0.298. What is the biggest value in 24, d, -0.4, -0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 23*v + 78. Let j be z(-19). Is 9 a factor of j*(-6)\/(-24) - 969\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33085, 132306, 297671, 529186, 826857, 1190690?\nAnswer: 1620691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108593, -434380, -977363, -1737542, -2714917, -3909488, -5321255?\nAnswer: -6950218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.197 and 11.18.\nAnswer: 2.20246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiuu when four letters picked without replacement from {a: 1, g: 2, u: 7, i: 9}.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -164*i**3 - i**2 - i + 1. Let j be y(1). Let o = j + 250. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -4*u + 360. Let l = u + 63. Calculate the least common multiple of 27 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = 2*p + 9, 3*p - 3*h = 9. Suppose -2674 = -p*u - 2*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (-320)\/144?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776165649 to the power of 1\/2, to the nearest integer?\nAnswer: 42145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**4 + 4*x**3 + x**2 + 2. Let o(i) = 48*i**4 - 66*i**3 - 15*i**2 - 33. Let k(l) = -33*j(l) - 2*o(l). Factor k(n).\nAnswer: 3*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8640 divided by -3145\nAnswer: 1728\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - ((13 - 8 - 19) + (2 - -10))) + -86.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 106991.8l?\nAnswer: 106991800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3358*b = 3353*b + 154, g - 4*b = -132 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k + 3*q + q, -4*q - 14 = -3*k. Let v be ((-28335)\/60)\/(k\/(-8)). Let r = -606 + v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 111436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.96 + 0.04. Let u = -0.05 - 0.07. Let v = u + 0.02. Which is bigger: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.024, 1\/5, -0.4?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 21*p. Suppose 3*h - 15 - 18 = 0. Let s(u) = -4*u. Let x(k) = h*s(k) - 2*m(k). Factor x(z).\nAnswer: -2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 171633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4200)\/465 - (130\/(-10) + 4)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-171)\/63 - 2\/7. Let j be (66\/(-9) - -4)*z\/2. Solve -3*o = -j*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(15)\/(sqrt(432)*-2) - ((sqrt(10)\/sqrt(2))**2*-1 - -6*sqrt(320)).\nAnswer: -1153*sqrt(5)\/24 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n**(4\/3))**16*n**0*n*n*n**(-2\/15)\/n*(n**0)**3 assuming n is positive.\nAnswer: n**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-1 - (3 + -5)). Suppose s*y - 5*u - 24 = 0, 2*y = -0*y - 5*u - 9. Suppose y*k - 12 = -15. Put 5, k, -3 in decreasing order.\nAnswer: 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3, -21, -17 in decreasing order.\nAnswer: 3, -3, -4, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1802, -1788, -1758, -1706, -1626?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 + 149778*c**2 + 64875492*c + 7055888280 = 0.\nAnswer: -49490, -218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 493392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 8:57 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 - 946*a\/13 - 944\/13.\nAnswer: -2*(a + 1)*(a + 472)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d - 8. Let g(k) = -5*k + 3. Suppose -q + 58 - 66 = 0. Give q*g(j) - 3*z(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 4, e: 2, o: 1, h: 1, y: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-4*(-4)\/((-52928)\/(-12)). Let f = b + 50327\/33080. What is the common denominator of -61\/8 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182950843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 312178180.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46437.\nAnswer: 3, 23, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 792\/672 - (-5)\/(-4).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 5. Suppose 0 = i - k - 3. Let g(m) = -2*m**2 + 16*m + 18. Let a be g(9). Solve a*u = -i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q**4 + 41*q**4 - 90*q**4 + (-4*q**2 + 7*q**2 + 15*q**2)*(3*q - 3*q + 3*q**2) in the form a*q**3 + x*q**2 + i*q**4 + k + c*q and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1782 and 11016?\nAnswer: 121176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/3*30\/40. Let l(i) = -i**3 + 21*i**2 + 2*i - 16. Let g be l(21). Solve 2*q + f*h + g - 2 = 0, -2*h - 6 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 - -206. Let f = i - 349. What is the closest to f in 1.1, -3, -2\/5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1655*r**2 + r + 2829. Let p(s) = -3*s**3 + 6*s**2 - s + 1. Let q(v) = -n(v) - p(v). Find the first derivative of q(k) wrt k.\nAnswer: 9*k**2 - 3322*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30955)\/(-1359) + (-4)\/18*-1. Let w(n) = n**3 - 17*n**2 - 5*n - 32. Is w(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-205)\/30 + (-4)\/24. Is 50 a factor of 23851\/119 + 3\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -96. Solve o + 3 = r, 0 = -5*o + 2*r - r - j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 2836951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*x = -x - 57, 0 = -t + 5*x + 20. Let y(c) = -c**2 - 16*c + 17. Let z be y(-14). What is the greatest common factor of z and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 41?\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-2)\/(-3))\/(16\/3984). Let x = 88 + f. Suppose 45 = -4*m - x*m. Let n(j) = -j. Let r(k) = 8*k - 1. Give m*n(h) - r(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 4*z - 2*j - 15, -4*z + 7*j - 55 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3635 - 7) + 3)*(-2)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from lmlmmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102933349 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4 + 5. Calculate the highest common factor of 33 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 752 + 83*a**2 - 374 - 379 to the form m*a + i + v*a**2 and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**8)*q*q**(1\/7))\/(q**(-2))**(2\/49))\/((q*q\/q**(6\/5))\/q**(-1\/4)*(q\/q**2)**(1\/21)) assuming q is positive.\nAnswer: q**(24173\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 542 divided by -2.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31349\/1548 + 1\/774. Let j = 5245\/379 - -1528795\/15918. Let f = -353\/3 + j. Find the common denominator of f and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (25 - 20) + (-1 - -49) + 13?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 3 - 3)*(-1228 - 3228 + 1707 - 2067 - 4106 + 155) as k + i*t and give i.\nAnswer: 26301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14457697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (-4 - (-8)\/2). What is the highest common divisor of 48 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u + 205*u - 29*u - 30*u - 37*u - 32*u - 42*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a + 49*a + 156 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19\/3 (b) -1025 (c) 1 (d) 437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/67))**35*l**(1\/2)\/l*l\/(l*(l**24\/l*l)\/l) assuming l is positive.\nAnswer: l**(1681\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 - 12207*t**2 - 12278250*t = 0. Calculate t.\nAnswer: -2250, -1819, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*g)*(368 - 368 + 447*g) + (-g - 3*g + 5*g)*(-3*g + 4*g + 0*g) in the form p + u*g**2 + n*g and give u.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16562?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 228998839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*i + 53 + 52 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - y**2 - y. Let i be p(0). Solve i = -4*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 30*z**2 - 32*z + 32. Let d be l(-31). Let n = 67 - d. What is the remainder when 25 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 601, 0.4206.\nAnswer: 1\/3, 0.4206, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnmmnn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:02 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 4*o - 3. Let r be v(3). Suppose -2*j + 84 - 12 = 0. Suppose -8 = 3*p - 5*p, r = -2*y + 2*p + j. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*d - 0*d. Suppose -3*o - 2*l + 58 = o, -d*l = -2*o - 1. Factor -8 - 12*j**2 - 2*j + o*j - 21*j - 9*j + 4*j**3 + 4*j**4.\nAnswer: 4*(j - 2)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2 + 21940*l + 104765.\nAnswer: 4*l + 21940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 33. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*r + 5 + 25, -5*r + 24 = 4*i. Let o be (-6)\/(-33) - i\/33. Solve -5*a = -10 - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2029 + -1861. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90? (a) 1\/22 (b) 2\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 213404 (base 6) to base 16\nAnswer: 44ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 394445 equal to 394443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 11:52 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -24. Let a be 1860\/135 + (-4)\/(-18). Suppose t = 5*k - a. Solve 0 = 4*z + 14 + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((6 - 14) + 9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose -2*n = -t*n + 6. Solve 3*x + 2*z - 23 = 0, -5 + 0 = n*x - 5*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20869 + 2752?\nAnswer: 2751.79131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (130\/351)\/((-616)\/2079)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**4 - 1811*n**3 - 40*n**2 + 3250*n + 576 wrt n?\nAnswer: 60*n**2 - 10866*n - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Let n(z) = -303*z - 43. Give n(s(f)).\nAnswer: 606*f**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07798 - 0.04519. Round d to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 3*r. Let b(a) = 3*a**2 + 6*a. Let z(f) = b(f) + 2*m(f). Let g(l) = 18*l - 2. Determine g(z(q)).\nAnswer: 18*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (17 - 4) + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13))**2 + 3 + -4 + (sqrt(637) + sqrt(637) + -1 + -5 - sqrt(637)).\nAnswer: sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) + 1 - 53\/(-4)*(-86900)\/209350?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 2:46 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 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 -292 = -j - 184. Calculate the greatest common divisor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 17, y: 3}. What is prob of picking 3 n?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419 + -419.5. Put 2, c, 71 in decreasing order.\nAnswer: 71, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16140.26 years in millennia?\nAnswer: 16.14026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by -2907.\nAnswer: 218\/2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19184.8 meters in kilometers?\nAnswer: 19.1848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-6 - 60\/(-28)))*3. Let z = -0.0117 - -0.5117. Suppose -3*t = -2*t + 4. What is the second smallest value in 16, t, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -5*(57*8\/120 - 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - 3 + 3 + (6966 - 12619 + 6928 + 2*a)*(a - 2*a - a).\nAnswer: -7*a**2 - 2550*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2919*o - 2924*o = -23*v - 160, -19*v = -3*o - 20*v + 22 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spps. What is prob of picking 1 s and 1 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-63)\/(-70))*48\/120?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107*f**3*q**3 + 78*f**3*q**2 - 2*f**3 - 74*f - 24 wrt q?\nAnswer: 321*f**3*q**2 + 156*f**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.111585 tonnes?\nAnswer: 9111585000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g + 3*g - g + 5*g. Let f(u) be the second derivative of 11*u**3\/6 - u. Give b(f(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -116\/5 in 1\/3, 15, -2\/17, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h\/(h*h\/h**(-2))*h))*h)**(-1\/13))**4*(((h*((h**2*h)\/h*h)\/h*h*h)\/h)**21)**(-2) assuming h is positive.\nAnswer: h**(-2176\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 15 - 11*f + 10.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 k when three letters picked without replacement from {k: 9, r: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 240?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -14*g + 12*g - 20, -3*g = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 10836?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -339 + 220. Let a = -46 - i. Let m = a + -72.9999988. What is m rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**3\/3 - b**2\/2 - b - 74. Let m(t) be the third derivative of -t**5\/60 - t**4\/12 - t**3\/6 + 3*t**2. Calculate -m(p) + n(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/48)\/((9\/(-12))\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + 265?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (-54 - -58)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(8\/(-16)). Is -838*l\/(-6)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -26. Suppose -5*o + 98 - 8 = s. Let p = -2 + o. What is the greatest common factor of p and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 19. Suppose -o = -0*o + 5*i - 12, 5*o = 5*i. Suppose 0*m - o*m + 10 = 0. Calculate the remainder when m is divided by z(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 0.019?\nAnswer: 44.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**5\/20 + l**4\/2 + l**3\/3 + l**2 + l. What are the prime factors of a(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 + s. Let j(g) = 2*g**3 - 5*g**2 - 4*g + 3. Give j(d) + 4*p(d).\nAnswer: -2*d**3 - d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 37. Let k(z) = z**3 - 12*z**2 - z + 17. Let d be k(m). Suppose 0 = d*o + 12 - 57. What is the greatest common divisor of 45 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -221*f + 216*f. Calculate the lowest common multiple of f and 1651.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 164*u - 1727. Calculate p(-11).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*2*-2. Let u be 1 + 0 + (4 - f). Solve 0 = 4*q - q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -599.1462673 to zero decimal places.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 3 + 143)*(0*m + 0*m - m) to the form p*m + i and give p.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = -0*m - q, -4*m = q - 4. Let j be (-2)\/(-13) + (-6)\/39. Solve j = 2*l + 5 + m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 112.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 45568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 22*w + 4*f - 28628, 0 = 3*w + 3*f - 42942. Suppose -p = 16*p - w. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -869220, -1738434, -2607648, -3476862, -4346076, -5215290?\n\"Answer: -869214*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*s - 2*s**2 + 157*s - 48*s - 53*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 705 + -587. What is the remainder when t is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 9326 - 9326 - 48*r - 4*r + 5*r**2 - 3*r**2.\nAnswer: 2*r**2 - 52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(28)*-2*2 - sqrt(28) - -4*(sqrt(84)\/sqrt(3) + sqrt(28))))\/((1*3*sqrt(32))\/sqrt(8)*6).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*c = 201*c - 1157 + 1215 + 2202 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 670*y + 81 + 139 - 671*y in the form a*y + z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 4:08 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*2\/(-63)*6\/(-4). Determine x, given that 0*x**2 + 0 - p*x**3 + 0*x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.8829 years in millennia?\nAnswer: 0.2008829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 7*h + 8. Let d be 21717\/(-8910) + h\/(-30). Let c = d + 26\/9. Calculate the common denominator of c and 125\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 980.92*0.5\nAnswer: 490.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3080 divided by -40\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.1. Let x = -159 - -157. What is the closest to -3\/2 in 1\/3, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-4 + -11)) + (-2 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55124, -110247, -165370, -220493, -275616?\nAnswer: -330739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**2 + 9. Let j = 30 + -66. Let i(b) = -b**2 + 1. Let r(f) = j*i(f) + 4*q(f). Let l(g) = 2*g - 3*g - g. Give l(r(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003331209 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 5*t**2 + 3*t + 6. Let j be p(4). Suppose -4*w = j*i - 6 - 0, -4*i = 5*w - 12. Let s(k) be the first derivative of -k**2\/2 - 1. Determine s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 308, 365, 312, 113?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -3, -13, -27?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 992\/9. Let s = -1204 - -1203. What is the closest to -0.1 in s, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10*18\/(-270)*300\/9.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*4\/12*4. Put -1, 4, y in decreasing order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/15 + 66\/10. Suppose 0 = -10*s - 190*s + 1 - 1. Solve s = r*p - 1 - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -10. Let w = k + -28. Which is the third biggest value? (a) w (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 8*k**3 + 83*k**3.\nAnswer: 73*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 529788 and 397341.\nAnswer: 1589364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*s - 20 = -96*s. Solve -s*m - 4*f = 0, -3*m - 5*f + 0 = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2963 - 315.1037. Let n = 315 + x. What is the nearest to 1 in 0.09, 2\/3, n, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-70)\/(-91))*(-2)\/(-2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121*j**3 - 3*j**2 - 15 - 10 - 39*j**3 + 3*j**2 wrt j?\nAnswer: 246*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 2 + ((-424664)\/(-42))\/(-4). Let d = n + 2530. What is the common denominator of d and -71\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187582 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*h**3 + 5*a**2*h**2 + 2*a**2 - 2*a*h + 2*h**3 - 5*h wrt h?\nAnswer: -12*a**2*h + 10*a**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**2*g**4*o - 27*b**2*g**2*o - 94*b**2*g*o**3 + 8054*b*g**4*o**3 wrt g.\nAnswer: 72*b**2*g*o + 193296*b*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 63 = -3*n. Let s be n\/(-6) + (-1 - -4). Let w be 2 - (-3 - 26\/(-4)). What is the nearest to w in 2, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-8))\/((-3)\/(-36)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3))**(-15\/2) assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 + 26*i + 6. Let a(n) be the second derivative of n**4\/4 - 3*n**3\/2 - n**2 + 523*n. Calculate -17*a(o) - 6*f(o).\nAnswer: -3*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -2473, -5529, -9755, -15121, -21597?\nAnswer: -29153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.817697ng in milligrams?\nAnswer: 0.000000817697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -406 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1034506 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 2}. Give prob of picking 2 t and 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 18*g**2 + 21*g - 33. Let q be d(19). Suppose -4*y + q*n + 866 = 4*n, -2*y = -n - 432. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*f**6 + 2*f + 210 - f**3 + 572*f**6 + f**3 + 6*f**3 + 281*f**2 - 202 wrt f.\nAnswer: 45840*f**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**5*v*v)*v*v*v*v\/v**(2\/11)*(v*v**(-2))\/v*v\/((v*v**1)\/v*v))\/((v\/(v\/v**(-1\/8)))\/(v*v*v*(v\/((v**(-2)\/v)\/v*v*v))\/v))**36 assuming v is positive.\nAnswer: v**(3945\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 901612 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*j - 178, -5*i - 143 = -j - 50. Let v = 130 - j. Let h be -1*(-2 - v\/(-22)). Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -1145, -1913, -2649, -3347, -4001, -4605, -5153?\nAnswer: -5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**3 + 8*d**2 - 8*d - 1. Let s(v) = -3 - 1 - 5*v**2 + 0 + 7 - 9*v**3 + 5*v - 2. Calculate 8*s(n) + 5*u(n).\nAnswer: -2*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.24115 minutes to days.\nAnswer: 0.4036396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 3. Let t be o(1). Is -4 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3, 3*s - u - 5 - 7 = 0. Let a be 0 + 1 + 5\/s. Suppose -a*t = -5*t + 168. What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1657 = -3*g, -2*t + 5*t - 1108 = -2*g. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44297036, 44297062, 44297088, 44297114, 44297140, 44297166?\nAnswer: 44297192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2620*d + 4*d**2 - 2347*d - 65*d - 8*d**2 - 169958 - 1412606 = 0.\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34323333 (base 6) in base 16?\nAnswer: 1011c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 95*u**3 + 196*u**2 + 45*u + 72. What is b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 36. Suppose y*l - 4*l = 200000. What is l rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 469027131, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 467, 468, 469?\n\"Answer: n + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30176034900 rounded to the nearest 1000000?\nAnswer: -30176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-685)\/822)\/(34\/24 - 1\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 192*r + 188*r + 24, -5*x + r - 14 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 1. Let c(t) = -5*t + 51. Let f be c(10). Let b = 67 + -72. Let q(o) = o**2 + 2*o + 5. Determine b*j(l) + f*q(l).\nAnswer: -4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-21)*0\/25. Let u(p) be the third derivative of -1\/20*p**5 + 0*p + h + 0*p**4 + 0*p**3 - 4*p**2. Let i(s) = 20*s. Give u(i(r)).\nAnswer: -1200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3831, -7134, -9859, -12012, -13599, -14626, -15099, -15024?\nAnswer: -14407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12))\/((-1)\/(-4)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 5*f. Suppose 0 = h - f*h + 16. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 3*f**2 - 3*f + 1. Let l = -17 - -24. Suppose -4*j = j + 3*i - 9, 5*j = -4*i + l. Determine y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5083*x + 5126*x = 1161 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -778, 18, -4, -5 in descending order.\nAnswer: 18, 1, -4, -5, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 148567.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -o - 4*w + 696, 4*w + 2084 = 2*o. Calculate the lowest common multiple of 104 and o.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46149 is divided by 14304?\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 46*r - 48*r = 7, -3*r - 9 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9717 a factor of 3119357075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 11*o. Suppose o = 3*l, l - 36 = -3*b + 4*l. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -37*j**2 - 845*j + 89. Determine d(-22).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -898, -1797, -2696, -3595?\nAnswer: -4494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {e: 5, h: 3, t: 2, c: 7, i: 1, k: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyyyqyycrrrqcc. What is prob of sequence qy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 37*p - 78 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k. Let y(m) = -m**2 - m + 1. Let f(q) = -4*q**2 - 6*q + 31. Let b(n) = -f(n) + 6*y(n). Let v(g) be the first derivative of b(g). Calculate s(v(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*v + 11, -2*j = -2*v - 7*j + 11. Determine o, given that -o**5 - 4*o**4 + 3*o**5 + o**3 + o**v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1651, 3300, 4949, 6598?\n\"Answer: 1649*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 9*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -230 - -236. Let a be (12\/(-2) + k)\/(-2). Which is smaller: a or -1\/465?\nAnswer: -1\/465","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3386*x**3 - 36497*x wrt x.\nAnswer: -20316*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwhnhhnnblhhbhlbbh. Give prob of picking 1 l, 2 b, and 1 n.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10120002221 (base 3) to base 8\nAnswer: -210657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 405*z + 341. Let g be w(0). Solve g*a - 350*a = 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*t - 122 - 2121, 5*k - 2800 = -5*t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r - 11. Let j(y) = 7*y - 10. Let h(i) = i**3 - 3*i**2 - 6*i. Let o be h(-3). Let n be 104\/(-18) - (1 + 28\/o). What is n*k(c) + 7*j(c)?\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 1258*r**2 + 1254*r**2 + 2 + 3. Let b(x) = -11*x**2 + 14*x + 16. What is 3*b(f) - 8*w(f)?\nAnswer: -f**2 + 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 3}. Give prob of picking 1 s and 2 q.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-8 + -5 + 4 + 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1233468938?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8015712*o**3 + 6*o**2 + 227115504.\nAnswer: 24047136*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1040+-30.460545\nAnswer: -1070.460545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1211 - 12?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -982206, -982194, -982170, -982128, -982062, -981966, -981834?\nAnswer: -981660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 5. Let s be c(-4). Suppose -4*l = v + 3*v - 8, -v = -2*l - 11. Suppose 108 = s*f - 4*t + t, -v*f + 195 = -2*t. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4806399 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.413 (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 102*v - 5304. Give f(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k - 35*k - 1845 = 0. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/60 and 54\/13.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - (-24)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 20\/6 + 35\/(-15). Let f be (4 - 22)*r\/4. Solve -3*x - f = -5*b - 4, 0 = 2*x - b + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 17, 1.\nAnswer: -5, 1, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 1. Let x(p) = 3 + z*p - 1 + 2 - 10*p. Suppose 0 = 2*k + 3 - 9. Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*t - 2*z, -6*z = -z + 10. Let w = t + 12. Solve -4*a + a - 6 = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -122*i + 74. Let r(u) = -9*u**2 - 8*u - 4. Let m be r(-1). What are the prime factors of n(m)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2 + 4433*f - 268*f**3 - 96334 + 96334 wrt f.\nAnswer: -1608*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 4*w**2 + 3 - 2*w**3 + 4*w**2 - 6*w**2 to i + a*w**2 + k*w**3 + o*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:32 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 2, -3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.4 and -35065228353?\nAnswer: 35065228346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*((-7*t**2 + 4*t**2 + t**2)*(2*t - 2 + 2) + 3*t**3 + 3*t**3 + 5*t**3) as h + y*t**3 + z*t + b*t**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, -1, 6, -3 in descending order.\nAnswer: 28, 6, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107047971 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2118*o*u + 8003*o - 2*u wrt u?\nAnswer: 2118*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 8)\/((-4)\/(-6)). Let f be (2\/(-3))\/(b\/18). Suppose 4*a - f*a - 62 = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = -c. Differentiate c*w + 26*w - 11 - 11*w with respect to w.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(133)*3 - sqrt(133))*1)\/(-1*sqrt(448)))**2.\nAnswer: sqrt(19)\/2 + 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1782 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2885*v**2 + 155*v - 2822. What is the derivative of q(h) wrt h?\nAnswer: 5770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*w + 68, -21 = -42060*j + 42059*j + 5*w for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*u = -215*u + 427*u - 13933. Does 100 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -112, -10, 0, 3, 52 in increasing order.\nAnswer: -112, -10, -3, 0, 2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-30)*11214\/4984*(-15)\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from wbzvbsz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c44 (base 16) to base 10.\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -5.3 (c) 11899\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.7045 nanometers in millimeters?\nAnswer: 0.0000307045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**2 - 4*f**2)*(-2*f + f - 2*f)*(-7*f - 50 - 122*f**2 - 77*f**2 + 197*f**2).\nAnswer: -12*f**5 - 42*f**4 - 300*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y + 16*y + 16*y + 24*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1585? (a) 2\/13 (b) -2\/13 (c) 0.8 (d) 10 (e) -2\/5 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*d + 12, -2*d + 14 = -5*m + 44. List the prime factors of m\/15 + (-108)\/(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553340 is divided by 1667?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.3. Let i = 9 + -9.07. Sort z, i, 0.4.\nAnswer: z, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.33 + 4.33. Which is the third smallest value? (a) 2 (b) n (c) 4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5622242406 - 1?\nAnswer: 5622242405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-1)*h)\/h))\/h**(1\/3)*(h**(-1\/2)\/h*h)\/h**(-4)*(((h**(2\/7)*h)\/h)\/h*h)**6\/((h*h**(-2\/19)\/h)\/(h*h**(-4))) assuming h is positive.\nAnswer: h**(3181\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 9}. Give prob of picking 4 g.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 - 1404*m**3 - 1424*m**2 + 5616*m + 5632 = 0. Calculate m.\nAnswer: -2, -1, 2, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23981239 is divided by 3996871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2522956, -5046040, -7569124?\n\"Answer: -2523084*u + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -5191?\nAnswer: -363.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4\/9)\/(532\/(-2926) + 293\/1914)?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35301101 (base 6) to base 14.\nAnswer: -207937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004306 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r\/r**11*r)\/(r**7*r))**7 assuming r is positive.\nAnswer: r**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -84*f - 458. What is p(-4)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x - 8. Suppose 3*q - 17 = -2*w, -4*w + 7*q - 4*q = -25. Calculate i(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1729844029 and 2468.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 576 divided by 4\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 13. Suppose -4*m - o = 3, -3*m - 4*o + 6*o = -6. Solve m = 4*c + 4, s = -3*q + 2*c - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.4181681 - 1.214\nAnswer: -18.6321681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10652 and 22.\nAnswer: 117172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**3 - 4*k + 5. Let t(b) = -b**3 - b - 1. Let g(v) = 4*t(v) - z(v). Differentiate g(a) wrt a.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.5 - 47. Let h = 53 - 41. Let w = h + i. What is the third biggest value in 0.5, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16742 * -0.2\nAnswer: -3348.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/(-15) - (-1656)\/230. Let m = 12 + -2. Sort -3, x, 2, m in ascending order.\nAnswer: -3, 2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -33. Let w be (177\/12)\/((-1 + 2)\/(-4)). What is the common denominator of r and w*(13\/(-39) - 13\/(-30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000101111110101001000 (base 2) to base 8\nAnswer: -10576510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11111111111110010000?\nAnswer: 11111111111110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*(247\/(-286))\/(-19)*-6?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 17 - 28)*(0*j - j - 2*j) in the form a*j + z and give a.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.036999154 + -0.037. What is h rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(110)\/(sqrt(45) + sqrt(5)))\/(sqrt(2) + sqrt(22)\/sqrt(99)))*4.\nAnswer: -4 + 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21703*i**2 + 7*i - 427*i**3 + 21703*i**2.\nAnswer: -427*i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let x(r) = -17*r**3 + 5*r**2 - 11*r + 7. Let k(f) = -9*f**3 + 2*f**2 - 6*f + 4. Let h(z) = 7*k(z) - 4*x(z). Is h(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i + 6. Suppose -2*o + 23 = 3*a, -6*a = -a - 25. Let m be d(o). Solve -3*g - 5 - m = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 835 - 1343. Let o = -386 - q. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 96*f**2 + 10*f + 6*f + 4 - 22*f. Let l be v(8). What is l rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15.39 (b) 1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4461.3302 to the nearest integer.\nAnswer: -4461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -3*u**6\/2 - 18*u**5\/5 - 11*u**3 + 3*u**2 - 485. Find the third derivative of g(v) wrt v.\nAnswer: -540*v**2 - 432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3430 (b) 2\/3 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:19 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000259515413 rounded to seven decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 14. Suppose -11 = p*y - 26. Solve -k = 0, y*k + 20 = -5*m + 2*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q**3 - 4*q**2 - 1\/4*q**4 + 9*q + 33. Let a be d(-5). Calculate the greatest common factor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 11:39 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -677.1 - -674.1. What is the closest to 0.1 in -2, -0.4, -7, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from rqmsz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.753 + -0.0147484.\nAnswer: -0.7677484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 5, 1\/5, -4568, -1\/7, 4\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -44. Which is bigger: 5\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -279.47507 - -4.58807. Let r = 3096 + -2821. Let h = k + r. What is h rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w**2 - 5*w - 15. Let g(c) = -63*c**2 + 21*c + 61. Let h(s) = 2*g(s) + 9*k(s). Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-4)\/(-18)*-3. Let j(v) = -2*v**3 + 3*v**2 + 6*v + 7. Let o(c) = c**3 - 2*c**2 - 3*c - 4. Let f(n) = 3*j(n) + 5*o(n). Calculate f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/(102\/119).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 121. Determine o(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/569 and -83\/4.\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -230, -1561, -5104, -11963, -23242, -40045, -63476?\n\"Answer: -184*j**3 - 2*j**2 - 37*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*(-5)\/((-15)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14b10 (base 12) to base 8\nAnswer: 71074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 5*k**3\/6 + k. Let x(l) be the first derivative of l**2\/2 - 11. What is q(x(n))?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 30 = -l. Suppose l = 3*d - 0*d. Solve -4*a = d*q, -3*a - 3*q = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1935847, -1935842, -1935835, -1935826, -1935815, -1935802?\n\"Answer: g**2 + 2*g - 1935850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/30 - 7*q**3\/6 - 51*q**2 - 3. Let t(b) = -b**3 + 1. What is -2*g(r) - 14*t(r)?\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 258531 (base 9) in base 16?\nAnswer: 265f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6)\/((-1)\/3). Solve -k - 4*k + 3 = 3*q, -4*q - 1 = d*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4868 - 8900. Let t = -1040 - d. Suppose -10*o - 332 = -t. List the prime factors of o.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 1158?\nAnswer: 1158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 - 131*j - 18. Calculate y(19).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 149 = 49. What is the remainder when 117 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264+978507.9\nAnswer: 978771.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -412 + 419. Let y be 2\/7*(u + -8 + 15). Solve -y*b - 1 = q - 2*q, b + 4*q - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42\/19 in 2, 4.6, -10\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2776772 and 81\/944.\nAnswer: 655318192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose 0 = -5*k + j*a - 9, 5*a - 4 = 5*k + 11. Suppose k*i + i - 9 = 0. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-8) - 2949\/(-6) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 18. Suppose -1 + 2 = j + i, b = 5*j + 3*i. Calculate the lowest common multiple of -28*j*4\/(-32) and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 - 3\/2. Let x(c) = c - 4. Let g be x(6). Suppose q - g = -l*q. Solve q*j - 3*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000001011000011000 + 10?\nAnswer: -1111000001011000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16393, -16405, -16463, -16591, -16813, -17153?\n\"Answer: -4*j**3 + j**2 + 13*j - 16403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185900373?\nAnswer: 7, 887, 190997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 6) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 10*z**2 + 19*z - 22. Let j be v(8). Suppose j*w + 28*w - 90 = 0. Solve k + 3*c + w = 0, 7*c - 2*c = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 12, 63 in increasing order.\nAnswer: -119, 12, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*i*j*u + 3*i*j - 18*i*u - 91741*j*u wrt i.\nAnswer: 27*j*u + 3*j - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, 1\/2, 3, -0.9 in descending order.\nAnswer: 3, 1\/2, -0.9, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2330 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 83*z**4\/6 + 3*z**3\/2 - 14*z**2 - 5*z. Let f be n(6). Suppose -r + f = 3*r - 2*w, 0 = w - 1. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -83?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9889428?\nAnswer: 2, 3, 149, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 175039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Let y(v) be the second derivative of -1\/2*v**2 + 0*v**4 - 1\/15*v**6 + r*v**5 + 0 + 0*v**3 - 2*v. What is the derivative of y(x) wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.0065, -4, 0.2, 4\/3, 0.037, 73?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1, 1, -264 in decreasing order.\nAnswer: 5, 2, 1, -1, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 324*a - 32358. Determine x(104).\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 1, -6\/5, -5666?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-24) + 24\/36 - (146 + (-3907020)\/26832)\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-1)*6)\/(sqrt(36)*5) + ((sqrt(11) + sqrt(121)\/(sqrt(11)*2))**2 + sqrt(44) + -1)*4.\nAnswer: 8*sqrt(11) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -97*p**2 + 43*p. Let t(b) = -b. Let z(o) = q(o) + 2*t(o). What is the second derivative of z(a) wrt a?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6756276*a**3*f**3*m - 3*a**2*f*m - a**2*f - a*f**3*m + 3*f**3*m + 2*f**3 + 5*f*m wrt a?\nAnswer: 40537656*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - -0.12. Let m = -0.07 + -3.93. Suppose -330*i + 334*i = 16. Which is the nearest to i? (a) x (b) -2\/15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/3 + 53597*m\/3 = 0. What is m?\nAnswer: 0, 53597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14440 - -24?\nAnswer: 20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 76*-1 + 0 + 3. Let j = -366\/5 - l. Let f = -3.99 + -0.01. Which is the biggest value? (a) -3 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + 31. Let l(k) = k**3 + 6*k**2 + 2*k - 5. Let a be l(-5). Calculate the highest common divisor of j and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 divided by -2?\nAnswer: 395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 17.31.\nAnswer: 26.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38636 = -244*t - 34732 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.6, 0, 3\/7, -12 in ascending order.\nAnswer: -12, -5, -0.6, 0, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(10\/(40\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5750236129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 376*n**3 - n**4 + 376*n**3 - 3)*(-2 + 2*n + 2).\nAnswer: -2*n**5 + 4*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 609796318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06834878 rounded to four decimal places?\nAnswer: -0.0683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.47 + 27.5. Let k = -689985\/427 + 1616. Let q = -2\/61 - k. What is the closest to -4 in q, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 587803376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002035971127 rounded to 6 decimal places?\nAnswer: -0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 = 32*c - 182 + 463 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 6*n + 10. Let g be b(8). Is 13 a factor of 16\/(-24) - 82\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3. Let w = -4 - -3. Let i be d(w). Let b = 3 + -4. Sort -4, b, i in decreasing order.\nAnswer: b, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -22*f - 324. Give l(-9).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416460 (base 7) to base 3.\nAnswer: 10122122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 9*n**2 - 4*n - 9. Let w(p) = -p**3 - 8*p**2 + 3*p + 8. Let g be ((-3)\/3)\/((-2)\/14). Let d(k) = g*w(k) + 6*t(k). Is 5 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 17. Sort -1, f, 2 in increasing order.\nAnswer: f, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/63)\/(10\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420312123 (base 5) in base 9?\nAnswer: 3224713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 50 - 50 + (3 - 2 - 6)*(-2*c - 1 + 1).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5 + 4698*p**4 - 2452356*p**3 + 426709944*p**2 = 0.\nAnswer: 0, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 + 13 = 0. What is the common denominator of 87\/6 - (2 - q) and 15\/9 + -1 - (-940)\/(-96)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 576.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 718, 1058, 1398, 1738, 2078?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 3. Let i be c(-5). Suppose -4*x + 5*w + 9 = 0, 0*x + i = 4*x - 4*w. Suppose -x + 3 = r. Sort 0, -4, r in descending order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 + 123. Which is the closest to 0? (a) -2\/13 (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*c + 460 = 176*c - 2984 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10286*m + 195430. Determine y(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -325 + 362 + (1 - 7) - -41?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/3))**(-4)*w**(1\/3)*w*w**(1\/8))\/((w**(1\/4)*w)**(22\/3)*(w**(-2\/5))**(-25)) assuming w is positive.\nAnswer: w**(-163\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*v - 1 - 3*v**4 - 142*v - 16*v**4 wrt v.\nAnswer: -228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 + 32 = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -30, -70, -128, -204, -298, -410?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + 5*t)*(0 - 7 + 2 + (2 - 4 + 3)*(2 + 0 - 3)).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1222, -529, 166, 863?\n\"Answer: q**2 + 690*q - 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1 + 2 + 2 - (sqrt(192) + -1*sqrt(192) + 1))*1)**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**3 + 7*r**2 - 7*r - 7. Let g(n) = 8*n**3 - 7*n**2 + 8*n + 7. Let v(f) = 6*g(f) + 7*m(f). Calculate the remainder when v(5) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21*o. Let y(n) = -4*n + 9. Let l(w) = 11*w - 24. Let p(u) = 3*l(u) + 8*y(u). Give p(k(q)).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 6, -5, -1377 in decreasing order.\nAnswer: 6, 4, -5, -9, -1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + m = -43, 4*m + 0*m = r - 1. What is j in -9 - 9*j**2 + 5*j**2 + 2*j**3 + r = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46002 divided by -7667.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54221 - -65560?\nAnswer: 11336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.86 - 8.86. Let s = -1.8 + 1.79. Which is the third smallest value? (a) 2\/5 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)\/(-3*sqrt(80) + sqrt(80)))**2 + (sqrt(133) + (sqrt(133) - -5*(2*sqrt(133) - sqrt(133))))\/(sqrt(63)*6).\nAnswer: 19\/16 + 7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + 11 + -4 + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - 344. Let i = 447.000002028 + o. What is i rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -352?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59569 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 8, 10, 14, 20?\n\"Answer: l**2 - 3*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 12*i + 2. Let v be y(3). Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 3*h**2 + 3*h - 4. Let w be q(3). Suppose 0*o = -7*o + 21. Suppose 5*y = 3*t + 29, 8*y + 2*t = o*y + 14. Solve -w*n = -6 - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665554 (base 7) in base 13?\nAnswer: c460b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -0.3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*n**2*t*u**2 + 76*n**2*t*u + 745*n*t*u**2 + 2*n*t + 2*n*u - 7472*t - 14*u**2 wrt u?\nAnswer: -28*n**2*t + 1490*n*t - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 830 and 30003172?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11595 is divided by 3864.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 4, k: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 781, 2764, 6621, 12976?\nAnswer: 22453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**0)\/(q*(q\/(q\/(q**(-2\/13)*q)))\/q)*q**20*q*q\/(q\/(q*q**9)) assuming q is positive.\nAnswer: q**(418\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 50, 749?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*x**4 - 3)*(-3 + 2 + 3) + 0*x**4 + 4*x**4 - 2*x**4 + 3482*x**2 - 681*x**4 - 3482*x**2 in the form y*x**4 + l*x + i + h*x**3 + c*x**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, 755 in increasing order.\nAnswer: -5, -3, 2, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let i be 1 - (7 - (6 + -7)). Which is the closest to 0.1? (a) o (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/60 and 24\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - (sqrt(198) + -5*(sqrt(198) + sqrt(198) + (sqrt(198)*-2 - sqrt(198))) + sqrt(198)))\/(sqrt(121)\/sqrt(99)))\/(-4*sqrt(150)*-2*-6).\nAnswer: 3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = i + 3, 6 = v - 11*i + 9*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 69. Let q be (-2 - -2) + 24 + 1. Let v be q\/45 - (-2)\/(-6). Which is the closest to 0.1? (a) -0.3 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:48 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 848*t - 2848*t + 564*t + 4 in the form f*t + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1508\/(-39)*21\/(-56)*2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 - 6 = 0. Suppose 4*q - 2 = -2*n, -1 + x = -4*q. Let d = 0.1 + -4.1. What is the second smallest value in 4, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -v - 4. Let w = v - -44. Let o = -1039 + 1228. What is the highest common factor of o and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5. Let q(w) = -w + 4. Let t(y) = 2*q(y) - 3*u(y). Let k be t(-5). Suppose -k*a + 8*a - 95 = 0. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 - 10 = 0. What is the tens digit of 4*3\/m + 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(2\/3))*z)\/z)**(-10)\/((z*(z\/z**(-1))\/z*z)\/z**(4\/9)) assuming z is positive.\nAnswer: z**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*u + 4, 4*q - 1 = 2*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.95 - -57.95. What is the biggest value in w, 0.2, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*x + 6 - 16, -5*x + 2*a - 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 8)*(1 + o - 1) - 3*o + 0*o + 6*o + (-2*o - 1 + 1)*(-5 - 1 + 4) - 5*o + 0*o + 3*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2 - 0. Let x(a) = -a**2 + a + 6. Let y be x(-5). Let t be (-452)\/y - o\/(-6). What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2685*n**5 + 12*n**3 - 2*n**2 - 10*n - 465 wrt n.\nAnswer: 161100*n**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbccccccccbcbgbb. What is prob of picking 2 b and 2 c?\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22633 - -39624. Let g = -32257 + x. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13697, 27212, 40727?\n\"Answer: 13515*n + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 u when four letters picked without replacement from uuttttu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l - 12. Let z be (-700)\/(-200)*2\/7. Sort l, 3, z in descending order.\nAnswer: 3, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 13*m - 77. Let f(q) = 11*q - 1. Let d(r) = 35*r - 3. Let j(u) = m*f(u) + 2*d(u). What is j(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**7)**10*w\/(w**(-27)*w)*w\/w**(-21) assuming w is positive.\nAnswer: w**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 188\/3, 44, -244, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82.3 - 122.2. Let d = k - -205. Sort -0.13, -2\/19, -1, d in descending order.\nAnswer: d, -2\/19, -0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21536 plus 6120164?\nAnswer: 6120163.78464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/(8\/(-4))*-4. Let y = -9 + x. Let d = y - 42. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.386967 kilograms in grams?\nAnswer: 2386.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 4. Let b be -2 + (d - (2 + 0)). Let m be ((-12)\/(-14))\/(1\/7). Solve -a + m = -b*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 590, 1141, 1692, 2243, 2794, 3345?\n\"Answer: 551*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:08 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = -c + 63, 0 = -c - 5*t + 71. Suppose 5*s = -h + 902, 5*s + 4*h - 857 = c. Suppose 9*g - s = 4*g. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 1)*(0 + 4). Suppose 5*v - t = -7*v. Suppose 0 = -3*i + 5*k + 83, -i + 3*k = -v*i + 99. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q**5 - 111909*q**4 - 1006569*q**3 - 1453359*q**2 + 5032710*q + 5591400 = 0. Calculate q.\nAnswer: -37276\/3, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/(468\/(-260))*-21\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d - 55 + 553 + 528 = 0. Calculate the least common multiple of 72 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -20, -1, -4 in decreasing order.\nAnswer: 4, -1, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -13*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m**2 - 519 - 527 + 1046 + 13*m**2 - 8*m**2.\nAnswer: -91*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1177048 by 7.\nAnswer: -1177048\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 695 and 10.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 20, 38, 72, 128?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 12*h**2 - 30*h - 7. Let r(d) = 11*d. What is the smallest common multiple of r(3) and v(8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, 5, 3, -5 in ascending order.\nAnswer: -26, -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -32166 divided by -182\nAnswer: 16083\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + -142 + 149\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17302669 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 1110 and 216302?\nAnswer: 3244530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -1355211344?\nAnswer: 1355211401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14789 rounded to 3 dps?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.746238 millennia in years?\nAnswer: 3746.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.085, 1\/153.\nAnswer: -4, -0.085, 1\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/114 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {h: 2, v: 1, b: 4, t: 2, u: 6}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:44 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -842 - -850. Solve 7*i + h*i = 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -253*u**3 - 183.\nAnswer: -759*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/5)\/(((-126)\/35)\/9). Which is the closest to -3? (a) 2\/7 (b) 1 (c) 3\/4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 72*z - 385. Give s(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*g**3 + 200*g**3 + 229*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {j: 2, m: 9, h: 6, l: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d + 2. Let a(h) = 17*h + 4. Calculate 6*a(b) - 13*w(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 7*g + 1. Let x = 2 + 5. Let p(n) = -n**2 + 2*n. Give x*p(c) - 2*y(c).\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6266*w**5 + 10*w**4 + 32*w**3 + 15230034*w**2 wrt w.\nAnswer: -375960*w**2 + 240*w + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88752.15 millilitres in litres?\nAnswer: 88.75215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -231420302 (base 6) to base 7\nAnswer: -51242453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 + 2*s + 2. Let z be n(6). Suppose -z = x - 2*x. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from rrgrgriggr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llk when three letters picked without replacement from ukllukjkkuj?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 14075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c*c*c\/((c\/(c**(-2\/13)\/c*c))\/c))\/(c**(-2))**40)\/(c**5*c**(-6)\/c*(c*c\/c**0*c*c)**(-40)) assuming c is positive.\nAnswer: c**(3261\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4620527 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -140 (b) 5 (c) 0 (d) 6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {q: 3, x: 1, a: 3, h: 2, v: 4, d: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37014403795127\/5322 + 6954980019. Let v = -12\/887 - f. Find the common denominator of v and -3 - -1*19\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 63.3\nAnswer: -569.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 + 9*a + 11. Let d be i(-5). Let m be (-2)\/d - (-34)\/16. What are the prime factors of 16*m*60\/48?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9991*s**2. Let v(j) = -21596*j**2. Determine r(v(o)).\nAnswer: 4659674675056*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2780 and 13900?\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 51*h + 2441. Give r(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 3 + 3 - 13*m. Let u be (-48)\/(-27) + 4\/18. Let x(k) = 2*k - k - k**u - k. What is b(x(a))?\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 120, 220, 350, 504, 676, 860, 1050?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwwwwngkwwwww. Give prob of picking 2 w.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -1aa7a?\nAnswer: -1aa71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -49313334 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18)*(4 - 1) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 3*j - 4*j)*(-3*j - 2*j + 3*j) + 2*j**2 - 10 + 10.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 - 11*o + 2. What is the remainder when 144 is divided by c(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -15.93. Let p = 0.04 - c. Let b = -1.89 + -2.11. What is the second biggest value in -0.3, p, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -752542 + -430?\nAnswer: -753172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j**5)\/j*j)**14)**(-6\/25))**(9\/4) assuming j is positive.\nAnswer: j**(-1323\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 1)*(0*j - j + 0*j) + (0*j - 2*j + j)*(2 - 2 + 2) to the form f + r*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(11) - (-2*sqrt(22)\/sqrt(2) + sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087 times 97212?\nAnswer: 8457.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183*v - 18*v**2 + 47*v**2 + 298 + 104*v + 177*v wrt v.\nAnswer: 58*v + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*-3568*(-500)\/(-24). What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 20, -3*s + 2200006 = b - 0*b. Suppose -3*k + b = -k. Suppose -k = q - 2*t + 5*t, t + 5499999 = -5*q. Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 1.3. What is the second biggest value in 1\/2, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 11. Let r be 52\/12 + f\/(-3). Let v(b) = -b + 3. What is v(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by (2\/6)\/(7\/42).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371569 and 7.\nAnswer: 2600983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 1996 + 1966 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477455104?\nAnswer: 2, 7, 19, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2*s - 4*s + 3*s - 126 + 37 to f*s + t and give t.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 9. Let v be z(-7). Let u(k) be the first derivative of 2*k**2 - 3*k - 2. Let w(o) = -7*o + 5. Calculate v*u(c) - 3*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/(-3)*(-18)\/(-4). List the prime factors of ((-5)\/(-15))\/((-2)\/j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, a: 3}. Give prob of sequence mam.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 397550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.01 take away 673?\nAnswer: -644.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Let y(o) = o**2 - o. Let r(j) be the third derivative of 0*j + 1\/30*j**5 + 1\/6*j**3 - 1\/24*j**4 + 2*j**2 + 0. Give g*r(u) + 3*y(u).\nAnswer: -u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c = 44*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**4\/5 - 9904*l**3\/5 + 3596928*l**2\/5 - 93811712*l + 20807852032\/5 = 0.\nAnswer: 136, 2068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.047, 24, 0.5, 3 in descending order.\nAnswer: 24, 3, 0.5, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -5\/4, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 80292160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.52 - 791.48. Let u = f + 798.9. Which is the third smallest value? (a) u (b) -4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 14 = -62 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 570357 (b) 0.25 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {a: 4, c: 3, s: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1137, -938, -781, -666, -593, -562, -573?\n\"Answer: -21*l**2 + 262*l - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2232.3289738 and 0.077.\nAnswer: -2232.2519738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -g - 2336 + 2330, 2*k + 5*g + 27 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9385378*-4\nAnswer: 37541512","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 1069031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132478 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from {b: 5, s: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222919986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(50) + (sqrt(50) - 2*sqrt(50)*1))\/(sqrt(30)\/(6*(sqrt(3) + sqrt(3)*1))))**2.\nAnswer: 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100111111101110 + 0?\nAnswer: -10110100111111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjpp. What is prob of picking 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10498602 divided by 1083\nAnswer: -9694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*a - 49*a + 51*a)*(3 - 4 + 4*a + 0*a) as h*a**2 + o*a + k and give h.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*c + 3*c + 4, -5*a + 16 = -c. What is the remainder when a is divided by -3 + (-2 - -3) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 4*k + 2*k - 20 - k. Let v(i) = -6*i - 6. Let t be v(-3). Give m(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365501932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*q + 733*q + 1 - 1 - 1850*q.\nAnswer: -1387*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 579513937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 4)*(-1 + 11 - 2) + (2 + 2*a - 2)*(2 - 1 + 8)*(-3 + 0 + 7).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.054 + 4.054. Suppose 3 - 13 = 2*y. What is the nearest to 1\/5 in -0.5, a, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 52*u**2 + 12*u + 111. Let l(t) = -103*t**2 - 21*t - 222. Let j(r) = 4*l(r) + 7*x(r). What is the derivative of j(y) wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o**2 + 20 - 4*o - 2*o - 11*o + 18*o**2. Calculate h(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - (-19 + 26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -861 (base 14) in base 6?\nAnswer: -11353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4\/(-1282))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*j + 1233*j = 5*i - 8, -3*j + 32 = 5*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-24 - 0) + 58) - (-3 - 3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*a**5 + 222*a**5 + 74*a**5 + 4*a**5 - a**5 - 4*a**5 - 3*a**5 - 3*a**5 + 5*a**5 + (5 - a**4 - 5)*(2*a - 3*a + 2*a) + 2*a**2 + a**5 - 2*a**2.\nAnswer: 225*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - 61*i - 20. Let d be o(-20). Suppose c = -5*p + 71 - 18, d = 2*p + 4. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 29103637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -413 + 1375. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 19839814.\nAnswer: 39679628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46946 and 163?\nAnswer: -76.52198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 319013 divided by -1?\nAnswer: -319013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*b + 1666, r - 4*r = -4*b + 3328. Suppose 3*y - 2107 = -b. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123246205*u**3 + 3*u**2 + 54344*u - 39 wrt u.\nAnswer: 739477230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 123557, 494174, 1111855, 1976600, 3088409?\n\"Answer: 123532*q**2 + 21*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*d + 135*d - 6358 = 160*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 73 + -7 + -34 - 11\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8. Is r + (0 - (-25 - -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000568425 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, g: 3}. Give prob of sequence gkg.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4538 = k - 3152. Suppose -2*u - k = -12*u. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37220576439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let k = -443805\/22 + 20177. Calculate the common denominator of ((-249)\/(-8))\/f - -2 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 12*n**2 + 14*n + 16. Let t be i(-13). Suppose 20 = -2*d - t*d. What is the smallest value in -4\/3, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1822 - -4655. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/15)\/((-49)\/245). Let m(c) = c**2 + c. Let p be m(-2). Solve l*f + p*f - 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 83.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 567*t - 1520 - 5851 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -195697, -782759, -1761197, -3131011, -4892201, -7044767, -9588709?\n\"Answer: -195688*x**2 + 2*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Let n(k) = -9*k - 3. Let s(b) = n(b) + 2*v(b). What is the hundreds digit of s(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**2*q**5 - 16*k**2*q**2 + 78*k**2 + 572*k*q**5 - 2*q wrt q.\nAnswer: 480*k**2*q**2 + 34320*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grww when four letters picked without replacement from {u: 3, g: 1, r: 11, w: 4}.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.82 + -15. Let w = -4.82 + o. What is the third smallest value in w, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 1878, 2811, 3750, 4701?\nAnswer: 5670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 146.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 + ((-18)\/(-21))\/(2\/14) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 26. Solve c - 22 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -6 - -4 - (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/4*148\/(-333)*16449.\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(-2)\/2. Let r(l) = -l**3 - 2*l**2 + 70. Let a be r(0). Is (a - 1) + (o - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - j + 2*j)*(2 + 1 - 1) + 0*j + 3*j - 2*j + 608 - 357*j - 608 + (j + 0*j + 0*j)*(0 + 2 - 1) to i + k*j and give k.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**3 - y**2 + 0 + 0*y**4 + 19\/30*y**6 + 22*y + 0*y**5. Differentiate t(u) wrt u.\nAnswer: 76*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (3 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8. Suppose -l + m*l = 50. Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/((-6)\/(-696)). Let g = 118 + f. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-7 - 1) + (-195)\/(-70).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 5314471.1\nAnswer: 53144.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 47*m - 756. Let c be g(17). What is the highest common divisor of 13 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or 181.98?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 273008\nAnswer: 273007.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 0, -72*m - 2*f = -68*m - 6864. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) -426 (b) -83.3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3453 - 2380. List the prime factors of s.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/8 (b) -2\/67 (c) -10\/9 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/1 + 3 + 1. Let o(b) = -6*b - 5. What is the units digit of o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 - -165. Suppose 71609 = 5*p + 3*v + 23486, r*p = 3*v + 48147. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) + 384\/(-768).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 0.084, -2, 0.5?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1) + -35 + -10 + 11. Let j = 32 - v. What is the greatest common divisor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 9*f**5\/2 + 127*f**2\/2 + f - 64. Differentiate l(i) with respect to i.\nAnswer: 270*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -67 + (10 - 112)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let s(u) = -u**3 + 15*u**2 + 12*u + 9. Let g(b) = 3*a(b) - s(b). Let q be g(16). Let -2*v**2 - q*v**2 + 10 + 5*v + v**2 = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Suppose h = 6*h. Suppose 6*g - 8 - 16 = h. Let z(u) = 4 + 4*u - g - 5*u. Give z(k(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/12 and -55\/7328.\nAnswer: 21984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c + 793e7?\nAnswer: 7937a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let u(q) be the second derivative of 23*q + 1\/12*q**4 + 0*q**3 + 0 + 0*q**2. Give o(u(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04195041 to four dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21279614*q**2 - 25764764?\nAnswer: 42559228*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 311921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -139) + (10 - -29) - (-1 - -10)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 6)*(-8 + 2). Let l be (-40)\/12*z\/5. Suppose -y - 5*c - 3 + 6 = 0, 37 = l*y - 5*c. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*(sqrt(152) + sqrt(152) + sqrt(152) + sqrt(152)*1 + sqrt(152) + sqrt(152) + sqrt(152)) - (sqrt(152) + 4*2*sqrt(152)))\/(-3*sqrt(392)*-6))**2.\nAnswer: 4864\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -71, -92, -103, -104, -95?\n\"Answer: 5*q**2 - 46*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310106 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6219 + 6221. Solve 0 = 4*p - o*i - 16, -43*p + 48*p = -3*i - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14 - 0) + -7 - 18) + (-1 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(5*v**4 + 0*v**4 + 7*v**4)*(5 - 52 + 15).\nAnswer: -768*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose -u = 5*a + 638, 0 = -0*u - u + o. Let x = -31 - a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 437996*t + 66046192.\nAnswer: 4*(t - 109348)*(t - 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 7*w. Let a(f) = f**2 - f - 1. Let z(q) = 4*a(q) - s(q). Suppose -5*j + 4*m - 625 = 0, -3*m = -0*m. Let c = j + 121. What is z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 142049*n + 6. Let l(k) = k. Determine l(m(o)).\nAnswer: 142049*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*o + 29 = 9, -4*w + o = -20. Suppose 88 = -u + 3*u + 2*f, 0 = w*u + f - 224. Let d = u + -23. What is the lowest common multiple of d and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/4 - 160*h + 5120.\nAnswer: 5*(h - 64)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 6 + 6)*(0*d + 4*d**2 + 0*d) + 0*d**3 + d**3 + 2*d**3 - 4*d**3 + 3*d**3 - d**3 to the form k*d**2 + x*d**3 + f*d + b and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, and 1 c when three letters picked without replacement from {c: 2, r: 5, h: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 + 4*f**2 - 12*f. Let d(h) = 2*h**3 - 2*h**2 + 5*h. What is 11*d(s) + 6*t(s)?\nAnswer: -2*s**3 + 2*s**2 - 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*h = 20*h + 2921071 + 2347063. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -11\/34 (c) 0 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57083 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = a - 4*d - 19, 3*a + 2*d = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 3978408.\nAnswer: 3978408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44d (base 15) in base 6?\nAnswer: 4301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k + 4*k**2 + 182 - 182 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7005*c - 603707 + 603707. Let b(r) = 2*r. Calculate b(f(d)).\nAnswer: -14010*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161207.\nAnswer: 23, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8335221304?\nAnswer: 2, 2141, 486643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9038 by -13.\nAnswer: 9038\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j*((j**(-1\/2)\/j)\/j)\/j)\/j))**50*(j**(-1\/13)\/j)\/j*j*j*j*j\/(j\/j**0*j) assuming j is positive.\nAnswer: j**(2274\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-2\/7)*w))\/(w\/(w\/(((w**(4\/3)\/w)\/w)\/w))))**(-33\/2))**(-46) assuming w is positive.\nAnswer: w**(10373\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 1 + -4 + 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb - 67b?\nAnswer: -5c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4840 = 9*y + 4822 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175792?\nAnswer: 2, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -872280402 divided by 290760134.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*g**4 - 2\/3*g - 4\/9 + 2\/3*g**2 + 14\/9*g**3.\nAnswer: 2*(g + 1)**3*(3*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63.03 + 63.43. Sort y, 2, 4, -742 in increasing order.\nAnswer: -742, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p**2 - 378*p - 302. Determine q(-62).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/10)\/((-21)\/315))\/(3332\/102 - 34)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2616 and 137\/1962.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 255 = -c. Calculate the remainder when c is divided by (-44)\/14*203\/(-87)*6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001000001111000110 (base 2) to base 6\nAnswer: 15543234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 79 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 654621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7783*-366.\nAnswer: -2848578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/45 - 20\/(-9). Let t be (9\/6)\/(1\/x). Let m be (-26)\/t*(-33)\/2. What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.48 + 3.48. Let z = -6991\/399 + 160\/57. Let t = z - -15. Which is the third biggest value? (a) t (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/12 - j**3\/3 - 2*j**2 - 3*j. What is the units digit of x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.09, 22832, 1\/605 in descending order.\nAnswer: 22832, 0.09, 1\/605, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 302.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30364475 at most as big as 30364475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20050 by -20050.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4.1. Let g = -0.106 + x. What is g rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (6*sqrt(27)\/(sqrt(9)*1) + 5*sqrt(192)*-2)**2*-5).\nAnswer: -410685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.43+-0.2229\nAnswer: -0.6529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/19868657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - 0.2. Let u = 37984 + -37989. What is the smallest value in -9\/5, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261135\/21735 - (-3)\/(-207)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484283 is divided by 108.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:32 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15342, -15206, -15070, -14934?\nAnswer: -14798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -10.7. Let d = -1.83 - -2.03. What is the third smallest value in d, -2, k, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 1\/20*w**5 + 0*w + 0 + 0*w**3 - 13\/24*w**4 - 5*w**2. Find the second derivative of k(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - v)*(3*v - 2*v - 6*v) - 9*v + 114 + 63*v**2 - 8*v - 65*v**2 + v.\nAnswer: 3*v**2 - 16*v + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-8))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*c + 2*c**5 + 97*c - 159*c + c**5 - 2*c**5 + 2*c**5 + (-c + 0 + 0)*(-c**4 - 4*c**4 + 3*c**4) - c**5 + 5*c**5 - 3*c**5 + 0 + 2*c**5 + 0.\nAnswer: 8*c**5 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.05 + -0.05. Let z = -3.4 + g. Let f be 1 - (45\/(-12))\/(-3). Sort 5, z, f.\nAnswer: z, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1 + 3)*0. Let f(s) be the second derivative of a + 0*s**3 + 1\/20*s**5 + s + 0*s**4 + 1\/2*s**2. What is the derivative of f(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - 4) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14920585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n. Let s be (-18)\/(-6) + 4 + -6. Give x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = 4*o + 5*i, 2*o = -3*i - 6. Solve -4*x + o*x = -16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36040 + 733?\nAnswer: 36773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*o - 13, -6*o + 5 = -o. Which is greater: 141 or h?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -337 + -22. Which is greater: l or -365?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3596\/15 - 80567\/330. Let h be ((-8)\/(-10))\/(10\/(-25)). Calculate the common denominator of w and (1 - (h - 0)) + 181\/(-24).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d\/d**12*d**(-13)*(d*d\/d**(4\/9)*d*d)\/d)**(6\/11) assuming d is positive.\nAnswer: d**(-350\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74249*r + 1403 = -74310*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -550, -0.16, -5, 282?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 15) + 26 + -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3895, -7792, -11689?\n\"Answer: -3897*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 12*l - 7. Let x be d(-13). Solve -4*b + b = -x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5168 and 2128.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11174 + 12119. Do 1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 73956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:59 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185520541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -196 (b) -1.7 (c) 3.481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3211 and 1235?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998458 is divided by 1832?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 + 5800*w + 104693. Give n(-17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115190 is divided by 371214?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - o - o)*(247*o - 1225 + 1225 + (-o + 0*o - o)*(0 + 5 + 0) + 15 + 2*o - 15) to the form w*o**2 + y*o + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 33111 - 15*a - 10*a - 8*a.\nAnswer: 2*a - 33111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25 + -24 - (-1)\/(-2)*2. Suppose -5*v - x = -859, 0*x + 3*x + 3 = c. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/55 in 6, 0.5, 4, 2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1165 + -668. Suppose -4*z - x = -11*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10240 and 311296.\nAnswer: 1556480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - b + 5, 0 = -3*m - 2*b + 3*b + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 2164 = 14*r. Let q = r - 1121. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*(-567)\/(-486)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 1, u: 11}. What is prob of picking 1 z, 1 u, and 1 s?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 - 14*t**2*u**2 + 2*t - 14*u**2 wrt t?\nAnswer: -24*t**2 - 28*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13815 = -j + 6*j. Suppose -4*z - 363 = -j. Suppose l = -2*g + z, g = 6*g + 5*l - 1510. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 73 - 150 - 17*b**2)*(4*b + 2*b - 33*b).\nAnswer: 459*b**3 + 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1395\/43, -11, 5, -1, -3 in increasing order.\nAnswer: -11, -3, -1, 5, 22, 1395\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369\/5 - 74. Let p = 0.5756 + 1.4244. What is the third biggest value in 5, p, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 27 = 5*l - h, -5*l + 2*h - 26 = 0. Which is the nearest to 0.09? (a) 0.5 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80409 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-22)\/(308\/63)))\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - f + 3*f**3 - 6*f**3 + f**4 + 2*f**3 in the form q + o*f**4 + i*f**3 + v*f**2 + p*f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 43. Suppose -3*b + i = -10, -2*b + 3*i + k = -i. What is the third derivative of -11*l**2 + 16*l**2 + 0*l**b + 2*l**4 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*o + 2*n - 1, o + 2*n - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6428 is divided by 87.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 761 - 3020 + 770 + 784 + 747 - 31*w to d*w + l and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + j + 15 = 0, -9 = 26*b - 28*b - j. Solve -18*f = -20*f - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145634095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49549453.\nAnswer: 107, 311, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5 + 2) + 2\/16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -14, -3, 12, 31?\n\"Answer: 2*n**2 + n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/400*30\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 1. Let u be 2\/6 + (-8)\/(-12). Let n be d(u). What is the second biggest value in -0.4, 1, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8173 to 2 decimal places.\nAnswer: 5.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. Suppose 3*i - 7 = -n*g + 8, -3*g = 3*i - 9. Solve 3*f - g = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/7 - 10\/35. Let z be 5 - (5 + a + -3). Let s = -5 - -9. Solve -r - j - 1 = 0, -z*j + 3 = -3*r - s*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m - 156*m - 315 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*w = 0, 0*w - 3*w = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369.865 millilitres in litres?\nAnswer: 2.369865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*k + 155*k = 10. Which is the fourth biggest value? (a) 1\/3 (b) -4 (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 14*t = -147. Let k(u) = u**3 + 14*u**2 - 23*u - 25. What is the remainder when k(-15) is divided by t?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.123.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + i - 0*i - 1127, -5*i - 2289 = -2*y. Suppose 6*d - y = 836. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6) + (-1085576)\/168)*-7. Let y = -74230 + a. Round y to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44580, -45407, -46768, -48663, -51092, -54055?\n\"Answer: -267*t**2 - 26*t - 44287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 623 by -1.\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1706864, 6827441, 15361744, 27309779, 42671552, 61447069, 83636336, 109239359?\nAnswer: 138256144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2 + 0 + 3. What is the second derivative of 4*a - 11*a**2 - 104*a**2 + 25*a**2 + 2 - z*a**2 - 36*a**2 wrt a?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -71. Solve x - s = -5*c, 0*x - 3*c - 25 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rbrrtrmrtmtsm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - 429\/(-44). Is (-4376)\/(-40) + (-4)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (19 + (-3)\/(-3))*(-714630)\/(-168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/57484 and -25\/133?\nAnswer: 1092196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1802 and 12.\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841984 and 34684?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 13*l - 9. Let n be s(12). List the prime factors of 254\/n*((-36)\/8 + 6).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827869521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 13*i + 462 = 0. Suppose -21*c + i - 3 = 0. Solve -3*p = 3*v - 2*v - 3, -3*p - 3*v = c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2.8 (b) 3 (c) -0.05 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 less than 0.059?\nAnswer: -548.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - 17*v + 43*v - 26*v.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {r: 4, f: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, q: 9}. Give prob of sequence qqrr.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 2\/35 (c) -1\/2 (d) 1 (e) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {d: 2, i: 4, l: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 28\/6)*-3. Suppose -5 - 3 = 4*w. Suppose 4*o = 9*r + 2437 - 2403, -4*o + 56 = 2*r. Put w, l, r, -3 in increasing order.\nAnswer: l, -3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j - 4. Let v(h) = -7*h**2. Determine v(d(i)).\nAnswer: -1008*i**2 + 672*i - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 7*h + 15. Let d be n(-7). Let x be d - (2 - (-3)\/3). Let s be ((-1)\/(-4))\/(x\/48). Is s less than -1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 + 3837199 - 3837199.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/16 and 61\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 + 13*c**2\/9 - 4*c\/9 = 0. Calculate c.\nAnswer: 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/305293 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15472386 - -5538386. Round z to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15182 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: Which is the closest to 66? (a) 5 (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 3*t. Let i = -47 - -125. Calculate the remainder when i is divided by r(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/5849 + 567389\/210564. Find the common denominator of ((-45)\/(-14))\/((-77)\/(-49) - 1) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:57 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(15\/(-12)) + 0. Suppose 205 = 2*h + 3*i, -2*h + i = -f*i - 165. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/10 - p**4 - 7*p**3\/6 - 3*p**2 + 344*p - 3. Let t = 1 + -7. Does 12 divide g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z - 2 - 1)*(8*z - z - 3*z + z + 0*z + z + (1 - 1 - 2)*(-2*z + 0 + 0)).\nAnswer: 10*z**2 - 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.95 + 18. Let i = -9.15 - g. Round i to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -270 - -1428. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332257 (base 8) to base 16.\nAnswer: 5b4af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w**3 + 2*w)*(-3*w**2 - w**2 + 14*w**2) + 6*w - 3*w**5 + w**5 - 8*w.\nAnswer: 18*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*j + 67*j + 72 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 7*k - 4*k)*(-2*k**2 + 0*k**2 - 3 - k + 3*k**2) to the form b*k**2 + i + w*k + p*k**3 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947517 is divided by 705.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/((-77)\/(-987)) - 0\/1. Let p = 143 - f. Factor 0 - 2\/5*i**p - 2\/5*i.\nAnswer: -2*i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5\/2 + 470*x**4 + 22555*x**3 + 43710*x**2 + 43245*x\/2.\nAnswer: 5*x*(x + 1)**2*(x + 93)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, b: 5, l: 5, s: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 23 = 4*p - 4*g, -4*g = -p - 29. Let h be (1\/(-2))\/(p\/(-26)). List the prime factors of (-1599)\/(-18) + h\/(-6).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let o(r) = -5*r. Give -o(j) - 2*y(j).\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 23*f**2 - 43 + 133 + 21*f + f**3. Let g be a(22). Solve -4*n = -0*n - g*m - 2, n + 4*m = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 3*u**2 - 4*u. Let v be w(-4). Which is the third biggest value? (a) v (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331513*j**3 - 137*j + 798 wrt j?\nAnswer: 1989078*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/7*(-161)\/(-69). Let h be -1*k*(-42)\/588. Put -3\/7, 2\/3, h, 0 in ascending order.\nAnswer: -3\/7, 0, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7 + 2*s + 0 - 12. Let m be y(3). Is (-2 + 3)\/(m\/13) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 2*o - o)*(-11*o - o - 3 + 8*o**3 - 10*o**3) to the form t + b*o + i*o**2 + y*o**3 + z*o**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*d - 19 = -157. Let f = -1 + 4. What is the nearest to -0.04 in d, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165688 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 7*v - 2. Let a be g(-6). What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 - 33. Let r = -76 - y. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14003693, -14003855, -14004017, -14004179, -14004341, -14004503?\nAnswer: -14004665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 145\/2. Let n = -2\/459 + -2905\/459. Let p = n + q. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 y when four letters picked without replacement from {y: 3, z: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/282 and -68\/9?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - v = -96, -3*d + 239 = -5*v - 17. Calculate the highest common factor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*(5 - 14). Let l be (d\/8)\/((-2)\/120). Suppose 150 = 3*o + l. Solve -q - o = -5*f - 6*q, -q + 12 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 5*w. Suppose 0 = -3*j + 67 + 41. Let u be (-8)\/(-20) - j\/(-10). Suppose b + 20 = -3*b. Let x(m) = 2*m**2 - 4*m. What is b*x(q) + u*t(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(95)\/(sqrt(180) - sqrt(180)*-2).\nAnswer: -2 + sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(540)\/sqrt(3)*2 + 2 + 3)**2.\nAnswer: 720*sqrt(5) + 25945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 3*l + 2*l - 60.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 0*l**3 - l**3)*(-1 - 2 + 5) - 178 - 576*l**3 + 178 + (-2*l + 2*l + l**2)*(-2*l + 1 - 1).\nAnswer: -582*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 10*u - 20*u. Let q = -20 - u. Suppose -474 = -q*h + 30. Calculate the highest common factor of 210 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 0, -2, -217 in descending order.\nAnswer: 55, 0, -2, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - sqrt(65)\/(sqrt(5) + sqrt(5) + 1*sqrt(5))).\nAnswer: -5 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2150414*m**3 + 1480223*m wrt m?\nAnswer: -12902484*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1386571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v**5 + 484*v**4 - 216*v**3 - 1076*v**2 + 184*v + 480 = 0 for v.\nAnswer: -1, -3\/4, 4\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -3*c. Suppose -4*v - 2*v = c. Suppose v = -3*l - 2*i + 17, 3*l - i = 24 - 1. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 37*z = -272 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(102)\/sqrt(6).\nAnswer: -3*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.303 and -14.6.\nAnswer: -14.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 12*h + 8*h + h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0230818 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6224 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + -254. Sort h, 0, 0.012, 1\/4.\nAnswer: h, 0, 0.012, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 746*x**4 - 5399*x**3 + 1258014 with respect to x.\nAnswer: 2984*x**3 - 16197*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59751611 is divided by 681?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 318568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1077 + 1082. Let d(b) = b - 2. Let k(j) be the second derivative of -j**3\/3 + 3*j**2\/2 + 16*j. Calculate f*d(y) + 3*k(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1402 - ((-2)\/(-8) - 12\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84672 and 1348704?\nAnswer: 18881856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.4 + 6. Let i(t) = t**3 + 23*t**2 - 23*t + 19. Let x be i(-24). Is x equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70.9999918 + -71. Round v to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*o - w, -10*o - 24 = -6*o + 3*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257006 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pai when three letters picked without replacement from anianhaannp.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-3 - -13) + -23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*h - 8713 - 168, r - 3*h = 2963. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58146 divided by 11.\nAnswer: -5286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34078, 4, 5 in ascending order.\nAnswer: 4, 5, 34078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8dc (base 15) to base 13\nAnswer: bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 14*w + 20. Let j be m(-8). Are 36 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 - -8.8. What is the biggest value in -4.3, f, -3\/5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492352 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*y - 12, f + 3*y = 6*f - 12. Let x = 0 - -3. What is the nearest to -2\/5 in 4, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from 56192782.\nAnswer: 56192803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2263*k**2 - 1972*k**2 - 1977*k**2 + 6221*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 12954.\nAnswer: 142494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 3*a = -50. Suppose -3*w + 125 = -a*k, 9*k = 4*w + 7*k - 176. Let p be (14292\/(-27))\/((-1)\/w*-3). What is p rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3888)*1)\/((sqrt(90)*-3)\/sqrt(10)) + 4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 61*o - 12196. Give d(-145).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*d*o**2*t**2 + 12*d*t**3 - 38*o**2*t**2 - 10*o*t**3 wrt d.\nAnswer: 14*o**2*t**2 + 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23 + -21 - (3 - 0)*-172. Let h = 525 + l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let w = 2.8 - 2.4. What is the closest to -1 in q, w, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 30\/8 + (-15)\/(-92).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -446? (a) -4 (b) 0.2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.7662ng to milligrams.\nAnswer: 0.0000457662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*(5 + -3). Suppose -6*s + q*s = -54. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(6\/8) - -3. What are the prime factors of 39 - -8*k\/(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1423 - -2808. Suppose 12*z + 329 = w. Is (9966\/z)\/(2\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4560.741478 to the nearest 10.\nAnswer: -4560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 divided by 138.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 13 = 29, -2*b = -5*g - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x - 89*x - 330 = 38*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 2.9. Let k = g + -3. Which is the closest to 1\/2? (a) 0 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 16 = -4*p + 11*p, 2*p + 8 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f + 1. Let u(b) = -6*b - 3. Is u(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + (sqrt(102) - (6*(sqrt(102) + sqrt(102)*-1) + sqrt(102))) - sqrt(102))\/(sqrt(6) - sqrt(54)\/sqrt(81)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 12*f**2 - 13*f - 35. Is p(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -4466?\nAnswer: -4467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 3 + 10*x - 3 to the form l*x + y and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -35*g + 176. Let k(a) = -a**3 + 6*a**2 - 5*a - 8. Determine k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - a**2 + 10*a - 12. Let y be b(3). Calculate the greatest common divisor of 336 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -210*w + 6511. Give d(31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -141*y**2 + 15*y + 6. Let i(r) = -70*r**2 + 8*r + 3. Calculate 11*i(o) - 6*m(o).\nAnswer: 76*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.4987*-0.4.\nAnswer: -3.79948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 222, 213, 200, 183, 162, 137?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*v = 55, -65 = q + 4*q - 4*v for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10898 is divided by 420?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4499771, 4499775, 4499779, 4499783, 4499787, 4499791?\nAnswer: 4499795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -17. Solve -3*b - s*l = 0, 4*b + 11 = -l + 2*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 15. Suppose 0 = -3*k - 4*u + 26, 0*u = 5*k + 2*u - 20. Suppose 67 = k*z + q. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 561\/340*(-1840)\/276.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 5 - 1)*(2 + 0 - 4) + 1 + 2 + 0 - 5 + 4 - 4)*(-3*l + 5*l - l + 2) in the form t*l + z and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + -21 + 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Suppose -5*w = -0*w - 5. Let a(v) = -3*v + 3 + 3*v - 2*v - 4*v. Let t(m) = 7*m - 4. Let o(b) = 4*a(b) + 3*t(b). Determine w*o(s) - 4*n(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 4*h**2 + 4*h - 2 + 2. Let r(w) = 6*w + 9. Let k be r(-2). Calculate p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t - 4*t - 11645. Is t\/(-7) - 6\/(-42) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2727 * -0.082.\nAnswer: 0.1863614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3640 - 1396 = 4*l. Is 1\/(-3)*-1*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(704) - (sqrt(704) - ((-1*sqrt(704)*-1 - sqrt(704)) + sqrt(704)))) + sqrt(704))*-1 + -4*(1*1*sqrt(704) + sqrt(704) - (sqrt(704)*2)**2*-6).\nAnswer: -67580 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-10)\/(-75)))\/((-26)\/39 + (-56)\/(-12)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*t**2 + t - 72*t**2 - 3487 + 2813 - 67*t**2 + 0*t to the form z*t**2 + q + b*t and give q.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 2950 = -b + 7*v, -5*v - 8808 = -3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(9 - 6 - 1)*(-4*t + 9*t - 12 - 7*t)*(-3*t + t + 0*t)*(-5*t + 6*t + 2*t) in the form g + z*t**2 + p*t + c*t**3 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 207163421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 + -127.1. Let i = -10 + w. Let g = i - 5.9. What is the third smallest value in -4, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 2*x**2 + 0*x**2 - x**3 - 1 - 1 - x. Let s be g(-2). Let b = -2 + s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7228 + 10679. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*n - 2*s, -269*s + 39 = -n - 252*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 bigger than -24816\/623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -23\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:08 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 3*o. Let j(s) be the third derivative of 0 + 0*s + 1\/8*s**4 - 72*s**2 + 0*s**3. What is b(j(w))?\nAnswer: 27*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + j**2 + 19*j + 63. Let y be m(-4). Is -1\/4 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 - 29*y**2 + 73*y - 39. Calculate u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1418295*c**4 - 10*c**2 - 4*c - 44384?\nAnswer: 34039080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(162)*3)**2 + 4 + (2*(sqrt(200) - (-2 + sqrt(200) + sqrt(200)))**2 - (sqrt(200) + sqrt(200)*1*-6)**2).\nAnswer: -3133 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 - 36*w + 2 + 1 - 119*w + 14.\nAnswer: -155*w + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 2*q + 2. Let u be n(3). Let a be ((-1)\/(-18))\/(1\/(-4)). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 5. Let q(w) = -5*w + 14. Let f(j) = -24*j + 67. Let u(r) = 4*f(r) - 21*q(r). Determine -11*m(g) - 2*u(g).\nAnswer: 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*u + 118*u**3 - 679*u**3 - 136*u + 39*u.\nAnswer: -561*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Suppose 4*v + 28 = 4*b, -12 = 3*v - 3. Suppose 0 = 2*c - 6, -3*f - 23 = -b*c + 4. What is the closest to r in 0.1, f, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m + 3*u, 7 = -m - 5*u + 11. Let f = -0.9 + 97.9. Which is the smallest value? (a) 2\/13 (b) 1 (c) m (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 3*w**2 + 3*w + 1. What is f(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (9 + (3 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 27 (b) 7.19 (c) 4 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4397 - -5.\nAnswer: -4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4339, 13350, 3 in descending order.\nAnswer: 13350, 4339, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/180 - 14*q**5\/45 - 53*q**4\/36 - 26*q**3\/9 + 18*q**2 + 6. Determine v, given that c(v) = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.5. Let w = -44 + 43. What is the smallest value in r, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -16 - 8. Let j be (-7628)\/h*21\/14. Is (j\/(-10))\/((-174)\/(-30) + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - a + 495 = 0, 4*l - 512 = a + 481. Let q be 592 + (1 - 2) + 0. Let p = q + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 137768*x - 6617472.\nAnswer: 2*(x - 48)*(x + 68932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10846.11 kilograms in nanograms?\nAnswer: 10846110000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(14\/4 - 3). Suppose -8 + g = -2*a. Solve 0 = -0*c - c - a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 554*l**3 - 261675*l**2 + 3297832*l + 3560060 = 0. Calculate l.\nAnswer: -862, -1, 14, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 2*n, -3*a = 3*n - 15. Let k = a - -8. Suppose 14*l = k*l - 10. Put -5, 1, l, 0 in decreasing order.\nAnswer: 1, 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 5*b**2 + 5*b - 7. Let a be u(-6). Let x be 2\/(a*(-3)\/48). Calculate the greatest common factor of 80 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93699412.\nAnswer: 2, 19, 379, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - -10.5. Let n = x + -14.00000044. Round n to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 3*y + 6 = 0, -y - 172 = w - 166 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.2, 23856, -6\/19 in descending order.\nAnswer: 23856, 0.2, -6\/19, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/720 + a**5\/60 - a**4\/24 - 2*a**2. Let u(f) be the second derivative of n(f). Let y be (1 + 2)\/((-12)\/8). What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1716 in -3, 2, 637?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**2 + 2. Let y be x(2). List the prime factors of (-6)\/(-45) - 926\/y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.7185 litres to millilitres.\nAnswer: 854718.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.08, -8\/9, 1.1, -0.9 in descending order.\nAnswer: 4, 1.1, 0.08, -8\/9, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbhbhqbhbhhhbb. Give prob of picking 1 q and 3 h.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 636 + 408 + 117 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 64772480246737?\nAnswer: -64772480246735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 9*n**2 - 11*n + 21. Give d(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6981 is divided by 2064.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - m + 12 + 6 = 0, 0 = -3*m + 6. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 105. Let f = t - -31. Let k(x) = 3*x - 8. Let o be k(9). What is the highest common factor of f and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f - 3*g + 24, -f - 2*g + 12 = 0. What is the units digit of -1*f\/(-3)*96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*k = 30*k - 66*k + 3135 - 714 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*q - 1738, 34*f - 36*f + 4*q = -1738. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97656 by -12207.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-7) - 6\/(-21). What is the third derivative of 6*h**3 + 13*h**d + 3*h**3 - 15*h**2 wrt h?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 1\/12*k**4 + 0 - 5*k - 1\/3*k**3 + 1\/2*k**2. Let u(l) = l - 1. What is -b(x) - u(x)?\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5731603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 205106?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y. Let h(p) = 38*p**3 - 57*p**2 + 57*p. Let f = 8193 - 8250. Give f*i(b) - h(b).\nAnswer: -38*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17461519 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -4, 1\/7, -0.5, 268, 2.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -338*k**2 + 3384*k - 31. Determine d(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9 = g - 0*g, 4*g + 5*s = 10. Suppose 0 = g*q - 2*q - 6. Suppose 4*b = -4*d + 180, -q*b = d - 109 + 23. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + 64. Let i = d - -32. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2829 - 0.1?\nAnswer: -2.3829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3)\/4*24\/(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 + i**4\/6 - i**3\/6 + i**2. Let z be b(3). Suppose 2*s + z = -2*s + 5*t, 5*t = -10. Is s at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, y: 1}. What is prob of picking 2 y and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7. Let v = -1 + l. What is the third biggest value in 1\/3, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1 + sqrt(3))*-4 + sqrt(36)\/(sqrt(36)\/sqrt(3)) + -2)**2 + -3.\nAnswer: -28*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*6\/(-4)*(-17 - 8564) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-105)\/(-3381)*(-132)\/(-10). Let t = g + 12101\/3864. Find the common denominator of t and 107\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5095010 = -5*z - 2*f, -2037990 = -5*z + 7*z - 2*f. What is z rounded to the nearest 10000?\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12)*-2*16\/84.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39096037 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(1100) + -4 - (sqrt(1100) - 3*(sqrt(1100) + 0 + sqrt(1100)))) + -2)**2.\nAnswer: -1600*sqrt(11) + 70500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*x**3 + 99*x**3 + 0 - 2 + 2*x as l*x**3 + q*x + u + v*x**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/13)*s\/s**(7\/2))**(-3)\/(((s\/s**(2\/7))\/s*s*s*s)\/s*s\/(s\/s**(2\/3))*s)**(-18\/11) assuming s is positive.\nAnswer: s**(26553\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -0.0623 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265421\/20 + 13275. Let a = -3943\/1807 + 36\/139. Find the common denominator of a and s.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652671251.\nAnswer: 3, 7, 11, 1193, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(243) - (2 + sqrt(243))**2) + sqrt(243))*3 + 5).\nAnswer: 54*sqrt(3) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 497 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 246*q**2 + 493*q - 1235. Determine f(244).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8)*-1*-3)\/((-36)\/60).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*i - 87*i - 20 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 209055061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-129)*(-45)\/(-10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22565*r**2 + 134*r - 487.\nAnswer: -45130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 1)*(2 - 7). Suppose -y*a + 370 = -5*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1387, 3354, 5277, 7150, 8967, 10722, 12409, 14022?\n\"Answer: -o**3 - 16*o**2 + 2022*o - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 2. Let y = -3 + 8. Let a be u(y). Find the first derivative of 1 - 3 + 2*i + a*i wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/96*123\/2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 7\/2 (b) -0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/21, 2\/13, -3 in descending order.\nAnswer: 2\/13, 2\/21, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Let q be (125\/(-3))\/((-2)\/(-960)). Let g be q\/d*2*-90. Round g to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.787171 millilitres?\nAnswer: 0.004787171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*f + 188*f + 518 = 0. Let m = f - -64. Let v(r) = -r**2 - 11*r - 12. Give v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/(-10) - (-10)\/25. Let c = f + -6. Let k = 57 - 62. Sort -3, c, k in descending order.\nAnswer: c, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 961864775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2923300 to the nearest 10000.\nAnswer: -2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by -505166.\nAnswer: 198\/252583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 157. Let n be r(39). Which is the closest to n? (a) -3 (b) 0.9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 44*a**2\/3 - 136*a\/3 - 1680.\nAnswer: 2*(a - 10)*(a + 14)*(a + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37411388 * 0.1\nAnswer: -3741138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70891834*n**3 - 6950*n**2 + 2808*n wrt n?\nAnswer: -425351004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 82 = 5*t, -470*t + 471*t - 5*j = -92 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255838731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 3*d - 11. Let j be v(-4). Let f(l) = l + 1. Let h(z) = -3*z - 2. Calculate j*f(c) + 4*h(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3.626, 5 in increasing order.\nAnswer: -0.5, 3.626, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - 28*4\/(-24). Solve 3*j + 26 = 5*n, 6 = y*j + 4*n - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.016 and 661.\nAnswer: 661.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from jjkktktkttjkttjt?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 158\/4*(-4 + -5)*218\/981\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 6:41 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001785877 rounded to seven dps?\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(0 + 2*sqrt(192)*6 + -3))**2*6.\nAnswer: -4480434 + 93312*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 38*c**2 + 2*c + 1. Suppose 0 = 4*a - 9*a + 5. Suppose 5*h = -o + 4*o - 12, -h + a = -4*o. What are the prime factors of l(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4423*h + 4415*h - 8838*h - 5*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -84c?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38699, -77419, -116139, -154859?\n\"Answer: -38720*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12aad6 (base 15) in base 11?\nAnswer: -562887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40323 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 144 = 2*y, 0 = -0*r - 5*r + 20. Let k = 26 - 18. Calculate the highest common factor of k and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*x - 5*x. Let q be 33817\/(-35) - x\/(-5). Is (-6)\/(-24) + q\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.12, -25, -2\/11?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18*-1*(7 + (-88)\/11). Suppose -p*y = 26*y - 37*y. Solve 0 = -4*w + 4*g - g + 14, w + g = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = -18. Let s = -17 + y. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/40*10\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23148632753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 8*o**2 + 5*o - 10. Let j be 5 + -2*(2 - 1). Let r be (-23)\/j - (-2)\/3. Let i be z(r). What is the smallest value in -3\/5, 0, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h + 3017 = -2726 - 275 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68734743 - -291964743. Suppose 8*t + u = -13*t. What is t rounded to the nearest 100000?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*t - 5 + 4.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) 18\/23 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/60 + n**6\/180 - 5*n**3\/6 + 12*n**2. Let u(f) be the first derivative of p(f). Find the third derivative of u(x) wrt x.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -80, -216, -412?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 92*a - 82. Let d be n(1). Solve -4*s - 2*p = -5*s - 2, 5*s + 5*p = -d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-4)\/6)\/((-6)\/9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 2*d + 16. Let z be u(-5). Is 2\/z*(-7063)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:42 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107710894.\nAnswer: 2, 317, 169891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2619\/189 + -13)\/(4*1\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 102*w**2 - w + 10293. What is o(101)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22310020 (base 4) in base 7?\nAnswer: 243100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 + 1901\/9. Suppose 6*g - 2 = 4*j + 34, g = 2*j + 10. Sort q, 3, j, 2 in decreasing order.\nAnswer: 3, 2, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*u**2 - 100*u**3 - 74*u**2 + 133*u**2.\nAnswer: -100*u**3 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxhmhvchxhhxhxvm. Give prob of sequence vmv.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*p**3 + 237*p**3 + 12 - 13 + 1.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 8:45 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/3 + 31\/9. Which is the biggest value? (a) -1 (b) -5 (c) -0.5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiddid. Give prob of sequence didd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-77)*7\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (822\/(-4))\/(-1) - 21\/(-42). Suppose 10 = -c*z + 207*z. Solve -8*d - z = 2*k - 3*d, -k = 2*d + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/287 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/105? (a) -2\/13 (b) 0.2 (c) -0.285 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 762 + -753. What is the least common multiple of 13\/2 - 2\/(-4) and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(38)\/sqrt(2) + sqrt(19) + 3 + (3 + (sqrt(19) + 1 - sqrt(19)) - sqrt(19)))*3)**2.\nAnswer: 126*sqrt(19) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/145947 + -16589351\/3064887. Let i = 50\/9 + h. Let l = 2\/63 - i. Which is the second biggest value? (a) -4 (b) 0.3 (c) l (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (42 + 1)\/(-6 + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ca91 + -e2?\nAnswer: -7cb83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 0.2 (c) -11 (d) -85.2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 - 7*j - 3. Let l be d(9). Solve 0 = -o - 0 - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617705520 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101669 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1198 + 1200. Let x be (4\/3)\/((-10)\/(-45)). Sort 5, x, 4, c in ascending order.\nAnswer: c, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15818*i*z**5 - i*z**2 - 51568*i*z + 96*z**6 + 94*z**2 + 3*z - 1 wrt z.\nAnswer: 949080*i*z**2 + 11520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-354)\/(-11) + 64\/(-352) and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*r - 45, u = 2*u - 2*r - 6. Round u to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 2*f**2 - f**2. Let j(y) = -y - 3. Let a(w) = -6. Let i(q) = -1. Let l(v) = -2*a(v) + 10*i(v). Let m(h) = 2*j(h) + 3*l(h). Determine n(m(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7034959985 from 66561.\nAnswer: -7034893424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1 - 4*f**2 + 9*f**2 + 1. Suppose -3*o + 2 = 2*m - 3*m, -2*m = -2*o - 4. Let z(y) = y**o + 20*y - 2*y**2 - 20*y. What is r(z(w))?\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 4812329333.86?\nAnswer: -4812329331.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 109882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 18*g**2 - 3*g - 8. Suppose 16*s = 20*s + 72. Let c be m(s). What is the highest common factor of c and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -17*g**2 - 2*g - g**3 + 31*g**2 + 3 - 14*g**2 - 7*g**2. Calculate h(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -726*b - 659. Give w(-1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h - 161 = 5*m + 36, 2*m + 7 - 1 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-4)\/(-32)) + 4. Suppose 193 = 4*x - 39. What is the remainder when x is divided by n - (-24 - 0) - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199.4012 - -0.4988. Let w = -104 + g. Round w to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-2) - -3) + 8. Let g = 4434 + -4429. Solve -t = 4, 3*f - g = r*t + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*m*q*t**4 - 176*m*q*t**2 - m*t**3 - 2*q*t**3 + 6*t**2 + 1 wrt t.\nAnswer: -336*m*q*t - 6*m - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/13)*l*l\/l**(-3\/11)*l*l*l*l**0*l**(-6)*l)**(-1\/5) assuming l is positive.\nAnswer: l**(-28\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d - 1. Determine t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*s**2 - 3*s**2 + 2*s**2)*(2 - s - 2).\nAnswer: -77*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c + 2*u, 3*c - 2 = 4*u. Let v = c + 0. Find the second derivative of -o - o + o + 2*o**v wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2011210132?\nAnswer: -2011210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 100.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18352 = -45*c - 18037 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2*-1*-202)\/(29*(-36)\/(-522))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14973826 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15675 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -12 - (-146)\/24) + (2 - 501\/396)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 1. Let u be j(2). Suppose -5*z - o - 17 = 0, 4*z - 5*o + 1 = -1. Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*k + 108 = -k, -3*f = 2*k - 344. Is 17 a factor of (-2)\/(f\/(-57) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2572802.085 to the nearest one hundred.\nAnswer: -2572800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 7644, -5, 3 in descending order.\nAnswer: 7644, 12, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*j + 18786 - 3882. Calculate the remainder when j is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0511 - 69.0511. Which is the third biggest value? (a) 5 (b) 0 (c) 15 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 253 + 274 = 0. Let o(b) be the second derivative of 8*b - 1\/150*b**6 + 0*b**p + 0*b**2 + 0*b**5 + 0 + 1\/60*b**4. Factor o(y).\nAnswer: -y**2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*t + (-1 - 2 + 0)*(-10*t + 20 - 20) to the form n + r*t and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -270 + -524?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 16.7. What is the third smallest value in l, -4, 2\/3, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*g - 3*g**3 - 3 + 2*g + 890*g**4 - 894*g**4 in the form l*g**4 + r*g**2 + a*g**3 + z*g + y and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -71, -65, -59, -53, -47?\n\"Answer: 6*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.1 - 6. Suppose -6*v + v - 4*n = -9, 12 = -3*n. Put 17, v, w in increasing order.\nAnswer: w, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*q + 1921 - 5683 = 4242 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045809 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -5*j + 8*j. Is (-1105)\/j + 1\/(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (394\/4 - -2)\/(29\/((-35960)\/(-15)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.13485 plus 149?\nAnswer: 143.86515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 4.36. Let b = n + -0.4. Let c = -0.9 + -0.1. What is the third biggest value in c, b, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.52862l in millilitres?\nAnswer: 5528.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + -0.1. Let j = -0.08 + m. Let p = -0.3 + 0.3. Which is the biggest value? (a) p (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**3 - 2*i**2 - 4*i - 4. Let z be v(-4). Suppose -z = -4*m + 60. Suppose 4*r = m - 10. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(1\/3)\/((-3)\/6). Factor -5*b**2 - 8*b - t*b**2 - 4 + 9*b**2.\nAnswer: -4*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-42) - (-20)\/6. Let q(m) be the second derivative of 0*m**u + 0 + 1\/10*m**5 - 1\/4*m**4 + 2*m + 0*m**2. What is the third derivative of q(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4 - 6 - s + 2*s. Let k(l) = -93*l - 91. Let c be k(-1). Calculate r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 1. Let l be a(-2). Let j be 1\/(-3)*(-15 - l). What is the third biggest value in -4\/9, 0, j?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1024 + -0.0024. Which is the closest to -2\/3? (a) d (b) 63 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmjjjmjmjjjjj. What is prob of picking 3 j and 1 m?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 819 and 7665315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - -2) - (-5 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/120 and -19\/1584.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28691090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -10797, -42, 9?\nAnswer: -10797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 2\/771, 0.9, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -4 (b) -119 (c) 5.4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 - 36\/(-90). Solve y = -8*d - 18 - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5 - 5*a**3 + a**3 + 5*a**2 - 3*a**3 + 5*a. Let n(j) = -3*j**3 + 2*j**2 + 2*j + 2. Suppose 149*p + 15 = 146*p. What is p*n(z) + 2*s(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -4*x - c + 7743, -3*x = -5*c - 5806. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.18. Let t = l - 0.0376. What is t rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 3 - (-70)\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 2. Let i(q) = 288*q + 306. Let k(w) = 6*i(w) - 918*z(w). Let p(r) = 3*r. Give k(p(l)).\nAnswer: -324*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3040 and 228?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 186*l**2 - 145*l - 2105. Give m(92).\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/14)\/(6\/(-64)). Let p = 10 - 6. Suppose v = p*u - 0. Let a(w) = w - 7. Determine a(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, -1\/5, -4, 60?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17897380, 17897379, 17897378, 17897377, 17897376?\n\"Answer: -r + 17897381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((1 - 2) + 1). Let v be (0 - (-3)\/(-3))*-2. Let r = v + q. What is the highest common divisor of r and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*a = -121*a + 8404. Suppose -5*q + a = -68974. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 - 6987896*y + 3051918156676 = 0. Calculate y.\nAnswer: 873487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20256476.\nAnswer: 2, 5064119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1638151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**2 + 212 + 213 - 615 + 190. Let s(w) = -4*w - 49. Determine s(q(t)).\nAnswer: 32*t**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(133)*-4 - (2*sqrt(133) + sqrt(133))*-6)\/(3*(sqrt(700) + (sqrt(700) - 1*sqrt(700))) - 2*sqrt(700)*1) + -5.\nAnswer: -5 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/((-1)\/(-4)). Let m(s) = -46*s**2 - 20*s + 3. Let g(t) = 30*t**2 + 12*t - 2. Let i(a) = 8*g(a) + 5*m(a). List the prime factors of i(o).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + b)*(-3 - 2 + 2)*(b**3 + b - b) + b**4 + b**2 - b**2.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122309887 to the nearest integer?\nAnswer: 11059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**4\/8 + 71*h**3\/6 + 1155*h**2. Give s(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 4. Let y be b(1). Is 38390\/40 - (y + 11\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/4 + 450\/360. Let w(o) be the second derivative of -4*o - 9\/2*o**2 + 0*o**3 + 0 - 5\/12*o**a. What is the derivative of w(h) wrt h?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7445340511 - 0.3265.\nAnswer: 0.4180340511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 3064 and 3065 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626285.246 - 25.3?\nAnswer: -2626310.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/13))\/w*w\/(w\/(w**(2\/71)\/w*w)))\/(w**(-26\/9)\/(w*(w**(-42)\/w)\/w)))**(46\/5) assuming w is positive.\nAnswer: w**(-15257786\/41535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 594\/(-3)*(-1)\/2. Suppose w - 3*w - 22 = -o, 5*o = -w + t. Let z(y) = -62*y + 1306. Let h be z(21). Solve i - o = -h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(45\/(-6)) + 8\/2. Suppose -8*w + 3*w - 13 = o*r, -4*r + 49 = -5*w. Which is the nearest to 0.1? (a) -2 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 205*p**3 + 2*p**2 + p - 2. Let r(y) = -2*y + 19. Let t be r(9). Is h(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 275 - 40. Let s be (4\/3)\/((-8)\/(-12)). Suppose o = -2, s*o + p = 3*k - 3*o. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 32\/555 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 957, -1 in descending order.\nAnswer: 957, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9)\/u**(1\/6)*(u*u**5)**(-1\/21) assuming u is positive.\nAnswer: u**(-397\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3\/529, 0.08, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 3557\/485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -360*a + 6. Let v(l) = l**2 - 2*l + 2. Let j(f) = f - 1. Let g(n) = -2*j(n) - v(n). What is g(q(o))?\nAnswer: -129600*o**2 + 4320*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2708421 + 0.50483976. Let x = -215 + 214.766. Let v = w + x. What is v rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:31 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001210001 (base 3) in base 11?\nAnswer: 28607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:08 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 979 or 972?\nAnswer: 972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbbb when four letters picked without replacement from vbzzzhzhsbbhzth?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10175063 is divided by 290716.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.5 (b) -3047 (c) 0 (d) -7.1 (e) -0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1727701, -1727675, -1727649, -1727623, -1727597, -1727571?\nAnswer: -1727545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1194205299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, 42, 56, 84, 132, 206, 312?\n\"Answer: y**3 - 2*y**2 + 5*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 0*d**2 - 5\/4*d**4 + 0*d**3 - 1 - 11*d. Let z(q) = -q**3 - 2. Determine -2*v(l) + 11*z(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-125)\/75 + (-1)\/(-1). Put k, 5, -1 in descending order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 2. Calculate the remainder when 21 is divided by g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40 and 57\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**3 - 99*w**2\/2 + 108*w - 24 = 0.\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-55) + 1206\/22. Suppose -3*f + 3*h - 7 = -2*f, 2*f - 2*h = -6. Let x be f - (-12)\/(2 - 0). What is the highest common factor of x and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118344861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -50, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97962547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -5*r - 8*f + 495, 0 = -r + 5*f + 123. What is the remainder when 290 is divided by r?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + 2427770\/(-96792). Let g = 4\/4033 - w. Calculate the common denominator of -85\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10661 is divided by 162.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(0*i**5 - i**5 + 3*i**5) - 2*i**5 - i**5 + 5*i**5 + 0*i**5 - i**5 + 0*i**5 + (0 - 3 + 1)*(4*i**5 + i**5 - 3*i**5) + 199*i + 22*i**5 - 199*i.\nAnswer: 25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171038*a**2 + 4*a + 3897.\nAnswer: 342076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -342 <= -335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 11:49 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 20 - 17 = 0, -4*z = -2*w + 2268. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9137273 to four decimal places.\nAnswer: -0.9137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/110 and -23\/5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 4:53 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 528053*j**2. Let x(m) = -2*m**2. What is i(x(k))?\nAnswer: 2112212*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20884143*y + y**2 + 0 + 0 + 0 - 20884143*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 7. Let m(z) = 3*z**2 - 6. Suppose 30 = 4*y + w + 1, -4*y - 3*w = -39. Give y*m(s) - 5*q(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 3*c**3 - 10*c**3 + 3*c**3 + 3*c**3 - 4*c**3 + (-4*c**2 + 4*c**2 - c**3)*(0 + 0 - 2))*(-3*c - 2*c + c).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from yyyyqyqy?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3041 (base 5) to base 14\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21096 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 + 58 = 9*w. Let k = w + 43. What is the remainder when 81 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/37 (b) 2917.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (505*y**2 + 13*y**4 - 505*y**2)*(7*y + 4*y + 7*y + 1).\nAnswer: 234*y**5 + 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63752960 divided by -199228.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0)*4\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.2 in 0.4, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 7*s**2 + 7*s + 8. Let w be 2\/6 + (-150)\/(-9) - 2. Let u be 1\/5 + (-123)\/w + 2. What is c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -8\/25, 2.49, -11 in decreasing order.\nAnswer: 2.49, 1\/4, -8\/25, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 468*u**2 + 47007*u + 71. Give p(-85).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**(-4\/21))**(-23\/4)\/((h**(-1))**(43\/4)*(h**(-1\/4)\/h)**20) assuming h is positive.\nAnswer: h**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 30994352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 34*c + 224. Calculate o(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -2) + -1 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + m + 207 = 0, -f + 3*m + 29 = -9. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-2))\/((-10)\/20). Does 12 divide (-1281)\/t - (-12)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -11. Let p be (-6)\/(-15)*(-86 + t). Let w be p\/(-6) - (-14)\/(-21). Is 4 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 - 16514*t - 429026.\nAnswer: -(t + 26)*(t + 33002)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**3 + 9*b**2 + 6*b + 5. Let x(y) = -y + 14. Let c be x(8). Let s(u) = -9*u**3 + 10*u**2 + 7*u + 6. Determine c*s(v) - 7*d(v).\nAnswer: 2*v**3 - 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6355*i + 7217*i - 14480*i)*(-2*i + 0*i + i).\nAnswer: 908*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r - 9. Calculate a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.26. Let q = -8.86 - i. Let s = 11 + q. Which is the second smallest value? (a) 0.4 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2, 4*u = -5*a + 25 + 29. Let q(z) = -3 + 0 + a*z**2 + 4 - 2. Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.45, -0.4, 5, -2 in ascending order.\nAnswer: -2, -0.45, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/133, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*b = -0*z - 4, 2*z = b + 10. Suppose -2*q = 5*w - 4*q - 1468, 3*q = -z*w + 885. 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: Let a be (-2 - (-1 + 0))*-4. Let o be a\/26 + (-96)\/(-52). Suppose -3*d - 2*f + 73 = 0, -o*f + 3*f = -4*d + 99. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 + 6 - 3. Suppose 4*j - j - m = 0. Suppose -162 = j*k - 5*k. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 393*f**2 - 7*f - 2. Let u be r(-1). Suppose -u = -2*v - 6*l + 2*l, 0 = -5*v - l + 1022. What are the prime factors of v?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218.8 + 218.7858. What is s rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 15 = 0, -b - 25 = 3*b - 3*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 6. Suppose -d - x = -4. Let k(y) = -3*y + 3. Let l be k(d). What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u**4\/5 - 698*u**3\/5 - 798*u**2\/5 + 2*u\/5 + 114\/5 = 0. What is u?\nAnswer: -57, -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w = -31*w + 9. Let y(c) = 2*c**2 + 10*c + 21. What is the units digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j - 237. Let i be y(-24). Suppose -2*x + 5 - 13 = 0. Put -10, i, x in decreasing order.\nAnswer: i, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (33\/(-18))\/(-1). Let i = 20 + 79. Let z = i - 95. Which is the third biggest value? (a) z (b) l (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112682 and 1648?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 4, j: 1, t: 1, x: 4, d: 1}. What is prob of sequence xdx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843901866?\nAnswer: 2, 3, 103, 379, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/(-35)*(-1 - 6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 12*w**3 + 7*w**3 + 8*w**3 - 1 to k*w**2 + q*w**3 + m + p*w and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 269*f + 5766. Determine m(48).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or 18\/79?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 811044.5817 to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from berebbpbexeb. What is prob of picking 1 p, 1 r, and 2 b?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26948413\/37 or 728336?\nAnswer: 26948413\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 114. Let a = r + 78. Which is greater: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 6*l + 6144, 492*l - 496*l + 12248 = 2*q. Calculate the greatest common factor of 12 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llkklll. Give prob of picking 3 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 153714044929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -193751*q - 60044?\nAnswer: -193751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-3 + 22)\/((-1)\/10). Suppose -3*w - 61 = -k, -5*k - 4*w = -452 + 52. Calculate the greatest common divisor of k and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4991 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729071728.\nAnswer: 2, 7, 11, 591779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.23 - 38.693. What is y rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7421618.85 rounded to the nearest 10000?\nAnswer: -7420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13254*b**3 - 13248*b**3 + 26497*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029403539 is divided by 307.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3 - 3 + 5*x**2 - 4*x**2 - 3*x - 4. Calculate the lowest common multiple of o(5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25\/6 + -4. Let d(u) be the second derivative of 0 - 3*u + 3\/2*u**2 + 1\/6*u**4 + 1\/20*u**5 + w*u**3. Give d(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 294*o**2 - 1. Let v be m(1). Suppose -j - 5*b + v = 0, -2*j + 2*b = -702 + 56. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 0*d**2 + 0*d**2 + (-2*d**4 + 2*d**4 - 2*d**5)*(-63 - 64 + 118).\nAnswer: 16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 29*c + 136. Calculate the smallest common multiple of 1086 and b(24).\nAnswer: 8688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 390?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.35, 0.1, -3\/5 in decreasing order.\nAnswer: 0.35, 0.1, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 2\/5 (c) 32771 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.137, -0.41 in ascending order.\nAnswer: -1.137, -0.41, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 74*a**2 + 7*a + 8. Suppose -5*r + 14 = 24. Let j be k(r). What is the highest common divisor of 58 and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = 10. Suppose 5*c - 3*u + 6*u = 95, 4*c + r*u = 63. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 + 6*z - 37. Calculate a(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401232224 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 12)*15\/(-2). Let j be 3\/9*0 + (-260)\/20 + 11. Which is the second biggest value? (a) j (b) -3 (c) 2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 + c**2)*(-42*c - 10*c - 17*c) + ((3 - 4 - 1)*(-2 + 3 - 3) - 3 + 0 - 2)*(0 + 0 - 3*c**3) - c + c - 3*c**3.\nAnswer: -207*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/58 - (-2115612)\/58. Let d = o + -2407543\/66. Calculate the common denominator of 5\/33 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 12202153?\nAnswer: 12202151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707308 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*s = -1923 - 0 - 1757 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 + 16*o**2 - o - 8*o**2 + 2828*o**3.\nAnswer: 2828*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/1566 - 4626\/243.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6792*u**2 + 6*u + 6794*u**2 - 13587*u**2 - 5 = 0 for u.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z + 4*f - 77780, 0 = -4*f - 12. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/(11\/((-550)\/20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 31145123?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6235 is divided by 374?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 2, 0.2, 3.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7507 times -12?\nAnswer: 309.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -206*c - 14444. What is z(-70)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 3*b. Let n be m(0). Suppose k = -0*k + 1. Put n, k, 66 in decreasing order.\nAnswer: 66, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67251 + -3?\nAnswer: -67254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -17, -68, -161, -308, -521, -812, -1193?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 10 = -2*g, 3*u - 5*g + 0*g - 7 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/3)\/((c\/(c\/(c*c\/c**(7\/4)*c)))\/c*c) assuming c is positive.\nAnswer: c**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 12*r + 25. Let g(b) = b - 3. Let w(m) = -3*g(m) - s(m). Calculate w(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(((-1148)\/420)\/41).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -852, -1355, -1862, -2373, -2888?\n\"Answer: -2*r**2 - 497*r - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/19 + 112*g\/19 + 510\/19 = 0.\nAnswer: -51, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 9*v - 22 - 24*v - 69 + 13*v + 5*v**2.\nAnswer: 5*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(3 - 2 + 1)*(2*y**4 - 24 + 24).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 30025*x + 1561290. Determine o(-52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -7. Let x = c - -39. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/43 or -1?\nAnswer: -11\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f - 11. What are the prime factors of g(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37531832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3998188 millimeters in meters?\nAnswer: 0.0003998188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3631*b*s**4 - 1100*b wrt s.\nAnswer: 14524*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - g - 16. Let f be l(-3). What is the highest common factor of f and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/12 - d**3 - 6*d**2 - 15*d. Let k be f(6). Is (-130 - -4)\/(k\/8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/27 or -1459.87?\nAnswer: -1459.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 10:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - 72 - ((-4 - 0) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 6*g**4 - 95*g**3 - 6081*g**2 + 11370*g - 5200 = 0.\nAnswer: -26, 5\/6, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.8 + -0.8. Let a(q) = -q**3 + 3*q**2 + 5*q - 3. Let f be a(4). What is the closest to f in s, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, -4, -0.043.\nAnswer: -5, -4, -0.2, -0.043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 164990019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - 0.4. Let v = -2.3 + b. Is 1\/4 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 4. Suppose -2*b - 3*y = 0, 0 = 5*b + 3*y - 4*y. Let n be g(b). What is the third derivative of -33*x**2 + 21*x**2 - 4*x**n - 7*x**4 wrt x?\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or -801\/7?\nAnswer: -801\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 20 = 4*r, 0 = r - 3*v - 24 + 35 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r - 2. Let g(t) = -2346*t**2 - 2347*t**2 + 4695*t**2. Give y(g(p)).\nAnswer: -22*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42521 + -18922. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*sqrt(325)*6 - (-1 + sqrt(325) + 4)))**2*-4*2.\nAnswer: -2499112 - 19840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1964292*59\nAnswer: 115893228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22413, -22412, -22411, -22410, -22409?\n\"Answer: v - 22414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by -5.\nAnswer: -131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6696362275.\nAnswer: 5, 107, 2503313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose i = -5*d - 421419 - 231081. Let m = 69500 + d. What is m rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2620\/(-330) - (-10 - -2). Let w = 57 - 53. What is the second biggest value in m, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjos when four letters picked without replacement from {n: 2, o: 2, v: 1, s: 4, j: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10699*m**5 + 388*m**2 - 6*m - 2.\nAnswer: -641940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 - 3. Let q = 0 + 0. Let h = -12446 + 12453. Which is the closest to h? (a) s (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - 212211012210?\nAnswer: -212211021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1265 and 10?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 83 (b) 26 (c) 1.1 (d) 0 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1874, -1, 525 in increasing order.\nAnswer: -1, 5, 525, 1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -19, 4 in decreasing order.\nAnswer: 4, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**5\/5 - 2*k**3\/3 + 1. What is the third derivative of l(z) wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Let h(m) = -4*m**2 - 8*m - 10. Let p(s) = h(s) + 5*r(s). Let o be p(9). What is the units digit of 0 - o - (4 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 1362*i + 1360 = 0. Calculate i.\nAnswer: -680, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**3 - 4*l**3 - l**3)*(0*l + 2*l - 3*l) to g + c*l**3 + r*l**4 + y*l**2 + b*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/(-29)*2\/16.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 3185.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440, -883, -1326, -1769, -2212, -2655?\nAnswer: -3098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -13.\nAnswer: -12.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from lolllllllllllolllo.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 28*s - 50*s)*(40*s - 196*s - 9*s) + 0*s**2 - 2*s**2 + s**2.\nAnswer: 2804*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*k - 742*k + 12 + 356*k.\nAnswer: -2*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*k - 14*k = 365*k - 8016 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*y - 81, -48 - 35 = -5*t - 2*y. Let u = -14485\/4 + 3642. What is the common denominator of u and (-1)\/3 + t\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3381348 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 45, 58, 75, 96, 121?\n\"Answer: 2*i**2 + 3*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -856*l**2. Let s(h) = -4*h**2. Give g(s(u)).\nAnswer: -13696*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 397.64204 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000150741452 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i*v*x**2 + 6*i*x**4 - 127*i*x**3 - 82172*i*x**2 + 67*v*x**4 - v*x**2 wrt x.\nAnswer: 144*i*x - 762*i + 1608*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185006906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**3\/3 + 31*s**2\/2 + 21*s - 9\/2.\nAnswer: (s + 3)**2*(16*s - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 3. Let y be f(-2). Suppose y*v = -2*m + 7*m + 25, 2*v - m = 7. Find the second derivative of 24*s - 9*s + 27*s**2 + 4*s**3 - 27*s**v wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72156 + 31794 = 1575*b for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) - (-987)\/9. Let r = 3763 + -3641. Suppose i + h = r. What is the remainder when 45 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50180 = -5*o + 4*d + 50208, o = -5*d - 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 - 4 - 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:59 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1210?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*u**3 - u**2 - 375*u wrt u?\nAnswer: -240*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 - (-15 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16930 - -16930.2. Let f = -29 - -27. What is the biggest value in s, -8\/9, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1111 divide 9002433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 0*h**4 + 0*h**4 + (h**4 + 1 - 1)*(-h - h + h) + 5*h**3 - h**5 - 2 - 5*h**3.\nAnswer: -4*h**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2982 - 2981.997429. Let u = -0.002 + n. Round u to five decimal places.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 4. Let l = -17 - -24. Suppose 0 = 3*s - 2*b - 3*b - l, 13 = 4*s - 3*b. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4988322 divided by 194.\nAnswer: 25713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -5*s**8\/336 + s**7\/14 - s**5\/3 + 8*s**2. Solve l(o) = 0 for o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = -25*x - 72 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/7)\/(-2)*3\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.1, -5, -0.9, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29668, 67249, 104830, 142411?\nAnswer: 179992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by -358\nAnswer: -125\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 33 = -4*w - 0*w, -w = -5*c + 27. Suppose -c*v = -0*v. Suppose v = -2*d - d + 21. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -429 + 4?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6) - ((-21)\/(-14) + -8). Which is the nearest to 0.1? (a) o (b) -2\/13 (c) 1\/4 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + 69 + -1 - (981 + -976).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48658308 to the power of 1\/2, to the nearest integer?\nAnswer: 6976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5036 is divided by 128.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1726.86033 nanoseconds?\nAnswer: 0.000000000019986809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*k + 41*k - 111*k + (-9*k - 7 + 7)*(2 + 3 - 3))*(-k - 2*k + 5*k).\nAnswer: -136*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/15770338 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7833?\nAnswer: 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x. Let t(z) be the second derivative of z**4\/4 - 13*z. Determine t(g(l)).\nAnswer: 507*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4 - 3001*u**3 + 3003000*u**2 - 1003000000*u + 1000000000 = 0.\nAnswer: 1, 1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**3 - 2*l**2 + 2*l - 3. Let w(m) = m**3 + m - 1. Suppose 4*x = 2*j + 3*x + 12, 4*x = 4*j + 36. Calculate j*w(z) + i(z).\nAnswer: 3*z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16959 = 4*f - 3*f. Suppose 0 = -b + 14029 + f. Suppose -y + b = 3*a, -2*y - y + 92992 = 2*a. Round y to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - 1170\/(-21). Let s = 7 + -7. Let b be 7 + s\/((-8)\/4). Calculate the highest common factor of m and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/3)\/((b*b**(-11)*b)\/b)*b**(3\/7)\/b*b*b*b**(-1))**(5\/8) assuming b is positive.\nAnswer: b**(425\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*h**2 + 10*h**2 + 12*h**2 + 13)*(-16*h**2 - 67*h**2 - 20*h**2).\nAnswer: 206*h**4 - 1339*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*w + 15 = 0, -6*p + 1413 - 1392 = -3*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 761, 2, -0.5 in descending order.\nAnswer: 761, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -202*s - 30. Let d = -23 - -22. Let t(f) = -3*f + 1. Let j(z) = -z. Give d*t(u) + s*j(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -1 - (-9 + 31 + -35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:45 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15675, -31338, -47069, -62874, -78759?\n\"Answer: -k**3 - 28*k**2 - 15572*k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*d**4 + 92*c**3*d**3 + c**3*d**2 + 2*c**2*d - 82*c*d**2 + 11*c*d + 1936*d**3 - 84 wrt d?\nAnswer: -48*c**3*d + 552*c**3 + 11616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50b8a (base 13) to base 15.\nAnswer: 2cd6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/30 - q**4\/12 + q**3\/6 + 2*q**2. Let a be x(-2). Let r be 0\/(-1) + (0 - 2). Put a, -1, r in ascending order.\nAnswer: a, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 259*b = -257*b + 12, 8*b = 3*i - 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115\/2 - 57. What is the smallest value in 0.2, 1\/7, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1765)\/(-70) - (-6)\/21. Let n = -25 + c. What is the nearest to -2\/5 in -0.2, n, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 + g**2)*(0 + 0 - g**3) + (-1 + 1 - g**2)*(-g**3 + 3*g**3 + 0*g**3) - 9*g**5 + 19*g**5 - 21*g**5.\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + -3 + (-1 - -15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -25 + 3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67)\/201)\/((-11)\/99).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 2067*n + 2067*n + 3*n**3.\nAnswer: 3*n**3 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v - v)*(-11*v**4 + 15*v**4 - 7*v**4).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36776168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5415236.\nAnswer: 2, 1353809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12025*c**2 - 5152*c**2 - 4747*c**2 + c**2 + c**2 + 0*c**2 + (2*c - 3*c + 0*c)*(4*c + 0*c - 5*c) - 4*c**2 + 2*c**2 + 0*c**2.\nAnswer: 2127*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -155. Suppose -c + 5*c = l. Calculate the remainder when 31 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -1\/3 (c) -221 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 2. Suppose 3*h + 2*k + 0*k - 1 = 0, 0 = -4*h + 3*k + 7. Let v be f(h). Suppose 4*y - o - v*o = 431, -4*y + 413 = o. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -74, -58, -22, 40, 134?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:40 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 = 79*z + 320 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167424713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 78. What is the tens digit of q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 50*j + 8. Let m(g) = -17*g - 3. Let l(r) = 17*m(r) + 6*o(r). Let q be l(15). Suppose q = 5*w + 42. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32742118?\nAnswer: 2, 1559, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000010010020 (base 3) to base 14.\nAnswer: 1da268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 + 2211*g**2 - 4413*g + 2205 = 0.\nAnswer: 1, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 12*u**2 + 16*u + 5. Let v be r(7). Let x(z) = 28*z - 236. What are the prime factors of x(v)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 7 + 2. Suppose n*c = 4*c + 3065. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 55*z - 27. Let o be w(-28). Which is the biggest value? (a) -0.2 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*o - o + 23 = 0, -3*o = 5*q - 47 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -997\/4 - -250. Find the common denominator of d and 47\/250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -558, -0.4, 0, -2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1128 and 1552974.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 7) in base 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -103*h**2 - 15*h + 66. Let t(p) = 104*p**2 + 16*p - 79. Determine -5*t(w) - 6*y(w).\nAnswer: 98*w**2 + 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11\/2)\/(r*(r\/(r*r**(-12))*r)\/r))\/(r**12\/((r\/(r\/r**(1\/3))*r)\/r*r)) assuming r is positive.\nAnswer: r**(-175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azxaszxxal. Give prob of sequence zlsx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -0*y - 24. What is the units digit of 13*14 + (3 + -4 - y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 162 = 4*t, 0 = 5*t - 4 - 11. Which is bigger: y or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -15, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2149, 4332, 6513, 8692, 10869?\nAnswer: 13044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*t + 3, -v + 60 = 3*v + 2*t. Suppose 20*m - 15 = v*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10191637 and 2.\nAnswer: -20383274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300*z + 120*z + 1269*z**3 + 2 - 2 - 3 - 2*z**5 - 635*z**3 wrt z?\nAnswer: -40*z**3 + 3804*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - -3) + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135.01755*0.1.\nAnswer: -13.501755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Let s(f) be the second derivative of -2*f**3\/3 + 8*f. Determine m(s(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54158 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.41483 rounded to two dps?\nAnswer: -9.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 1. Let x(i) = -8*i + 5. Let z(p) = 18*g(p) + 4*x(p). What are the prime factors of z(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 7, w: 3, y: 1}. Give prob of picking 2 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*q - 0*q - 130, 5*g - 56 = -2*q. What is the greatest common divisor of 264 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + 550?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/30 + 1235\/(-25).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/25)))\/((f*f**(-16))\/f)*(f*f\/f**(-11))\/f**(-3) assuming f is positive.\nAnswer: f**(802\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 38, 52, 62, 68, 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1*z)\/z*z**(4\/9)*(z*z**(1\/23)*z)\/z*z*z**(-2\/23)\/z assuming z is positive.\nAnswer: z**(704\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -4. Let m be 4\/g + (-104)\/(-12). Let f = -5314 + 5317. Solve 2*l + 16 = f*c, m + 0 = c - 2*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*d**2*f**3 + d*f**3 - 28*d + 13*f**3 wrt d.\nAnswer: 158*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39381, -39385, -39389?\nAnswer: -39393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561246411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16294 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t - 1. Let b be x(1). Suppose b*l + 8 + 68 = -4*d, -d - 30 = 4*l. Let n = 26 + d. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 137 - -272?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2048, 40.1, 5, -0.1 in ascending order.\nAnswer: -0.1, 5, 40.1, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0 + 0)*(-2*x + x + 2*x) - 54*x**3 + 851*x - 851*x.\nAnswer: -55*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 29. Let k = f - -7. Let b = 4 - 4. What is the nearest to k in 3, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-3)*(-5)\/40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*r + 15 = -3, -2*r = -4*b - 6. Let s = 31 + b. Is 142\/7 - 8\/s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:03 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20099*x**2 - 11*x**3 - 20187*x**2 + 40286*x**2.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 2. Let v(p) = 2*p**3 + 3*p**2. Let j be v(m). Let i be 4*(-3)\/j*1. Are i and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-13)\/((-8)\/64). Suppose -t*w + 106*w = 336. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000261 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18642\/4 + 1725\/690?\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 + 2*a - 10. What is n(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:35 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 123 = -4*r, -4*m - r + 0*r + 105 = 0. Let t = m - 11. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 - (-3 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 5*r - 1. Let s(j) = -j**2 - j - 1. Let u(i) = h(i) - 5*s(i). Let l(b) = 2*b**2. Give u(l(a)).\nAnswer: 12*a**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -510, -762, -1014?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from ddaaaaaaaddad?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8454844319 take away 5828.8?\nAnswer: 8454838490.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/11, 2\/19, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46\/51 + -4\/17. Let g be 228\/16*(-1 - -5). Let v be 9\/g*(-4)\/6. What is the third biggest value in v, 0.1, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15072*a - 15070*a + 68 + 16*a**2 + 30144*a wrt a?\nAnswer: 32*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 77*j - 66*j - 5*u, 0 = -j - 48*u - 389 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -11, -22, -33, -44, -55?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 140*r + 70. Give u(35).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y - 22. Suppose 0*m - 6 = -3*m. Suppose -3*k + 2*o + 80 = 0, -4*o - 108 = -m*k - 44. What is the remainder when k is divided by q(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2671 divided by -6.\nAnswer: 2671\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/j**(-8))\/j))*j*(j*j**(5\/4))\/j)**(1\/11) assuming j is positive.\nAnswer: j**(41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1265*h**3 + 2511*h**2 + 14*h. Let g(a) = -421*a**3 + 836*a**2 + 5*a. Let s(k) = -14*g(k) + 5*v(k). What is the third derivative of s(f) wrt f?\nAnswer: -2586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 8:40 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/24 - n**3\/3 + 6*n**2. Let g = -22 + 13. Let s be x(g). Solve 3*r + s = 2*j, -r - 5*j - 38 = -13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263204*d**2*j**3 + 217*d**2*j**2 - d**2*j - 139*d*j + 92817*d - j wrt j?\nAnswer: -1579224*d**2*j + 434*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 146417?\nAnswer: 1171336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agan when four letters picked without replacement from {g: 1, a: 1, j: 2, p: 2, n: 1, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926796.\nAnswer: 2, 7, 179, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 18 + 2 = 0. Let n = -1205\/3 + 417. What is the common denominator of x and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4356591893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**4 + g**3 - 4*g**2 - 3*g - 3. Let z(h) = 9*h**4 + h**3 - 8*h**2 - 5*h - 5. Let j = -2 + -3. Let p(l) = j*x(l) + 3*z(l). What is m in p(m) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 - w**3 + 4*w + 5*w**2 - w**2 + 4*w**2 - 5*w**2. Suppose 65*l + 36 = 74*l. Let h be u(l). Is h >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220967*a**5*h + 7*a**2 - 5304*a*h wrt a.\nAnswer: -13258020*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by (-6)\/10 + 4\/60*369.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(12))\/sqrt(2))\/(-3*sqrt(8)) - (2*sqrt(300))\/(-1*sqrt(256)).\nAnswer: 13*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 20 = -0*q - 4*j, -20 = 4*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + 3*sqrt(1539).\nAnswer: -2 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 2 + -10 + 2. Solve -2 = w - k*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 1783*s - 3564*s + 1697*s to the form j + a*s and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6794 is divided by 1401.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-2 + sqrt(85))*2)\/(sqrt(45)\/sqrt(81)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 369, 742, 1117, 1494, 1873, 2254, 2637?\n\"Answer: n**2 + 370*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/5*(-90)\/(-4). Suppose -y = y + 4*i - k, -4*y + 2*i + 72 = 0. Suppose -5*g + 3*g = -y. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -25, -48, -71, -94, -117?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-72)\/(-20))\/((-5)\/(-25)) and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1\/4*m**2 + 0*m + 1\/4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -269\/50 + 72\/25. Let n = -1 + 1. Which is the second smallest value? (a) n (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(21) - sqrt(2541)*-5)\/(sqrt(27)\/(sqrt(36) - sqrt(9))).\nAnswer: -1 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1638 + 1414 = 32*f. Suppose 5*p - 6 = 14. Sort 2, p, f, -3 in decreasing order.\nAnswer: p, 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*b**2 + 1258*b**2 + 68*b**2.\nAnswer: 820*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66718 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/27 + 86\/18. Suppose -l*n + 3*b + 1 = -0*n, 3*n - 12 = -2*b. Solve -t + 7*t**n + 48 - 4*t**2 + 25*t = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/12 + (-49)\/4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2164647?\nAnswer: 8658588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 191.7126 (b) 4 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*j + 154*j + 31*j - 79*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -1\/4 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-70))\/((-1)\/(3*-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 0 - 0\/3. Let d = -30 + 81. Is d + o + (0 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -235\/3. Suppose -2 = 2*f - u, 2*f + 2 = 7*u - 3*u. Let x be f\/(-1) - (-2 - 17\/(-5)). Which is the second smallest value? (a) 1.4 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -467088, -2, 902.\nAnswer: -467088, -2, 902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 - 3*x**4 - 2*x**4)*(7931 + 9430 - 2445 + 522 + 9658 - 1787).\nAnswer: -23309*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r - 14. Let k be 32\/14 + (-4)\/r. Suppose 4 = -2*m + 4*b + k, m + 4*b - 17 = 0. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -122. Let f be i + 8\/(-48)*0. Solve -y = -f*b - 25, -5*b + 3*b - 10 = -3*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 36. Let x be (u - 3)*(-3 - (-1 - 0)). Suppose x*l + 272 - 696 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(20\/1))\/((-2)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 1, y: 4, a: 5, x: 2}. What is prob of sequence ay?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u = 16. Suppose 0 = -u*f + f + 3. Let a(c) = -12*c**2 + 5*c**2 + c**2 + 10*c**2 - f. Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and 127 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10062 less than or equal to 684311\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -588.9865?\nAnswer: 589.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - g + 9 = 0, -g + 1 = -2*i + i. Let f(z) = 14*z - 2 - 1 + 0. Let s be f(2). Solve -4*a + s = -3*j - i*j, -5 = j + 4*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11 - (-6 - (-371)\/77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d)**(29\/3)\/(d\/(d\/(d\/d**(2\/15))*d)*d*d\/d**3*d*d)*(d*(d*d**(2\/25)*d)\/d*d*d\/d**(-2\/21))**(-8) assuming d is positive.\nAnswer: d**(-10886\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/60*2\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6414\/19 + 337. Find the common denominator of -111\/10 and l.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 15*j. Let y(i) be the second derivative of -i**3\/3 - 9*i. Determine n(y(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/13)\/((-18)\/(-117)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 2*j)*(-105*j + 105*j + 15*j**4) + 53*j**5 + 0*j**3 - 2*j**3 - 66*j**5.\nAnswer: -43*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 877.764 + -883. Let n = w + 5. Let o = n - -0.29. Round o to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 81499\nAnswer: 3\/81499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10 - (-5)\/25 - 79\/(-395)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -2\/11, -1\/27, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 13, y: 1, k: 3}. What is prob of picking 1 r and 1 w?\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 4*(sqrt(68)*2 - sqrt(68))) + sqrt(68))\/(-4*sqrt(4)*4).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + 9*d**2. Let l(p) = -270*p - 3*p**3 + 270*p + 0*p**3 - 7*p**2. Let o(b) = -4*l(b) - 3*x(b). Determine m, given that o(m) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 = 3*h - 3*l, 3*h = 2*l - 861 + 2439. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a467 (base 13) in base 12?\nAnswer: -111a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:05 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.93 minus -8.826?\nAnswer: 34.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/11)*a*a\/a**(-1\/11))\/(a**(-6)\/a*a**1) assuming a is positive.\nAnswer: a**(85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280470056.\nAnswer: 2, 47, 745931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99120.\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let f(x) = -x**3 + 2*x**2 - 5*x - 9. Let c(r) = f(r) - j(r). Let d be c(-3). Which is smaller: d or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8179516 and 271728?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:42 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 6, 5, 4.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0913 + -148?\nAnswer: -147.9087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -935152\/67 + 75784595\/5762. Let s = f - -805. Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1607, 9, 1\/2, 0.02, 1, 0, -50 in increasing order.\nAnswer: -50, 0, 0.02, 1\/2, 1, 9, 1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 5:08 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32964 + 0.131.\nAnswer: -32963.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19112143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25 = -0*k - 5*f, 4*f = k - 24. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4409599641 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 222*k**2 + 517*k - 66. What are the prime factors of t(-12)?\nAnswer: 2, 3, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = n + 3, 3*n + 92*v = 87*v - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*r - 70, 6*r - 3*r = 2*t - 65. Let f = t - 52. Let o = f - -44. What is the remainder when 20 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - 20) - ((39 - 26) + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let r be u(-2). Let b = 5 - 9. Put b, 5, r in decreasing order.\nAnswer: 5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 25. Suppose f*u = 2*u + 24. Let p = u - 9. Sort 3, p, -3 in ascending order.\nAnswer: -3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2\/37 (b) -0.2 (c) 3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((7\/(-84)*-6)\/((-3)\/(-6))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.01564 + -0.44623. Round c to 3 dps.\nAnswer: 0.569","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 30*m**2 + 2*m - 1. What is the tens digit of d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/11 (b) 0.3 (c) -1035 (d) 1\/11 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 17 + 6 = 3*s, 2*s - 18 = 2*q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.3 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -459 - 1788*v**3 + 0*v**2 + v**2 + 48 + 1549*v**3 wrt v.\nAnswer: -717*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98220, -392568, -883042, -1569642, -2452368, -3531220?\n\"Answer: -98063*m**2 - 159*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745547626 + 4666.\nAnswer: 745552292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.298, -0.3, 3?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 10 = -10*k. Let c(j) = -395*j + 395*j - k*j**2. Let l(b) = -9*b**2. Determine c(l(v)).\nAnswer: -1296*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*g - 109 - 107 + 216.\nAnswer: 154*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 3396*s**2 - 1922136*s + 362642992.\nAnswer: -2*(s - 566)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {k: 2, y: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -0.13 (c) 1\/4 (d) 0.1 (e) 23 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 174596.5834 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 7) + (11 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 + 2703*i**3 - 5421*i**2 - 2703*i + 5418 = 0. What is i?\nAnswer: -903, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*128\/3072?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9625100 and 4292?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 3296?\nAnswer: 148320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 539505 or 539492?\nAnswer: 539492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 0*a**3 + 2*a**3 - 3*a + 14*a**3 - 20*a**3 + 314*a**3 + (-3*a - a + 3*a)*(-a**2 + a**2 - 2*a**2) as l + v*a**2 + m*a**3 + f*a and give m.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -178?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870 < 2869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 27*y**2 - 27*y + 29. Let n be u(26). Suppose n*q = -6*q + 27. Solve g - 5 = -q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1710*m - 1520 = 1786*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868308.6mm to kilometers.\nAnswer: 0.8683086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 7*x**6\/360 + 77*x**3\/6 - 52*x**2. Let j(v) be the first derivative of u(v). Let p(m) = 17*m**2. Give p(j(i)).\nAnswer: 833*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(12\/(-7))*132\/(-33)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 7 + 2 + 0. Let a be l(6). Suppose 0 = -a*k + 8 + 4. Solve k*b = -3*t + 10 + 9, -4*b + 29 = 5*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19089, -19108, -19163, -19272, -19453?\n\"Answer: -3*g**3 + 2*g - 19088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-90))\/(5\/(-75)*6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 - (-3 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.9955l in millilitres?\nAnswer: 667995.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1028201cm?\nAnswer: 1028.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001 (base 2) in base 10?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 35*u + 24. Calculate v(19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-34)*i)\/i*i)**(2\/13))**(-11\/3))**(-6) assuming i is positive.\nAnswer: i**(-1452\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 121049850, 121049849, 121049848, 121049847, 121049846?\n\"Answer: -b + 121049851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 25 = 4*u. Suppose u*q - 18 = 2*c, -q = -c - 3 - 0. Let w = q + 14. Calculate the greatest common factor of 27 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*u = -6, 6*d - 4*d = 3*u - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*9\/6. Let b be (-3)\/(-3 - (-3)\/o). Suppose 0*r + r = -f + b, 2*r + 5*f = -5. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 22. Let i(l) = 17*l**2. Give i(r(m)).\nAnswer: 68*m**2 + 1496*m + 8228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 4. Let x(f) = 2*f + 5. Let u(d) = 7*g(d) - 3*x(d). Give u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 + 7*q + 1. Let n be c(-5). Is 19 a factor of 0\/(-2) + 2*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.393 years to decades.\nAnswer: 11.5393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -6*r - 31. Suppose 1050 = r*p + 4*u, -15 = 3*u + 2*u. List the prime factors of p.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 359*z - 361*z + 5*l - 17, -2*l = -2*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 2*i**2 + i**3 - 2*i - 22 + 24. Let f be m(5). Let t = f + -33. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -47, -60, -79, -104, -135?\n\"Answer: -3*i**2 + 2*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169106401.\nAnswer: 281, 4160521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337 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: What is -442550322 (base 6) in base 13?\nAnswer: -1863b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/24 + t**3\/2 - 71*t**2. What is c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -47 - (160 + -81)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*x - 54 = 0, 7*f - 4*x = 2*f + 86. Suppose -5*n + f = v, v + 3*n - 9 = 1. What is the highest common factor of 28 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cscssshtpssppcsshs. Give prob of sequence sptp.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3503*l + 1083*l = 65215 - 289929 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 6. Let j be h(7). Let i be j*-3 - -1 - -5. Suppose -4*v + 5 + i = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 101111101?\nAnswer: 110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 4}. What is prob of picking 1 q and 2 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c + 6*c**3 - 2*c)*(2 + 0 - 3 + (1 - 2 + 3)*(0 - 1 + 3) + 1 - 7 + 4) + 29 + c**3 - 29)*(6 - 6 - 4*c**2) + (4*c - c - 2*c)*(-3*c**4 + c**4 + 4*c**4).\nAnswer: -26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.822 (b) 1\/14 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28637 is divided by 308.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 122904758.\nAnswer: 245809516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234*j**5 + 1097*j wrt j.\nAnswer: 4680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + y + 325 = 0. Suppose -3*a + 3 = -6*a - 3*n, -5*n = -2*a - 2. Sort -3, y, a in ascending order.\nAnswer: y, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7 - 19*m**2 - 16*m**2 - 12 + 5 in the form d*m + n*m**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*h**2 + 285*h**2 - 142*h**2 - 18*h**3.\nAnswer: -18*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let p = 0.2 - f. Let o = p + -0.4. Which is smaller: -1\/2 or o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o**2. Let x(k) = 2*k**2. Let a be 1\/3*6 + 0. Determine a*d(p) + 9*x(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by -611.\nAnswer: 74\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -3, -25, -67, -135, -235, -373, -555?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 1. Let o(j) = 3*j - 42. Let a(n) = -o(n) + 15*z(n). Let f be a(4). Suppose 4*l = f + 85. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.1. Let t = 3.4 - 3.1. Which is the closest to n? (a) -1\/9 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 7*d**2 - d - 2. Let b be z(-6). Let y = 33 + b. Suppose h - 35 = -5*f, h + y = -4. Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2430824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(171) - (sqrt(171) + -1)) + 4 + sqrt(171) - (-5*1*sqrt(171) + sqrt(171)))**2 + (1 + sqrt(171) + -1 - (sqrt(171) + -1)*-6)**2).\nAnswer: -76290 + 612*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17222398 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12) + (3 - 9\/4). Put d, 2, -3, 1 in ascending order.\nAnswer: -3, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v - 1. Let c(d) = d. Suppose 5*z - 8*z - 12 = 0. Let t = 0 - -1. Calculate t*n(y) + z*c(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - j**4 + 3*j + 0*j**4 + 3*j**3)*(18 - 3*j - 18).\nAnswer: -3*j**5 - 9*j**4 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1776 + 9453 = 0. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -22 (c) 0.2 (d) 3154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/69, -2\/3, 0.1 in descending order.\nAnswer: 0.1, -2\/69, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462 divided by 66.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawbaubhzbw. What is prob of sequence uwb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*x - 10, 1507*x - 18 = 4*i + 1502*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1605 + -1604.9999095. What is y rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-8 - (-4 - 8) - -24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*m + 155*m + 22*m**2 + 135*m.\nAnswer: 22*m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622970*x - 8*x**2 - 622970*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-7 - (5 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + 1. Let f be 0 - ((-4)\/m + -3). Which is bigger: f or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47909*y**3 - 25*y + 47906*y**3 + 24*y.\nAnswer: -3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4683 and 27206?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = 2*i + 2, -5*i = 10. Let q(p) = -34*p + 172. Let a be q(38). Let u = 1121 + a. Sort c, 6, -3, u in decreasing order.\nAnswer: 6, u, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t + t)*(-2 - 3 + 2) - 11*t + 3*t - 8*t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147113.665 less than -66.9?\nAnswer: -3147180.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c - 12. Let n(f) = -f**3 - f**2 + 1. Let p(k) = -4*k**3 + 2*k**2 - 3*k + 1. Let y(v) = -5*n(v) + p(v). What is the units digit of y(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800 = 469*h + 3353 + 5951 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:08 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5040 - -5052.4. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27577642 divided by 4.\nAnswer: 13788821\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 984*i + 41. Let g(y) = -123*y - 5. Determine -41*g(q) - 5*n(q).\nAnswer: 123*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171150)\/11410)\/(-2*6\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1183885\/388 + 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/2))\/j*j\/j**(-43) assuming j is positive.\nAnswer: j**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 8 + -7 + (1 - 9) - 12) + 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1190 and 74\/76449.\nAnswer: 5351430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 97 = -15. Let u = 971 - 1051. Let k = u + n. Solve 0*j + 6 = k*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 72 = -3*w, j - 5*w + 22 = 3*j. Solve 4*c - j = -5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*3147.\nAnswer: 1888.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -697*z**5 + 2068*z**4 - 1013*z**2 + 41*z - 2.\nAnswer: -41820*z**2 + 49632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 2*d**2 + d. Let v be k(-1). Let i = -17 + 19. Suppose 0*s = -v*s + i. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = h - 5*y, 0*h - 3*y = -h + 10. Let r be (4\/2*h\/(-8))\/1. Let b be r*(-60)\/14 - (-2)\/(-7). Solve 0 = 2*q - 5*n - 13, b*q - 4*n = 7*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7702 and 79657935?\nAnswer: 3851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -36 + (-6)\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 + 3774*i**3 - 76317*i**2 + 463284*i - 805140 = 0. Calculate i.\nAnswer: -1278, 3, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005918 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c*c**(-3))\/((c*c**(1\/7)*c)\/c**(1\/5)))**(-32) assuming c is positive.\nAnswer: c**(-1184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v = -883*v - 7600 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbitbobt. Give prob of picking 2 b, 1 o, and 1 i.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 0)*(g**3 + 10*g**3 - 9*g**3) + (0*g**2 - 2*g**2 + g**2)*(3*g + 4*g - 5*g) to the form h*g**3 + o*g + v*g**2 + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 2*r - 4*r - 6*r + 6. Let k be q(-3). Suppose 4*w = w + k. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 1234*m - 3683. Determine d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 2424.42\nAnswer: 31517.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 49. Suppose -5*q = 2*z - a, -34 + 9 = -5*q. Solve 4*s - 7 = -5*p, 5*p + 4 = -s + z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34301.\nAnswer: 34301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k = -15, 2*k + 2 = -4*v. Which is the nearest to -0.2? (a) -4\/5 (b) v (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3))**(-16)\/(s**(-12)\/s*(s\/(s**9*s*s))\/s*s) assuming s is positive.\nAnswer: s**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t**2 - 15*t - 2. Let q(d) = -16*d**2 + 14*d + 3. Let v(g) = 6*i(g) + 7*q(g). Calculate v(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956875627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 8 - 17 - -5) + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/42 + 3\/(-9). Suppose p - 4*p = 0. Suppose p*s - 2 = -s. Which is the closest to 0? (a) s (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:52 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 + (-5 - -7) - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15107, 14391, 13655, 12887, 12075?\nAnswer: 11207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*k + 102, -5*k + 272 = 5*m - 4*m. Let x = -30 + k. Suppose 2*i - x = 2. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 11. Let q(u) = u**2 - 6*u - 5. Let l be q(a). Suppose -1 = -h + l. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:33 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25 + (-4 - -4) + 0. Let d be p\/10*1317\/(-75). Let j = -44 + d. Which is the biggest value? (a) -15 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 3*t**2 - 4*t. Suppose 3 = 3*v, 3*f + 3*v = 5*f - 1. Suppose -24 = -3*o - 2*c + 5*c, 4*c = f*o - 24. Calculate s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/(10\/25). Solve 4 = 4*c + 3*l - 7, -x*c + 7 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**4*x - 1202*l**2*x + 3765*x - 6 with respect to l.\nAnswer: -16*l**3*x - 2404*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6500*q**4*x**2 - 2*q**4 - 977*q**2 - 101*x**2 wrt q?\nAnswer: -156000*q*x**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6601*n + 6*n**2 - 3*n**2 - 2079*n - 8962*n.\nAnswer: 3*n**2 - 17642*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezez when four letters picked without replacement from wzzezzzzzezwzzw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/210587 and 26\/145791.\nAnswer: 1895283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v - 2. Let h(o) = 5*o - 1. What is -3*f(g) + 7*h(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -2 - 2\/5*u + 1\/5*u**2 - 4\/25*u**5 - 1\/10*u**4 + 2\/5*u**3. Solve f(o) = 0 for o.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:02 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2205, 4504, 6895, 9378, 11953?\nAnswer: 14620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 8\/37 (c) 20 (d) -14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnpkknknnkn. Give prob of picking 3 k and 1 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 0.8. Let w = -0.99 - -1. Let y = 0.99 + w. Which is the biggest value? (a) 5 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muulkjjuku. Give prob of sequence juk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(1*sqrt(11)) + sqrt(76)\/sqrt(144).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1177712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -365 - -369. What is the smallest value in 9.1, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*i - 13 - 327*i + 124*i - 436*i in the form o + f*i and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 2*r - 10 = 21*j, -r + 5 = -j. Suppose -n + 85 = 4*d - j*n, -d = 4*n - 40. What is the remainder when 197 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 74395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(539) + 1 + 2 + sqrt(11))**2.\nAnswer: 112*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*n = 32, -67*m + 70*m - 102 = 3*n. Solve 5*y - m*y - 240 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1216) + 1 + sqrt(1216) - (sqrt(1216) - (sqrt(1216) + sqrt(1216)*-2*3))) + 0)*1.\nAnswer: -32*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(320) + 0) - (2*sqrt(320) + 3)**2) + ((sqrt(320) - (1*sqrt(320) + -5)) + sqrt(320) + -4*(-1 + sqrt(320)))**2.\nAnswer: -512*sqrt(5) + 1672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4.6. Let g = q - 1.1. Let n = -6 - -6. Which is the second smallest value? (a) 2\/7 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (15 - (-12 + 21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 402 - 165. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3276 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.45 + -22.45. Let s = 20 + o. What is the third biggest value in -5, s, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/5 (b) -2 (c) -2\/15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878196 is divided by 7910?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, c: 1, n: 6}. What is prob of sequence jcj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10 + 16 - 2 + z - 4 - 5. Determine o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/270208 and -101\/94.\nAnswer: 12699776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 divided by -20?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 44. Suppose -2*h = -p*m - 4*h - 1543596, 4*m + 1543602 = h. Round m to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12481791 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 3. Let t be x(0). Suppose -11 + 2 = -t*v. Suppose -4*c + 119 = -0*g + g, v*c + 238 = 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -32. Factor 36*z**2 - 7 - l*z**2 + 5 + 6 - 6*z.\nAnswer: 2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 501, 1003, 1505, 2007, 2509, 3011?\n\"Answer: 502*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 plus -44?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 3*s**2 - 4*s + 2. What is y(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n = -69*n - 44*n + 300. Solve 7 = -11*c + 9*c + 3*u, -n*u = -2*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 74 (b) -0.7 (c) 0 (d) -7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*w + 12, -67*w + 66*w = i - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) -3\/2 (c) 1.14 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05 (b) 2 (c) -0.23 (d) -14 (e) 12 (f) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from ccvc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2700300.9 to the nearest one thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/17 - 809836*m**2\/17 = 0.\nAnswer: 0, 404918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 28*l - 2. Let v(o) = 16*o**2 - 434*o + 31. Let q(d) = 93*i(d) + 6*v(d). Let r(z) = 27*z**2 - 14. Give q(r(j)).\nAnswer: 2187*j**4 - 2268*j**2 + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -3440*g + 3424*g. What is the remainder when 3947 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51.215 and -206.\nAnswer: 10550.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**2\/2 + 3*m - 1. Let l be (-1)\/(-2)*11\/(33\/(-30)). Let c(r) = 3*r + 10. Let n be c(l). Determine w(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = 4*x, -k = 2*k - 6. Let h(q) = 2*q - 5. Let n(j) be the third derivative of j**4\/24 - j**3\/3 - 26*j**2. Calculate x*h(t) - 8*n(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (426672\/(-4))\/(-6) + 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, -3, -4\/311, -3751 in ascending order.\nAnswer: -3751, -3, -2, -1, -4\/311, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326 or 2?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8762, -17595, -26468, -35393, -44382, -53447, -62600?\nAnswer: -71853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 449992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2662170 and 1549380?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 81\/4. What is the nearest to f in -0.3, 1, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + j + 47, 3*c - 36*j + 41*j = -37 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13346521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 79*w**2 + 4*w - 3. Let p(v) = 26*v**2 + v - 1. Let s(t) = 2*o(t) - 7*p(t). Determine s(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 1. Let z(s) = 3*s**2 - 5*s - 1. Let l(j) = -j**3 + j**2 - j + 1. Let v be l(0). Let u(c) = v*z(c) + 2*p(c). Determine u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(40)\/(sqrt(288) + sqrt(288) + 1*sqrt(288)) + -3 - (sqrt(240)\/(sqrt(12)\/sqrt(3)))\/(sqrt(144)\/(1*sqrt(12))).\nAnswer: -8 - 17*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 937412660 rounded to the nearest one hundred thousand?\nAnswer: 937400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173324 is divided by 332.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y + 2 + 2*y + (-y + 2*y - 3*y)*(-38 + 4 - 10).\nAnswer: 89*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14 + 2*u**2 - u**2 - 12*u - 32. Let k be p(14). Let v be ((-91)\/(-18))\/7 - k\/45. Which is the biggest value? (a) -4 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -1\/214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7405 divided by 8616.\nAnswer: 7405\/8616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -31729.08 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 2.7, -19?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q - 223. Let t be a(-25). Let i be (0\/1)\/(t\/2). Solve -u - 9 = -3*s, -5*s + i*s = -u - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -214501103?\nAnswer: -214501111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92466 is divided by 23087.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6615 = 95*p + 3575 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0185062 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2.2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 3*y - 4*y. Suppose -s - 74 = -3*r + s, 3*r = 3*s + y. Calculate the remainder when 142 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7525 divided by 5\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.04 + -4. Let u = i + -0.26. Let a = u + -0.68. Round a to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + 3.58. Which is the nearest to -4? (a) -4 (b) i (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-90)*(-6)\/(-215).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fke when three letters picked without replacement from {f: 4, e: 3, i: 3, k: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2.2, 1, 2\/3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 17*v + 20 = 15*v, -2*v - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4004 - 4004.0014727. Round v to 5 dps.\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-1\/5)\/(u**(-3\/10)*u**(-1\/3)*u) assuming u is positive.\nAnswer: u**(-43\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 - -7 - 5 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**2 - 121*x - 155. What is the thousands digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**2 - 4*u - 4. Determine q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1056 and 23\/1440.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 11*n + 11. Calculate y(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r**3 + 229 - 99326*r**2 + 99326*r**2 - 229.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10895 + -2?\nAnswer: -10897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2976, -15, 0.01, 0.6?\nAnswer: 2976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/60 - c**3\/3 + c**2\/2 - 6*c. Let l(d) be the first derivative of r(d). Determine l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85330 is divided by 7682.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.7 (b) -2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 85256991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 60*o - 444 = 27*o, -5*o + 53 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, 321, 1611, 4229, 8643, 15321?\nAnswer: 24731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3 + (3 - 3 + 2)*(2 + 1 + 0) - 7 + 2 - 7)*(5*l**3 + 6*l**3 - 4*l**3) to the form z*l**3 + h*l**2 + q + n*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let p(z) = -7*z - 7. Suppose -1 = 25*u - 26. Let c = -11 - -17. Let r(k) = c*o(k) + u*p(k). Give r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -634 - -638. Suppose -2*z + 30 = -2. Suppose 2*o - 20 = 5*h, z = -0*o + 4*o + 2*h. Sort g, 3, o.\nAnswer: 3, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8648 - -8692 - (-1 - -36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732219.9nm to kilometers.\nAnswer: 0.0000007322199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 931088, 1862367, 2794030, 3726269, 4659276, 5593243?\nAnswer: 6528362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2674461 - 8.68.\nAnswer: -2674469.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/65? (a) -0.2 (b) 87\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, 3\/31, -1\/7, 0.5?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k**2 + k - 4. Let c(l) = -6*l + 85. Let b be c(15). Let n be t(b). Is n smaller than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-8 - -7) - -6 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n + 17. Let z(o) = 5*o - 6. Let j = 60 + -71. Let b(r) = j*z(r) - 4*u(r). Let i be (-6)\/(-30) + 16\/20. Determine b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-161)\/(-8) - 2\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 2*p**2 - 2*p - 1. What is a(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66307, -132612, -198917, -265222?\n\"Answer: -66305*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a. Let m = -61 - 111. Let s = -154 - m. Let b(g) = 45*g. Calculate s*d(x) + 5*b(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 20 + -18 + 3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 36. Let i = 5 - c. Find the common denominator of 14\/(-4) + (i - -2) and 63\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**4\/24 + u**2. Let w(r) = -r**3 - 4*r**2 + 5*r + 3. Let a be w(-5). Let i(o) = -a*o**2 + 0*o**2 + o**2. Determine j(i(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 4*h - 3*h + 7*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + p = -2*p + 86, 2*p + 498 = 5*u. Suppose -2*t + 5*s = -18 - 10, -5*s + 28 = 2*t. What is the greatest common divisor of u and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308156178 by 6.\nAnswer: 51359363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4608)*2 - sqrt(4608))*-1)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {t: 3, v: 1, b: 2, m: 1, s: 1, y: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -980.\nAnswer: 3\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/((-20)\/(-25)))\/((-1)\/(-2)). Is -1*(q*25 - (-3 - 2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, -9, 3331.7 in ascending order.\nAnswer: -9, 159, 3331.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.111 - 0.211. Let f = 6 + -5.7. Let h = 20 - 24. What is the nearest to b in h, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*t + 1960 = 4*t, -4*t - 2000 = -2*u. Suppose 2*h + 5*a + 4230 = 0, -h - 4*a - 729 - 1389 = 0. Let k = u - h. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 4 (c) -3 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + -2*sqrt(800))\/(sqrt(60)\/sqrt(24)))**2 + 5.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1118*z + 12292. What is s(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Calculate the smallest common multiple of 6 and (4 - r)*(-2)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653.461s in minutes?\nAnswer: 44.22435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29896618 to the power of 1\/2, to the nearest integer?\nAnswer: 5468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 0, -5 in descending order.\nAnswer: 10, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 8*r**2 + 13*r - 7. Let x be i(-10). Let k be (-2)\/(-7) - x\/49. Which is the nearest to 3? (a) 0.2 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13437 is divided by 383?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -229, -404, -579?\n\"Answer: -175*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*w = 316, 2*l + 5*w + 147 + 18 = 0. Suppose -m - 10 = -4*v, 2*m - 20 = -2*m - 4*v. Let o be l\/(-6) + m\/(-6). Solve -7 - o = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(14*(-7)\/(-294)*(-3)\/(-7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70065794983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 + 2*v + 3. Calculate q(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10763951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 e when four letters picked without replacement from knevpvnp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-2\/5)\/(p**17*p**(-14)) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -616 divided by 2\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-123858)\/(-353880))\/((-14)\/(-384)).\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-7\/5)*l))\/(l**1\/l) assuming l is positive.\nAnswer: l**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.4. Put -0.05, m, 4\/5 in decreasing order.\nAnswer: 4\/5, -0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(2772\/(-22))*(-6)\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16876138 divided by 2?\nAnswer: -8438069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 125*w**2 + 371*w + 548. Determine a(-122).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 2. Suppose h + 3 = -2*p, -5*h + 7 = -k*p - 4. Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -800356 - -800356.3139978. Let t = c + -0.314. Round t to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 449 + -439. Calculate the greatest common divisor of c and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8058936 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 0*w**3 + 0*w**3 - 2*w**3 - w**3 + w**3 - 2*w**3 + 2*w**3 - w**3 + (-3*w**2 - 3*w**2 + 3*w**2)*(-3 + 3 - 2*w) - 161*w**2 + 28*w**3 + 161*w**2.\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*j - 304*j + 3050 = 243*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 140\/27683423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -41*j**3 - 2*j + 1. Let l be x(1). Let v = 40 + l. Let k be (0 - 28\/35)\/(v\/20). Solve u - k = 2*c, 2*c + 10 + 4 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 - 148*c + 2056\/7.\nAnswer: 4*(c - 257)*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*i + 0*i**3 + 0 + 3*i**2 + 0 - i**3 + 2*i**2 as w*i + n + p*i**3 + v*i**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, z: 2, c: 4, o: 2, y: 1}. What is prob of picking 1 o, 1 s, and 2 c?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/2 + 41*g**3\/3 - 2*g**2 - 4*g. What are the prime factors of n(11)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7 and 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -110, -151, -192, -233, -274?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36602 - -36602. Let c(p) be the second derivative of 0*p**3 - 19\/2*p**2 - 45*p + k + 2*p**5 + 0*p**4. Differentiate c(b) wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7628 is divided by 205?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683704 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(832))**2 + -2)*2 + -1.\nAnswer: 39911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253874 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20796281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057441 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1572456 = -14*a + 1572806 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u - 3. What is the remainder when 81 is divided by k(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5174043.\nAnswer: 3, 7, 37, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14616 is divided by 14277.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -54. Calculate the highest common factor of d and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 506 - 344 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-36))\/(32\/(-144))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 10. Suppose 9*f + 114 - 357 = 0. Calculate the remainder when f is divided by y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:32 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 3, r: 2, u: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 + o**3\/6 - o**2\/2 - 2*o. Let s be n(0). Let j be 10\/(2 + 1 + s). Solve -j*m = -2*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47366409 is divided by 319.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 19*b - 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) 0.5 (c) -2\/597 (d) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/12 + c**3\/2 + 8*c**2 + 33*c. What are the prime factors of g(-10)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 122, 393, 908, 1745, 2982, 4697, 6968?\nAnswer: 9873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/150 and 26\/3.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 - 8034*q**2 - 501832*q - 971520 = 0. Calculate q.\nAnswer: -60, -2, 8096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i - 87*i = 4*r - 32, 0 = -5*r - 3*i + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, -3\/8, 12\/13, 1\/6, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/19 (b) 1\/15 (c) 0.8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4834505?\nAnswer: 5, 13, 74377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5902.715l in millilitres?\nAnswer: 5902715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -154?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/((-39)\/(-130))*-6. Let u = -17 - b. Suppose 2*v - 3 = -3*m - 7, 5*m + 6 = -u*v. What is the smallest value in 11, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -41. Suppose -10*o + 6*o = -s. Suppose -4*b + 0*b = -4*u - 28, -3 = -3*u - 5*b. Put 2, 1, o, u in increasing order.\nAnswer: u, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-4)*p)*p*p*p**(3\/5)*p)**(-8) assuming p is positive.\nAnswer: p**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -535?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + -88 + 135 - 13.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 12. Let n(p) = -2*p - 15. Let q be n(w). Let d(o) = o - 1. Let c be d(q). Is -11\/2 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c - 2 = -42*c + 5*f, 4*c - 8*f - 24 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 + 36*h**2 + 28*h - 54. Give g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-12) - -2*(-23)\/(-6) - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 2. Calculate q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445*24210.\nAnswer: -10773450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13217, -26347, -39357, -52247, -65017?\n\"Answer: 60*y**2 - 13310*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, b: 1, y: 2}. Give prob of picking 1 t and 1 y.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/240369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 20. Solve t = -3*s - 2*s + 3*m + 25, -m = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 <= 8662719\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10754?\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-18.27781.\nAnswer: -73.11124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 - 2) + 3\/3. What is the first derivative of -6 - 4 - p*m - 3 + 3 wrt m?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -1\/4*x**4 + 0 + x**2 + x + 0*x**3. Differentiate k(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - o**2 - o + 1. Let m(a) = 5*a**3 + 5*a**2 - 6*a. Determine m(x) + 3*u(x).\nAnswer: 2*x**3 + 2*x**2 - 9*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -8.6. Let i = 8.9 - r. Suppose -2*a + 5 = 5*k - 19, 22 = 4*k + 3*a. What is the closest to i in 2, k, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 3389*x**2 - 6085*x - 632. What is z(-676)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (4 + (32 - 54))) + -77?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let f(t) = -15315352*t - 7. Calculate b(f(j)).\nAnswer: 30630704*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 2, k: 1, d: 1, t: 2, l: 1}. Give prob of picking 1 k and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 1011\nAnswer: 50\/1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729375 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177154 - 399988 - 13935 = 6948*y + 312123 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 891358 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, i: 2, x: 3}. Give prob of picking 1 q and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aybaaabhhhd. Give prob of sequence aa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 0*g**2 + 246608889*g - 246608889*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5805*g + 1450*g + 1440*g + 1442*g + 1452*g.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:34 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -5 (c) -493 (d) -2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -59*j - 63. What is p(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w - 13*w**2 + 29*w**2 - 9*w**2 + w. Let m be x(1). Solve u - 5*l - 10 = -4, 4*l = -m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k + 1. Let w(x) = 3*x**2 + 10*x + 7. Let y(j) = -4*r(j) + w(j). Let h be y(13). Let d be ((-7)\/(-28))\/(1\/h). Solve d*m = -m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-209)\/(-6695201)) + 26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199828 divided by -2.\nAnswer: 99914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22110101 (base 3) to base 14.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - ((-1 - -3 - -5) + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + (-6 - 35 - -24) + 56.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014637 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhwwivwj. Give prob of sequence hv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14292.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182550\/7 + 26082. Let 3\/7*q**2 + 12\/7 - 15\/7*q**4 + d*q - 3*q**3 - 3\/7*q**5 = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*j + 1. Let g(a) be the second derivative of 1\/21*a**4 + 0*a**j + 1\/14*a**5 + 0 + 0*a**3 - 1\/15*a**6 - a. Factor g(k).\nAnswer: -2*k**2*(k - 1)*(7*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6479\/3990 + -4 + 24\/10.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 17*u**2 + 18*u - 2. Let t be d(-18). Let y be ((-75)\/10)\/(t\/12). Does 6 divide 1\/(1 - y\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let n be (6\/2)\/(m\/(-4)). Which is the biggest value? (a) 2 (b) -2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237512.439878 - -237604.44. Let b = h + -92. Round b to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2\/3 (c) 8.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) -83 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 7?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11 (b) -4 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + b - 0 - 3, -16 = -f - 3*b. Let h be f\/(33\/(-15) + 2). Let y = h + 8. Solve 2*m - 4*q - 26 = -0*q, y*q + 27 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2 - x - 1. Let b be (48\/(-20) + 2)*(8 - 13). Let g be u(b). Solve -15 = 5*m - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 130*r - 50. Let l be (54\/(-30))\/((-3)\/25). Let q be j(l). Round q to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*r + 22132 + 38235, 4*r - 60359 = -5*k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1103\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282507, 564986, 847423, 1129800, 1412099, 1694302, 1976391, 2258348?\nAnswer: 2540155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/20*-5)\/(1\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 3*u. Suppose -5*x - u = 4*q, 0 = -x + 4*q - 6 - 4. Suppose -3*d = d + 4. Put x, 4, d in ascending order.\nAnswer: x, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13*-1 + 1584\/858.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**5\/20 + 2*u**4\/3 + u**3 + 4*u**2 - 2*u - 11. Is b(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 2, 13, 28?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 + p**4 - 2*p**3)*(4578 - 3076 - 4457 + 11689 + 10853) to b*p + n*p**4 + q + m*p**3 + s*p**2 and give n.\nAnswer: 19587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8343278 and 620.\nAnswer: 83432780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056714963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 7 (c) -681 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/161 - (-8)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from eeoehhooeqef.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 4*n**6\/15 - 13*n**3\/3 + 12*n - 14. Let q(u) be the first derivative of o(u). What is the second derivative of q(l) wrt l?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 57596607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2523, 4667, 6815, 8967, 11123, 13283?\n\"Answer: 2*y**2 + 2138*y + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 48052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 106 = -10. Is 5 a factor of 126\/4 - 48\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose c*x = -x + 44. Calculate the least common multiple of (-2)\/(5\/(-30)*3) and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3130031320 (base 4) to base 10\nAnswer: 902008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, i: 2, v: 5}. What is prob of sequence vpp?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 730323.4? (a) 3 (b) 1\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhtpjhmwthwh. Give prob of sequence mj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 4*g)*(-6*g**2 + 2*g**2 + 2*g**2) - 2*g**3 + 6*g**3 - 2*g**3 + (-2*g + 2*g - 2*g)*(9*g**2 + 47*g - 47*g).\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 - 747\/4. Let g = -184 + 179. Which is the nearest to 1\/4? (a) s (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (15 - 1) - (3 + -1 + 4)) + 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.27 + -0.63. What is the second biggest value in a, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5682, -45492, -153548, -363972, -710886?\n\"Answer: -5687*o**3 - o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 40118*v + 200737. Calculate q(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 390144 smaller than 390140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g. Let z(s) = -s**2 - 2*s**2 - s**2. Let w(d) = 9*d**2. Let q(o) = -2*w(o) - 5*z(o). Give q(a(f)).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d2e2d - -4?\nAnswer: -1d2e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*-40\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 - 6*w. Let h be f(5). Let a be 2\/5 - (-73)\/5. Let j = h + a. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.47 + -150.47. Let s = a - -146.99999842. Round s to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866219670 to the nearest integer?\nAnswer: 29432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -0.50152, -0.5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2893, -6340, -9799, -13276, -16777, -20308, -23875?\nAnswer: -27484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8072 rounded to 1 decimal place?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109561 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 11*o**2 - 11 + 7 - 4*o**2 in the form z*o + d*o**2 + f and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**0*w*w*w*w*w*w)\/(w*w**(-9\/2)*w))\/(w**(2\/5)*w)**(-2\/19) assuming w is positive.\nAnswer: w**(2213\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, l: 8}. Give prob of picking 1 l and 1 n.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6410*k - 24104 = 384*k. Let x(o) = -o**3 - o**2. Let y be x(0). Let j be (y\/(-1))\/((-4)\/2). Solve j*w = w - k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 277*b**3 + 8*b**2 + 221. Let g(h) = -1384*h**3 - 45*h**2 - 1106. Let y(l) = -2*g(l) - 11*n(l). Find the third derivative of y(m) wrt m.\nAnswer: -1674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12592 is divided by 524?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22035 and 390.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.38?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 3*r - 7. Calculate o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -40. Solve -j*b - 20 = -0*l - 5*l, -20 = 5*l + 4*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {p: 1, y: 5, q: 4, j: 1, e: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t + 14. Let v(s) = -2*s - 2*s - 4 - 7 - 4*s. Calculate the remainder when v(-8) is divided by b(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 7*a**5\/10 + 7*a**4\/4 - 148*a. What is the third derivative of k(x) wrt x?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6101849.\nAnswer: 13, 131, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6338346 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1400 and 87500.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 + -257.9869. Round g to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(64)*-1 + sqrt(64) + sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)\/(4*sqrt(8)))**2 - sqrt(13)) + sqrt(117)\/(-2*sqrt(9)) + -1)*-1.\nAnswer: 3\/16 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 5*h = -350. Solve q = 2*o + 14, 2*q + h = 7*q - o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 18 = y + 5*s, 0 = 3*y + 2*s + 2. Suppose -2*l = -4*x + 6, -6 = -l - y*x - 1. Let t be (-2)\/(-6)*(1 - l). Solve -h - h - 2 = t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69655 is divided by 430?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -7*d**3\/6 - 3*d**2 + 9*d. Let g(z) = 6*z + 5. What is 5*g(i) + 4*y(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + k = -3*b + 37, -4*b + 5*k + 67 = 0. Let u = -13 + b. Suppose -u*q + q = -40. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -31*v. Let w(m) = m. Determine 4*w(b) + y(b).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 296*g**5 + 79*g**5 + 119*g**5 + 2*g**5 - 4*g**3 + 4*g**3 + (-3 - g**4 + 3)*(-2 + 2 - 2*g) + 0*g**5 + g**5 - 2*g**5.\nAnswer: 497*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, -0.2, 1\/5, 3 in decreasing order.\nAnswer: 16, 3, 1\/5, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2844.97089 to the nearest 10.\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3893*h + 42840. What is u(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k = 50*k + 6. Put k, -44, 3 in increasing order.\nAnswer: -44, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:02 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 5617*r - 28119. What is q(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2523, 5971, 9419?\nAnswer: 12867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuvc when four letters picked without replacement from ujvjcjuuvvuuucv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 748 + 656 = -4*g, 0*g - 4*g = -5*v - 116 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11550)\/(-200))\/((-6)\/(-88)). Let d = -509 + r. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, o: 4, t: 1, z: 1, h: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89254.51 hours to microseconds.\nAnswer: 321316236000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = -5. Differentiate -u - 3 + 12 - 2*q**3 with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 + 7*h + 7. Let d = 4 + -2. Let f be d\/10 + (-14)\/(-5). Let c(n) = 2*n**3 - 3*n - 3. Give f*j(m) + 7*c(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1171835, -2343004, -3514173, -4685342, -5856511?\n\"Answer: -1171169*f - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + 4 + sqrt(108) + 1)*5 - (1*(2 + sqrt(108)) - (5 + -1 + sqrt(108) + sqrt(108) - sqrt(108)))) + 3)**2*-6.\nAnswer: -70200 - 21600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 3*u**2 + 0*u**2 + 6*u**2. Let n be r(1). Let q be (3 + 2 - 0)\/n. Solve -q*g = -3*f - 14, -5 = -g - 2*f + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/((690\/184)\/(-5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 787 - 773. Solve d + y = 0, 0 = 2*d - 6*d + 3*y + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, s: 5}. What is prob of sequence ss?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -27017863.\nAnswer: -270178630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 + -254. Solve -20 + 52 = -k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -91. Suppose 36 = -5*z - z. What is the tens digit of i\/z + (-560)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:51 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5787 - 5391. What is the highest common divisor of x and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjojzzozjz. Give prob of sequence jzoj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1323)\/98*4\/(-9). Solve n = -40*f + 46*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-8)\/(-168)*24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w**4 - 5*w**2 - 22*w + 5. Let h(s) = -9*s**4 + 3*s**2 + 11*s - 3. Let j(c) = -5*h(c) - 3*u(c). Find the second derivative of j(l) wrt l.\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, -1\/5, -1\/2, 0.87?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**2 - 8*i**2 + 2*i**2)*(0*i + 0*i + i) + (i**3 - 7*i**3 + 2*i**3)*(-5 + 1 + 2) + i**3 - i**3 + 2*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - d - d - 1 + 1 - d + (-d + 0*d - d)*(1 - 1 + 2) + d - 3*d + d + (-4*d + 0*d + d)*(-6 + 1 + 3) in the form u + i*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-28))\/(-45*(-86)\/(-1505))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-4)\/(-50))\/(22\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + (-3 - (-8 - -3) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-35))\/(-2)*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000274623181 rounded to six decimal places?\nAnswer: 0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12*i - 19 = 8*i, -5*h + 53 = -i. Let d(j) = j**3 - 12*j**2 + 12*j - 9. Let s be d(h). What is the biggest value in 4, s, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18769848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 1 + -3)\/(6\/50). Suppose 3*q - 15 = -8*o + 4*o, -5*q = 5*o - v. Sort o, -5, 5 in increasing order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -7.215 (c) -12.6 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -821*b*q*z - 2*b*z - 52887*b - 51*q*z wrt q?\nAnswer: -821*b*z - 51*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*b = 26, -b - 2 + 1 = z. Suppose -2*a = -3*a + z. Suppose -4*w + 83 + 13 = a*q, -5*q + w = -108. Calculate the least common multiple of q and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -79. Let m(i) = a*i**2 + 0*i**2 - 2053*i + 2048*i. Let d(q) = -2*q**2 + 6*q. Determine -2*d(h) - 3*m(h).\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oao when three letters picked without replacement from aaooooooooooaooaoo?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 k, and 1 h when four letters picked without replacement from khjhvwwhhjhkvvkvh.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4798 + 6526. What is the least common multiple of f and 594?\nAnswer: 19008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0*y - 4. Let d(b) = -5*b + 4 - y + b**2 + 2. What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -28. Suppose f*i - 120 = -0*i. Let r be ((-1)\/(-4))\/((25\/i)\/5). Solve z + r = 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -161. Let r be -3 + -8 + 6 + c. Let n be ((-3)\/(-2))\/(2\/4). Sort 4, r, n.\nAnswer: r, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3451505 (base 6) to base 7\nAnswer: 1340546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*w - 4*a + 350, -145 = w - a. Let m = w - -727\/5. What is o in -8\/5*o - 8\/5 - m*o**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1472 + -234.6392. Let p = q + 231. Round p to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7348632 divided by 4.\nAnswer: -1837158","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: 294\/(-63)*(-9)\/6 + 6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkyxkxkjkx. What is prob of picking 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1022 and 10476.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/21)\/(n\/(n*n\/n**(3\/11))))\/((n*n\/((n\/((n\/(n*n**(-37)*n))\/n)*n)\/n))\/n*n)**(-9\/8) assuming n is positive.\nAnswer: n**(19135\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86148534 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 31121763978457\nAnswer: -31121763978456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (231\/6 - -2). Let a = -38 - p. Suppose 0 = -q + 5*z - 12 + 52, 0 = a*q - z - 125. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 454222677?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/4 - 6684*s**2 + 53424*s.\nAnswer: 3*s*(s - 8904)*(s - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -8619*c + 8623*c + 34, 4*c + 24*w = -88 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*g**2 - 2044*g**2 + 1018*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2561, 2, 4, -1 in ascending order.\nAnswer: -1, 2, 4, 2561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s + 2, -3*s - 142 = -4*g. Suppose 5*y - 2*y = 5*f - g, 3*f + y - 11 = 0. Put 3, f, -4, 4 in ascending order.\nAnswer: -4, 3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 7. Suppose 2*f + 2 = f. Calculate the smallest common multiple of f\/4 - (-21)\/2 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 + 24*f**4 - 20*f**3 = 0 for f.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + 77551\/5 + 2\/(-10).\nAnswer: 2, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x + 2558 - 2485 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.8501mg in micrograms?\nAnswer: 752850.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r + 4. Let o be y(7). Suppose o*l - 30 = 14. Let s = 18 - l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28341.13 years in decades?\nAnswer: 2834.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l. Let q(g) = g - 2. Let o be q(4). Let c(d) = -4*d**o + 1603*d - 24*d**2 - 1603*d. Give w(c(z)).\nAnswer: 168*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 6)\/(-7 - -5). Suppose 0 = -4*r + p*r + 114. Calculate the greatest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -738, -1852, -3364, -5274, -7582, -10288, -13392?\n\"Answer: -199*r**2 - 517*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*p**4 - p**3 + 711*p**2 - 19573882.\nAnswer: -408*p**3 - 3*p**2 + 1422*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 174 (c) -8\/11 (d) 0.3 (e) -62 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 224222 (base 6) to base 13\nAnswer: 88ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-12) - (-2652)\/1989) + (-3406)\/284.\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 4*a + 210. Let p be (-15)\/2*a\/3. What is the greatest common divisor of 175 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 208389.3 and -7566.6.\nAnswer: 200822.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/10)\/9*(-125)\/2100*-14.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8238518959?\nAnswer: 11, 19, 1597, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.7 + 8.3. Let w = 134 - x. Let j be (-3)\/(-2)*(-8)\/18. What is the nearest to -0.3 in 2\/11, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, 0, -0.1, -0.187, 1, 65?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/7, -0.2, 3\/50?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**3 + 5*x**2 - 3*x + 1. Let i(s) = -31*s**3 + 22*s**2 - 13*s + 5. Let j(p) = 2*i(p) - 9*t(p). Let r(c) = c**3 - 2*c**2 + 1. Give 4*j(v) - 2*r(v).\nAnswer: 2*v**3 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j\/(j\/(j**(-3\/4)*j))*j)**(1\/3)\/((j\/j**(-1\/3))**(-7\/4))**(-37) assuming j is positive.\nAnswer: j**(-337\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9251 = 9242. What is the nearest to 2\/5 in -5, r, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:38 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 43*d**2 - 15*d + 6. Let b(u) = 4 - 15*u + 43*u**2 - 11 + 12. Let v(r) = 6*b(r) - 5*n(r). What is the second derivative of v(z) wrt z?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839372690.\nAnswer: 2, 3, 5, 2917, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 4. Let x(n) = -35*n - 67. Let d be x(-2). Solve -2*p - g - 8 = 0, 7 = -2*p - d*g - f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -13\/261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30265 (base 7) to base 2\nAnswer: 1110010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*f - 2 = 0, z - 4 - 23 = 5*f. What is the third derivative of z*w - 7*w**2 + 48*w**4 + 0*w**4 + 2*w**4 + 8*w**4 wrt w?\nAnswer: 1392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 * 5\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) - sqrt(152)\/(sqrt(32)\/sqrt(4)))*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20636 + 62432\/3. Let k = 2153\/12 - x. Find the common denominator of -149\/84 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60348 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1426816 divided by 71\nAnswer: -20096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/((sqrt(2) + sqrt(8)\/sqrt(4))*-5))**2 + (-1*(0 + sqrt(3) - sqrt(3))**2 - sqrt(21)\/(sqrt(14)\/sqrt(2))).\nAnswer: -sqrt(3) + 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s = -2*y - 24*s + 17, -y - 14 = 3*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/3 - 38048*o + 114148\/3.\nAnswer: -4*(o - 1)*(o + 28537)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(162)*2 + ((sqrt(162) - (sqrt(162) + (-2*sqrt(162)*1 - sqrt(162)) - sqrt(162))) + sqrt(162))**2) + 4.\nAnswer: -20261 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18469 by 89808.\nAnswer: -18469\/89808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 t when four letters picked without replacement from {t: 2, n: 6, i: 3, d: 1, m: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762, -408, -1494, -2502, -3438, -4308, -5118, -5874?\nAnswer: -6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/13, -19, -93447?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4973565 is divided by 2486779.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4531 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, -6, 1\/3 in decreasing order.\nAnswer: 1\/3, -1, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(117).\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24176096?\nAnswer: 2, 7, 37, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (-77 - 57 - -134).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, l: 5, f: 4, p: 3}. What is prob of sequence fqfq?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 812\/1215 - 2\/1215. Sort m, -1\/3, 68, 3 in decreasing order.\nAnswer: 68, 3, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d - 6*d**2 - 15*d + 17*d**3 - 13*d**3.\nAnswer: 4*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2*w)**(9\/4)\/(w*w**(-2)*w)**(-44))**(11\/7) assuming w is positive.\nAnswer: w**(297\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556356614.\nAnswer: 2, 11, 23, 1099519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123507*s - 656*s**2 - 123507*s)*(-s**3 + s**3 + s**3).\nAnswer: -656*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -72\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*v + 863*v + 928*v + 343782 - 75322 = 0 for v.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1725 divided by 345?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -20601934 < -20601924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.2 (c) 2\/9 (d) -667\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75, 273, 693, 1449, 2655, 4425, 6873?\n\"Answer: 19*n**3 - 3*n**2 + 74*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2023 - 104?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) 1.735 (c) 2\/19 (d) 3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -85.24. Let t = v - -0.06. Let l be 8\/6*(-4)\/(12\/9). Sort -2\/15, t, l in ascending order.\nAnswer: l, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31256 is divided by 7811?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-20) + 1)*-5. Suppose 48 = r*x + 4*x. Solve -4*t - 6*o - 20 = -o, 0 = 2*o + x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2240 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-8))\/((o\/o**2)\/o)*o**(-9)*o**(-7))\/(o*o**(-15)*o*o\/(o\/o**(2\/11)))**(2\/19) assuming o is positive.\nAnswer: o**(-763\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/28 and -31\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -31, -2, 5, 22 in increasing order.\nAnswer: -31, -4, -2, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/3 + 4. Let g(m) = 94*m - 41*m - 40*m. Determine g(j(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:29 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1963 - 11088 - 3947 = -38*g. What is the greatest common divisor of 2666 and g?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/105 and 1\/9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + 0*z)*(77 + 35*z - 77) + (2*z + z - 5*z)*(1 - 1 - 2*z) + z**2 + z**2 - 3*z**2 + 3*z**2 - 2*z**2 + 0*z**2.\nAnswer: 74*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70938787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1512\/(-5040)*(-2)\/3*200\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67761*m**2 - 10 + 4 + 33866*m**2 - 51 + 33893*m**2 - 15.\nAnswer: -2*m**2 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 18, 0, 4 in ascending order.\nAnswer: -40, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7\/2384, -746, -5, 3, 6?\nAnswer: 7\/2384","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123283171167\/8 + 6625854022073639\/429960. Let p = n - 2\/10749. Does p = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/162, 0.4, 1.1 in increasing order.\nAnswer: 1\/162, 0.4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i = 139*i + 160 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 61*x\/3 - 121\/6.\nAnswer: -(x - 121)*(x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1286 * 0.5.\nAnswer: -0.0643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/6)\/((-2)\/(-453)). Let w = o - 10540\/7. Calculate the common denominator of -61\/5 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 4, 253, -23\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -95. Sort b, 3, 4 in descending order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 210 and -733.\nAnswer: -153930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 14*n**2 + 7*n - 14. Let l be x(-6). Suppose -12 = 4*q - l. Suppose 0 = 5*h, 3*h - q = -i + 4. What is the remainder when 34 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgggvvggsgvvvsvg. What is prob of picking 2 g and 2 s?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/150 + 2*r**4\/45 + 29*r**3\/45 + 8*r**2\/5 - 304*r. Factor g(b).\nAnswer: -2*(b - 8)*(b + 1)*(b + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, a: 3, b: 3, r: 2, v: 1}. What is prob of sequence bav?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 254, 5, -1, 1, 9.\nAnswer: -5, -2, -1, 1, 5, 9, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 131 = -131. Let n be (-5)\/(-14)*((-11 - -3) + x). Are n and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8007+-62111382\nAnswer: -62103375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 205 + 205 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*z + 37, -b - 3 - 14 = -4*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5 = 2*p - 18, 16 = 5*p - 2*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304682 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 297 - 280. Suppose w*g - 3518 = 183533. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 650*j**5 + 192*j**4 - 69*j + 85 wrt j.\nAnswer: 13000*j**3 + 2304*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8995.638 months?\nAnswer: 0.7496365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5512 and 53144?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(512))\/(sqrt(4) + 1*sqrt(100) + sqrt(100)) + (-6*(sqrt(720) - sqrt(20)))\/(sqrt(1000)\/sqrt(4)).\nAnswer: -98*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 1\/6*s**3 + 3*s + 0 + 0*s**2. Let q(t) = 3*t - 2 + 2. Determine q(g(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 10.8?\nAnswer: -90.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-23\/2)\/w*w)\/((w\/(w\/w**(-12\/13))*w)\/w))\/((w\/(w\/(w*w**20*w)))\/(w\/w**(-3\/10))) assuming w is positive.\nAnswer: w**(-2033\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 37\/5. Factor 0*v + 2\/5*v**2 - z.\nAnswer: 2*(v - 2)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 0 + 7*p - 15 - 2 + 2*p. List the prime factors of q(8).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 7. Let l be f(7). Suppose -15 = 4*t - l*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2327.3688 months to centuries.\nAnswer: 1.939474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/12 - 3*a**2\/2 + 3. Let g(h) be the second derivative of k(h). Let q(i) = i**2. What is g(q(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260582 + -158954931\/610. What is the common denominator of w and 7\/1891?\nAnswer: 18910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.71 and 1?\nAnswer: -3.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:07 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 351950*z**2\/3 + 5631712*z\/3.\nAnswer: -2*z*(z - 175991)*(z + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-21 - -15)*(-15)\/18 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + 3.3. Let d = 7.05 - 0.05. Which is the nearest to o? (a) 4 (b) 6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(68))**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 2664553?\nAnswer: -2664563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.723781 to one decimal place.\nAnswer: -211.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 54. Let d(w) = -12*w - 456776. Calculate n(d(c)).\nAnswer: 12*c + 456830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -2. Let g be (-8)\/(-10)*i\/4. Solve c - g = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 - (8 - 12)) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*k**3 + 134 - 134 + (2*k**2 - 6*k**2 + 2*k**2)*(-3*k + 4*k - 2*k).\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 6, 0.785?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Suppose -r - 11 = -2*k, 3*r + 4*k - s = 2*r. Which is smaller: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765696 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Suppose -n + p*n = 12. Suppose -n*r - 222131 = 337869. What is r rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 81*s**2 + 14*s + 89. What is v(-9)?\nAnswer: 5795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-7)\/(-8)) - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3 = 18*j - 14*j + 29, 5*j = 18*d - 13*d - 0*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + q - q)*(0 + 0 + 1) + (1 + 0 + 0)*(24 - 17 - 127)*(2*q - 3*q + 6*q) to the form m + z*q and give z.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600196033 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620325500.\nAnswer: 2, 5, 11, 71, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i - 5. Let w be o(-1). Suppose 3*j + j - 8 = w. Solve 3*z - j = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49776436 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/3)\/6)\/(((-378)\/(-24))\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761409774 divided by -6.\nAnswer: -126901629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.038 + 0.038. Put c, 1, -0.1 in increasing order.\nAnswer: c, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:30 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313389.8 decades to centuries.\nAnswer: 31338.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 - (-7 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.3 + 71160.\nAnswer: 71091.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 246.\nAnswer: 17\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**4 + 5*q**3 - 60*q**2 - 65*q. Let m(d) = 5*d**4 + 3*d**3 - 29*d**2 - 33*d. Let r(a) = 5*m(a) - 3*v(a). Factor r(b).\nAnswer: -5*b*(b - 3)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -24. Suppose -g*x - 4*q + 0*q = 8, -x + 5*q = -22. Let b(c) = -c - 10*c + x*c. Let i(l) = l. Give i(b(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -149, 948 in descending order.\nAnswer: 948, -4, -5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79784.7813s to weeks.\nAnswer: 0.13191928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1204 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5681*r*v**4 - 4*r*v - r + 85*v wrt v.\nAnswer: 68172*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 85*j**2 + 2*j. Determine z(-1).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 53*k - 2*q = -26, 0 = 5*k + 19*q - 161 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((-2)\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 919617466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2936 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.043 - 0.043. Which is the nearest to -0.1? (a) 3\/4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a - 5. Let l = 30 - 4. Let s = l + -22. Calculate r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:19 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43140281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-1 + 2)*-1. Let q be -1*((-2)\/6 + g). Let v be (4 - 4)\/(3 - 2). Which is the third smallest value? (a) -3 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.7*10.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1350849 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-450)\/155)\/((-1488)\/23064).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 857679.9622 - 857994. Let j = i + 314. Let t = -0.04 - j. What is t rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 374 = 67*f + 93*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2198\/3 + -732. Let h = -2359\/435 - -165\/29. Solve -h - y*g + 2\/5*g**2 = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w + 2*q = 524984, 4*w - q = 1049953. Let y = 120310 - w. Let j = y - -238179. What is j rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 - 916*u**4 - u**2 - 29*u + 54?\nAnswer: -120*u**2 - 21984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 920.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1546*c**2 + 22*c + 11. Let p be o(26). Let h be 8\/10 + -1 - p\/215. Let w = 8577 - h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 6:38 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18)*((24 - 0) + (-26775)\/1428)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 23 = 4*l. Let z(k) = -1. Let r(x) = -2*x - 5. Suppose 5*i + 18 + 2 = 0. Let y(m) = i*z(m) + r(m). Determine y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:20 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*a**2 - 57 - 28*a**2 - 27*a**2 with respect to a.\nAnswer: -158*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 3*k**2 - 2*k + 5. Let f be o(-5). Let c be (-2)\/4 - f\/10. Solve -c*x - 27 = 3*z, 5*z - 2*x + 0*x + 17 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 685*v + 2*v**2 + 24 - 674*v. Determine t(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47348 and 16.\nAnswer: 189392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11550215503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 375462 divided by 7362\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (5 - 3)) + (-9)\/(-3). Sort v, 1, -3.\nAnswer: v, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -19. Let g(i) = -5*i**3 + 2*i**2 + 3*i + 1. Let h be g(-1). Let j = h + -5. Solve -4*y + 2*y + k = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 - 11 - 299 = 206*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*u + 18 = -1247*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let y(r) = -16*r - 89. Let q be y(-6). Let k(l) = l**3 - 6*l**2 - 10*l + 27. Let m be k(q). Solve -4*x - 28 = -4*a - 4, 4*a = -w*x + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 - o. Let h be -24*(-22)\/(-99)*6\/(-4). Let y(a) = -6*a + 16*a**3 - 4*a**3 + 8*a**2 - 2*a. Let j(b) = h*p(b) - y(b). Factor j(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6. Put x, 0.2, -3 in increasing order.\nAnswer: -3, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1031, -0.5, -0.01 in descending order.\nAnswer: -0.01, -0.5, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 + 9.74. Let v = r + -5. Sort v, -1\/5, 3\/2 in increasing order.\nAnswer: -1\/5, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 5*x = 32*j - 25, 0 = 4*j + 3*x - 49. Suppose -3*v = -16 + j. Solve 0 = v*f + 2*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 336.1878 hours?\nAnswer: 1210276.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/((-9030)\/150)*-49.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/(-1580))\/(-6 + (-125)\/(-20)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h - 75*h - 2559 = 37*h - 16721 for h.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**4 + 1832208*s**3 - 655257*s**2 wrt s.\nAnswer: -24*s + 10993248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2347615 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, 0 in ascending order.\nAnswer: -2, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*x - 16076 = -60*x. Suppose -2*h + 3*s + x = -0*h, -3*s - 8053 = -4*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = 293 - 413. Solve -5*y + q = 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 = -24*o - 610. Solve o = 3*z - 8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68 + -4*1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 1, m: 1}. Give prob of sequence mp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 318*t**2 - 11880*t.\nAnswer: -2*t*(t - 99)*(t - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(605) + 4 + 3)*2)**2 + (-1 + sqrt(605) + sqrt(605) + sqrt(605) + -3 + 2*sqrt(605))**2 + 5.\nAnswer: 176*sqrt(5) + 17762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154190848 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let o = i - -0.8. Let b = 425\/7 + -61. What is the closest to b in 0.5, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -39, -4 in increasing order.\nAnswer: -39, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2353 - 10?\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777414 is divided by 777395?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5358465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ngffnnnnnfeggxfnneef?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279224558 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*u - 64*u - 258. Let l = u + 131. Let m(s) = s**2 + 7*s - 5. Let j be m(-8). Solve -7 = l*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - 62)\/(((-423)\/(-2115))\/(2\/10)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 221063, 221059, 221053, 221045, 221035, 221023, 221009?\n\"Answer: -q**2 - q + 221065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, q: 11}. What is prob of sequence ddqd?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 0.2, 3, 39586, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (809 - 818) + ((3 - 6) + 0 - 7)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49484, -49505, -49526, -49547?\nAnswer: -49568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 35081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:40 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 466 - 465. Let s be (-8 - n)*28\/(-6) + -6. Which is greater: s or 33?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(1*sqrt(130) - sqrt(130)))\/(3*sqrt(160)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-3*z**2 + 3*z**2 - 2*z**4 + (-3*z**3 - z**3 + 0*z**3)*(0*z + z + 0*z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 13*k + 1. Let t be f(0). Suppose -5*c + 26*i - 28*i = -t, 4*i = -8. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4857*n + 14954*n**2 + 4857*n to f*n + m + r*n**2 and give r.\nAnswer: 14954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2 + (7 + 35 - 6)*(-2 + 0 + 0))*(5*z**2 - 2*z**2 - 5*z**2).\nAnswer: 148*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12363, 25636, 39797, 54852, 70807?\nAnswer: 87668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 62, 103, 180, 305, 490?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/120 - o**5\/15 + 5*o**4\/24 - 5*o**3\/6 + o**2. Let t = -28 + 32. What is the units digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2. Let w be h(-7). Suppose -4*p + 26 = -w*q + 2*q, -3*q = -9. Suppose 21 + 9 = p*s. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**2 + 16269216*s - 79219500?\nAnswer: -2*s + 16269216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -27 (b) 197 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/9 (b) -4 (c) -8\/39 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9269.\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3267 divide 415108287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20212111010211212 - 21?\nAnswer: 20212111010211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 14 - (1 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:10 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*s**3*w + 7*s**3 - 3*s*w + 10*s + 1 wrt s.\nAnswer: 492*s*w + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfymytyytbttpyyyf. Give prob of picking 2 t and 1 f.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from pppnn.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**2 + (38*i**2 + 116*i**2 + 33*i**2)*(4 - 3 - 3 + (0 - 3 + 2)*(0 + 0 - 1) + 3 - 5 + 3 + 3 - 4 - 2).\nAnswer: -560*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 3852*q - 3859*q - 2 + 4 + 3*q**2. Let f be p(5). Let c(a) = -13*a**3 - 3*a**2 - 3. Let r(k) = 38*k**3 + 8*k**2 + 8. Give f*c(v) - 3*r(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -44633 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66448*g**2 + 66443*g**2 - 132897*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by -96?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r - 354*r + 132*r + 92185 = 798*r for r.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Solve 14 = 3*s - n*z, 3 = -s + 4*z + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + s + 4. Let w be u(0). Suppose w*h = -g + 71, g + 5*h - 102 = -36. Suppose g = -4*j + 215. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -79.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Suppose 108 = 4*u + 5*f, 3*u - k*f - 81 = -4*f. What is the remainder when 107 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 15. Let g(a) = 31*a + 100. Let p(d) = 7*d + 23. Let n(t) = -2*g(t) + 9*p(t). Calculate -5*n(m) - 2*o(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 94, 288, 664, 1282?\nAnswer: 2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/216226946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:10 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b + 42. Let g(j) = 27*j - 42. What is 3*g(i) + 2*w(i)?\nAnswer: 25*i - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 + -5. Let a be (-129)\/(-30)*18 + -3. Let w = -75 + a. Sort w, q, -1.\nAnswer: -1, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/(-9 + (-19755)\/(-2196)). Factor 5*p**3 + 155*p + j*p**2 - 17*p**2 + 6*p**2 + 150.\nAnswer: 5*(p + 2)*(p + 3)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**3 + 3*f**3 - f**3)*(-2 + 6 - 1) + 5186*f**3 - 683*f**3 + 1926*f**3 in the form l*f + c + p*f**2 + r*f**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 110\/20)\/((27\/6)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 4*i**2 - 4*i + 2. Let g be o(2). Suppose 0*m + 198 = -22*m. Let c be m + 4 + g + 190. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -950303*s**2. Let z(u) = -3*u**2. Calculate z(r(t)).\nAnswer: -2709227375427*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 27) + -14 + -18 + 38\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (1 + 3)*1. Suppose -6*j + r = -4*j. Factor 12*q**2 - 9*q**3 + 24*q**2 - 9*q - j*q**2.\nAnswer: -3*q*(q - 3)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 225775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(-1 - 8 + 1)*(261*f + 249*f - 489*f) in the form z*f + u and give z.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 10*o + 18. Calculate y(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110045 is divided by 8064?\nAnswer: 5213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/3 + 7*c**2 - 1. Let g(k) = 14*k**2. Calculate r(g(u)).\nAnswer: -3920*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 79 - 14 + 363*w as s + m*w and give m.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 521673907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326107*n + 74480 = -325127*n for n.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(180) + 3 - sqrt(20)\/sqrt(36)*1).\nAnswer: -19*sqrt(5)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 - 2*u**4 + (-3*u**3 + 3*u**3 + 2*u**3)*(-3*u - 3*u + u) + (-3*u**4 + 0*u**4 + u**2 + 0*u**4)*(-429 - 43 + 10).\nAnswer: 1374*u**4 - 462*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 3 (c) 1\/3 (d) -48 (e) -3\/7 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 8*s + 3. Let m be c(8). Let x(y) = 1 + m - 32*y - 5. Is x(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/90 and -179\/2040.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 613404185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/474 and 53\/790.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frafrrr. What is prob of picking 1 f and 3 r?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19187789?\nAnswer: 491, 39079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25765.1200012 - -25765. Let u = 16.92 + -16.8. Let j = u + x. What is j rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**2 + 10*g**2 - 54*g**2 + 7*g + 19*g**2.\nAnswer: -2*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -6 + (-11 - (-5 + -10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -31.68845?\nAnswer: 34.68845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/7))\/y*y*y)**(-2\/29)*y\/(y**0\/y)*y*y*y**(3\/5)\/y assuming y is positive.\nAnswer: y**(3494\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*y = -24, 0 = -4*w + y - 3*y + 10. Suppose -w*t = -63 - 5. Let x(g) = 17*g**2. Let r be x(-2). What is the greatest common divisor of t and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmse. What is prob of sequence smes?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -606.\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/192 and -53\/1088.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 159 = -3*x, -144 = -4*g + g - 2*x. Let n = 7 + -4. Suppose n = 4*r - 17. What is the highest common factor of r and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5 in descending order.\nAnswer: 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 + 28*u - 37. Let m(t) = -6*t**2 - 28*t + 28. Let i(h) = -4*m(h) - 3*y(h). Determine i(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1213159\/30 - 40443. Let x(b) = -3*b**2 - 22*b - 12. Let k be x(-7). What is the common denominator of o and 1\/k - ((-849)\/45 - -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 398*d**2 - 1201*d + 3. Determine w(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 3, e: 1, c: 1, l: 2, t: 3, v: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4586\/380 + (-36)\/(-45). Let t = o + -26\/19. Let p = -3640 + 18137\/5. Calculate the common denominator of p and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-24) - (-2)\/12. Put 3, d, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 8. Let d be a(-7). Let l = d - 1. Solve l = -0*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14161 and 16184.\nAnswer: 113288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugaugzuogzz. What is prob of picking 2 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = 5*d, -4*o - 31 + 119 = -4*d. Let t(g) = 27*g - 12*g - o*g. Let x(h) = 424*h. Determine t(x(u)).\nAnswer: -848*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.9. Which is the closest to 7? (a) -2\/3 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 4*w**2 + w**2 - 5*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0159232544 to six decimal places.\nAnswer: 0.015923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -5. Let q = i - 4. Suppose q*n = -61 + 81. Solve n*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -94, -369, -828, -1471, -2298, -3309?\n\"Answer: -92*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 70 = -23*o. What is the fourth biggest value in 5, o, 0.2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9550*g**5 + 132*g**2 - 21.\nAnswer: -573000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -87 - 116) + 7\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2562 = -0*j. Suppose -2*q + j = -5*h + 1532, -q = 4*h - 897. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83646\/(-6196))\/((-28)\/(-8) - 3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.15. Let z = o - 0.09. Let h = 0.46 - z. Sort h, 5, 0.3 in decreasing order.\nAnswer: 5, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:28 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + sqrt(2592)*-2*-2)\/(2*(sqrt(81) - 2*sqrt(81))).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrggg. Give prob of picking 2 g and 2 r.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202 a factor of 1988946093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 108*r**2 - r. What is j(1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/95919 and 169\/30.\nAnswer: 959190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10000010001101001111111000?\nAnswer: 10000010001101001111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 268, 331, 432, 583?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 54?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 0 + 1 - (-3 + 40 - (199 + -159))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147 - 163) + 0 + -18 + 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -34*s**3 + 52*s**2 + 5*s. Let r(q) = 17*q**3 - 26*q**2 - 3*q. Let m(z) = -3*b(z) - 5*r(z). What is the third derivative of m(n) wrt n?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 110?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 2:18 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 34 = -2*q, -1215*q + 1226*q = -209 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/38 < 271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(27\/36)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a\/(a*a*a*a**1*a*a*a)))*a*a**(-8\/7)*a**(-14)*a**(4\/7) assuming a is positive.\nAnswer: a**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 499013762 a multiple of 4434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 + 0.2499974. Round h to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -933017124*w**4 - 758579406.\nAnswer: -3732068496*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 145 + 7. Let t = x - 12. What is the greatest common divisor of 65 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-69)\/(-2))\/((-5)\/(-10)). Suppose -l + 21 = r, 5*l + r - 5*r = w. What is the remainder when 48 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22542 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*a + 47 = 401 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, r: 1}. What is prob of picking 1 r and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 2*o - 2. Suppose 3*s = 12*s - 288. Calculate the least common multiple of s and f(4).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*z = 46, 0*d - 5*d = z - 158. Calculate the remainder when d is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/13, -5, 1\/46 in increasing order.\nAnswer: -6, -5, -2\/13, 1\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -318 - -357. Suppose 0 = -15*t + c - 9. Put 4\/3, -1, t, 2\/17 in ascending order.\nAnswer: -1, 2\/17, 4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14140 (base 5) to base 12\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -52, -96, -158, -238, -336, -452?\n\"Answer: -9*t**2 + t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2) + (-3)\/6. Let g(u) = 5*u - 4 - 6*u**2 - 8*u**2 - u**3 + 9*u**y. Let j be g(-6). Solve j*p + p - 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-8) + -21 + 21 - 12\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 2 (c) -0.1 (d) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/b**(2\/31))\/((b*(b**(8\/7)\/b)\/b)\/b**(1\/8)) assuming b is positive.\nAnswer: b**(-3901\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900964 a multiple of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let a(v) = 12 - 4*v**2 - 12. Determine r(a(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b - 5. Let w be y(-3). Let u = w + -17. What is the least common multiple of (-2)\/u - (-93)\/6 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 0.086476279142587.\nAnswer: 7.913523720857413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317 + -312. Sort 0.01, 3, -2, m in descending order.\nAnswer: m, 3, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 0, 6, -892 in descending order.\nAnswer: 6, 0, -49, -892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 28008*a - 1006992.\nAnswer: -(a - 27972)*(a - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, d: 2, a: 4, k: 4}. What is prob of picking 1 a and 2 d?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - 2*f)*(-1 - 4 + 12 + (0 + 0 + 1)*(2 + 1 + 2)) as i*f + g and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -211?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 13) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-123)\/(-15) - (-804)\/(-670). Let n(x) = 2*x**2 + 7*x + 17. Let d(w) = -w**2 - 2*w - 6. Determine l*d(r) + 2*n(r).\nAnswer: -3*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25416 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -6*r**3 + 21*r**2 + 1524*r + 756 = 0.\nAnswer: -14, -1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:33 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 100000101110000100?\nAnswer: -100000101110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2*p**17\/p*p)\/((p*p\/(((p\/(p**(-1\/25)\/p))\/p)\/p*p))\/p**13) assuming p is positive.\nAnswer: p**(701\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1000234222 (base 5) to base 7\nAnswer: -22450366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:29 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238874 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -320 and -587.472?\nAnswer: 267.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 1099\/6?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {s: 5, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 707.6329 kilograms?\nAnswer: 707632900000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0123 and -4180?\nAnswer: 4180.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -186996 - 23*f + 186996 as b + q*f and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -118\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 1334*s - 8076.\nAnswer: 2*(s - 673)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*c + c**5 + 116*c + (4*c**4 - 2*c**4 - 3*c**4)*(3*c - c - 3*c) - c**5 + c**5 + 2*c**5.\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 7) + (2 - (7 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*h + u + 6, h + 14 = -4*u. Let n be 5\/15 + (-158)\/h. Let d be (-4)\/(-15)*39\/n. Which is the second smallest value? (a) d (b) -5\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 2, t: 5}. Give prob of sequence pt.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3 + 3*n**2 - 3*n + 3. Let x(p) = 2*p**2 - 5*p + 3. Let j(q) = 5*c(q) + 6*x(q). What is the derivative of j(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 - 1575*f + 9 - 45 + 2*f**2 + 1573*f in the form d*f**3 + g*f**4 + k*f + j*f**2 + a and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 18*y - 19*y = 11, 6 = -4*k - 2*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:00 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 341b172 (base 13) to base 8\nAnswer: 75066235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -468*w**3 + 1686*w**3 + 158*w**3 + 2837*w**2 + 2330*w**3 wrt w.\nAnswer: 22236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**3 + 635*q**2 + 6080*q + 5440 = 0?\nAnswer: -8, -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -5 (b) -739 (c) 4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + 0 - sqrt(90)\/sqrt(2)) + 1 + (sqrt(125)*6 + sqrt(5) - (sqrt(5) - -2*sqrt(5))*3))**2.\nAnswer: 60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846 by 67544.\nAnswer: -423\/33772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n**(-2\/7)\/n*n)*n*n)**36\/(n\/(n**(2\/7)*n))**(-35) assuming n is positive.\nAnswer: n**(1262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 7 + 9 + 0*c**2 + 0 - 2*c. Let y be p(3). Suppose 3*z = 3*s - 1 - y, 1 = 4*z - s. Put -4, 2, -1, z in decreasing order.\nAnswer: 2, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4948 - 2614. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -480d44 (base 14) to base 6.\nAnswer: -124430332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3630 = -116*n - 62*n + 13*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 - -18.11. Let p = -17.9978 + l. What is p rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxuhc. Give prob of picking 1 c and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 551 - 377. Suppose 12 = 10*z - 6*z. Suppose -z*q = -51 - d. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u**3 + 12*u**2 + 16*u - 18. Let p be q(-6). Let i = -809 - p. What are the prime factors of i?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 4 = 0. Let k be 3 + -2 + 1 - 1. What is the highest common factor of f and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, j: 2, a: 2, w: 2}. Give prob of picking 1 v and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -32, -70, -122, -188, -268, -362?\n\"Answer: -7*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*h + 22*h + 32*h in the form k + y*h and give y.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) -3 (c) -64 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169943?\nAnswer: 47, 137, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -315 - -501. Calculate the lowest common multiple of w and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*p + 399160 - 3521872 = 0. What are the prime factors of p?\nAnswer: 3, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4991 is divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 16*l**2 + 16*l - 124. Let s be m(15). Let x = s + 113. Is x greater than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + m**2 + m**4 - 40*m + 47*m + 11*m**3 to w*m**3 + a*m + l*m**2 + q + b*m**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10336501.41 rounded to the nearest 1000?\nAnswer: -10337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24091 - 13957. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 0.09.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 4873662?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446\/7 or -0.0478?\nAnswer: -446\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -140, -115, -58, 43?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 2*h, -6*u + 11*u - h = 69. Let p = -6 + u. Let s be 2\/p - 412\/(-28). What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3399 + 3747 = -2784*l - 3990 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 492 + -17087a?\nAnswer: -1703b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55073 is divided by 9094?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x. Suppose -9*c + 7*c + 44 = x. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - g - 1079012. Let f be g - (7 + -3) - (-1 - -5). What is f rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338170591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let r = -176.11 + 177. Let x = -0.79 + r. What is the closest to u in -0.3, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 27. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.3 + -2.3. Let q = 5.1 - d. What is the nearest to 1 in 2, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/120 - k**3\/3 + k**2. Let n(a) be the first derivative of h(a). Let z(b) = 0*b + 0*b + b. Give z(n(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.446837 millennia to months.\nAnswer: 29362.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 3*f + 3, 0 = -5*h - 102*f + 99*f - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453 - -452. Let z = 13.26 - 0.26. Sort -0.2, z, n.\nAnswer: n, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*v - 2 + 2 + 3*v + 2*v - 4*v + (2 - 1 + 1)*(0 + v + 0) + (3 - 1 - 1)*(1 - 1 - 2*v).\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1861, 1, -3, -3721 in increasing order.\nAnswer: -3721, -1861, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2. Suppose 4*a - 2*h - 4 = 2*h, -4*a = -h - 10. Let v(x) = -8*x + a*x - x. What is b(v(w))?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**7\/2520 - f**6\/180 + 2*f**4\/3 + f. Let a(r) be the third derivative of n(r). Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - -1?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 31 + 10*n)*(2 - 2 + 3)*(-4*n + n + 4*n) to the form q*n**2 + r + i*n and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a8 - 4?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 23 + 14*x + (5 - 1 - 5)*(0*x + 0*x + 2*x) to the form b*x + f and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 89, -0.1, -5, 484.\nAnswer: -5, -0.1, 0.11, 89, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - -6 - (17 + 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132123816 to the nearest integer?\nAnswer: 11495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32706 is divided by 239.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*k - 7 = -1, 3*k + 9 = -4*g. Suppose 5 = o - g*o + 3*j, 11 = 5*o + j. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12589819.\nAnswer: 11, 1144529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.3136016.\nAnswer: -0.3136016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 <= -66400\/359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((2\/10)\/(9\/45)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/35)*m*m)\/m)\/m)**(9\/4) assuming m is positive.\nAnswer: m**(297\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**3 + 16*o**3 + 18*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.658 + 0.3?\nAnswer: 4.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-3*3)**2 + (6*sqrt(187)*3)\/sqrt(11).\nAnswer: 18*sqrt(17) + 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 133 * -168.572\nAnswer: -22420.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 1. Let k(r) = 4*r**2 + r - 3. Let w be k(-2). What is the remainder when 19 is divided by x(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 9*d**2 - 2*d - 14. Let z be b(-9). Let v(f) be the first derivative of 0*f**3 + 1\/10*f**z - 1\/5*f**2 + 0*f + 2. Factor v(y).\nAnswer: 2*y*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from meerifffeee?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 32*y - 23. Let j be w(-14). Suppose l = -j*l + 49810. What are the prime factors of l?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 11. Let u be r(11). What is the second derivative of 5*h**3 - 4*h + u*h - 2*h**3 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100210000 (base 3) in base 14?\nAnswer: -2852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -36*d**3 - 12*d**2 + 12. Let h(f) = -f**3 - f**2 + 1. Determine -36*h(g) + 3*w(g).\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 596\/(-1639) - ((-7728)\/(-88))\/6 - 38.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.95, -0.3, -2, -93, -4\/3, 2\/3.\nAnswer: -93, -2, -4\/3, -0.3, 2\/3, 0.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*j - 70110 = 636*j. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + ((sqrt(343) + -2*sqrt(343)*-3)**2 - (1 + (sqrt(343) + 2 - sqrt(343)))).\nAnswer: 16802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -16. Let o(m) be the second derivative of m**5\/20 + 2*m**4\/3 + m**3 - 2*m**2 - 99*m. Determine o(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 202.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:52 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08006214*-1.\nAnswer: -0.08006214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 25. Let d be ((4 - 1) + -3)\/2. What is the remainder when c(d) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 10) in base 12?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 - (3 + -55). Let o(w) = 42*w + 30. Let k be o(5). Let a = k - 230. Calculate the greatest common factor of y and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 36*z**2 - z + 10. Suppose 3*c = 3*h + 12, 5*c - 1 - 12 = -2*h. Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15412 - -9269338?\nAnswer: 9284750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/12))**(-5\/3) assuming l is positive.\nAnswer: l**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 minus 0.284?\nAnswer: 2834.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occ when three letters picked without replacement from {c: 6, w: 3, l: 1, d: 3, o: 5}?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22510108 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d + 3 + 5*d)*(-d**4 + 3*d**4 - 3*d**4).\nAnswer: -7*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 19*l - 8. What is the hundreds digit of n(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.3. Let v = -402 - -403. Which is the nearest to 2? (a) u (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 511, 451, 367, 259, 127?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -v, 0 = 2*v + 3*k + 11 - 5 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -535221, -1070356, -1605487, -2140614, -2675737, -3210856?\n\"Answer: 2*i**2 - 535141*i - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 6*a + 13)*(5 + 1 - 4) + (1 + 0 + 0)*(2*a - 5*a + 0*a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -61477?\nAnswer: -12\/4729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a factor of 976574715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15800 and 66130584?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5*18\/2160)\/((-9)\/99)*-2\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1378, 1371, 1364?\n\"Answer: -7*p + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 12, g: 1}. Give prob of picking 1 g and 2 m.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2 - 18. What is the tens digit of -1*4432\/(-20) + p\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-1)\/(-4) + 4. Suppose -171*u = -152*u - 76. Suppose -9*s + 27 = -9. Solve 3*q + q - 31 = 3*b, u*q + s*b = -t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 9*k - 9. Let f(t) = -1536*t**2 + 0*t + 3*t + 1535*t**2 + 2 - 1 - 2*t. What is 18*f(j) + 2*x(j)?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61.59179 millennia?\nAnswer: 739101.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f + 1)*(0 + 0 - 4*f) + 7974*f + 318*f**2 - 7974*f.\nAnswer: 310*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 4259 in descending order.\nAnswer: 4259, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/90 - 7\/45. What is the nearest to -0.3 in -4, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.05, 1\/2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0*k + 1\/5*k**2 + 17\/10*k**4 + 19\/10*k**3 + 0 = 0.\nAnswer: -1, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.2 * 0.2\nAnswer: 8.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 99288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1638887\/50 + 32780. What is the common denominator of n and -71\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 7*z + 7*z - 3*z in the form l + x*z + n*z**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 78 = 2*x. Suppose 2*l = -l + 6. Let c(q) = 2*q**3 - q**2. Let d be c(l). What is the highest common divisor of x and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 2 + -4 + 1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjjjjttjnnlqj. What is prob of picking 2 j and 1 l?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1481398299694 - 1.5.\nAnswer: -1.6481398299694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359971313 - -510561313. Round i to the nearest one million.\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyrl when four letters picked without replacement from {y: 1, u: 5, h: 1, l: 7, r: 1, c: 2}.\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 0 - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 19, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115743 and 15.\nAnswer: 578715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110602104 and 1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose -5*k = -j - 17. Let o(r) = -r + 9. Let z be o(k). Solve 2*m + 3*m - z = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163303911, 326607837, 489911777, 653215737, 816519723, 979823741, 1143127797, 1306431897?\nAnswer: 1469736047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -601, -679, -785, -919, -1081, -1271?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from {d: 12, i: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, 0.1 in increasing order.\nAnswer: 0.1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905*b - 99776 = -975*b + 526654. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 7*u + 11. What is p in 14*p**2 + 24 - 4*p**3 - 2*p - 2*p - 17*p**2 - u*p**2 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:11 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2364*l - 338 = -2351*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1, 18269, 8 in decreasing order.\nAnswer: 18269, 8, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -6*o**2 - 8*o - 10. What is the hundreds digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20843983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 4*z**2 + 4*z - 8. Is j(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(9 + 0))\/((-60)\/(-72)). What is the nearest to 3 in -78, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**2\/2 + 5930. Let j(n) = -10*n**2 + 0*n**2 + 0*n**2. What is j(d(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/8 - 167253*g**2\/4 - 1672455*g\/8.\nAnswer: -3*g*(g + 5)*(g + 111497)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.41289 to one decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0.31, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(135\/(-108)). Solve z*a + 1 = 5*w - 19, 10 = -2*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -3*d + 9*l, 482*d - 480*d - l = 19 for d.\nAnswer: 4","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: In base 12, what is 261 + -a?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*g*l**3 + 5*g*l**2*t + g*l*y - 3*l**3*t*y + 2*l**3*y - 17*l**2*y + l**2 + 2*l*t*y wrt l.\nAnswer: 336*g - 18*t*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*o - 899*o**3 + 207*o - 29*o - 35*o + 173*o wrt o.\nAnswer: -5394*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2243*f**3 - 3*f**2 - 569?\nAnswer: -13458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q - 16*q**2 - 1\/60*q**5 + 0 + 0*q**4 + 0*q**3. Let o(m) = -14*m. Calculate u(o(k)).\nAnswer: -196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/3 - s**2 + 2. Suppose 0 = 4*z + 5*t + 4, 5 = z + 4*t - 5. Let b = 10 + z. Calculate k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-5)*(-8)\/48*2\/270*20?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 214524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 170\/45 - 4\/(-18). Suppose -18 - 2 = -g*c. Solve 28 = 4*j + 2*m + 6, -5*m = c*j - 35 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1448 + 1487. Calculate the smallest common multiple of g and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/45*5\/3. Let q(w) = h*w - 5*w + 2*w**2 - w**2 - 5*w + 8. Let l be q(6). Let j(m) = -m - 6. Give j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1674 in -1\/3, -0.048, -24, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (3\/9)\/(351\/180 - 2). Are 0.08 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {v: 1, j: 1, c: 1, g: 3, d: 2, i: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 + 500 - 28214*g - 2*g**2 + 28211*g + 383.\nAnswer: -2*g**2 - 3*g + 598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - v**2 + (-11*v + 2*v + 5*v)*(-2*v + 3*v - 2*v) + 6*v**2 - 2*v**2 + 5*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76 - 2b?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 9*f - 3. Let l be n(-5). Solve 6 = -5*j + l*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11265*o - 11419*o + 8932 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 226215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**4 - 4*t**3 + 4*t + 25. Let x(m) = 3*m + 35 + 8*m**4 + 41 - 52 - 3*m**3. Let v(i) = -4*x(i) + 3*z(i). Differentiate v(b) wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -840*p + 4. Let c(k) = k**3 - 6*k**2 - 10*k + 24. Let b be c(7). Suppose 17 = -14*s + b. Let j be n(s). What is j rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110412 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2 - (28 - 22) - -51.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/2 - 26*b**3\/3 + 3*b**2 + 7*b - 2. What is the second derivative of f(a) wrt a?\nAnswer: -12*a - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2201220 - 130030?\nAnswer: -2331300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 3:26 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12545)\/2260*20\/(-6). Let u = 1\/339 - j. Find the common denominator of u and 20\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5584 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 199.\nAnswer: -199.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbesblesbppelple. Give prob of sequence epp.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 334? (a) 0 (b) 0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/252)\/(6\/(-7)). Sort d, 0.4, -5 in increasing order.\nAnswer: -5, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Find the second derivative of -h*g**2 - g**2 + 3*g**2 - 3*g wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkkkzzkkkkk. What is prob of sequence kz?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -37 (b) 2 (c) -3.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193693401\/7280 - 425575\/16. Let k = o + -11\/130. Is 9 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1131 - -247?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 22. Let k be q(-2). What is the common denominator of 59\/3 and -35*12\/27 + k\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -528*i**2 - 1376*i - 34*i**4 + 1375*i + 38*i**4 + 929 wrt i.\nAnswer: 48*i**2 - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let f(p) = 34669*p**2 - 2*p. Calculate f(w(v)).\nAnswer: 138676*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 16*o - 35. Let a be p(13). Suppose -4*s - a*u + 692 = 0, 5*s = -2*u + 461 + 404. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*v - 4*j = 206*v - 33, 51 = 3*v + 6*j + 4*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 11*c - 10. Calculate the remainder when k(-14) is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 + o**2 + 10*o - 2. What are the prime factors of a(3)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -9. Let p(z) = -39*z**b + 22*z**2 + 18*z**2. Let i(f) = 2*f**2 + 14*f. Give p(i(w)).\nAnswer: 4*w**4 + 56*w**3 + 196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462491037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2123 - 233. Does 90 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*w - 102*w - 12 = 0. Find the second derivative of -48*z**4 + 0*z**3 + 17*z + 0*z**w + 13*z wrt z.\nAnswer: -576*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 3*p + 3. Let m(n) = 9*n**2 + 6*n - 7. Let d(y) = 4*m(y) + 7*s(y). Let t be 23\/(-4) + (-4)\/16. What is the units digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -12. Let i = -51.33 + 51. Let z = i - -0.53. Which is the biggest value? (a) 1\/2 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.1515nm to millimeters.\nAnswer: 0.0004561515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086.891 - 0.06?\nAnswer: 3086.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4aa + 1?\nAnswer: 4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 8*d. Let s(m) be the third derivative of 0*m**3 - 1\/30*m**5 + 59*m**2 + 0*m**4 + 0 + 0*m. What is s(y(h))?\nAnswer: -32*h**4 + 128*h**3 - 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (219 - 22*z - 219 + (1 - 1 + 2*z)*(1 - 3 + 0))*(4 - 1 - 4) to d*z + i and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 269, -0.3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20186*c**5*s**2 + 2*c**3*s**2 + 4*c*s**2 + 9*c*s + 3*c - 4*s**2 wrt c.\nAnswer: -403720*c**3*s**2 + 12*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = -145 + 297. Solve 3 = -l - q*h, 0 = 2*l - 2*h - 5 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1508745 = 157*n + 227*n - 1445367. Is n a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/3, 5, -5\/3, -2\/18933?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -628, -651, -682, -715, -744, -763, -766?\n\"Answer: s**3 - 10*s**2 - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 500335164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -760890*c*f**3 - 11*c*f**2 - 2*c*f + 2*c - 14*f**6 - 1935*f**2 + 4*f wrt f.\nAnswer: -4565340*c - 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**2 - 53*p**2 + 23*p**2 - 35*p**2.\nAnswer: -121*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (139 - 42319\/303)\/(2\/168)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 + 2 = 0. Suppose 8*c = -p*c + 6080. Suppose -3*w - m + 800 = -944, -5*m = -w + c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/60 + 4*c**2. Suppose 2*v = 2*k - 6*k + 8, -k - 5*v + 2 = 0. Let q(f) = -f**k - f + f. What is z(q(u))?\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 30\/9)*-3. Let a = n + -3. Suppose -3*s + 20 = -a*b, -4*s + 2*b + 3*b = -27. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/28 - 19\/84. Let z = -49.7 - -52. Let o = 7.3 - z. Which is the third biggest value? (a) o (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*j + 312 = 5*p, -5*j + 310 = 5*p. Suppose -6 = 2*f + f. Let a = 5 - f. What is the highest common factor of p and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/43 (b) -5 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0 + 2 - sqrt(98))**2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from {d: 1, g: 2, a: 1, t: 13}?\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 347, 427, 519, 611?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/24540*8*((-42)\/(-4) + -2) and 97\/16.\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 26. Let n be x\/6 + (-12)\/(-36). Suppose n*w - 26 = 2*d, -w - 5*d + 0 = 5. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10031.\nAnswer: 7, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -368, -403, -460, -545, -664, -823?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 72. Solve -5*o - 4 = -u*q - 24, 5*o - 4*q = 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 5*x**2 - 1. Let u be c(-5). Let p(n) be the first derivative of -n**3\/3 - n**2\/2 + 4. Let w be p(-1). What is the nearest to w in 4, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1323 - 922. What are the prime factors of b?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (6\/1 - 15) + (-1 - -5). Let w(d) be the third derivative of -d**5\/60 + d**4\/24 - d**3\/3 + d**2. What is w(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxxbepxbpuxuubppxupu. What is prob of picking 2 u and 1 e?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 3. Let h be a(5). Suppose 0 = -h*l + 3*r + 324, 4*r + 169 = l - r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1032 + 30928 = 2*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -5 in descending order.\nAnswer: 9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-6)*m)\/m**(-1\/5)*m**(1\/6)\/(m**(2\/7)*m*m) assuming m is positive.\nAnswer: m**(-1033\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = 0, q - 5*v - 3779 = 2448. List the prime factors of q.\nAnswer: 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222760 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:22 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 154*o - 55. Let m = -543 - -539. Let q(i) = 11*i - 4. Give m*x(k) + 55*q(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425948 is divided by 408?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 13*c - 33*c + 8*c + 12*c. Let v(t) = 143*t + 2. What is v(d(i))?\nAnswer: 286*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*i - 4*o, -o = -2*i + 4*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 2*o**2 + o**2)*(-2*o + o + 2*o) - 1 - 4*o**3 + 1 + (-3*o**3 + 4*o**3 + 0*o**3)*(2 + 0 - 3) + (o + 2*o**2 - o)*(-3*o + 0*o + o).\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 64. Suppose m*r + 2 = 10. Solve -2*y = 2*z - 0*y - r, -11 = -5*z - 4*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137\/3 + 46. Let i be 12\/9 - (-9)\/(-27). What is the fourth smallest value in h, -0.1, 0.6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47901 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 + 19598010*o**2 + 29397008*o + 9799002 = 0.\nAnswer: -4899501, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -132*j + 102*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2730 divided by -546\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b + 3. Let h(j) = 99*j + 17. Let r(m) = -39*m - 6. Let c(f) = 6*h(f) + 17*r(f). Give c(n(p)).\nAnswer: -1104*p - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2) + 7\/(-21)*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - 2\/(-16). Let c be 1*(0\/1 - -1). Let s = 0.6 + -1. What is the nearest to c in u, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from ssxssxsssxsssss.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 44 - 220 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -220b5 (base 13) to base 16\nAnswer: -f0e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002151 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2 + 2 + g) - 35 + 35 + 25*g + (-3 + 3 + 2)*(-8*g + 8*g - 2*g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7262703 and 129843.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9758, -19523, -29288, -39053, -48818, -58583?\nAnswer: -68348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6281456 and 4512?\nAnswer: 37688736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhee. What is prob of sequence eehh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 17\/40*j**5 + 20*j - 9*j**2 - 14\/15*j**6 + 4\/21*j**7 - 2*j**3 + 0 + 83\/24*j**4. Let k(c) = 0. What is c?\nAnswer: -3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6 + (-5)\/(-2). Let s(g) = -9*g + 12. Let t be s(b). Let m be ((-138)\/9)\/(1 - t\/(-9)). Solve -5*k - 5 = 3*w, k - 3*k + 3*w - m = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 53*h + 389. Let v be w(-5). Let k be (-2*(-2)\/(-42))\/(v\/(-868)). Factor -2\/3*n**2 - 7\/3*n**4 - 8\/3*n**3 + 1\/3 + k*n - 2\/3*n**5.\nAnswer: -(n + 1)**4*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 4*n - 5*m - 407, -3*n = 2*m - 274. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011111010101100100011 (base 2) to base 12\nAnswer: 1067a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3789923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -71. Calculate the remainder when o is divided by 8\/(-6)*(-9)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626882 = -6486*i - 3625*i for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23130915.\nAnswer: 3, 5, 307, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 13. Let g be d(14). What is the remainder when 2\/(-9) - (5 - 1086\/g) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3042 and 15574.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n + 10. Let x be v(0). Solve -2*h = -4*h + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/2))\/t**(-1\/3))**38)**(-3\/26) assuming t is positive.\nAnswer: t**(-95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 - u - 2. Calculate the remainder when 821 is divided by l(8).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + z + 12. Suppose -105 = -z*o - 25. Calculate the least common multiple of (24\/9)\/(-4)*-21 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0215 - 13.89\nAnswer: -13.8685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 12 = -4*q. Suppose 0 = -3*c + 1 + 8. Determine v, given that -1 + 3*v + c - q*v**2 + 5*v**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 f when three letters picked without replacement from vqzjfvqqqgfz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 10.7?\nAnswer: 14.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 183*z**3 - 4. Let j(n) = -75396*n**3 + 1647. Determine 1647*i(d) + 4*j(d).\nAnswer: -183*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.1334 decades in millennia?\nAnswer: 5.741334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 3*y**2 + 2*y - 12. Let a be q(4). Let t(k) = k**3 + 3*k + 9. Let r be t(6). What is the greatest common factor of a and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3\/4*y**4 + 31 - 21*y - 45\/2*y**2 - 9*y**3. Factor d(l).\nAnswer: -3*(l + 1)**2*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-1 + 4) - 3. Suppose -n = 3*o + 16. Let r be 3 + (-2)\/((-4)\/o). Solve -2*h + p + r*p = 4, 0 = -2*h - 2*p - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 4572540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 2, s: 6, d: 1, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 214003557 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 56. Suppose 0*d + 12*d = -415 + 67. Give g(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, n: 1, p: 3}. Give prob of sequence pnb.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:19 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 425872098*f + 660024333 wrt f?\nAnswer: 425872098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 46933\nAnswer: 4693.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -367 + 2?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 122?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64040, -127999, -191958, -255917?\n\"Answer: -63959*q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 1, 17 in ascending order.\nAnswer: -255, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 742 = -2*u + 4*h, -2*h = -4*u - 590. Let c = u + 143. Which is greater: c or -13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6969, -2\/11, -6.5, -7\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896*m - 11600 = -446*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233 + 2465 + 4*z**2 - 1232.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 61540*p - 615000.\nAnswer: -4*(p - 15375)*(p - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -266017, 8, -2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 155 - 155 - 5*q. Let d(o) = -3*o. Determine d(j(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74524337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26347, 106340, 239677, 426364, 666407, 959812, 1306585?\nAnswer: 1706732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1623 and 5?\nAnswer: 8115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1147182356 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-1*5)\/(((sqrt(72) + sqrt(72)*1)*2)\/sqrt(8)).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 80*f + 404. What is b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1695.4241 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40\/15*(-30)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*d + 143514 = -1328*d - 712*d - 1830*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 9*x**3 + 2*x**2 - 84*x + 72.\nAnswer: (x - 2)*(x - 1)*(x + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-30)\/125)\/(-6)). Let p = x + 28. Suppose 0 = p*j - 246 - 387. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972643241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2808792 and 294.\nAnswer: 19661544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1)*y\/(y*y\/(y**(3\/10)*y)*y)*y)\/((((y*y**(4\/5)\/y)\/y)\/y)\/((y**(4\/3)*y)\/y)) assuming y is positive.\nAnswer: y**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -25. Suppose -20 = -g*r + 35. Suppose -16 = -3*s + r. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2193*c**3 - 3*c - 1140 wrt c?\nAnswer: 13158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121393463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3450\/3 - (14\/(-14) + 1)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 19*j - 17*j. What is the remainder when 26 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-3 + 1 - 2). Suppose 0 - 30 = -5*f - x*w, -4*w = -20. What is the greatest common divisor of f and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 0.083?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 64*g**3 - 5*g - 10. Let k(u) = 255*u**3 - 21*u - 42. What is 5*k(o) - 21*r(o)?\nAnswer: -69*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255293 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -244520, -244476, -244432?\n\"Answer: 44*r - 244564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.4887132 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4096 or -4095?\nAnswer: -4095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by -5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9633898 days in weeks?\nAnswer: 0.4233414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(((g*g**(1\/23))\/g)\/g*g))\/g))**(-27) assuming g is positive.\nAnswer: g**(-648\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*i = 20, -j + 0*i + 2*i + 6 = 0. Suppose -j*y + 4 + 1 = -s, -5*y = -4*s + 13. What is the remainder when 173 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 18*m + 268. Let z be r(-15). Let y(s) = 3*s**2 + 5*s + 4. Give y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, r: 6, n: 1, i: 4, x: 1, b: 1}. Give prob of sequence ixbn.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 89 = -4*z + 3*z, 113 = z - 3*a. Let r = z - 66. Suppose -5*v + 10*v = r. Solve -3*x - x + 5*l + 9 = 0, 4*l + v = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 3*k - 6*k)*(0 + 1 + 0) - 2 + 2 + 2*k)*(-2*k - 2*k + 3*k + (-2 + 2 + 1)*(0 + 0 - 2*k) + 1 - 1 - 2*k)*(-3610 + 4408 - 2626).\nAnswer: 9140*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -116*r**5\/3 - 2168*r**4\/3 + 228*r**3 = 0. What is r?\nAnswer: -19, 0, 9\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**5\/10 + n**3\/6 - n + 2. Let z(m) be the first derivative of k(m). Find the second derivative of z(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j**3 - 47*j**3 - 4653 + 4654.\nAnswer: 5*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 2*f**2 + 27*f - 15. Determine n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 7 - 36456*v**4 - v + 36473*v**4 to s + k*v + q*v**4 + f*v**2 + h*v**3 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -29. Let n(x) = x**3 - 5*x**2 + 4*x + 1. What is n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w + 5*u = 46, 25 = 5*u. Suppose 0*t = w*t - 21. Let y be ((-54)\/3159)\/((-1)\/t). Which is the nearest to -2\/3? (a) 0.5 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and (-2)\/2 - (-148)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 not equal to -576\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6054267 and -93\/2254.\nAnswer: 593318166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - r + 2*r)*(8 + 4 - 10 - r) + (1 + 4 - 6)*(0*r**2 + 4*r**2 + 0*r**2) as y*r**2 + c*r + z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34 + -3 + 11 + (-2 - 1). Solve 8 = -j*i + 35*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by -119131.\nAnswer: 150\/119131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33407?\nAnswer: 11, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 96, 128, 144, 138, 104, 36?\n\"Answer: -k**3 + k**2 + 46*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7499652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/495 and 39\/64510820.\nAnswer: 580597380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen tenths of a microsecond?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22893179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 216*r\/7 - 384\/7.\nAnswer: -3*(r - 8)*(7*r - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6365)\/(-4750) - 1\/2. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(-1\/28))**(-2\/65)*((i\/i**(-8))\/i*i\/i**(-3\/8))\/((i*i*i**(4\/5))\/(i\/i**(-3\/4))) assuming i is positive.\nAnswer: i**(90913\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22333 + -1105.77667. Is -0.1 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18*60\/(-40).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186045 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v + 51*v + 760 = 0. Solve -v = 19*n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-40)\/420\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c + 8. Let t(v) = 48*v**2 + 2*v - 1. Let z be t(c). Suppose 0 = 8*m - 141 - z. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 11 + 5 + 6)*(-r - 3*r + 5*r).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 - 314480*j + 943404 = 0.\nAnswer: 3, 78617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 5\/307792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80990 and 0.0319.\nAnswer: -2583.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*1 + sqrt(130))*6)\/(sqrt(70)\/(sqrt(7) + sqrt(7)*-4)).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18457, 18570, 18683, 18796?\nAnswer: 18909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 450*x**3 + 2*x - 1. Let f be h(1). Suppose 91 = -9*n + f. Suppose -115 - n = -5*z. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -258 + 286. Sort -1\/3, 0, n in decreasing order.\nAnswer: n, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/4)*v**(11\/2) assuming v is positive.\nAnswer: v**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o**3 + 2*o**2 - 9 + 1\/600*o**6 + 0*o + 15\/2*o**4 - 1\/5*o**5. Find f, given that w(f) = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c + 2 = -52*c. Let m(j) be the third derivative of j**5\/60 - 5*j**4\/12 + j**3\/3 - 3*j**2. Let i be m(10). Is c != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952512516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsafrtr. What is prob of picking 1 s and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 79. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233941 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*j + 143 + 145 + 148 + 189*j - 437 to t + z*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 (base 7) in base 8?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 4 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017 divided by -101?\nAnswer: 2017\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o - 136*d + 139*d, 0 = -4*o - d + 15. Solve o*k - 5 = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147))**2 + -3 + sqrt(147).\nAnswer: -21*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213*h**2 - 145*h**2 + 88*h**2)*(-1 - 3 - 9).\nAnswer: 3510*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/41449 and 27\/724?\nAnswer: 165796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 4. Let a be t(-4). Let s(j) be the second derivative of j**5\/20 + j**4\/12 + j**3\/6 + 7*j**2\/2 + 4*j. What is the units digit of s(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -10*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39153.1 litres to millilitres.\nAnswer: 39153100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k - 415656 = -68*k. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) - (sqrt(45) + sqrt(5))*3).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 4*x + 6*x**3 - 4*x - 18*x**2.\nAnswer: 5*x**3 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 703 - 662.8. What is q rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/11)*p)\/(p*p**2*p))\/(p**(2\/15)*p*p**5\/p*p)*p\/p**(-3)*p**(-5\/4)*p**(-5)*p*p\/p**5 assuming p is positive.\nAnswer: p**(-8713\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984 - 1897 + 1163 = -10*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 110. Solve -d - 6 = -m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -126*n - 826. Is 150 a factor of l(-88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675242 is divided by 225007.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2507544*h**3 + 1253775*h**3 + 1253771*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 5. Let r(j) = j - 2. Let x be r(p). Calculate the remainder when (10\/3)\/(x\/(-3)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**4 - 16*a**3 + 22*a**2 - 20*a + 8. Let y(t) = -13*t**4 + 33*t**3 - 43*t**2 + 39*t - 16. Let s(f) = 4*y(f) + 9*z(f). Factor s(u).\nAnswer: 2*(u - 2)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*l + 6, -4*n + 34*l = 32*l - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaumajuujuju. Give prob of sequence jam.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2433 - 412603?\nAnswer: -410150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d64 + 364?\nAnswer: -a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1965*y**4 + 2*y**3 - 3496 with respect to y.\nAnswer: -7860*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 59. Suppose 4*h = t + x, 3*t + t = -16. Solve 45 = h*n + 5*b, 2*n - 2*b = -0*b + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 11955*z**2 - 23895*z + 11945.\nAnswer: -5*(z - 2389)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 - 7*m + 10. Let q be b(7). Suppose q - 275 = -4*y. Suppose -r + 0*g - 5*g = -y, -5*r = -3*g - 130. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (81\/12 + -1)*-16. Let z = c + 307. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46783 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and -0.453.\nAnswer: 8.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 3. Let n be d(-5). Let m(w) = -w**3 + 8*w**2 - 6*w + 2. Suppose 7*x + 0 = 56. Calculate the lowest common multiple of x and m(n).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -39.2. Let n = o + -1.41. Let z = n - 4.39. Which is the nearest to 0? (a) z (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose -o*u = -7*u. What is the second derivative of 5*d**4 - 4*d**4 + u*d - 2*d**4 - d wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00224455 to six decimal places.\nAnswer: 0.002245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -80070472 divided by -4\nAnswer: 20017618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 303\/101*1\/(-11)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 1.18\nAnswer: -0.0472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkefrkfffkfr. Give prob of sequence kkkf.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6416)\/8020*(-5)\/(-31).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/30 + 25*d**4\/24 - 10*d**3 + 333*d**2 + 2*d. Give z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381405411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-1 - -11) - -7 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-45)\/(-10) - 4) + (-2)\/4. Solve s = -k - 3*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2176024 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 475497194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.01579?\nAnswer: -0.004737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 47 = -36. Let y be (-1 - 0)\/(1\/(-127)). Let x = b + y. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than or equal to 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4\/(-18) + 3320\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let p = -1 - -3. Let s be z(p). Solve -18 = -4*o + 5*h, 0 = -0*h + 3*h + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -371, -24 in increasing order.\nAnswer: -371, -24, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - -0.81. Let m = 0 - -0.1. What is the closest to 0.1 in i, -1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 100\/171171 and 16\/20349.\nAnswer: 2909907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9112512 minutes in days?\nAnswer: 0.00479948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 0.43. Let n = 84.4 + -79. Let g = n - w. Which is the second smallest value? (a) -0.2 (b) g (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 494 + 100 = -3*k, k - 5*m = 142. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-8) + (-87)\/232.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -353\/2610 + 1\/522. Put 2, h, -1 in descending order.\nAnswer: 2, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 1. Let t(d) = d - 1. Let z(b) = 5*f(b) - 5*t(b). Let g(v) = 9*v**2. Calculate z(g(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {u: 1, j: 2, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 27*f**2 - 267*f + 29. Is k(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*s - 7 - 7 = k, 3*k + s + 457897 = 457904 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3\/3 - 47. Let c(s) = 2*s**2 - 2*s + 2*s. Calculate c(h(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42684, 341286, 1151798, 2730174, 5332368, 9214334?\nAnswer: 14632026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 20*y + 3. Let u = -30 + 10. Let r be m(u). Solve 0 = r*d + 14 - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1778)\/(-637) + (-8)\/(-28) + 5*(-42)\/70\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53983331 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) -3 (d) -6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-6)\/4)\/(-32*(-36)\/(-5376))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**4 + 123890*z**3 + 123860*z**2 - 619410*z + 371655 = 0.\nAnswer: -24777, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 123 = -13. What is the remainder when 76 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12217842269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u - 9. Calculate the lowest common multiple of q(3) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16546920?\nAnswer: 2, 3, 5, 13, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42473660 + 632*y - 42473660.\nAnswer: 632*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**4\/2 + 164*n**3\/3 + 147*n**2 - 116*n - 1729. What is k in t(k) = 0?\nAnswer: -2, 1\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-56) - 0)*1874\/(-4685).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 11*w**2 - 12*w + 1. Let a be k(-10). Suppose -r - 4*r = d + 39, -2*d - 2*r = 38. Let h = d + a. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 404.6 (b) 1\/2 (c) -2\/11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1320 + 1320.4. Sort 222, 3, z.\nAnswer: z, 3, 222","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 6*f - 5. Let j(s) = 6*s**2 - 17*s + 15. Calculate 6*j(t) + 17*y(t).\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 5*x + 16. Let k(r) = -r**3 + r - 1. Let c(g) = f(g) - 2*k(g). Let l be c(4). Is 2 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sts when three letters picked without replacement from {t: 9, s: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -52*a + 110. Suppose 0 = 3*i + 3*c - 3, -i - 34 = 5*c - 31. What is f(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(3\/4)*o*o\/(o*o**(3\/5)\/o)*o)**(-4\/15))**(-5\/4) assuming o is positive.\nAnswer: o**(73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321\/5 - -1921\/30. What is the closest to 64 in 2, g, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3768 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + 13. Let w be 165\/(-10)*(-5)\/((-15)\/6). Let k = w + i. Calculate the remainder when 47 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -9\/5, 2\/173, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 3*c. Let j be (-2)\/5 + 34\/10. Let k(t) = 2*t**2 - 4*t. Let s(p) = j*k(p) + 4*g(p). Let h(q) = 2*q**2. Determine h(s(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/5 - 628*z**3\/5 - 20238*z**2 - 3271968*z\/5 + 6953688\/5 = 0.\nAnswer: -63, 2, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 - 4*n + 2. Let c be j(3). Suppose c = 3*o - 2*p - 14, 4*o - 41 = 5*p. Let l = 24 - 20. Solve -o*s + 4*f + 1 = -3, s = l*f - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50617755913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -26596\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 5*g + 163. Let l be p(0). Suppose -3*w + l = -5*a, 3*w = -w + 2*a + 222. What is the greatest common factor of 98 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 3*h)*(8*h + h - 3*h)*(-h**2 + 6*h**2 + h**2)*(-3 + 3 + 1)*(-13 + 5 - 12).\nAnswer: -720*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/48465 (b) 1 (c) -1\/5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Let j = -5 - -2. What is the second smallest value in r, j, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101 and 4.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = j, 0 = 2*k - 0*k - 4. Put 5, j, -3 in descending order.\nAnswer: 5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136399891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805006?\nAnswer: 2, 3, 109, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -24.5. Let l be 2\/(-8) + (-9)\/(-4). Let k be (14\/(-595))\/(l\/10). Which is the closest to -1? (a) y (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 + -8)\/5)\/(1\/(-12)). Solve -4*g = -g - d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*d + 26, -4*w + 17 = 3941*d - 3936*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {n: 1, m: 6, h: 7, i: 2, g: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 - 2*f**2 + 4*f - 7. Let k(r) = r**3 - 13*r**2 + 10*r + 26. Let j be k(12). Suppose j*y + 50 = -8*y. Is p(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 - 5*s. Let w be f(-5). Let v be 4\/(-18) + w\/(-45). Calculate the greatest common divisor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, p: 3}. Give prob of sequence vvv.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 - (-3)\/(-65). Let q = 5.0431 - -0.0869. Let n = -6.13 + q. What is the nearest to 1\/9 in -4, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*g + 19 = 11, -3*g - 14 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879080772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 3*w + 273 - 271, -3*a + 4*w = -37 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpz when three letters picked without replacement from {n: 2, f: 4, z: 1, p: 1, m: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8063 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28879 - -45410. What are the prime factors of q?\nAnswer: 61, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -88. Let p = 17 + m. Let b = p + 94. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 2. Let z(i) = -4*i - 3. Let t(c) = 5*m(c) - 3*z(c). Let u be (4\/(-3))\/(-4)*9. Give t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662179792?\nAnswer: 2, 19, 2178223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 1, r: 3, h: 4}. Give prob of picking 1 r and 1 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27854 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 - (1 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/61)\/p)\/p*p*p)**(-2\/15) assuming p is positive.\nAnswer: p**(-4\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w + 4*h - 9*h, h = -5*w - 5. Solve -r + 0 + 2 = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 39, -11 in descending order.\nAnswer: 39, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 35.\nAnswer: -17\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Suppose 3 = 5*m - 0*t + 4*t, -5*t + 12 = -2*m. Calculate the smallest common multiple of j(m) and 8 - (2 + 1*-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3088 (base 10) to base 16\nAnswer: -c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 12*z + 27. Let t be y(-15). Let j = t + 75. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060315801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -14 + 2. Suppose 2*x - 208 = 4*f - f, -o = -f. Let b = -69 + x. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:53 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-203)\/87)\/((-7)\/2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 14 = -27*a. Suppose 0 = -26*g + 5420 + 6228. What is the greatest common divisor of a and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - r + 1. Let d(k) = 15*k**3 - 4*k**2 - 4*k - 25. Let y(t) = d(t) - 4*s(t). Find the first derivative of y(c) wrt c.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, 5, -5, 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3d74 (base 16) to base 7\nAnswer: -63603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*w + 2128 = -21*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1820968 divided by -31396.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + -4. Let g = y + 1.5. Let v(s) = -s**3 - 2*s**2 + 2*s + 1. Let q be v(-3). Put -5, q, g in ascending order.\nAnswer: -5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1141826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 8, 5179 - 5181 = 3*l + 4*g. Factor 0 + 2\/11*x**3 + 8\/11*x**l + 6\/11*x.\nAnswer: 2*x*(x + 1)*(x + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1527 - -1526. What is the closest to l in -3, 1\/4, 3, 30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182 - 40*q**2 - 2*q - 47*q**2 + 182 + 4*q - 1138*q**6 wrt q.\nAnswer: -136560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y**2 - 8*y. Let p be s(-3). Let z = p + -156. What is the greatest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4) - 1 - -5. Suppose -1 = 2*f - p. Let m be f\/7 + (-12)\/42. Solve 20 = -m*k + 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-4))\/(7128\/(-1056))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47293949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3245*h**3*s - 2*h**2*s + h*s - 3263*s wrt h?\nAnswer: -19470*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42144 + 0.03.\nAnswer: -42143.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**3 + 19*q**2 - 8*q + 34. Let s(i) = 8*i**3 + 17*i**2 - 9*i + 35. Determine 9*c(r) - 8*s(r).\nAnswer: -r**3 + 35*r**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.01 - -0.01. Let p = -4674 + 4671.999. Let z = p - q. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = b - 1, -2*b + 5*b - 53 = a. Calculate the least common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259090 and 3770.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 13*n + 38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, v: 1, m: 3}. Give prob of sequence vmc.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -8*r + 4*r + 95884. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/36*q**4 + 0 + 0*q + 77*q**2 + 1\/270*q**5 + 2\/27*q**3. Solve c(g) = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j**3 + 11*j**2 - 5. Suppose -387 = 13*f - 10*f. Let y = f + 132. Let t(m) = -4*m**3 - 4*m**2 + 2. Give y*v(z) + 8*t(z).\nAnswer: z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 4*h**2)*(1692 - 3270 + 1625 + 2*h).\nAnswer: 8*h**3 + 188*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 61 (c) 15\/14 (d) -0.1 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.026, -3, 0.4?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*q - 6. Let j = 0 - q. Suppose 5*f + 94 = j*p, 2*p - 2*f = -0*p + 106. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2\/5, 6, 1, 2.\nAnswer: -2\/5, 1, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 549798.7 years?\nAnswer: 549.7987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 64731*y - 304. Let l(p) = -28*p - 296. Let n be l(-10). Let o be i(n). Round o to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6060100 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(((1*sqrt(42))\/sqrt(3))\/sqrt(7) + sqrt(2592)*2 + sqrt(2592)))**2.\nAnswer: 594052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7.9 * -2073128\nAnswer: 16377711.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - a)*(5*a + 4*a**3 - 5*a) + (-8*a + 3*a - a)*(a**3 + a**3 - a**3).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 13 = -5*q, -3*q + 4*q - 4*s = -10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 1620, 2434, 3248?\nAnswer: 4062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116783?\nAnswer: 29, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7180 is divided by 613?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 divided by -212?\nAnswer: -691\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19987\/7 + -2860. Let l = j - -151\/35. Let w be (-2)\/(-12)*1*(-98 + -49 + 139). Which is the closest to l? (a) -4\/5 (b) w (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 - 5*r**2 - 10*r**2 - 34 + 16 wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from fffpffspppffffp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1098576 and 2544.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 26*h**2 - 163*h - 55. Determine a(16).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 3*m - 2*m - 4*m - 2*m + 4*m + (2*m - 3*m + 0*m)*(2 + 5 - 5).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 805602259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 27. Which is the fourth biggest value? (a) f (b) -4 (c) -3\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(5\/4)*u)\/u)\/u**7)\/(u*u\/(u\/u**1))**49*(u*u*u**2)\/(u*u**(1\/11))*((u*u*u**(2\/23)*u)\/u)\/(u*u\/(u*u**7)) assuming u is positive.\nAnswer: u**(-92855\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4979 - 4934. Which is smaller: 406\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1767*h**2 + 0 - 967*h**2 + 0 - 801*h**2. Let u(p) be the third derivative of -p**4\/24 - 29*p**3\/2 + p**2. What is u(q(r))?\nAnswer: r**2 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.32 and -54.674.\nAnswer: -17.49568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 10. Suppose 0*c = 3*o - d*c - 149, o + 3*c = 73. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 - 272091?\nAnswer: -272091.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 21. Let u be n(6). What is the least common multiple of 32 and 5\/(15\/u) + 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3640 - 3639.97229. What is q rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {q: 3, v: 4, c: 5, k: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 86281799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 568\/24 - 2\/(-6). Suppose -w = -4*w + b. What is the least common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 240568 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28533759?\nAnswer: 3, 67, 141959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 (base 12) in base 13?\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 0*l. Suppose -l*f - u = -2*u - 7, -5*f - u = -35. Solve -f = -a - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1031 + 1037. Let o(x) = x - 13. Give o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 40. Let b be -5 + -1 + (g - (2 - -4)). Let s = b - -9. Solve -k - s = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 0, 5*r + 2*t + 24 = 3*r. Let j(o) = -o**3 - 14*o**2 - 18*o - 11. Let n be j(r). Suppose 4*l - n + 14 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**4 - 3 + 21*u - 7*u - 9 - 5*u - 12*u in the form y*u**4 + x + w*u + i*u**2 + n*u**3 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 7384683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 + 8 + 3 - 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 5 = -5*i + 4*i + s, -154 = 75*i - 2*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2472 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 41*k**2 + 1. Let t be f(1). Suppose -o - 3 + 2 = h, 5*o = 3*h + 19. List the prime factors of -3*(o - t\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5839009 minutes to milliseconds.\nAnswer: 35034.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -140*t - 170. What is the units digit of v(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -18. Suppose -2*b - 4*w - 6 = 0, -2*b - 2*b = s*w. Solve 0 + b = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21877000 rounded to the nearest one hundred thousand?\nAnswer: -21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 591 + -578. Solve -5*l + 18 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(-16)*a))\/(a\/a**13*a)*(a**(5\/2)*a)\/a**7)**(-46) assuming a is positive.\nAnswer: a**(-1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602419.\nAnswer: 487, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.0789, 2, 1\/4?\nAnswer: -0.0789","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3070*b + 5309 + 9509 = -6672 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4726.231 rounded to the nearest 10?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112333615039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 1692*o\/7 + 357858\/7.\nAnswer: 2*(o - 423)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -323.\nAnswer: 8721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19c + -a?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31 + 6*v + 14*v + 0*v**2 + 8*v**2 - v**3 + 10*v**2. What are the prime factors of i(19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let o be i(-1). Suppose z - 4 = -o. What is the smallest common multiple of z and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588.5 rounded to the nearest ten?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3119 (b) 0.8 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 3*u - 5. Calculate the lowest common multiple of 6 and a(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 5\/(-1) - (-535)\/(-102). Let a = 7\/17 + n. Factor -1\/6*q**3 - a*q**4 + 5\/6*q + 1\/2*q**2 + 1\/3.\nAnswer: -(q - 2)*(q + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.049 + 0.049. Let v = g + 19.9999324. What is v rounded to six decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -35*l + 2328. Let s be h(48). Calculate the highest common factor of s and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (31\/(-3))\/(1\/(-3)). Let l = m + -95\/3. Suppose -5*o + 5 = -3*j, 0*o - 3*o = -4*j - 3. Which is bigger: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-2\/19)*g*g*g)**14*g**(-2\/5)*g**(-12) assuming g is positive.\nAnswer: g**(6662\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001602659379 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14241 + -11377. What is the remainder when c is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z - 3*w - 152, 4*w = 2*z - 58. What is the remainder when z is divided by 5 + (-30)\/33 + (-2)\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(17) + ((2*sqrt(102) - sqrt(102) - sqrt(102))\/sqrt(6))**2).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 15*u + 3*b + 3086, 2*b = -u - 620. Let r be (-5)\/(245\/u) - 7. Solve 12\/7*a**4 + 0 + r*a**3 + 33\/7*a**2 + 6\/7*a = 0 for a.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 7*o**2 - 6*o + 6. Suppose 0 = y + 5*z - 6, 0*y - 3*y = 4*z - 7. Suppose -5*q = 3*s - 27, q + 4*s + y = 3. Determine d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102711 * 7517\nAnswer: 772078587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/9 - 34*y**3\/9 + 26*y**2\/3 + 66*y.\nAnswer: 2*y*(y - 11)*(y - 9)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4385668 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p + 26197 = 25207 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f**3 + 5*f**2 - 4*f + 4. Let q be 2\/(4\/30*5). Let w be m(q). Let j be (-60)\/w*(-2)\/(-3). What is the smallest value in 5, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 10*t**2 - t - 8. Suppose -k - 40 = 3*k. Let j be g(k). Find the third derivative of j - 2*v**2 + v**2 - 2 + 3*v**6 wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -57*f + 2. Let j(s) be the second derivative of 113*s**3\/6 - 5*s**2\/2 + 15*s. Let v(p) = 3*j(p) + 7*y(p). What is the units digit of v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 5*u**4\/6 - u**2 - 21*u - 4. Let o(j) be the second derivative of g(j). Let r(i) = -2*i + 3*i + i. Give o(r(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 + 96404*q**2 - 42399436*q + 4705357980 = 0.\nAnswer: 223, 23655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 133 = -50. Let j = n - -57. Which is the fourth biggest value? (a) 1\/4 (b) -2 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (11 - ((-7 + -3 - -5) + 10))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 404 = -22*r. Let u = r - -444. Solve -12*j - u - 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (2*sqrt(99)*-1)\/sqrt(9) + 4 + -2)**2.\nAnswer: -28*sqrt(11) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z - z)*(0*z**2 + 0*z**2 + 2*z**2) + 2*z**3 - 2*z**2 + 4 - 4.\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 52*w - 30. Determine u(26).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 6*b - 2*b**2 - 49 = 0. Calculate b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606 (base 8) to base 14\nAnswer: -1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:57 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.12 and 0.02371 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, -4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010198689 rounded to 4 dps?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 + 52. Let m = 34 - t. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86194, -86205, -86216, -86227, -86238, -86249?\n\"Answer: -11*t - 86183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + f**2)*(-2*f + 4*f - 4*f)*(3*f + f - 6*f + (-1 + 0 + 0)*(0*f - 2*f + f) - f + 2*f + f + 0*f - f + 2*f - 2 - 4*f + 2).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 334.000000037 + -334. What is w rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4, -4*f + 5*m = -2*f - 14. What is the remainder when f is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.14 + -17.05. Which is the third smallest value? (a) 2\/7 (b) u (c) -3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 39786319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3533.8363 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkmmkkkkkkmakkkkkmm. Give prob of picking 3 k and 1 a.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -83*y + 41. Let g(w) = 82*w - 42. Let r(m) = -4*g(m) - 3*t(m). What is the tens digit of r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*5 - 2*sqrt(8)\/sqrt(4).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/145*5*1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11682529?\nAnswer: 11682529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*l + 274*l + 0*l**2 - 2*l**2 - 11 in the form n*l**2 + x*l + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19016, 5 in descending order.\nAnswer: 19016, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -193\/42*y**7 + 0*y**6 + 0*y**5 + 1 + 0*y**3 + 0*y**2 + 33\/4*y**4 - 9*y. What is the third derivative of l(q) wrt q?\nAnswer: -11580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 55, 4, 0 in descending order.\nAnswer: 55, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2739 - 2793. Is -30 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 - 5*s**2 - 2*s. Suppose 5*j - 84 = -16*j. Let i(g) be the second derivative of -7*g**5\/20 + g**4\/2 + g**3\/2 - 129*g + 2. Give j*y(k) + 3*i(k).\nAnswer: 3*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -36*d**2 - 940*d - 91. What is q(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -578, -1153, -1726, -2297?\n\"Answer: r**2 - 578*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**29*h*h**(3\/4))**(-20) assuming h is positive.\nAnswer: h**(-615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.33389 - 5.53601. Let h = l - -23.9. Round h to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)\/z)\/z*z*z**(-3\/7)\/z*(z*z**(1\/25))\/(z\/((z**(-1\/8)*z)\/z)) assuming z is positive.\nAnswer: z**(-6319\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-406 + 1082 - 393)*(4 + 4 - 6)*(-v**3 + v - v) as z*v**2 + y*v + q + t*v**3 and give t.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.075187 minutes in nanoseconds?\nAnswer: 484511220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfigglaflfglg. Give prob of picking 1 g, 1 i, and 1 a.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-31)*(54\/(-1215))\/(30\/135)*-30?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/24 - g**2. Let w(r) be the second derivative of -r**3\/3 - r**2\/2 - 17*r. What is 5*h(s) - 2*w(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*o - 12 + 4, -5*s = -20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 823 + 3133. Suppose -8 = -3*n + n, -2*k = 4*n - j. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - -9 - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207300493 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*a + 346*a - 6*t + 238 = 0, -a - 4*t + 159 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 14*v = 2*v - 1378. Solve 0 = 17*m + v + 49 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001011010110 - 0?\nAnswer: 11001011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 2520*r**2 + 7525*r + 5010.\nAnswer: 5*(r + 1)*(r + 2)*(r + 501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1333110 (base 4) to base 14.\nAnswer: -2d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -449? (a) -1\/5 (b) -3.7 (c) 282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29554.99925 - 29551. Let t = s - 4. What is t rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965 divided by -496?\nAnswer: -8965\/496","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001357684 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43\/2, -2\/41, -216, 1, -1, 8.\nAnswer: -216, -43\/2, -1, -2\/41, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.535279 from -6511911.\nAnswer: -6511925.535279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 14. Let u = -7 + q. Suppose u = -15*j + 14*j + 55. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-6)\/16*-2). Let k be (-9048 + l)\/((-14)\/(-28)). Round k to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 132 = -0*u - u, -2*b = 5*u - 88. Calculate the smallest common multiple of b and 5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*a - 34 - 37 = 0, 0 = 2*l - 2*a - 50. Suppose -28*m = -31*m + l. Solve -10*h + 7*h = m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 v when four letters picked without replacement from {k: 2, v: 3, b: 3, g: 2, s: 3, j: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 107, 126, 165, 230?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48924209.4 rounded to the nearest 100000?\nAnswer: -48900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - k = -10 - 44, 0 = 5*p - 4*k - 34. Let j be (-2)\/((-3)\/3) - (47 + 1). Let s = j - -53. What is the smallest common multiple of p and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.23626 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 3\/2*a**2 + 14*a + 0 - 17\/6*a**3. What is the remainder when d(-2) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2541.57831 milliseconds?\nAnswer: 0.000029416415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1077\/5 - 215. Let 0*z - 2\/5*z**2 + f = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 980 = -100. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - g + 299 = 3*g, -204 = -2*x - 5*g. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(0 + 58)*(-2)\/10. Let z = j + -52. What is the units digit of ((-213)\/12)\/(z\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**3\/3 + 9*j**2\/2 - 9*j - 8. Let y be i(-12). Solve k = -4*x + 16, -5*k + y = -2*k + 5*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9203 - 9203. Solve h = -48*a + 198 + 90 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v**4 - 300*v**3 + 1365*v**2 + 6840*v + 1836 = 0.\nAnswer: -17, -3, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/10, -2\/39 in decreasing order.\nAnswer: 3, 3\/10, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*k**6 + 2*k**4 + 2*k**2 - 139.\nAnswer: 13680*k**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d*d\/d**(-1\/2)))\/d)\/d*d**(-12\/13) assuming d is positive.\nAnswer: d**(-141\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -139022, -139025, -139028, -139031?\n\"Answer: -3*d - 139019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.2 * -2.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let v(w) = -604*w**2. Give v(c(o)).\nAnswer: -2416*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 366 - 2*s + 483 + 87.\nAnswer: -2*s + 834","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55187 and 1052903.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 3 + 6 - 5 + 3 - 4 - 1 + 4 - 4 + 6 - 3 + (-4 + 4 - 1)*(3 - 4 + 0) - 1 + 3 - 1)*(-1 - 2 + 0)*(4 - 4 + 2*f) to the form v + x*f and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let i(g) = -204*g - 1557. Let p(t) = 30*h(t) + i(t). Find the first derivative of p(a) wrt a.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 2 - 14. Let d = -404 - -682. Suppose d + 1496 = r*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h + 0*h)*(13 - 31 + 13 + 9*h)*(3*h + 0*h - 2*h).\nAnswer: 18*h**3 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7973, 15990, 24009, 32030, 40053?\nAnswer: 48078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, 3\/5, -4, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*b + 195. Let w be ((-16)\/10)\/((-26)\/b). Put 4, -1, -5, w in descending order.\nAnswer: 4, -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/70)\/((-1)\/5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35794 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 90 = -2*f - 3*f, -3*o - 5*f - 62 = 0. Let d = o + 26. Let a be 4*2*(-6)\/d. Sort -1, 5, a.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19611*d**2 + 14229 wrt d.\nAnswer: -39222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14454\/7 + -2065. Sort -2, w, 1\/3, -1\/6, 21 in increasing order.\nAnswer: -2, -1\/6, w, 1\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 2. Let u be b(4). Let y(n) = n**2 - n - 4. Let a be y(3). Let r(s) = -9 - 2 + 7*s**a - 4*s - s**3 + 10 - 4*s. Determine r(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 4:14 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3\/4 + 12210*y**2 = 0.\nAnswer: -16280, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131590053.\nAnswer: 3, 7, 2088731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4576\/(-520)*(-4440)\/814?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 241*t + 114. Give a(-120).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*1*sqrt(1700))**2 - ((sqrt(1700) + -1)*2 - (sqrt(1700) - (1 + sqrt(1700))*-1)**2).\nAnswer: 20*sqrt(17) + 686803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 105702128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/5 + 2. Let r = -105 - -112.3. Let l = r + -7. Which is the closest to 0? (a) 3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*q = 462*q + 7 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from sfhsshffhhhshh.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111619196.\nAnswer: 2, 13, 2146523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49886 = -1124*l + 8298 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 13 - 8\/3*g**4 + 4\/3*g**3 + 2\/21*g**7 + 21\/10*g**5 - 11\/15*g**6 + 0*g**2 + g. Determine p, given that j(p) = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 6819*d**2 - 103 + 247.\nAnswer: -6819*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -111. Let g be 21\/(-63) + 19\/k. Put 1, 0, g, 2 in decreasing order.\nAnswer: g, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.721 + 4.\nAnswer: 10.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-4)\/2 - (-3619)\/((-7)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-26))\/(884\/(-816)).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 885 and 1773717.\nAnswer: 8868585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (124 + -116) - 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 - (-85)\/15*3 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368598 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c + 18. Let w = 9 + 16. Calculate the remainder when w is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(27) + (sqrt(27) - (sqrt(27) + sqrt(27) + sqrt(432)*-4)))\/(6*(sqrt(9) - sqrt(9)*-4)) + -5.\nAnswer: -4 + 8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-20)*c)\/c**19*(c**14)**(-1\/41) assuming c is positive.\nAnswer: c**(150\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -73a?\nAnswer: 73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbn when three letters picked without replacement from yynyynnwjnwywywb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577019791.\nAnswer: 23, 25087817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-3*(-10)\/(-120)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 435 + 375*i - 838 + 24*i + 416. What is the tens digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**2. Let n(r) be the third derivative of 0 + 2*r**2 + 0*r**3 + 0*r**4 - 1\/10*r**5 - 12*r. What is g(n(z))?\nAnswer: -288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 1280987162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/2 - 17*r**2\/2 - 1387*r + 24804 = 0 for r.\nAnswer: -53, 18, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4873668 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2\/19)*w))\/(w\/w**(2\/3)*w))**8 assuming w is positive.\nAnswer: w**(-1112\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -44*w - 5*w**2 + 42*w + w**2. Give l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -633985 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*y - 30 = 587*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, 5, -5\/8, 4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 + -285.9305. Let d = -56.9305 - i. Sort -1, d, 0.5 in descending order.\nAnswer: 0.5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.10962 (b) -4 (c) -0.6 (d) 0.5 (e) 0.019 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478 - 478. Which is the second smallest value? (a) 2.05 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17 - (10 - -1)) + 24. Which is the fifth smallest value? (a) 147 (b) 7 (c) -5 (d) t (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 139 - 43 = 0. Solve -s*z = 3*t - 3*z + 3, -3 = 3*t - z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1.92, -3, -2?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 1 = -23. Suppose 2*k - 2 = 2*i + 4, 9 = 3*k - d*i. Suppose 4*m - 6*m = 6, 0 = k*l + m - 876. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dof when three letters picked without replacement from {u: 1, f: 1, o: 1, d: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o + h, -10 = -o - 2*h + 2. Suppose p - o = 4*c - 79, 2*p = c - 8. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**3 - 8*r**2 - 7. Let x(o) = -o**2 - 1. Give -2*m(i) + 14*x(i).\nAnswer: 12*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 21089772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(308)\/(sqrt(7) - (-1*sqrt(7) - sqrt(7))) + -4 + (sqrt(176) - (-1*sqrt(176) + sqrt(176)))))**2.\nAnswer: -1792*sqrt(11)\/3 + 36800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:52 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34760 is divided by 1336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -199*5\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277 + 585 - 87*h**2 - 308.\nAnswer: -87*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1 + 2*c**2 + c + 3*c - c**3 - c. Let w be p(3). Put 5, 3, w in descending order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/((-196608)\/128))\/((-11)\/(-8) - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 + 1200. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = -5*t - 19, 5*t + 9 = -2*b. Suppose -n + a = -6904, -b*n + 4*a + 20496 + 219 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22036206943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -517?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1. Let c(p) = 15*p**3 + 2*p**2 - 3. Determine -c(n) - 3*y(n).\nAnswer: -15*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from ywwyyvywyyzwyyyyw?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (2 + -4))\/(9\/5562). Which is bigger: -616 or w?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 14\/3875 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4 = -6, 0 = 5*b + j + 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, 108, 170, 278, 444?\n\"Answer: 2*r**3 + 5*r**2 - r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3616)\/10 - 6\/(-10). Suppose 0 = -5*r - 2*y + 2189, -1326 = -4*r + r + 3*y. Let u = r - x. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(176) + (sqrt(176) - (sqrt(176) + 2))**2 + -5) - ((sqrt(176) + 4 + 4)*-3)**2) + 1)*-5.\nAnswer: 2920*sqrt(11) + 10785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u**2 - 19*u - 88. Let z be r(-6). Let x = 954 + z. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + 5. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6813 + -6809. Suppose -20\/7*r**g + 0 + 0*r - 4\/7*r**3 - 8\/7*r**5 + 8\/7*r**2 = 0. Calculate r.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327130.55 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-3250)\/(-8))*2\/(-6). Let b = 134 + r. What is the nearest to 0 in 0.2, b, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - (-5)\/(40\/2016)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + 2*b - 2. Let v(g) = 15*g**2 + 7*g - 7. Let y(i) = -30*i**2 - 14*i + 14. Let x(n) = -5*v(n) - 2*y(n). What is -22*s(f) - 6*x(f)?\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:03 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, 5, 15\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 219548 = -17*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2. Let o(y) = 22*y**2 - 12*y**2 + 21*y**2 + 8*y**2. Determine q(o(t)).\nAnswer: -7605*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 18*m**2 - 8. Let s be f(-18). Let u = 21 + -9. What is the remainder when u is divided by (-2)\/s*6 - (-42)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009922223 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s**4 - 71580*s**3 - 28464980*s**2 = 0 for s.\nAnswer: -2386\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 1, q: 1, u: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, 0.4, 0.47 in descending order.\nAnswer: 1, 2\/3, 0.47, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/389 and -16\/1167?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/27)\/(64\/4320).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-78 + -18 + 61).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-4)\/(-8))*2. Let s(o) = v - 5*o + 0 - 1. Let k(q) = q**2. Give k(s(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -112*l - 331. Let d be f(-3). Solve 10 = 5*h + d*g, h - 4*g = -2*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2302.624 - 2312. What is g rounded to 1 dp?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/60 + r**5\/15 + r**4\/8 + r**3\/3 - r**2. Let m = 37 - 39. Determine u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*x**4 + 12*x**4 + 2324918*x**2 - 2324920*x**2 - x + 5*x**3 to u*x + d + o*x**3 + t*x**4 + c*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**7\/6300 - b**5\/300 - b**4\/24 - 4*b**2. Let t(u) be the second derivative of v(u). Let t(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -247035 or -247280?\nAnswer: -247035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 8.93.\nAnswer: -9.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 24*o - 36 = 0. Calculate o.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j. Let l(x) be the second derivative of 11\/6*x**3 + 0 + 48*x + 0*x**2. Determine a(l(v)).\nAnswer: 66*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/214406852 and 67\/2.\nAnswer: 214406852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4*h**2 + 116*f**4*h + 2*f - 235*h**2 wrt f?\nAnswer: 24*f**2*h**2 + 1392*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -588 and -630 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (362*h**2 + 1 - 3*h + 366*h**2 - 727*h**2)*(0 - 4 + 2) in the form f + r*h + l*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1573) - 2*(sqrt(1573) + sqrt(1573) + -1)) + 4)**2 - (4 + ((sqrt(1573)*1 + -3)**2 - ((-2*sqrt(1573) + sqrt(1573))*-4 - sqrt(1573))**2)).\nAnswer: -462*sqrt(13) + 26792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 3*w + 1, -455*w + 459*w = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/210 and 53\/7509180.\nAnswer: 7509180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -24, -243 in decreasing order.\nAnswer: 2, 1, -24, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -39 in decreasing order.\nAnswer: 4, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + c + 35. Let g be (c\/(-14))\/(1\/2). Let n(s) = -13*s - 7. Let p(v) = 13*v + 8. Let m(a) = 7*n(a) + 6*p(a). Give m(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - 151 + 85*q**2.\nAnswer: 85*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 323 + 71. What is the remainder when 285 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28\/(-35)*(-1750)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.461 + -4.539. Which is the nearest to j? (a) 1 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171153 is divided by 1338?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -1424?\nAnswer: 33\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 + 25*u**3\/2 + 78*u**2 + 178*u + 136.\nAnswer: (u + 2)**2*(u + 4)*(u + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(1008) + sqrt(1008) + -2 + sqrt(1008) + sqrt(1008)))**2*2 - (0 + (-4 + sqrt(1008)*1)*-5).\nAnswer: -1548692 + 18492*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 170*h + 1107. Determine i(-7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.6 + -63002986.648.\nAnswer: -63002979.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 25*y**2 + 43*y + 57. Let t be m(23). Let w be 56\/t*6\/20 - -1. Which is the closest to 3\/4? (a) -8 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173097 and 3240?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 24. Suppose -2*r - 12 = -6*r. Suppose 5 = -4*k + 3*a, 0 = -3*a - 2*a + 15. Sort r, c, k in increasing order.\nAnswer: c, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = 0, -7*z = -2*z + 5*g - 30. Suppose z*p - 4 = 8*p. Solve -p*c + 5*c = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - u = -22, 42*i - 38*i = 2*u - 30 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4 = 0, 0*d - 2*d + 2*z + 6 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -384.00274 - -384. What is g rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10576\/75 + -141. Sort 3\/4, 0.1, k in ascending order.\nAnswer: k, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4032, 8076, 12124, 16176?\n\"Answer: 2*t**2 + 4038*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 10\/3*s**4 + 0 - 4\/3*s**3 + 1\/5*s**2 - 51*s. Let h(g) = 0. Calculate g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 17*u - 14*u = 1, 3*s = -2*u - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xujeljuxjueeeltt. What is prob of picking 1 u and 1 j?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*k**5*x + 116*k**5 + 2*k**2*x - 4*k**2 + 13*x + 2 wrt k.\nAnswer: -1500*k**2*x + 6960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -421\/8 - -1255\/24. Let k = 0.16 + -0.14. Which is the nearest to -0.03? (a) -0.5 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62157345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -3*o**2\/2 - 6*o - 3. Let q be x(-5). Let v = -2 + q. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658 times 0.4\nAnswer: 263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyhyhhh. What is prob of sequence yyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16585655?\nAnswer: 5, 79, 199, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-12))\/(1\/(-23)). Calculate the greatest common divisor of g and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 15*d - 25 = 0. Let t = -49 - -40.6. Let k = t + 8. Which is the third smallest value? (a) d (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 113471654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 3*s - 4*s)*(-1438*s + 17408 - 8702 - 8704) as c*s**2 + w + x*s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -15. Suppose -3*z + 28 = -2*t + 138, 0 = -o*t + 4*z + 166. Round t to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:30 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - i - 14, -2 = -5*o - 2*i. What is the smallest common multiple of o and (4 - 2) + 8 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 128049*c + 5511654.\nAnswer: -3*(c - 43)*(c + 42726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 e when three letters picked without replacement from {r: 1, h: 1, e: 5, c: 3, s: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 4*m**3 + 2 + 241*m**2 - 219*m**2 - 1 + 3*m**3 + 11*m + 3*m**4 in the form z + u*m**3 + y*m**2 + f*m + l*m**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -727 + 744. Calculate the least common multiple of 9 and i.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*q = 38, 7*t + 4*q - 427 = -56*t - 32*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1810, 1820, 1834, 1852, 1874?\n\"Answer: 2*q**2 + 4*q + 1804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -316651 bigger than -2216566\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/4, 0.681?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.2057. What is r rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 38 + 82 - 36 - f. Let i(u) = 2*u**2. Determine i(l(x)).\nAnswer: 2*x**2 - 336*x + 14112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 2*n = -72*w + 151 - 1261, w + 31 = -0*n + 3*n for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -319*t - 2. Let c(n) be the third derivative of -n**5\/6 + 825*n**2 + 2*n - 3. Give g(c(f)).\nAnswer: 3190*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prprlpylprc. What is prob of picking 1 y and 2 p?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:14 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*k**3*o*x + b*k**3*o + 12*b*k**2*x - 31*b*k*o*x + 6393*k**3*o*x + k**2*x - o*x wrt k.\nAnswer: 24*b*o*x + 6*b*o + 38358*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 32.2. Let w = 111.91 - 111. Let x = w - 1.01. What is the closest to x in 2\/13, z, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v + 92 - 86 + 5*v + 3*v**3.\nAnswer: 3*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 + 193. Suppose -b*p - 3*x + 170 = 0, 7*p - 8*p = -x - 85. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppli when four letters picked without replacement from ilppppllp?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313697 divided by -231?\nAnswer: 5687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10599?\nAnswer: 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(239\/18642)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1043215*u**2 + 1387032*u.\nAnswer: -2086430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 10 + 8 = 0. Calculate the highest common divisor of z and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31220 and 1031620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 497*15\/((-105)\/49). Which is smaller: -3480 or j?\nAnswer: -3480","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 36. Let k be (2\/f)\/(12\/204). Let w be (-200)\/(((-51)\/121500)\/k). What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:48 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -3)*(-3 + 4). Suppose l = 3*t - 2*t - 8. Calculate the smallest common multiple of 196\/6 + (t\/(-12))\/1 and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t - 974. Let y(p) = 37*p + 1948. Calculate -13*n(u) - 6*y(u).\nAnswer: -u + 974","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 4, t: 5}. What is prob of picking 4 e?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.86008 - 0.13992. Let y = 0.7 - 1. Let m = y - -0.1. Which is the second smallest value? (a) -1\/4 (b) 12 (c) m (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 17*m + 8*m**4 - 4*m - 11*m**3 + 3*m**4 - 2*m**4 - 2*m**5 - 3*m**2 = 0. Calculate m.\nAnswer: -1, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -7 - (7 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*q, 2*s = s - 5*q - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 383000 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:37 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*c + 2148 = 403*c. Solve -5*f = -4*p + c, 5*p + 18 = 3*f - 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 + 66 = 11*a. Solve z = a - 33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -3)\/((-6)\/(-3)). Let t(j) = -3*j + 1. Let m be t(y). Let h be 16 - 0 - (2 + m). What is the greatest common divisor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/359?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 + 60 = 37*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 62442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1037*h + 1705*h - 103606 + 21346 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 - 185. Let b = -0.11 - -4.11. What is the second smallest value in x, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17732.1823 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 - -11.4. Let i = -6.7 + y. Which is the fourth smallest value? (a) 1\/2 (b) i (c) 0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 9*h**2 + 6*h = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2\/4 + 9824835*v\/4 - 9824855 = 0.\nAnswer: -1964971, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 1\/3 (c) -4\/9 (d) 193 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -61*u - 77. Let k(a) = -15*a - 19. Let s(z) = 2*d(z) - 9*k(z). Let v be s(5). Suppose v = 2*i - 38. Calculate the highest common factor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1303 + 2684. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 0 (c) -3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 11*o + 19. Let f be v(8). Let c(d) be the first derivative of 16*d**3\/3 - 3*d**2\/2 - 4*d + 2. Is c(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*o**2 + 2\/3*o - 1\/3.\nAnswer: -(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5 + 4196*m**4 - 8191*m?\nAnswer: -20*m**3 + 50352*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*c - 101*c - 2000 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Solve -6*k + 3*k + n = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38460 + 6089 - 3492)*(-4*o**3 + 3*o**3 + 3*o**3) as l + z*o**3 + q*o + x*o**2 and give z.\nAnswer: 82114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3010220515 + 4?\nAnswer: 3010220523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 173*s**3 - 9*s**2 - 2*s + 120. Let q(m) = -m**3 + m**2 + m - 2. Let w(x) = d(x) + 2*q(x). What is the third derivative of w(a) wrt a?\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/(i*i*(i\/i**(1\/40))\/i)*i**(9\/8)*(i\/(i**(-3\/13)*i))\/i assuming i is positive.\nAnswer: i**(-4581\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -336, -730, -1274, -1968?\nAnswer: -2812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a**(-3\/11))\/((a*a*a*a**(-5\/2))\/a**(-3\/7)) assuming a is positive.\nAnswer: a**(-1571\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 3 (b) 0 (c) -0.011 (d) 56\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 304*h - 105. Is c(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 10. Let m(s) = -3*s - 19. Let c(o) = -11*b(o) - 6*m(o). Suppose y - 12 = -15. List the prime factors of c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**4\/x)\/x))\/x**(-2\/11)*(x\/x**7)\/(x\/(x\/(x**(-1\/8)*x))))\/(x**(-2)\/(x*x**(-1)*x))**(-45) assuming x is positive.\nAnswer: x**(-12557\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 - 184. Suppose -15*o = v*o - 51. Factor -1\/4*d**2 + 1\/4*d**o + 0 + 0*d.\nAnswer: d**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (12 - 4)) + 11 + -16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -666*f + 84. Let w be y(3). Let x = -1366 - w. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537444 (base 8) in base 4?\nAnswer: -223330210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*p + 47795 = 331*p. What is the remainder when p is divided by 175?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 4 - 13*k - 5. Let g be o(-8). Suppose -3 + 50 = t + 2*y, 0 = 3*t - y - g. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1)\/o)*o)**(-29\/5))**(-34)*(o**0)**23\/(o**(4\/7)\/o**(-8)) assuming o is positive.\nAnswer: o**(27308\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 263217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -13703244, 4 in descending order.\nAnswer: 6, 4, -13703244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let d be (-44)\/550 - 104\/(-50). Let v(m) = -d*m**3 - 80*m - 79*m + 1 + 0*m**3 - 2*m**2 + 159*m. Calculate v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 371*k - 373*k, 26 = b + k + 2*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*p - 28 - 88*p + 44*p as y*p + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 470571*o**2 - 219969*o wrt o.\nAnswer: 941142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265 (base 8) to base 11.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*l - 97*l - 173*l.\nAnswer: -539*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 34. Calculate the remainder when t is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*z + 2*k, 19*z - 16*z - 14 = 2*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -1251*i**8\/112 - 23*i**4\/12 - 11*i**3\/2 - 2*i**2 - 2*i + 102. What is the second derivative of t(h) wrt h?\nAnswer: -75060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 160*q**4 - 317*q**3 - 158*q**2 = 0. What is q?\nAnswer: -158, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 + 28 - 5) + (-3 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/24 - b**5\/30 - b**2. What is the third derivative of h(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xid when three letters picked without replacement from {g: 2, x: 2, i: 3, d: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 + 11*d + 11. Suppose -3*x - 11 - 22 = 0. Let w(f) = -2*f**2 + 4*f + 4. Let k(j) = x*w(j) + 4*p(j). Let y(r) = 5*r**2. What is k(y(z))?\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/2)*f**(1\/6))\/((f*f**(-2))\/(f*(f\/f**(-5))\/f))*((f*f**(-2\/9)*f)\/(f\/(f*f**(-1\/2))*f))\/(f**(-1\/2))**44 assuming f is positive.\nAnswer: f**(557\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532 - 2 - (-2 - 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/6*(3 - 0). Suppose 4*o - 15 = s. Let k(y) = -y**3 + 8*y**2 - 5*y - 10. Let g be k(7). Solve -22 = o*n + z, 0 = 5*n - 0*z - g*z + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czs when three letters picked without replacement from {s: 1, n: 2, z: 2, c: 6, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 18. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17081 and -3094.\nAnswer: 52848614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**5\/3 + 300*v**4 + 6814*v**3\/3 - 3324*v**2 + 2272*v\/3 = 0. What is v?\nAnswer: -8, 0, 2\/7, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 4*k = -5*q - 232, 0 = 4*q - 63*k + 116*k - 57*k + 248 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1598, -39, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1700)*-2.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390*-0.7.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 159*m - 161*m + 19*p, 0 = -5*m + 2*p + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24972 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d - 32 - 40 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 1 - 1 - 2*g**4 + g**4 - g**4 + (0 + 2 - 1)*(-4 + 4 - 3*g**4) - 9 + 11*g**4 + 65*g**3 + 91 - 82.\nAnswer: 5*g**4 + 65*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174840 != -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -707 (base 10) to base 2.\nAnswer: -1011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrr when three letters picked without replacement from xrrwxwxrrxxxxrwwrrw?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 70.4. Which is the biggest value? (a) -0.2 (b) -5 (c) -0.1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 2)*3\/(-6). Suppose -g*l = 2*l. Suppose l = -2*a + 4 - 2. Put 4, a, 3 in increasing order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-203)\/(-10)) + 1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -w + 1065 = v*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 4}. What is prob of sequence qsq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 190 = -4*d, q + 5*d - 43 - 24 = 0. Solve -93*k + 6 = -q*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -391 - -451. Suppose -5*p = 2*f - 12 - 12, 5*f = -5*p + v. Solve -f = 5*x - 3*q, -5*x + q = -q + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s - 11. Suppose 4 = 28*a - 27*a. Let o(h) = h**3 - 2*h**2 + 2. Let y be o(2). Solve 16 = t + s*i, -y*t - t = -a*i + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 215\/6, 37838.\nAnswer: 6, 215\/6, 37838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 87 - 51 = 0. Let s = l - -27. Suppose -6 = -s*o + 5*o. Is o equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -1.81. Let i = -6.9 + f. Suppose 0*z = -2*z - 2*c, -c = -3*z + 8. What is the nearest to -2 in z, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*n)*(-3 - 4 + 4)*(2 + 0 + 0)*(-38*n + 374 - 374).\nAnswer: -684*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + ((sqrt(152)*-2 + sqrt(152))*-1 - sqrt(152) - sqrt(152)))\/sqrt(8)*2 + -5 - (-4 + (sqrt(475)*-4 - (sqrt(684) + 0))))**2.\nAnswer: -52*sqrt(19) + 12845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -15245?\nAnswer: -15240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(330\/8)*(-45390)\/340)\/((-28)\/(-154))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + k + k)*(1 + 0 + 1) + 3*k - 3*k + 2*k + 0 + 0 - 2*k)*(2*k - 3*k + 2*k)*(3 - 5 + 3).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (201\/2)\/(-11 + (-1413)\/(-126)) and 11.\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 5, r: 3, j: 7}. Give prob of sequence jjxu.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - -0.06384\nAnswer: 0.11384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 3*u**5\/100 + u**4\/10 + u**3\/10 + 25*u. What is a in b(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2412*i - 31353. Determine b(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 6:17 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*d - p + 5, d + 1 = 2*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3506238.\nAnswer: 2, 3, 41, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -84156.849 rounded to the nearest 10?\nAnswer: -84160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 485018 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*n**2 + 55*n**2 + 50*n**2 - n**3 - 3*n + 54*n**2 - 1 as k*n**3 + u + a*n**2 + g*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*z + 68880, -63*w + 17221 = -62*w + 2*z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 18*n**2 + 24*n + 14. Calculate c(-16).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -4, -2058, 0, -2\/9 in increasing order.\nAnswer: -2058, -5, -4, -2\/9, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -57426, -3, 3.\nAnswer: -57426, -3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 143059\/4364?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*f**2 - 922*f + 922*f.\nAnswer: 190*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j - 56. Calculate v(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 106 = -11*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 140*g = 690. Put 16, g, -4, 15 in ascending order.\nAnswer: -4, g, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -113, -186, -269, -362, -465, -578?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(((j**(2\/19)*j*j)\/j)\/j)*j)*(j*j**35*j)\/j assuming j is positive.\nAnswer: j**(667\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 13*m - 33. Let q be h(16). Let t = -10 + q. Let y = -4 + 4.3. Put y, t, 3 in increasing order.\nAnswer: y, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18897 is divided by 3733?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100904249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13643094, 27286187, 40929280?\nAnswer: 54572373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*j - 1210*j + 413*j.\nAnswer: -178*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (-6 - -22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 7*h**2 - 13*h + 3. Calculate the least common multiple of a(-2) and 61.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1767*w + 11850 = 128472 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 168*f. Let s(a) = 4*a - 2. Give j(s(g)).\nAnswer: 672*g - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*d**2 - 2 + (-2*d + d + 0*d)*(-3*d + 4*d + 0*d) - 5*d**2 + 7*d**2 + 25*d**2 to i*d + t*d**2 + j and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21613, -21602, -21569, -21502, -21389, -21218, -20977?\nAnswer: -20654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8002 + 3127.3\nAnswer: 11129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -28.5. Sort i, -3, 3 in decreasing order.\nAnswer: 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27102 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/6 - l**2. Let q(v) = -v**2 + v + 1. Let g(f) = -2*f**2 + 3*f + 3. Let d(w) = -g(w) + 3*q(w). Determine a(d(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 - 11*g - 4. Let i be c(-11). Let a(r) = -r**2 - 7*r + 1. Is a(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4\/3 + 116*z**3\/3 + 360*z**2 + 2800*z\/3 - 4000\/3 = 0 for z.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.74 + -0.26. Let p be 915\/610*((-38)\/(-21) + -2). Which is the second smallest value? (a) p (b) -12 (c) 2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*u = -42, 487*i + 2*u + 28 = 490*i. Sort -5, 240, i in decreasing order.\nAnswer: 240, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 13512?\nAnswer: 67560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m. Let u(p) = -9*p + 33. Let d(x) = 5*c(x) + u(x). Calculate the remainder when 43 is divided by d(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose b = -2*f - 26. What are the prime factors of (-12)\/f*(0 + 7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*y = -134*y - 131*y + 70785. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 2, w: 3, k: 4}. What is prob of sequence ukwu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/276462 and 121\/24.\nAnswer: 1105848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 515c - 339?\nAnswer: 4b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b476 - -18c?\nAnswer: 1b635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2916))\/sqrt(12).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 1788*y - 165584 = 0. Calculate y.\nAnswer: 131, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 270688627 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*(-6)\/2. Suppose 823*j + 85 = 818*j + 2*v, 4*v - 66 = 2*j. Sort j, r, -5, -4 in increasing order.\nAnswer: j, -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**2 - 40*y + 954. What is the units digit of k(-51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77751 and 5850722?\nAnswer: 2790794394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 10:14 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*t - 2*t**3 + 20*t**2 + 122*t to the form z*t**3 + q*t + m*t**2 + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -56. What is the remainder when 16 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -2 - (1 + (4 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 101*h**3 + h**2 - h - 1. Let k be a(1). Suppose 100 = -0*u - 4*u - 3*s, k = -4*u + 3*s. What is the units digit of 5\/u - 466\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01578401 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 10*t**2 + 11*t**3 - 10*t**2 + 6*t**2.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (4 + -4 + 0 - 815). Let x = -489 + p. What is x rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 116, 107, 96, 83, 68, 51?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/4 - 843*o**2\/2 + 723945*o\/4 - 2788900 = 0.\nAnswer: 16, 835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 7. Let c be b(-5). Suppose -4*r = -r - 3. Suppose 2*p = p - r. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsudhihuh. What is prob of picking 1 d, 1 s, and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 86, 184, 332, 536?\n\"Answer: v**3 + 16*v**2 - v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3528*z + 35366. Calculate p(-10).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 4*d - 3*d)*(-4*d + 0*d + 5*d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2))\/m**0*(m**(2\/3)\/m*m)**(-1\/22) assuming m is positive.\nAnswer: m**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1686*k**3*z + 223*k**3 - 624*k**2*z + 2726 wrt z.\nAnswer: -1686*k**3 - 624*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18328 - -103728. Is r\/12 - 1\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-59)\/3 + 4\/(-6). Calculate the greatest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 9*c**2 + 14*c + 9. Let f be r(9). Let m = f - 44. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*k - 2*z, 8 = -4*k + 5*z + 33. Let m = 27 - k. What is the remainder when (-4)\/(-22) + 2888\/88 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 4, k: 1, h: 2, r: 6}. Give prob of picking 1 x, 2 k, and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:56 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 38394\/188767?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 32 = 0. Let m be (-2)\/v + 36\/16. Factor 5\/4*j**3 - 1\/2*j + 3\/4*j**m + 0.\nAnswer: j*(j + 1)*(5*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-10))\/((429114\/9520)\/(-601))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 25*c - 22*c. Suppose 4*h = q - 340, -q = -3*q + c*h + 695. What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096832759.\nAnswer: 3907, 792637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -5, 14, 49, 106, 191, 310, 469?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/12 - 4*r**3\/3 - r**2 - 5*r. Let o be j(8). Is (-6)\/o*1534\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13098 and 30444.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 k when three letters picked without replacement from fffekcfeffsk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/10615 and -73\/440?\nAnswer: 84920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c - 1. Let z(o) = -21*o**2 + 28*o + 28. Determine 28*a(n) + z(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da - 1a?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 + -113. Suppose -o = -3*k + 8, o = -4*o - 2*k + c. Solve -u - o*u - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16810*o**2 + 50468*o**2 - 14*o - 16826*o**2 - 16766*o**2.\nAnswer: 66*o**2 - 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.76135 to zero dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - s = 6 - 2, -3*a - 5*s + 20 = 0. Suppose -5*h + 638 = 2*w, 2*w - a*h = -7*h + 632. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3 - (3 - 3)) - -10. Solve v + 0*f = -4*f - u, -v = 2*f + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*g - 593 = 283*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -3?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161 + 163. Which is the closest to j? (a) -1 (b) -1\/17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*m = -25*m - 474*m + 14145 - 684 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -693879 - -10.\nAnswer: -693869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003202231 (base 4) in base 12?\nAnswer: 114125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 + 0.2. Let g = c - -2.3. Let j be -1 - (0 + 0) - 0. Put 4, g, j in descending order.\nAnswer: 4, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 12*v + 4. Let g be b(-6). Solve 5*h + g*k - 21 = 0, -4 = 4*h - 5*h - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (790\/(-4))\/((-4)\/960). Round m to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 10*m - 3. Let s be g(-9). Let y(d) = 7*d**2 - 13*d + 12. Is y(s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - -9) + 5 - 1) + 23 - 3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0478617 and 2097030?\nAnswer: 2097030.0478617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (5 - 2 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 1. Let n(m) be the third derivative of 0*m**4 + 2*m**2 + 0 + 1\/150*m**5 + 1\/525*m**s + 0*m**3 + 0*m - 1\/150*m**6. What is u in n(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-998 - -1002)*5\/(10\/12)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/10 - f**3\/3 - 25*f**2\/2 - 276*f. Is 61 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*q - 6, -4*q + 15 = -4*b - 3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 + 0.2. Let d = a + -0.24. What is the closest to 1 in 2\/3, 3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749594.\nAnswer: 2, 374797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -16763.\nAnswer: -138\/16763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 0. Suppose l + 4*l = m. Which is the nearest to -2? (a) 3\/5 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677802?\nAnswer: 2, 7, 37, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*g - 25 - 67, -5*g - 2*f = -122. Let o = 140 + -131. Calculate the remainder when g is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/12)\/((-115)\/460)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774248.\nAnswer: 2, 17, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -0.1, -1\/6, -1, -0.02?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 6 = 3*t + 2, -36 = c - 75636*t + 75640*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406.27 - 2.73. Let j = x + 408.9999801. What is j rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 166 * 8\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327 - 550. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*c - 6*c + 3*c)*(c**2 + 1224*c**3 + 4*c - 1289*c**3 - c**2 + 1) to a*c + l + o*c**3 + n*c**2 + q*c**4 and give n.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6888)\/30)\/7)\/(-1)*-15*(-32)\/(-1920)?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 6*y - 8568. Suppose -4*o = -2*o. Suppose 3*k = -b + y, o = 3*b - 2*b + 3. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d - 1854019 + 1853859 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/58124 and 93\/13210.\nAnswer: 290620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 - 1 - 36*c**3 - 2*c + 2*c + 3279*c**2 + 33*c**3 to i*c**2 + p + o*c + h*c**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2*v**5\/5 - v**4\/2 + 24*v**2 - 2*v - 37. Find the second derivative of t(d) wrt d.\nAnswer: -24*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 553469.2l?\nAnswer: 553469200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2705 (base 13) to base 14.\nAnswer: -206a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 5*i + 9. Let m be a(-7). Suppose -3*n - 7 = -19. Let s = 6 - n. Sort -3, s, m in descending order.\nAnswer: s, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1314*z**4 - 89225*z**2 - 322153395*z.\nAnswer: 15768*z**2 - 178450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -14867\nAnswer: -327074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1*10\/(-90))\/(525\/(-1350))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9284*r + r**3 - 9284*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 105 = -28*g. Let t be (-2 - 30\/g)\/(8\/(-56)). Suppose 15 = 4*o + o. Solve -t*c - o*w = -6*c - 1, 3*c - w = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*o = -0 - 5, d + 3*o = 8. Suppose -d*u = -8*u - 189. Calculate the greatest common divisor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -39*v + 273. Let z be b(7). Solve -12*o - 33 = -16*o - 5*h, z = -5*h + 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -153201 and -153200 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k**2 - 8*k + 24. Let a(r) = 2*r**2 - 1. Let c(w) = -12*a(w) - p(w). Factor c(f).\nAnswer: 4*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6615 < -112450\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -128*r. Let s(x) = -23*x**2. Calculate s(t(n)).\nAnswer: -376832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 + 9*h + 47 - 4*h)*(0 - 2 - 1)*((3 - 4 + 0)*(-3 + 1 + 3) + 0 - 4 + 2 - 3 + 1 + 1 + 3 + 1 - 5 + 2 - 3 - 1) to the form r*h + p and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -2. Let q = 15 + g. Solve -4 = -4*d + q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaaacaaaaaaa.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = -4*j. Sort -1, -0.2, j, 0 in ascending order.\nAnswer: j, -1, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.858 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 4*c**2 - 2*c + 4. Give m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25802 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(p - p + 2*p**2) + 0*p**2 + 4*p**2 - p**2 + 0*p**2 + 2*p**2 + 3*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8377.373 decades in centuries?\nAnswer: 837.7373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7356 and 10?\nAnswer: 36780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 + 1. Let h be a(-5). What is the units digit of (7\/3)\/((-1)\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 - h**3 - 2*h**2 - 3*h + 4. Let g be b(-3). What is the highest common divisor of 81 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2480 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m*s**2 + 1146*m + 2*s**3 wrt s.\nAnswer: 4*m*s + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-25 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*a - 3. Suppose -1 + a = z. Suppose 0 = -q + 2*x + z, -4*q + 4*x + 44 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.702183679 less than -5418?\nAnswer: -5425.702183679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f**2 - 13*f + 9. Let a be h(10). Let q(s) = -s**3 + 4*s**2 + 5*s + 14. Let v be q(0). List the prime factors of (-4 - (-52)\/v)*a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + m**2 + (4*m + 0*m - 3*m)*(4*m - 2*m - 4*m) + 114 + 7*m**2 - 2*m - 114.\nAnswer: 6*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0319 + -60\nAnswer: -60.0319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcc when three letters picked without replacement from {l: 6, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, h: 4, q: 2}. Give prob of picking 1 o and 1 h.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 902 + -897. Solve 0 = -y - n + 3, -4*n = -5*y + n + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - 12 - (3 + -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*g + 9*g - 16, 2*g + 3*k = 16. Let j(z) = -3*z + 89. Let y be j(30). Which is the fourth biggest value? (a) y (b) -2\/5 (c) 3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:01 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + b + 305 = 0, 2*m + 0*b = -2*b + 622. Let y be 2\/(-3) - m\/(-21). Suppose -2*p + n + 6 = 4*n, 4*p + 5*n - y = 0. Which is bigger: 32\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*y**3 - 11*y**2 + 1?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5324776 and 3096?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8987871 and 5?\nAnswer: 44939355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 8*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22838 is divided by 4565.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 30, 13, 9 in descending order.\nAnswer: 30, 13, 9, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6714*z**2 + 0 + 6729*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1399403466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*((sqrt(102) - -4*(sqrt(102) + 1*sqrt(102))) + sqrt(102)))\/(sqrt(150) + sqrt(150)*-2*-6) + 4)*-6.\nAnswer: -25 + 24*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227 (base 12) to base 7.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 55, 91, 143, 217?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 73, 49, -49, -245, -563, -1027, -1661?\nAnswer: -2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/2 - -1. Let v be (0 - 2 - -1) + 3. Let r be -2 + (0 - v\/(-1)). Is s at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314\/5 + -353\/5. Calculate the common denominator of u and -51\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -71050*o + 355258. Calculate p(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101100 + 1101?\nAnswer: -1011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54084408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53228467 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x + 5*f = 95, 2*x - f = 125. What is the highest common factor of x and 630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-539)\/63)\/(-11)*624\/(-728).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 - 135.9999947. Round r to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -252b + 5?\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2251 - 2304. Which is the third smallest value? (a) -1\/4 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*c**3 + 47*c**3 - 257*c**3 - 61*c**3 - 99*c**3.\nAnswer: -419*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1667, 1984, 2297, 2600, 2887?\n\"Answer: -q**3 + 4*q**2 + 312*q + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8288*k. Let v(u) = -1760*u**2. Determine v(m(j)).\nAnswer: -120896061440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20199 = 3*g - 5*j, -1859 = -2*g + j + 11607. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a second in milliseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 212240 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1251*u**3 - 1288*u**3 + 2543*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 2\/9, 0.5, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039.24km in millimeters?\nAnswer: 4039240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 8\/21, -4\/5 in ascending order.\nAnswer: -4\/5, 8\/21, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1828, 1461, 864, 49, -972, -2187, -3584?\n\"Answer: 2*o**3 - 127*o**2 + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.985 (b) -0.2 (c) -5 (d) 42 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 8*t**2 - 34*t - 53. What are the prime factors of z(17)?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 - 462*u**3 - 478*u + 1?\nAnswer: -24*u**2 - 2772*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*g**3 + 185*g**2 - 145*g + 30.\nAnswer: -5*(g - 2)*(3*g - 1)*(4*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10612792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44668 and 26?\nAnswer: 44668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1023*w**4 - 738 wrt w.\nAnswer: 4092*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 677966 by 5.\nAnswer: 677966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*n - 542 + 602, -3*n - 1449 = -90*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 12. Let h be m(-3). Suppose h*c - 3*c = 219. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33202742.999628 - 33202834. Let b = -91 - f. What is b rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1325 - -25.0875. Let i = 25.1 - q. Is 2\/23 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29612353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 243?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396125, 792247, 1188359, 1584461?\nAnswer: 1980553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -53*z - 11. Let k(l) = -52*l - 9. Calculate 4*j(v) - 5*k(v).\nAnswer: 48*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78963 is divided by 6050?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-5)*2\/(-12). Suppose -2*z = -3*p - 17, 2*z + 4*p = 7*z - 39. Let u = 6 - z. Is w > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16144298 is divided by 5567?\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*u - 111*u - 33652. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 2, o: 1}. Give prob of sequence owa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731112921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -2186?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71145 and 360189?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {r: 2, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -85. What is the nearest to 0.08 in l, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -351 + 92.4.\nAnswer: -258.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.029 + 0.029. What is the closest to 3 in 2\/11, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 107570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118586 and 4.\nAnswer: 237172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 3*z = -g + 2, -5*g + 14 = -z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7468 divided by 8.\nAnswer: -1867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 + 86740*b**4 - 376278085*b**3 + 751862330*b**2 + 1505112420*b - 3008837160 = 0.\nAnswer: -2, 2, 8673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*s**3*x**2*z + 4758*s**3*x*z - 66*s**3*x - 1001*s**2*x**2*z - s**2*x**2 - s**2*x*z + 152*s**2*x - 92*z wrt s?\nAnswer: 636*x**2*z + 28548*x*z - 396*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14032.9 to the nearest ten.\nAnswer: -14030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*o**2 - 12*o**2 - 192*o + 34*o + 2*o**4 + 156*o + (-5*o**2 + 2*o**2 + 2*o**2)*(4 - 4 - o**2).\nAnswer: 3*o**4 - 25*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.3464072.\nAnswer: -1.732036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*x**2 + 408*x**2 + 20*x**2 to the form t + c*x + v*x**2 and give v.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686276 is divided by 228182?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 720\/(-105) - -7 - 31*(-6)\/21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -605, -1162, -1685, -2156, -2557, -2870, -3077?\n\"Answer: 3*k**3 - k**2 - 575*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -66.147. Let i = g - 0.14700194. Round i to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 39*o + 4*u - 73 + 104, u - 1 = -o - 0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3902145 and 3902118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10622 divided by 226.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 8 = 3*c - 2, -5*c = 4*t - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220563\/(-3890) - (-21)\/(-70)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 83. Sort 13, w, 5, 3.\nAnswer: w, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -945*s - 1562*s + 291*s + 684*s - 1577*s + 3.\nAnswer: -3109*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppptptt. Give prob of sequence pppp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 34579791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 520290000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:12 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 37*b - 41*b - 9, -3*b = -4*u - 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6 - 2*j + 218*j**2 - 216*j**2 - 4*j. Let f be w(3). Solve 2*t = f*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 95*b**2 + 289*b + 456. Determine l(98).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16841140 and 85889814?\nAnswer: 858898140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*(-10)\/(-45))\/((-3)\/(-9)*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 2*x**2 - 2*x**2 + 6*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -502 (b) 5\/4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1291 rounded to 3 dps?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0083, -28.13, -2\/3 in decreasing order.\nAnswer: -0.0083, -2\/3, -28.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93490, 187069, 280646, 374221, 467794, 561365, 654934?\n\"Answer: -p**2 + 93582*p - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2359281557?\nAnswer: 23, 59, 83, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24027 (base 11) in base 2?\nAnswer: -1000011101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 0*v - 4*v)*(-1 - 3 - 2)*(0 - 2 + 3)*(92*v**2 + 35*v**2 + 133*v**2).\nAnswer: 20280*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 15*t + 314 + 2*t - 8*t + 25*t in the form o*t + m + n*t**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/((-9)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1922*o**3\/9 - 11284*o**2\/9 - 1480*o\/9 - 16\/3 = 0. Calculate o.\nAnswer: -2\/31, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbnisid. Give prob of picking 2 i and 1 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (373 - 413) + (2 - -58).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.9264 kilometers in meters?\nAnswer: 474926.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*y + 4*y. Suppose y = -8*x + x. Let t(z) = z + 1. Let d(a) = 2*a + 3. Determine x*d(f) + 4*t(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbtrrtbbrsttrbsb. What is prob of picking 1 r and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + 3*m**3 + 14 + 64 - 115 - 29*m as u*m + l*m**2 + s*m**3 + h and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118, -590, -1392, -2536, -4034, -5898?\n\"Answer: -2*v**3 - 153*v**2 + v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51276158 - 15?\nAnswer: -51276174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(2) + -1 + sqrt(32) + sqrt(2) + (sqrt(2) + 1)*-1 + (sqrt(2) + sqrt(18) + 1)**2.\nAnswer: 10*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40716396 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/(-9))\/(6\/(-9)). Suppose 0 = f*s - 3*s - 76. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 118\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*m - 28*m - 96. Suppose 4*a + 0*a - m = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from {l: 3, g: 2, w: 2, n: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/90)\/(14\/(-30))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 9:35 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1740\/281, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 390 + d?\nAnswer: 39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203533637 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 2:21 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/16 + (-9)\/(-12). What is the third derivative of -12*r**2 - 5*r**3 + 15*r**2 + j*r**3 + r**6 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/83398 and -32\/147.\nAnswer: 250194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*r**6 + 5*r**5 - 2220*r**2 + 2*r + 2 wrt r.\nAnswer: 11400*r**3 + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 - 5)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 1657, 3723, 6607, 10297?\nAnswer: 14781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, l: 4, e: 3}. Give prob of sequence tl.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -21368542\/17 bigger than -1256973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = -38. What is the remainder when (814\/121)\/((-4)\/(-44)) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 + -0.18. Let f = -87 + 88. What is the fourth smallest value in -0.2, t, 0.06, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 5*a = 4*a + 48. What is the remainder when 515 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1\/138, -4, -2\/7, 4\/9, 10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25672861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = -8*g - 828. Let c = -139 - g. Calculate the smallest common multiple of 308 and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1690*d**3 + 568*d - 17604863.\nAnswer: 5070*d**2 + 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zffn when four letters picked without replacement from {c: 4, z: 1, f: 2, n: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81618 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, g: 7, q: 2, w: 5}. What is prob of picking 1 g and 1 q?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29605944 and 44408916?\nAnswer: 88817832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 210\/(-9) + 14. What is the nearest to -1\/4 in -12, 2, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1571.2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25080 in -109, 7\/5, -0.1, 1\/4?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 374 + 6. What is the remainder when r is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17789411 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 3*f - 2*f**2 - 10*f**3 + 9*f**3. Let t(a) = 1 - 3*a**3 + a**2 + 0*a**2 + 4*a**3. Give m(y) + 2*t(y).\nAnswer: y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + x + 1 - 3*x + x**3 to t + l*x + v*x**3 + h*x**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1864.3 and -0.3?\nAnswer: 559.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 - 665*i**2 - 24800*i - 172980 = 0 for i.\nAnswer: -62, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, v: 4, e: 2, y: 1}. Give prob of picking 1 e and 2 h.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*g + 4*c, 3*c - 7*c = -3*g - 47. What is the common denominator of ((-141)\/(-376))\/(30\/g) and 69\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 780*w - 2183. Is n(58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 3506984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 46. Let j = n - -25. Let s = 47.0066 - j. Round s to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.27321 weeks in seconds?\nAnswer: 1979637.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:25 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 times -0.1?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.21 - -2.343. Let f = n - -0.067. What is the nearest to 1\/3 in f, -0.2, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.041 + 0.959. What is the closest to p in 3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898317?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -53.1. Let r = x - 1.9. Let w = 3 - r. Which is greater: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5708 + 5618 = -18*v. What is the fourth smallest value in -0.3, v, 1, 2\/9, 13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 37*v**2 + 211*v - 34. Calculate o(42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 56 (c) -1\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (1 - (-12 - (-16 + (-4 - -4)))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 774501 and 2184?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 429 - 421. Solve -3*v = -4*f - 20, b*v - 6*v + f = 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - r**2. Let i(w) = -60*w**3 + 2*w**2. Calculate i(x) + 4*q(x).\nAnswer: -68*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033323112 (base 4) to base 2.\nAnswer: 10001111111011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 110 = -4*g. Let u be (-568)\/g - 8\/(-44). Suppose 0*y - 3*y - 4*i = -39, u = 2*y - i. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) + (1026\/8)\/19. Solve -9 = p*a - 44 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3783 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -144. Let a(c) = 3*c**3 - 3*c**2 + 2*c. Suppose 32*i - 37*i = 55. Let y(q) = -16*q**3 + 15*q**2 - 10*q. Give i*a(o) + u*y(o).\nAnswer: -o**3 + 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 118662 = -23393. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7433388*b*m**3*u + 17*b*m**2*u + b*m**2 - 2*b*m*u + m**2*u + 27598*m wrt m?\nAnswer: -44600328*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**23\/q**(-2) assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + i - 18 = -3, 3*i - 5 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.17 + -0.17. Suppose -2*s + 3*d + 17 = -0*s, -5*d = 2*s + 23. Suppose -p + s = -2*p. Which is greater: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3\/3 - 7*g + 2. Let r(j) = 1. Let h be 3\/6 - 35\/10. Give h*r(w) - z(w).\nAnswer: w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = -66. Let m be (41\/205)\/(-6*6\/w). Let y be (8\/(-4))\/(1 + -5). What is the third smallest value in -1, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose g = 5*q, 3*n - 2*q - 54 = -0*n. Calculate the remainder when 53 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 9930*t + 562855. What is u(57)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 5\/2*l**2 + 0 + 25*l + 1\/6*l**3. Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcuqffcfqfuhcfcfqf. What is prob of picking 1 h, 1 c, and 2 f?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/25)\/((-2)\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224564 + -13?\nAnswer: 224551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 2. Let p be w(-1). What is the third derivative of 3*s**3 + 47*s**2 + 18*s**3 - 22*s**p wrt s?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = -k - 4*g, -3*k = -g - 7. Let r(v) = 3*v + 22. What is the least common multiple of k and r(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22295, 44584, 66873, 89162?\n\"Answer: 22289*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 33 + 1 = 0. Is 1*(-3)\/c - (-17626)\/56 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.443 + 2.58. Let h = 0.16 - v. Let w = h - 0.423. Which is the closest to 1? (a) -4 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b - 56*b**2 + 2*b + 16*b - 4*b**2. Let x(g) = 17*g**2 - 5*g. Suppose -25*q + 306 = -42*q. Determine q*x(h) - 5*y(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 + 5*g**2 + 12*g - 5. Calculate the remainder when 165 is divided by r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4965.8 - -4966. Which is smaller: f or 701?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 35 - 38 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 58*s + 38. What is l(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -928?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 15. Let p be s(11). Suppose 0 = -4*r + 7*r + 3. Put 5, p, 0, r in increasing order.\nAnswer: p, r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(1\/2)*l)*l)\/l)\/l**(5\/6)*((l*l**0)\/l)**(-2) assuming l is positive.\nAnswer: l**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1579, -1\/4, -2\/11, 29?\nAnswer: 1579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myxxxwmxwm. What is prob of sequence wmxy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044 (base 5) to base 6.\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 25 - 70401882*k**2 + 26 + 70401892*k**2.\nAnswer: 10*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98002 is divided by 6965?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -126, -123, -118, -111?\n\"Answer: i**2 - 2*i - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 4*t - 2. Suppose 0 = -3*f + 6. Suppose 6*h - c = f*h - 9, 3*h + 4 = -2*c. What are the prime factors of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 1\/(-9*4\/(-72))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295.3547*-0.2.\nAnswer: 59.07094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30140 divided by 3.\nAnswer: 30140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*i - 5 + 19, -5*m = -i + 6. Let l(d) = -139999*d + 4. Let j be l(i). Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 34*h**2 - 8*h - 29. Calculate n(11).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37629*j - 37628*j - 74 - 3.\nAnswer: j - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + s + 1. Let o(i) = -7*i**2 - 7*i - 6. Let d = 5 + -4. Suppose d - 3 = 2*h. Let n(t) = h*o(t) - 6*v(t). Suppose n(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m. Let i(v) = 10*v**2 - 5*v. Let z be (-3)\/(108\/8) - 7\/9. Determine z*i(x) - 5*f(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 2 (c) -18.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552 (base 10) to base 14.\nAnswer: -2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 8 - 6) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(27\/(-432))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f - 143. Let c be q(-12). Let j(m) = -m. Let r(g) = -2*g - 17. Let a(h) = c*r(h) - 6*j(h). Determine a(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/13028 and -39\/76.\nAnswer: 247532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3106508 - -4545661. Let i = h - -1400847. Round i to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j. Let w(l) = l**3 + l**2 + 10. Let s be w(j). Let g = -56 - -86. What is the greatest common divisor of g and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-162)\/(-5400))\/((-51)\/8). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4036699 in increasing order.\nAnswer: -4036699, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = -p - 23, 5*w + 4*p - 25 = 10*w - 6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/19 + -47\/57. Let i = -5 - -9. Suppose -g - 5 = -z, 3*g + 25 = -i*z - 2*g. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/65824 and 137\/306.\nAnswer: 592416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44239344?\nAnswer: 2, 3, 499, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:26 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -1, -2 in descending order.\nAnswer: 105, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 300102 (base 4) to base 7\nAnswer: 12003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 6*t + 18. What is the remainder when f(-9) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (9\/(-3) - -1). Suppose -k = -0 - i. Suppose -4*v = -k*v - 6. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 16, 5, 6 in increasing order.\nAnswer: -3, 4, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(12\/(-58280)) + (5 - -1).\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 682*v**2 - 1. Let j be u(1). Let w be j\/2 - (-2)\/(-4). Let x be w\/24 + (-1)\/6. Solve -x + 4 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24114.13083 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8952096?\nAnswer: 2, 3, 93251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2992.99 - 2993. Let f = -28\/9 + 47\/18. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34102 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18b5 (base 16) to base 9\nAnswer: -8607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 149101438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -5. Suppose -4*s + 2 = -2*p - 2*s, 5*p - 2*s - 7 = 0. Sort p, f, -5 in descending order.\nAnswer: p, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1792384 - 768.4\nAnswer: -1793152.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*g*l**3 + 32*d**2*h - 249*d**2*l + d*g*h*l**3 - 3*d*l**3 wrt h.\nAnswer: 32*d**2 + d*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**6\/15 - 11*u**5\/20 + u**4\/3 + 5*u**3\/6 - 39*u. Factor r(x).\nAnswer: x*(x - 5)*(x - 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 261973781*a + 600603452.\nAnswer: 261973781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 22*p**2 - 22*p + 34. Let s be w(23). Let k = s + -39. Suppose -3*b + 39 = -k. What is the greatest common divisor of b and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 2. Let y = 505 - 509. Calculate w(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4 + 18*d - 5.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27937\/40 - 6\/(-30). Let d = -676517\/968 + s. Calculate the common denominator of (-4)\/(-14) - 578\/(-84) and d.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 18 = -4*u, 6 = 2*u - 0*c - 2*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 275311.96 to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -1.4. Let z = -8.91 - -9. Let a be 5*1\/2 + -3. What is the second biggest value in p, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 7*t + 5)*(-4 - 3 + 2)*(2*t + 7*t - 3*t + (-4*t - t + 4*t)*(0 - 1 + 0)) in the form n*t + g + u*t**2 and give u.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + 96\/180. Which is the smallest value? (a) 5 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580825 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14578912, 14578898, 14578860, 14578786, 14578664, 14578482, 14578228, 14577890?\n\"Answer: -2*j**3 + 14578914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + 9 - (1 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 54 + (-44 - -18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 c when four letters picked without replacement from {c: 2, r: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 3*s**3)*(-2 - 3*s + 2) + s**4 - 10*s + 10*s.\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 22 + 9 + 9 + x - 9*x as i + s*x and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 369*d**2 - 7560*d - 249900.\nAnswer: -3*(d - 70)**2*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2565*s**2 + 30*s - 30. Let g(l) = -641*l**2 + 8*l - 8. Calculate -15*g(w) + 4*h(w).\nAnswer: -645*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p + 1. Let t be r(-3). Suppose 19 = 5*n + 2*h, 3*n + t*h - 23 = -2*n. Let s = -1 + 5. Solve -w - s = 2*c + 1, -n*w - 11 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 + (17 - 12) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, e: 1, h: 1, p: 4, g: 1, s: 1}. Give prob of sequence saep.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -2564028?\nAnswer: 25\/854676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sruwhrwnrrhr. What is prob of picking 3 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-1617)\/4158)\/(19\/171)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 184.368 or -0.1?\nAnswer: 184.368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -70. Suppose 2*t + 2 = c. Let b be t\/(-8) + (-112)\/(-64). Solve 0 - b = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 37 = -23. Suppose 8*z + 816 = 2*z. Is (z\/c)\/((-2)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - t**2. Let u be s(1). Suppose u*h = 1 + 3. Suppose -5*x - 4 = -3*f + 9, h*f = -8. Sort -4, -2, x in ascending order.\nAnswer: x, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b**3 + 0*b**2 + 14*b + 1\/6*b**4 - 26. Let g(o) be the first derivative of d(o). Let i(y) = -15*y. Determine g(i(z)).\nAnswer: 450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 107, 99, 87, 71, 51, 27?\n\"Answer: -2*h**2 - 2*h + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1a07?\nAnswer: 1a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100001101 (base 2) to base 4\nAnswer: -10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 + 58)\/((-1)\/(-5)) + -2*5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = h + 16231 - 16236, h - 17 = 2*t for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*c + 726*c - 1185 - 390 = 286*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 2. Let p be h(7). Suppose -p*j = 4*o - 75, 6*o = j + 2*o + 9. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0 + 2 - 3 + 0 + (0 - 1 + 3)*(0 - 1 - 1) + 1 - 1 + 2 + 1 - 1 + 1 - 1 + 2 - 3)*(-1 - 1 - 4)*(4*m - 4*m - m).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzqq when four letters picked without replacement from qqzdm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 88*t - 603. Calculate y(6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + w - w)*(-2 + 4 - 1) + 2*w + 0*w - w - w - 3*w + 6*w - w + 0*w - w + 2 + 2*w - 2 + (2 - 4 + 3)*(6*w - 3*w - 4*w) to m + s*w and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/3 + 600*m**3 - 200692*m**2\/3 - 135600*m - 204304\/3.\nAnswer: -4*(m - 226)**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 3*z)*(-z - 2 + 2)*(-39*z - 355 + 355).\nAnswer: -39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 1)*(-12 + 12 - 3*o**3 + 3*o)*(5*o - o - o)*(-1 - 2 + 4) to d + x*o**3 + a*o**2 + m*o + k*o**4 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.8 - 7.64. Let y = w - -25.86. Let b = y - 25. Round b to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/2 + (-7)\/2 + 3. Suppose 0 = p - 2*i - 63, -41 = -2*p - x*i + 94. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/7)\/u*u))\/u**(-3)*u**(-5)*u*u*u**(-4\/5)*u)\/(u**(-2\/7)*u\/u**(-5)*(u**(-1\/4))**28) assuming u is positive.\nAnswer: u**(82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.3508 rounded to one dp?\nAnswer: -194.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8 + 2*o + 0*o to the form x + r*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511472987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 381, 890, 1601, 2508, 3605, 4886?\n\"Answer: -b**3 + 110*b**2 - 22*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 15 + -6 - (-2 - -26)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482 + 743 + 742 + 34*b.\nAnswer: 34*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/7))\/(h*((h**(-1\/22)*h)\/h)\/h))\/(h**5)**(-3\/28))**(-3\/4) assuming h is positive.\nAnswer: h**(-1725\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19696, -19686, -19670, -19648, -19620, -19586, -19546?\nAnswer: -19500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 + 7 = 0. Let c be (-2)\/n - 6\/(-9). Solve 5*o - 7 - 8 = c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 - 6*u - 2. Suppose 2*w = -3*w - 50. Let m = 12 + w. Let c(j) = -5 + 5 + 5*j + 2 + 4*j**m + 0. What is 6*c(s) + 5*x(s)?\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*m + 2 + 6, -2*m = -2*f - 16. Suppose 2*z - 42 = -m*t + 2*t, 4*t = -5*z + 87. Calculate the remainder when -5*798\/(-35) + 5 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 27*j**2 + 174*j + 69. What is the units digit of s(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -26, -105, -256, -503, -870, -1381?\nAnswer: -2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000436698 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 363024 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 2*i + i + 49 - 5*i + 9*i**2.\nAnswer: 9*i**2 - i + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -m - 3*y, 4*m + 3*y - 63 = -0*y. Suppose m = o - z, -2*z = 5*o + z - 91. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 80 = 5*s, -z = -3*z + 10. Let t be 10\/60 + 178\/s. Let m(l) = -6*l**3 + 5*l - 5. Let i(d) = -d**3 + d - 1. Determine t*i(o) - 3*m(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02787 rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b60b5 (base 14) to base 3.\nAnswer: -21220120202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(11\/(-1232)*-208).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 33 - 6*p**4 + 17736*p - 17739*p - 2*p**2 as z*p**3 + a*p + i*p**4 + y*p**2 + h and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - s - 22, 2*c + 77 = -3462*s + 3481*s for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (372\/(-4557))\/(44\/14)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.248003 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 - 10*r**2 + 9*r - 5. Let x(q) = -q**3 - 3*q**2 + 3*q - 2. Let d(s) = -2*k(s) + 7*x(s). Determine d(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.8125 + -0.1125. Let l = -60.7 + n. Which is the nearest to 0? (a) 4 (b) 2\/5 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -14) + (8 + -6 - -4) - -5 - -74\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*r - 46 = 0, -3*h + 0*h - 3*r + 24 = 0. Let d = -1401 + 8437\/6. Let v = 17\/3 - d. Do v and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -900\/7, -15, 2, -7 in increasing order.\nAnswer: -900\/7, -15, -7, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 264, 390, 512?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2943a (base 11) to base 12\nAnswer: -20224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4658*p**3 + 9321*p**3 - 4665*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:30 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/49, -1\/5, -2, -0.04?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -144, -157, -172, -189, -208, -229, -252?\n\"Answer: -s**2 - 10*s - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 - -7. Let o = 1560\/11 + -142. Let x = -0.59236 - -0.09236. What is the third smallest value in i, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*h + 157*h + 145*h + 167*h - 170*h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34714117505 plus -0.26?\nAnswer: -34714117505.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o**3 - 2*o + 1. Let z be g(1). Let r be (-39)\/z - 2\/(-5). Suppose -2*f - 5*k = -k + 8, -f - 10 = 4*k. Sort -1, r, f in descending order.\nAnswer: r, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099447694.\nAnswer: 2, 549723847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499917*m**2 + 419*m - 419*m.\nAnswer: 499917*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -64)*4\/10. List the prime factors of 7872\/208 + 4\/h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -57. Let j = 797\/9 + -89. Is j greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 11*o - 17*o)*(-24 - 27 - 15).\nAnswer: 1518*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -1401, -4473, -10393, -20109, -34569, -54721, -81513?\nAnswer: -115893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 + (7 - 3))) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3311823 (base 9) to base 15\nAnswer: -252389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:57 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {d: 1, r: 1, o: 1, i: 8, e: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - 2 + 2)*(3*k**2 + 0*k**2 - 4*k**2) + (4*k**2 - k**2 + 0*k**2)*(-6*k**2 - 2*k**2 - 5*k**2) as s + b*k**2 + g*k**3 + l*k**4 + j*k and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2135, -4303, -6573, -8933, -11371?\n\"Answer: 2*b**3 - 63*b**2 - 1993*b - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 + 6*c + 2. Let w be r(-4). Suppose -w - 24 = -k. Suppose -3*n - 4 = i, 2*i + 3*i - 3*n = k. Solve -4 + i = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1112392 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77543941118\/6699297 - 3090229\/267. Let k = 1\/4562 - w. Calculate the common denominator of k and -1\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*v - 19497 + 7905. Let a = -434009\/20 + 21696. Calculate the common denominator of a and (-1810)\/v - 20\/(-210).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffsffsffs. What is prob of sequence fs?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aneneouaan. Give prob of sequence eeaa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10908?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152202 is divided by 76092.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/659964 and -3\/17906.\nAnswer: 4619748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/5 + j**2. Let m(q) be the first derivative of 4*q**3\/3 - 222. Give m(x(y)).\nAnswer: 576*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4215, 8406, 12569, 16704, 20811, 24890, 28941?\n\"Answer: -14*x**2 + 4233*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*n**2 + 3 - 14*n**2 - 7*n**2 - 2 to the form i*n + z*n**2 + w and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88640?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46613 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4*n**3 - 2*j**4*n + j**3*n + 3*j**2*n - 15*j*n**3 - 2*j*n wrt j.\nAnswer: 48*j*n**3 - 48*j*n + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 21*f**3 - f**3 - 122.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3045*d + 9138*d - 470*d**2 - 3050*d - 3043*d.\nAnswer: -470*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -3) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 0*m - m + 6. Let p = 4 + -10. Let s be w(p). Which is greater: -2\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 555744.\nAnswer: 2778720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**5 + 1\/42*l**7 + 0*l**2 + 1\/30*l**6 + 0*l**3 + 2*l + 0 + 0*l**4. Factor u(i).\nAnswer: i**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11133?\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 30, -0.02, 0.1207?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - r**2 - 5*r + 16. Is y(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2) - -2)*6\/(-9). Which is the nearest to n? (a) -0.03 (b) -0.5 (c) -0.2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-2 - 2) + 12 + -6). Let i(p) = -p**2 + p - 3. What is i(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 769033 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + -0.16. Let t be (26 - 24)*-5 - (-73)\/7. Which is the smallest value? (a) v (b) 1 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) -6 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1 (b) -2\/3 (c) -2\/15 (d) 2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1.6, -1, 3\/29 in descending order.\nAnswer: 5, 3\/29, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 9:36 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 90*m**2 - 6951*m - 228438.\nAnswer: 3*(m - 49)*(m + 37)*(m + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 488*u + 13137. Give z(-27).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 2*b + 2*b)*(6*b**3 + 46*b - 46*b) + (-2*b**4 - 4*b**4 + b**4)*(2*b - 1 + 4 - 4).\nAnswer: -4*b**5 + 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -15102?\nAnswer: 4530.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from fckccfkcfc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0331 times -8?\nAnswer: -8.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let j(l) = -3*l**2 - 2*l**d + 3*l**2. Let c(w) = -991 - 2*w**2 + 991. What is j(c(i))?\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-16 - -12) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -154 + 228941?\nAnswer: 228798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/((-10)\/(-4)). Let n(o) be the first derivative of 0*o**4 + 0*o**3 + 2*o - a*o**5 + 0*o**2 - 1. What is the first derivative of n(q) wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 21536.04, -6, -3\/7 in descending order.\nAnswer: 21536.04, -1\/5, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -28.7. Which is the third biggest value? (a) s (b) 0.5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1619\/5 or 2?\nAnswer: 1619\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 443 + -424. Is 2.2 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/616 and -19\/3696.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*f = -272*f - 1012 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 410651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161805 or 161804?\nAnswer: 161805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2*c - 1. Suppose 6 - 14 = 2*f. What is v(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.8, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g**2 + 9*g - 52. Let s be i(-9). What is the highest common factor of 790 and s?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:50 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 77 = 2*p. Calculate the remainder when 32 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 + 7*o - 5\/2*o**3 + 1\/10*o**5 + 0*o**4 + 0*o**2. What is the second derivative of s(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3 + 352183*g**2 + 704363*g + 352181 = 0.\nAnswer: -352181, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -363*m**2. Let a(q) = -310038*q. Give d(a(b)).\nAnswer: -34892852804172*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 12*t - 24. Let a be o(12). Let i = a - -9. Let d(m) = -6*m + 30. Does 21 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-360))\/(14*(-495)\/(-2520))?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v - 2. What is the units digit of 18 + v + -1 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 695 + -709. What is the smallest value in x, -0.3, -3\/2, -0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 675026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (285 + 327 + 0 + 668)*(-21*i**2 - 160 + 160) as n + y*i**2 + q*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45132.\nAnswer: 2, 3, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/5 - 65356*m**2\/5 - 53255072*m + 1124128320.\nAnswer: -4*(m - 21)*(m + 8180)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*y + 3 = 0, -2*u - y + 4 + 2 = 0. Let v be (-1)\/4 + (-1)\/(-4). Solve v = -u*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 15. Suppose 1 = -v - w, -5*v - 4*w + h = 14. Let s = 6 + v. Solve 8 = 4*y + s*c, c + 7 = 3*y + 3*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141850 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 37573462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Let p = 49.3 - 49. Let z = 1 - 1.4. Which is the nearest to w? (a) z (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2377 + -2371.735. Let q = 0.035 + o. Let j = 5 - q. Which is the smallest value? (a) 5 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:26 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:09 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o = 40*o + 258. Does 43 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 99*r**2 + 3*r + 4. List the prime factors of x(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/20 + -1)*(-25 + (-280)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -864\/29 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 0, 9 in increasing order.\nAnswer: -7, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423151 (base 6) to base 14.\nAnswer: 21787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5338489 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48 (b) 12 (c) 223 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -23358.\nAnswer: -65\/23358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (235\/(-15))\/(8\/1185). Let v = 191 - -2138. Let l = q + v. Calculate the common denominator of l and -5\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -360, -100, 440, 1350, 2720, 4640?\n\"Answer: 15*w**3 + 50*w**2 + 5*w - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/5 - 4\/10. Let v = 20 - -4. Let y(w) = 23*w**2 - v*w**2 + 3*w - 1 + 0. What is y(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 20*k**2 - 1. Let q be (-2)\/(-6) - 8\/6. Let p(n) = n**2 - 192*n + 1206. Calculate the remainder when p(186) is divided by g(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133\/78 + -20\/13. Let k(x) be the second derivative of x**3 - x + p*x**4 + 2*x**2 + 0. Determine s, given that k(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541895711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 5*t**2 - 3*t - 5. Let j be z(3). Suppose j*n - n = 186. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*u + 7. Suppose 9*y - 10 = u*y. Which is the closest to -0.1? (a) y (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-18)*(u**(1\/4)\/u)**(7\/3)*(u**(-7)*u**(-6))\/(u**(2\/3))**(4\/9) assuming u is positive.\nAnswer: u**(-1625\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*w*z**2 - 43780*w*z - 468902099*w - 181*z**2 + z wrt z.\nAnswer: 6*w*z - 43780*w - 362*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3038 (base 9) in base 14?\nAnswer: -b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*x + 13 + 10, 5*f + 5*x + 35 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-1)\/(1\/2)). Suppose -5*v + 34 = -z - 62, -z = 4*v - 84. Suppose 3*c = -c + v. What is the nearest to 1\/4 in c, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -10 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 211483\nAnswer: 2114.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74316*s - 4*s**2 + 74316*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8693 minus 0.126?\nAnswer: -8693.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 13*r**2 - 35*r**2 - 2*r**3 in the form c*r**3 + m*r + o*r**2 + a and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15803460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20215 - 20215 - 130*i)*(7*i + 3*i + 11*i - 4*i).\nAnswer: -2210*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -17*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1462 divide 24845228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135805213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2245?\nAnswer: -2245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/6 - m**2 - 12*m. Determine b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46899 and -1?\nAnswer: 46898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 383 - 413 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, w: 1, l: 3, k: 2, a: 1}. Give prob of sequence jaw.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and 30?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 6 + 93*l + 4 - 25 + 3*l in the form g*l + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 483?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i - 4. Let x be i\/(-1) + -5 + 355. Suppose -5*n + 3*z + x = 0, 2*n - 233 = 2*z - 91. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) -2\/107 (c) 5\/367 (d) 0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + s, -4*y - 5*s - 42 = -26 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 5. Let n(p) = -20 + 56 + 693*p - 657*p. Calculate 15*d(s) + 2*n(s).\nAnswer: -3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.05 + 2.4. Let p = a + -0.349958. What is p rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 87 = 61. What is the remainder when p is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-13)\/12*(-144)\/1560.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*q = -5*q - 5*q - 31*a - 767, 3*a + 83 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from chukcuhclukqqch?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 0 + 0*p**4 + 0*p**2 - 5*p + 0*p**5 + 5\/6*p**3 - 1\/6*p**6. Find the second derivative of o(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/71 in 1\/2, 0.2, -0.4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 222111 (base 3) in base 5?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5120.053 milligrams?\nAnswer: 0.005120053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -104, -123, -176, -275?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2593*a - 100 = 2573*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7197 - 7204 + 2*z - 2*z**2 + 14399 + 5*z**3. Let r(h) = h**3 - h**2 + h - 1. Let j(s) = s - 5. Let g be j(4). Determine g*l(n) + 2*r(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*u**3\/15 - 10974*u**2\/5 + 806148*u\/5 + 43218\/5.\nAnswer: 2*(u - 147)**2*(56*u + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 70581305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = 3. Suppose -4*f = 0, -5*f - o + 1 = j. Let m(b) = b**3 + 7*b**2 + 4*b + 1. What is the remainder when m(j) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhooohhhhohoohoohho. What is prob of picking 2 h?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = 5*t + w, -2*t - 2*w = 8. Suppose 17*a + 8 = 13*a. Let d be (a\/(-5))\/((-1)\/(-5)). Sort 3, t, d.\nAnswer: t, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*d**4 + 11*d**3 - 11*d**3 + (-2*d + 3*d - 2*d)*(-3*d**3 - d + d) + 9*d**4 + 2*d**4 + 2*d**4 - 2*d**4 - 3 + 3.\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921598?\nAnswer: 2, 7, 29, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341205219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10\/8 - 7641\/1132.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444049.\nAnswer: 167, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -845 + 1910. Calculate the lowest common multiple of t and 36.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + 13.8. Let z = 6.6 + i. Let u = 3.8 - z. What is u rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -545.462 - -16.462. Put 0.2, -5, p in decreasing order.\nAnswer: 0.2, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-4)\/(-1)))\/(193\/386)*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = n + q, 5*n + q - 202 = -17. Let h = n + -24. Solve 2*l - h = -2*g, 0 = 5*g + 3*l - 5*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 16*b - 39. Let w be a(3). Suppose 5*c - 3*c = 3*q - 5, 0 = q + 2*c - 15. Let u(o) = 7 + w - q + o. Determine u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 7:00 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1103, 1105, 1107, 1109, 1111?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q**3 - 6*q**2. Let j(w) = -2*w**3 + 4*w**3 - 5*w**3 + 4*w**3. Let p(h) = 13*h**3 - 4*h**2. Let n(g) = 6*j(g) - p(g). Give -8*n(m) - 5*x(m).\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 16 = 4*k, -4*d + 2 + 16 = -2*k. Is (-1336)\/(-6) + d\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2)\/(-5))\/(80\/300)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1523978*v + 0 - 1523903*v + 0. Let n(s) = 88*s**2. Determine n(p(d)).\nAnswer: 495000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14387143*v - 14387143*v + 58*v**2 - 196*v**2.\nAnswer: -138*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 10*g + 19 as b + k*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/9 + (-4 - -2). Which is the closest to 0.2? (a) 4 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j - 28 = -2*s, s - 5*j - 14 = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**6\/120 - h**5\/60 + 13*h**3\/3 - 3*h**2\/2 - 5. Let o(i) be the second derivative of a(i). What is the tens digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1762 + 63?\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 548740 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: Simplify (i\/(((i\/(i**(-4\/7)\/i))\/i)\/i))\/i**(-2\/9)*(i*i**(-1)*i)**(-33)*((i\/(i*i*(i*i**0)\/i*i*i))**(-4\/5))**30 assuming i is positive.\nAnswer: i**(2498\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 54 = 5*z, -3*w + 18 = -8724186*z + 8724190*z for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*d - 153*d + 77*d + (5 - 4 - 2)*(-6*d + 4*d + d).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6212, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -5)\/(2\/9). Let i = 50 - 27. Let o = n - i. Solve -3*h + 16 = h - o*x, 0 = -3*h - 3*x + 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 582?\nAnswer: -1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90 and 0.5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -504.45 to the nearest 10.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00686957253 to 7 dps.\nAnswer: 0.0068696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -453.5 plus -0.79?\nAnswer: -454.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639099003 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = -5*a - 14*t - 16, 0 = -2*a + t - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1378042559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/15 - 245734*t**2\/15 - 17836144*t\/3 + 59781464\/5 = 0?\nAnswer: -122503, -366, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.268 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. List the prime factors of 20*a*10\/25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)*(-85)\/51?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2418 and 288.\nAnswer: 116064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -908, -3902, -8988, -16166, -25436?\nAnswer: -36798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35661313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 721.13471 to the nearest integer.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1745*a**2 - 1738*a**2 - 1739*a**2 + 6966*a**2 - 1742*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-230))\/((14\/20)\/(-1)). Let x = q - 13653\/1288. Calculate the common denominator of -107\/12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nll when three letters picked without replacement from nnlnnlnlnnnnnnn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4717739 * -28.\nAnswer: -41.2096692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16670, -19476, -22244, -24956, -27594, -30140, -32576?\nAnswer: -34884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-40) - (-6065)\/8. Let u = f - 133. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21215717 to the nearest integer?\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 16}. What is prob of sequence ll?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8 and 87\/317662.\nAnswer: 1270648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 - 6*t + 4. Let a be b(-6). Factor 4*n - a*n + 32*n**3 + 48*n**2 + 18*n.\nAnswer: 2*n*(4*n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 21*w**2 - 20*w - 4. Determine z(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.7, 0, 71, 4?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11154305969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3853, -5, -1712, 2 in decreasing order.\nAnswer: 2, -5, -1712, -3853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 459, 1550, 3583, 6852, 11651, 18274?\nAnswer: 27015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96768545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4633 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414f (base 16) to base 8.\nAnswer: -40517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -241041 (base 6) to base 4\nAnswer: -11013301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9411154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116626488?\nAnswer: 2, 3, 11, 103, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 374 divided by -22\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 1 - k - 2*k)*(-7*k**3 - 5*k**3 + 3*k**3).\nAnswer: 18*k**4 + 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 491458 - 982923 + 491466 - 4148*o as j*o + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267736 greater than or equal to 267689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3218*p - 3220*p + 0 + 0.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*k + 3*c - 48 + 13 = 220*k, 2*c - 40 = -3*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03950302 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10 and 52\/339.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17882 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*w**2 + 219*w**3 - 4683 - 327*w - 215*w**3 + 330*w wrt w?\nAnswer: 12*w**2 - 120*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 17. Let g be w(10). Suppose n - 2 = 0, 0*n + 5*n = -g*j + 7777. Let u = j - 1550. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66364580*r**4 - 5*r + 682547113?\nAnswer: -265458320*r**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(30)\/(sqrt(15)\/sqrt(3)))\/(1*sqrt(108)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(275) + 2*(sqrt(275) + 0)))**2 - (1 + 2*sqrt(275)*3 + sqrt(275))**2.\nAnswer: -70*sqrt(11) + 48399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/3, -0.34, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 265*s + 2446. What are the prime factors of r(45)?\nAnswer: 7, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4689.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2337585*a. Let b(l) = -2252*l. What is -6230*b(o) + 6*f(o)?\nAnswer: 4450*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/7*6 + -3. Let c(s) = s - 2. Let p be c(8). Let m(b) = u - 3 - p*b + 3*b. Let t(v) = -3*v**2. Give t(m(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((143 - 148) + (21 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216751055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -82*u - 5 + 0 - 9*u + 16. Is c(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.73, 19, -2.\nAnswer: -2, -0.73, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/1697 or 1\/4?\nAnswer: -18\/1697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 + 19 + (2 + 1 - 5)*(1 + 0 + 1) + 2 + 0 + 0)*(2 + 3*a - 2)*(4 - 3 - 2).\nAnswer: -78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 3*a + 11, -5*a - u = 20. List the prime factors of (-30)\/a - 4 - -493.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:26 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 69*r - 11. Suppose -5*l - 1 + 6 = 0, 0 = -3*w - 5*l + 29. Is h(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21888.7 from 2.872.\nAnswer: 21891.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5*j**8\/336 - 5*j**7\/42 + 3*j**6\/8 - 7*j**5\/12 + 5*j**4\/12 - 3*j**2 + 4. Let d(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x + 11. Suppose -2*t = d + d - 38, 2*d - 2*t = 42. Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12440*o + 12424*o - o**3 - 1 + 0 + 6*o**2 + 2*o**2 + 28*o**2 in the form v*o**3 + k*o**2 + z + u*o and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/8)\/((-95)\/(-760))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 364346425*x**2 + 364346425*x**2 + x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (-25 - -69 - -20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5*u - 10. Let k = 34 - 24. Suppose -2*i - k = -90. Calculate the remainder when i is divided by w(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyzh when four letters picked without replacement from qzqlyqyyqyqyzqzhlzyq.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171210 divided by 390?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.69978 milligrams to micrograms.\nAnswer: 94699.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/482 and 119\/54.\nAnswer: 13014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4942 + -4943. Let b(a) = -6*a - 4. Let r(k) = -17*k - 11. Let s(l) = 8*b(l) - 3*r(l). Give s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a, w - 4*a + 18 = -5*a. Let r(u) = -6*u**2 - 92*u - 20. Let j be r(w). Which is smaller: 142\/15 or j?\nAnswer: 142\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18853322 and 14.\nAnswer: 131973254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53459.054 + -53352. Round p to the nearest integer.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295944 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104535515 is divided by 147026?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 25*s = -20. Let i be 0 - (-2 + -3 + s). Which is greater: 1\/161 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 8*m + 8*m**2 + 26*m - 18*m.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-7) - 6\/(-21). Let p be (-112)\/5 - w\/(-10). Calculate the remainder when (1 + -4)\/(3\/p) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 + 5. Let o = -6.5 + 9.5. Let n = -2.5 - -2. What is the nearest to -2 in n, p, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 9 + 9)*(-j + 3*j - 3*j)*(1 - 6 + 0)*(8*j + 6*j - 3*j) to n*j**2 + x*j + h*j**3 + z and give h.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/40 - (-6)\/8. Let r be 2\/6 - (-19)\/(-171). What is the closest to r in 5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 13338.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**3 + 3537*u - 11*u**3 - 3534*u.\nAnswer: -30*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -656.3 - -655.9. Sort -3\/5, -5, -30, h, 2 in decreasing order.\nAnswer: 2, h, -3\/5, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:06 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 at most 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 671 = -641 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -740 divided by -148.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 5*f + 6. Suppose y - 3 = -0. Suppose -y*c - 3 = -x, -2*x + 4*x - 3*c = 12. What is the highest common factor of f and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2)\/(3 + -2). Let i be 9*(-1 - (-4 + o)). Let a = i + -3. Calculate the remainder when 15 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-10)*4*2\/(-12). Let g(s) = s**2 - 4*s + 3. Let m be g(2). Are b and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b + 114. Let c be k(-10). What is the closest to -0.1 in 3\/10, 0.1, c, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1578, 9, -11, -73 in increasing order.\nAnswer: -1578, -73, -11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30\/120*(1 - 153*-499)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**3 - 41 - 31 + 115*x**3 + 72.\nAnswer: 82*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-260)\/13*54\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*y = -581 + 127, 0 = -4*h - 4*y + 392. Let t = -90 + h. Solve -2*l - t*v = -8, -2 = 5*l - 4*v + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/22 and -87\/8707678?\nAnswer: 95784458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*((-1)\/2 + (-10)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(96) + sqrt(96)*2)*-5)\/(sqrt(16)\/sqrt(2)*-3 + sqrt(8)))**2 + 0.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + i + 169683, -3*g = 3*i - 169707. List the prime factors of g.\nAnswer: 13, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 (base 11) in base 2?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 540?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 459 + -452. Suppose 2*o = -3*n + 1, 5*o - 2*n = n + 13. Suppose g + 23 = 5*k - 3*g, i = k - o*g. Let s(h) = -h - 4. Determine s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, c: 7}. What is prob of picking 2 c?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35490, -284567, -960820, -2277837, -4449206, -7688515, -12209352?\nAnswer: -18225305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.1 + 48. Let r = t - -0.4. Let z = 4.8 - r. Round z to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006814121 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -18*t**3 + 8*t**2 - 53*t - 308. Is q(-6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/17, 0.1, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**4 - s**3 - s**2 - 65199*s - 16561248 wrt s?\nAnswer: 4*s**3 - 3*s**2 - 2*s - 65199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d - 25*d + 18*d)*(0*d + 0*d - 3*d)*(-5*d - 3*d + 2*d).\nAnswer: -288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**3 + 3*w**2 + 7*w - 3. Let i(r) = -r**2 + 4*r + 5. Let d be i(4). Let c be q(d). Let g = c + 53. Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9727681 is divided by 15199.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*q - 126 + 311 = 0, -5*q + 151 = 4*c. Suppose -6*u + c = -4*u. What is the greatest common factor of u and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, y: 5, q: 2}. Give prob of sequence iiiy.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -358948426.54 rounded to the nearest 1000?\nAnswer: -358948000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**2 - 26*o**2 - 7*o**3 - o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*c**4*s - 21*c**3*s - 8*c**2*s**2 + 2*c*s**2 - 12*c*s - c - 401*s**2 wrt c.\nAnswer: 696*c**2*s - 126*c*s - 16*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50604, -100986, -151368, -201750, -252132, -302514?\nAnswer: -352896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 less than 0.0001?\nAnswer: -3.6999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428*(-1)\/(-86) + 5)*-2.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23943 less than -398271.11409?\nAnswer: -374328.11409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*p - x - 8, -3*p - 14 = 5*x. Suppose -5*v + 18 = -p. Solve -3*t = -3*n - t + 5, -2*t + 16 = v*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6210672323 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2959 - 2935. Solve 13 = f*d - 59 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 14*i + 13. Let z be p(13). Solve z = -2*w + 2*c, 5*w - 5*c = -3*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from dvbv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = 2. Is 2\/10 - (-28)\/t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v - 2. Let n be o(1). List the prime factors of (-6453)\/(-99) + (-2)\/n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1131*v + 3886. Let m(c) = -47*c + 162. Let i(z) = -145*m(z) + 6*x(z). List the prime factors of i(29).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let g(s) = -25*s - 4*s - 74*s - 74*s. Determine g(b(d)).\nAnswer: 354*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1032*v**6\/5 - 4907*v**3\/6 + 14*v - 81. What is the second derivative of x(g) wrt g?\nAnswer: 74304*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*g + 6 = -5, 3*g = -3*c + 21. Solve c = -y - u + 4, -3*y - u = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2405 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a. Suppose 18 = 5*l - 2*z, -2*z - 2 = l - z. Let j(i) = -36*i**2 - 39*i**2 + 70*i**l. Calculate x(j(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 9. Let n be (-3)\/(2 - 5) + c. Suppose 2*z + 78 = 3*z - 3*d, -z + n*d = -81. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -59*d + 2027. What is the remainder when u(-54) is divided by 116?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 15*g. Let u(f) = -2*f**2 + 7*f. Let z(y) = -6*l(y) + 13*u(y). Determine z(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 99*a - 627 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6*z = 0. Suppose -61*c + 68*c - 1673 = z. List the prime factors of c.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399075\/37 or -10787?\nAnswer: -10787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91446689?\nAnswer: 17, 23, 233879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let g(u) be the third derivative of -u**5\/30 + 7*u**2. What is q(g(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29077957?\nAnswer: 23, 1264259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/5, 8.488?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907191087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -20*d**2 + 4*d + 4. Let b be f(-2). Let i be (b\/(-3))\/4*8000. Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22572 + -22552. Solve 0 = -9*f + s*f + 18*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10187, 18849, 27511?\n\"Answer: 8662*p + 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 4. Solve -4*h = 5*a + 4, h + 5 - i = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x - x)*(0 + 1 - 2) + 5*x**2 - 2*x**2 - x**2 - x**2 + x**2 + 2*x**2 + (9 - 8*x - 9)*(0*x + 2*x - 4*x) + 0*x**2 + 0*x**2 - x**2.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 23*j**3 - 5*j + j.\nAnswer: -21*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from ajutjtatiait.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/74 and 5\/((-5)\/(-2))*35\/(-6).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54080362 to the nearest integer?\nAnswer: 7354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -754885008*p**2*w**3 - 2*p*w**3 - 3719938*p*w - 15*p + w**3 + 1 wrt p.\nAnswer: -1509770016*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340 (base 7) in base 5?\nAnswer: -4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2533 - 1359. What is the remainder when 20\/(-90) - f\/(-18) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160213, 319344, 478475, 637606?\nAnswer: 796737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11*g + 6*g + 1042 = 0, -2*h = 4*g + 2126. Let m = h - -1770. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 3*k - 4*y - 16 = 0, k + 3*y + 12 = 0. Let p = -14 - -12. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 39 = -1. Suppose 4*s = v + 35. Let r(k) = -k**3 + 10*k**2 + 2*k - 21. Let u be r(s). Let b(n) = -2*n**2 - 1. Determine b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/54)\/(-13)*-8*6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 14660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*s + 3*m, 5*s - 23 = -3*m - 4. Let j(b) = 0*b - s*b - 8*b. Let h(i) = 2*i**2. Calculate j(h(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14678243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, k: 2}. Give prob of sequence kkpp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*l + o + 11, l + 2571*o = 2569*o + 26 - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 3. Let i = 562 + -563. Give t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 - 64 + 3*o - 2*o + 5*o - 2*o + (1 + 3 - 6)*(6*o - 5*o - 2*o) to s*o + r and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 - 5*g - 10. Calculate r(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -0.5, -1\/281, -1\/7, -2, -2\/5, 4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4 + 7*y + 6 - 10. Let l(b) = -3*b. Determine r(l(n)).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/16346 and -63\/10?\nAnswer: 81730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38207 (base 9) in base 11?\nAnswer: -1832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**3\/6 - 2*p. Let d(w) = -88*w + 64. Let j(n) = -8*n + 6. Let q(x) = -3*d(x) + 32*j(x). Give -6*c(z) + q(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 8*n - 6. Does 7 divide (3\/9 + 41\/3)*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20537033 is divided by 3187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16525, 65627, 147389, 261811?\n\"Answer: 16330*m**2 + 112*m + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(90))\/sqrt(5))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:29 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 28*c**2 - 27*c - 74. Let v be u(29). List the prime factors of 8\/10*(1814 - v).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831 divided by -297?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 2\/439, 2, -3, -0.2, 194?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 62, 126, 216?\n\"Answer: 13*s**2 - s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**6\/360 - l**5\/60 - l**3\/3 + l. Let t(q) be the second derivative of c(q). What is the second derivative of t(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0487 in 14, -5, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*l - 3*l**2 - 45 - 94 + 31.\nAnswer: -3*(l - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(176)*1)\/(4*-3*sqrt(4)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16\/21 + -11\/42. Let w be (-8)\/(-14)*(-8)\/16. Which is the nearest to 4\/3? (a) z (b) w (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(0 - (0 + 2)). Suppose 0 = -2*z - m*z + 560. Suppose 4*w = -3*p + 171, 0 = -p - p - 2*w + z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzzzb. What is prob of picking 2 z and 2 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14861 - 14856. Solve 35 = -h*r + 55 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21038818 divided by 482?\nAnswer: -43649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9890?\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r. Let k = 11 - 8. Let i(y) = -y - 5*y + k*y + 4*y. Give u(i(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4310 - -4309. Let k(h) = h**2 + 3*h + 11. Let d(v) = v**2 + v + 1. Determine n*k(j) + 2*d(j).\nAnswer: j**2 - j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3264 by -102.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4079 or -1?\nAnswer: 1\/4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 808357062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 15820105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8581472 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273854.\nAnswer: 2, 7, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8947*z - 8998*z + 1071 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 9:01 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 1. Let n be t(-2). Suppose n*g + 289 = 5*w + 2*g, 0 = -5*g + 5. Suppose -188 - w = -3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 810155 = 810156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 10*s + 5*d = -899, -4*s + 3528 = -3*d. List the prime factors of s.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 59.2. Let o be ((-4)\/(-21))\/((-6)\/(-9)). Which is the smallest value? (a) o (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 812 and 3248?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21956.55747 rounded to the nearest integer?\nAnswer: -21957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701492 divided by -26?\nAnswer: 65442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3\/9 - 538*k**2 - 3570768*k - 3428871072 = 0.\nAnswer: -1644, 5709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6384\/(-6916)*-3*(-105)\/126*(-1)\/5\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8dc0c6 (base 14) in base 16?\nAnswer: -49c71e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242403 + -13323331?\nAnswer: -13030423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-284)\/6)\/((-2)\/(-6)). Let q = 18 - n. Is q - (1 + -1) - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 1\/10*i**5 - 87\/2*i**2 + 0 + 49\/12*i**4 + 48*i + 0*i**3. What is the derivative of g(k) wrt k?\nAnswer: 6*k**2 + 98*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 27. Let i(m) = 64*m**2 - 189*m + 4. Let o be i(3). Calculate c(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 8*w**2 - 19*w - 13. Let g be y(10). Let o(n) = 3*n**2 + 4*n - 7. Calculate the remainder when 53 is divided by o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11037405 + 1562595. Round c to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 7 = 3*o. Let f = o - -10. Solve -3*v - 15 = -y, 0 = f*y - 4*y + 3*v + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30647696?\nAnswer: 2, 1915481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11*a**4 - 6*a**2 + 2*a. Let i(v) = 34*v**4 + 17*v**2 - 6*v. Let u(o) = -17*f(o) - 6*i(o). What is the second derivative of u(p) wrt p?\nAnswer: -204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/20 - 3*n**4\/4 - 20*n**3 + 180*n**2. Factor o(k).\nAnswer: 3*(k - 10)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(65)\/sqrt(5).\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l, -l - 4*l = 4*o + 634. Let y = 253 + o. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 5*z + 4. Let m be d(5). Suppose -m*a + 0*a = 5*g, a = 3*g. Solve a = l + 6 - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*s - 15 - 54, 4*s = -2*o + 42. Suppose 5*j - j + s = 0, d = -3*j. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -37*k**2 - 2*k + 1. Let d = 64 + -66. Let h be y(d). Let b = -59 - h. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1902 - 6587*v**3 - 933 + 2384*v**3 - 1978*v**3 wrt v?\nAnswer: -18543*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/18 and 113\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 1\/12*m**4 + 0*m + 0*m**3 + 2*m**2 + 0. Let t(v) = -10*v. Calculate -16*i(z) - 3*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 825 and 9735.\nAnswer: 48675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/11))**(-6\/31)\/((w\/(w*(w*w*w*w**24*w)\/w))\/w**(3\/23)) assuming w is positive.\nAnswer: w**(212232\/7843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-94)\/(-5 - -3)*8. Suppose 5*t - p = -4*u, -3*u - 3*t + 279 = -0*t. List the prime factors of u.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320 - 0?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265318.\nAnswer: 2, 53, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -85901*z**3 - 11084*z**2 - 11084*z. Let r(y) = 15*y**3 + 2*y**2 + 2*y. Determine -o(k) - 5542*r(k).\nAnswer: 2771*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/16*-16)\/(-2). Solve f + a = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 12. Let w be n(0). Let y be -20*(2\/w)\/(5\/(-15)). Is (15\/y + -2)*28\/(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000102016 to 7 dps.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*t**3 - 2*a*t - 1845446*t**4 + 2144854*t wrt t?\nAnswer: -12*a*t - 22145352*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158\/13*y + 48\/13*y**2 - 2\/13*y**3 + 108\/13 = 0. Calculate y.\nAnswer: -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = -5*p + 10, -14 = -2*i + 2*p. Calculate the remainder when 3 is divided by ((-4)\/i)\/(24\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*p**2 - 3 - 3 in the form q*p + s + c*p**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 + 25*u**3 - 60*u**2 - 220*u + 400 = 0?\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -14 (b) 1\/3 (c) -2\/55 (d) -2 (e) 2051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -410*o - 26. Let c be w(6). Let k = c - -295836\/119. Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/15 + 168*a + 201928\/15.\nAnswer: 2*(a + 86)*(a + 1174)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1311 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z - 5*z + 2 - 4*z. What is the units digit of t(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x**3 + 8*x + 0*x**2 - 7*x + 5*x**3 - 1. Let c be i(1). Let k = 0 - -7. Solve -k*b + 9 = -c*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31590a (base 12) to base 2.\nAnswer: -10111101101111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -4. Let u = z - -6. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6368485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3174, 3175, 3176, 3177, 3178, 3179?\n\"Answer: p + 3173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1210) + sqrt(1210))\/(sqrt(2) - -5*sqrt(32)))**2 - (6*(sqrt(245) + 5*(sqrt(245) + 1 - sqrt(245))))**2) + 3.\nAnswer: -475528\/49 - 2520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -0.164. Let j = 0.154 + x. What is the closest to j in -1, -0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/4)*g**(-6)*g**8*g\/g**(-11)*g assuming g is positive.\nAnswer: g**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529902732 to the power of 1\/2, to the nearest integer?\nAnswer: 50298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:24 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 5)*(-1 + 0 - 1)*(0*i + i + 0*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 84. Let b(c) = -c**2 - 260*c - 8. Give b(s(h)).\nAnswer: -h**4 + 428*h**2 - 28904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189 and 5648939?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.56 + -0.49. Let a = j + 0.05. Let g = -2.98 - 0.02. What is the nearest to -1\/4 in a, 0.02, g?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -6\/209, -2, -1\/6, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2 + 61820*p + 191085620 = 0.\nAnswer: -6182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a millennium in years?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + -3 + 32 + -28. Solve -y*c - 15 = -21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from qhhhhqhhqhhhhqhqhhh.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from gyggcyyllygyycl?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 + s - 11. Let l be t(8). Let c = 3 + l. Suppose -v = 2*b - 1, -2*v = -c*v + 3*b - 4. Calculate the remainder when 9 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b**(-1\/7)\/b*b))))**(-7\/6))**(6\/13) assuming b is positive.\nAnswer: b**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 + k**4\/24 + 2*k**3 - 3*k**2. Let g be d(0). What is the highest common factor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:47 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2110*h**2 - 12*h**2 - 114 + 114 + 508*h**2 as t*h + s*h**2 + n and give s.\nAnswer: 2606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(8 - (3 + 3)). Solve n = j*b + 16, -2*b - 2*n = n + 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24055 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12193.2, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23645*y**2 - 12 + 23647*y**2 - 1014*y + 15)*(3 + 0 - 1) as n*y + l + w*y**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/24 + l**3\/2 - 9*l**2. Let m = 6 - 2. Let i be x(m). Let n(p) = -7*p**2 + 1. Calculate n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131613, 526453, 1184511, 2105781, 3290257, 4737933, 6448803?\nAnswer: 8422861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + 0*y**3 + y**3 - y**3 - 2*y**2 + 2*y**2 - y**3 - y**3 + 3*y**3 + (y**2 - 3*y**2 + 0*y**2)*(0*y - 3*y + 2*y) - 2 + y**3 + 2 - 5*y + 5*y + 3*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 480 - 480. Let f(s) be the second derivative of -1\/2*s**2 + 9*s + c - s**3. What is the derivative of f(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 23. Suppose 209 = -o + m*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -20. Suppose 5*u - 16 + 6 = i. Solve 6*s - u*s = 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55643 (base 9) to base 10.\nAnswer: 36975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -166.57.\nAnswer: 166.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + t**2 + 2*t**2)*(-3 + 0 + 1)*(5 - 5 + 8) to d + r*t + s*t**2 and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -288*b**3 - 7*b**2 + b + 13. Is h(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558933829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(325) + -1 + 0)*-1)**2.\nAnswer: -60*sqrt(13) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-53)\/(-5) + 6\/15. Let c = q - 7. Let n(g) = -g**3 + 6*g**2 - 5*g - 3. What are the prime factors of n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132.4 + -132.29. Which is smaller: 2\/171 or u?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, 3, -1 in decreasing order.\nAnswer: 3, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417185*o + 8540 = -417063*o for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*q = -96, -71*p - 62 = -73*p + 5*q. Solve 3*l - 4*c = -p, -l + 3*c - 9 = c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r + 133 = 165*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 52 = -y, y + 5*f - 58 = 3*f. Suppose 4*l - 2088 = -1464. What is the remainder when l is divided by y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 + 3*n**2 - 2*n. Suppose -9 = -11*c + 14 - 12. Give s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/12 + 13*y**3\/6 - 11*y**2\/2 + 6*y. Let g be t(9). Solve 4*z - 9 = -g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4654844450 to the nearest integer?\nAnswer: 68226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/4 - 346488*t**4 - 480215736575*t**3\/4 + 346488*t**2 + 120053934144*t = 0.\nAnswer: -692976, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 458672391 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3488*l + 15 - 42 + 9 + 17 in the form k + t*l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8560 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.295016 less than 0.8?\nAnswer: 4.095016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8*8\/(-18). Let n(p) be the first derivative of g*p**3 + 1\/3*p - 1\/3*p**2 + 3. Factor n(z).\nAnswer: (z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/108 - 7*(-2)\/9. Solve a + 3*s = -4*a + 16, -4*s - 22 = -d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2877 + 5?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*g - 20. Solve -3*s - 2*s = -g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746056 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/719048 or 0?\nAnswer: -1\/719048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/((-14)\/21). Let q(s) = s**2 - s + 2. Let m be q(a). Let r be m\/2*5\/2. Solve 0*z - 3*i - 16 = -r*z, -4*i = 2*z - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6*12)\/((-3)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 1815261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4050*o = 4066*o - 48. Which is the nearest to -6.12? (a) 4 (b) -5 (c) o (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/5)\/a)**(6\/23)*((a*a\/a**0*a*a)\/a)**24)**(-48))**15 assuming a is positive.\nAnswer: a**(-1189728\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -676 + 7?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 - k**5\/10 + k**4\/6 - 4*k**3\/3 + 102*k**2. Determine o(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-39)\/4)\/((-22)\/(-80) + 8\/(-20)). Calculate the greatest common divisor of 63 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1664 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4 + 12770*q**3 - 38215*q**2 - 127550*q = 0. What is q?\nAnswer: -2, 0, 5, 2551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 341?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 10 = 2*f. Let u(i) = 20*i**2 - 3*i**2 - 955*i - 8*i**2 - 8*i**2 + 6 + 947*i. Determine u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/(-290)*(7 + -3 - -1). Let m(v) = 25*v - 3. Give m(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*o + 47 + 1 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/((-3002)\/76)*(-84)\/3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46049461 times -0.4\nAnswer: 18419784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 675 - 86 = 298 - 99 for c.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 - g**4 - 2*g**4 + 8 - 2*g - 3 to i*g**3 + b*g**2 + f*g**4 + x + w*g and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v**3 - v**2 + 1. Let r(n) = -n**3 - 26*n**2 - 83*n + 120. What is the smallest common multiple of r(-22) and s(-1)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -2*d**7\/105 - 5*d**3\/3 + 4*d**2. What is the derivative of j(f) wrt f?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*12\/(-10))\/(29\/(7656\/36))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlnraflrraalrallb. What is prob of picking 1 l and 1 a?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 31*c**2 - 60*c - 34. Let s be f(-29). Calculate the common denominator of 17\/28 and 675\/s*4\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -35, -51, -65, -77, -87, -95?\n\"Answer: k**2 - 21*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -510, 6, -3.\nAnswer: -510, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 386431224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -187103 bigger than -187037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282917, 282873, 282829, 282785, 282741, 282697?\nAnswer: 282653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 5.57?\nAnswer: 22.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w - 3*w - 7*w - 13*w.\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/36 and -77\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -4, 13, -25, -48, 11 in descending order.\nAnswer: 13, 11, 9, 0, -4, -25, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 7*o + 6. Let p be m(-7). Suppose -u - 90 = -p*u. Suppose 4*r - u = 14. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 10*l = 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(272) + -1 - sqrt(272))*3 - sqrt(272)) + 5)*-4 + 4 + -4)*-6.\nAnswer: -96*sqrt(17) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - (5 + -10) - -1. Let m be (1 - -45)\/(v\/(-23)) + -4. Suppose 5*o - 346 = -3*t + 434, m = 4*t + 2*o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (590\/(-20))\/(0 + 1\/(-2)). Solve -h = -18*u - 167 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10124*k**3 - 29899*k**2?\nAnswer: 60744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Suppose 23 = c*k + 8. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/(-70)*(-14)\/4. Suppose -m*f - 62 + 294 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 72 = z + 3*l, -3*z + 4*l + 20 = 0. Suppose -2*a = 2, -4*j + 0*a = -2*a - 186. Calculate the remainder when j is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2592 and -101\/5436?\nAnswer: 391392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brubuuubu. Give prob of picking 2 b, 1 u, and 1 r.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 9. Let n(k) = -k**3 + k - 1. Let b(c) = -4*c**3 + 2*c**2 + 4*c - 3. Give o*b(h) - 3*n(h).\nAnswer: -h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 35, -1, -29 in increasing order.\nAnswer: -29, -1, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*u = 4*u + 3182, -2*i + 7*u + 2110 = 0. Calculate the highest common factor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148894 is divided by 258?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1247, -680, 0, -32 in decreasing order.\nAnswer: 0, -32, -680, -1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*i**4 + 1332*i wrt i.\nAnswer: 1404*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62024 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 298 + -252. What is the second derivative of -55*q - 8*q**2 - x*q + 37*q**2 wrt q?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18276 + 12648.4?\nAnswer: 12648.58276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 2 + sqrt(833) + 1 - (sqrt(833) + -1)**2*-5.\nAnswer: -56*sqrt(17) + 4173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, z: 15}. What is prob of sequence zvzv?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -503 - -509. Solve -5*q = 4*b + 32, -5*q + 3*b - 5 - a = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - o)*(4*o**3 - 2*o**4 - 4*o**3) + 4*o**2 - 4*o**2 - 5*o**5.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 + 129)\/(-18) - -11. Solve 3*z = 3*m, 0 = 4*z + 71*m - 74*m + r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1069\/9 - 119. Which is the smallest value? (a) i (b) 0 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*w - 53*w + 28*w + 17472. Solve -w*k = -228*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261111250?\nAnswer: 2, 5, 208889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 25*n + 20. Let y(d) = -10*d**2 - 57*d - 46. Let h(f) = 9*u(f) + 4*y(f). Give h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -3*g + 4*n, 0 = -5*g - 0*g - 2*n - 350. Let i be (-18)\/63 - 19\/g. Is i greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260) + -3*sqrt(7260) - sqrt(60))\/((sqrt(168)\/sqrt(7))\/sqrt(2)).\nAnswer: -23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3886 + -3805. Suppose 0 = -2*f + 3*d + 16, -4*d - 28 = -4*f + d. Suppose f*w - 21 = w. What is the remainder when q is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 15*y + 56. Let i be l(7). Which is smaller: -8\/9 or i?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 18 = w. Suppose -l + 25 = 4*l. Suppose -4*u = -2*m + u + 53, -25 = l*u. What is the remainder when w is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d - 4*d + 5*d - 10*d**2. Let a(v) = -2*v - 6*v**2 - 3*v**2 + 8*v. Let i(w) = 7*a(w) - 6*n(w). Let m(f) = 2*f**2. Determine i(m(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 32, 32, 16, -22, -88?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggfgmffgggggm. Give prob of picking 1 m and 1 g.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.057602 - -1.4.\nAnswer: 2.457602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3483 + -484139\/139. Suppose -3*i - 2*u - 2 = 0, 3*i + 1 = 2*i - u. Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 16. Solve -2*r - 2*l = 2, 3 + y = -r + 5*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 7*r + 10. Let b be g(-8). Is (-11 - -10)\/(b\/(-1466)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 19059.7?\nAnswer: 19059.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.55*7.\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + -4 + 2.\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, q: 7}. What is prob of picking 2 k and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 4 + (-23 - -82 - 53)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*x + 6*x. Suppose -3*w = 4*f - x, -2*f = -3*w + 2*f + 19. Let r be ((15\/w)\/1)\/1. Solve -2*k = r*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - (-460)\/483*-21.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-10) - ((-38844)\/(-60) - -6). Are -649 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from auukuauukukau.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from {q: 3, d: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 112\nAnswer: 25\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*o + 2*g, 0*o = -2*o + 2*g - 8. Let y be -1 + 2 + (-21)\/o. Let n = y + 47. What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49a9 (base 11) to base 16.\nAnswer: -1984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.35 - 9.349577. What is k rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, 0.1468, -146\/3?\nAnswer: 0.1468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -892, -883, -876, -871, -868?\n\"Answer: -i**2 + 12*i - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14228880 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38021 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6076517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 80. Let c(n) = -n**3 + 3*n - 3. Let p be c(-3). Suppose 0 = 3*k + 5*s + q, k + p = -3*s - 0*s. Sort 0, k, 1 in increasing order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlaaja. What is prob of picking 1 j and 3 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 0, -4 in descending order.\nAnswer: 96, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(3*a - 3*a - a**2) + 876 - 876 - 26*a**2.\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-2379)*3603 - -7. Are r and -12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8816 + (-28)\/((-28)\/(-4)) + (1 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 46*s + 394. Give x(-15).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5040470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzoo when four letters picked without replacement from ovzyoz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - x**2 + 6*x - 3 - 2*x**2. Let a be o(-7). Suppose -24 = a*l - 7*l. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/12 and 23\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.02, -2\/51, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -101. What is the hundreds digit of 4\/i - (-7808)\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*3\/63*-3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 94*n**2 - 2072*n - 1085. What is z(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 7 - (-2 + -9 - (14 + (20 - 34)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -83.8 * -4240\nAnswer: 355312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 - 1\/60*g**5 - 1\/3*g**3 - g**2 + 0*g + 1\/24*g**4. Suppose 5*u = -w - 5, -14*w = -13*w - 5*u - 5. Give y(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*d**2 - 4*d - 13\/3.\nAnswer: (d - 13)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 249.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*w + 14, 10*w + 5*q = 9*w + 25. Solve -6*t = w + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 4 - 1\/2*v**2 + 1\/4*v**4 + 0*v**3 - v. Let l(n) = -7*n**3 + 3*n + 3. Calculate l(i) + 3*y(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 81 + 123)*(-24*m**4 - 6*m**4 + 3*m**4).\nAnswer: -6453*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (43*x**4 - 13*x**4 + 27*x**4)*(2 + 2 - 3) + (-1 - 3 + 3)*(-2*x + 2*x + x**4) in the form f*x**4 + o*x + a + v*x**3 + c*x**2 and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12119\/168 + 528\/7. Find the common denominator of j and (2782\/(-780))\/(((-6)\/(-5))\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 24*t**2 - 46*t - 1015. Let b be r(19). Put b, 2, 39 in descending order.\nAnswer: 39, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let h = q - 1. Suppose 11 = -h*d + d. Solve 0 = 3*p + 4*m - 4, d + 13 = 4*p - 4*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*9*2*(-5)\/30. Let y(r) = r**2 - 3*r - 1. Suppose 4 = s - 5*f, 10 = 4*s + 3*f - 6. Let v be y(s). Solve -5*q = g*j - 13, -j = -4*j + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/((1\/1)\/3). Let q(p) = 25*p + 142. Let k be q(-7). Let o = k + i. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = -0. What is the greatest common factor of j and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54881 - -219?\nAnswer: 55100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 696*l - 53450\/3.\nAnswer: 2*(l - 25)*(l + 1069)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2247 divided by -107\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14720971.\nAnswer: 14720971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220.7 - -188.87. What is f rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let g(o) = -2*o**2 + 107*o - 319. Calculate g(d(q)).\nAnswer: -2*q**4 + 107*q**2 - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43282 take away -0.5?\nAnswer: -43281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n. Suppose 0 = 6*p - 1680 + 282. Suppose -17*f + 913 = p. What is the lowest common multiple of f and y(-2)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*y + 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 9:33 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, 104, -5, 6, 2, -379 in decreasing order.\nAnswer: 104, 6, 2, 0, -2\/11, -5, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r**2 - 1. Let w be o(1). Let q(b) be the first derivative of b**3\/3 - 8*b**2 - 7*b - 30722. Determine q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029732201 to 7 decimal places.\nAnswer: 0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*v**3 + 1 + 70*v**3 + 48 + 5 - 31*v**3.\nAnswer: 2*v**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2688*k + 59 = 2690*k + 3*g, -34 = -2*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*p = 312*p + 379*p + 3380 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghaaa. What is prob of sequence agaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - 767?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:02 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, 20 in descending order.\nAnswer: 20, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36464 by -3.\nAnswer: 36464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let g = -17 - 189. Let x = -186 - g. What is the least common multiple of x and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (544\/(-704) - -1)*(-1 + (-27)\/(-15)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Let n(j) = m*j - 4*j + 19*j**2. Let t(b) = 15*b + 3. Let g(h) = -72*h - 15. Let s(a) = -g(a) - 5*t(a). What is n(s(x))?\nAnswer: 171*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -188297520, -188297507, -188297486, -188297457, -188297420, -188297375, -188297322?\n\"Answer: 4*h**2 + h - 188297525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2889 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(1152) - (-2*sqrt(891) - sqrt(891))**2)*3.\nAnswer: -24057 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 16. Let p be y(-11). Solve -m = -3*m - 4*n - 16, -p*m = 2*n + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*r + 326 + 71 = -15*r + 111 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*f - 299*f = 0. Which is the third biggest value? (a) f (b) -0.1 (c) 3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 - 29 = 0. Suppose -p*b - 8 = -11*b. Find the second derivative of 11*m**b - 10*m + 28*m - 6*m wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11351803, -11351795, -11351781, -11351761, -11351735?\nAnswer: -11351703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74698 divided by -2\nAnswer: -37349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 5566\/6)\/(6\/63). Suppose -1967 = 7*d - x. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-784)\/3430*(2\/25)\/(88\/(-55))?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33094753, -66189488, -99284223, -132378958, -165473693, -198568428?\n\"Answer: -33094735*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.06 (c) 43\/3807\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13100 is divided by 2289?\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3601 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*18\/405)\/(2\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 10 + (-2 - 1). Suppose -g*p + 12333 = -8*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1062956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i**3*n**3 + 2515128*i**3 + 12*i*n - 276*n**3 with respect to n.\nAnswer: 27*i**3*n**2 + 12*i - 828*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27c + c9?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (13376\/640)\/209*(-10)\/(-68)?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -92657000 to the nearest 100000.\nAnswer: -92700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:55 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350520 rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42639)\/9 + 3)\/(-15 + 1869\/126) a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 318*p + 174*p + 3502 + 4370 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 11*o**2 + 7*o + 24. Calculate t(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -5.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 2852735 = -2852095 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67.5 - 78. Let a = -10.5 - j. Suppose 5*n + 12 = -33. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2270 and -20\/11577.\nAnswer: 115770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - q - 1. Let l be y(-1). Let k be (-65)\/(-7) - l\/7. Let a = 19 - k. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n + 3. What is the remainder when 4 is divided by q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 11*v**7\/5040 - v**6\/720 - v**5\/15 + 4*v**2. Let m(w) be the third derivative of y(w). Is 9 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2458*l + 4040*l + 2451*l + 2459*l - 11411*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 6. Let q(f) = -3*f + 10. Let r(m) = 10*i(m) - 6*q(m). Let l(w) = 17*w**2. Determine l(r(b)).\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -232, -923, -2066, -3661, -5708, -8207, -11158?\n\"Answer: -226*h**2 - 13*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -456, -482, -518, -564, -620?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 - -107440.\nAnswer: 107438.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 338\/5 + 28\/5*n**2 + 1\/5*n**3 + 221\/5*n = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141425149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255473736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 14*j**2 - 14*j + 16. Let u be p(13). Suppose -x = -8*w + 5*w + 149, w - u*x = 55. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 3, h: 10, l: 1, f: 3}. What is prob of picking 3 f and 1 h?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*a**2 + 5*a**3 + 184*a**2 - 334*a**2.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(495))\/sqrt(11).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f + 6. Let i(a) = a - 11. Let b be i(11). Let k be (0\/3 + b)\/(-1). Is t(k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 + 51. Calculate the common denominator of -91\/8 and (-4)\/(-10) + 4\/(n\/1406).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 1)*(-77 + 6*n + 77)*(0 - 3 + 1) + 2*n + 6 - 6 in the form h*n + a and give h.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136443 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 12. Let g be r(12). Calculate the remainder when 69 is divided by 0 + (-3 - g) - -21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 5)*(-z - 1 + 1) - 1 + z + 0*z - 2*z + (-3*z + 3*z + 2*z)*(5 - 3 + 0) to o*z + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 2*h)*(-h**4 + 3*h**4 - 4*h**4) - 73*h**5 + 38*h**5 + 43*h**5.\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - (-10 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2573971m to micrometers.\nAnswer: 257397.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + d - 4, j - 6*j - 6*j - 43*d = 137 + 115 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*p + 155, -7*p + 5*p = 3*n - 163. Calculate the remainder when 736 is divided by n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*x = 255. Let d = x - 81. Suppose -5*f - 704 = 4*c, d*c + 424 = 4*f - 7*f. Do f and -140 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.7, 1.41, 5, -6, -0.5.\nAnswer: -9.7, -6, -0.5, 1.41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 4*n, 0 = -2*x - 2 + 12. Solve 0 = -0*w + w - n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 17, 27, 37?\n\"Answer: 10*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(1\/1)*-1. Let t = -1 + 5\/3. Is t at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 4644?\nAnswer: 1\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -144*s. Let t(p) = -10521*p. Determine x(t(a)).\nAnswer: 1515024*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 - p**2 - 21*p. Let b(d) = 7*d**3 - 3*d**2 - 42*d. What is 2*b(o) - 5*s(o)?\nAnswer: -o**3 - o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3*12\/(-8). What is the first derivative of 41 - 3242*a + 3192*a + 3*a**g - 2*a**2 wrt a?\nAnswer: 2*a - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569333275?\nAnswer: 5, 7, 3253333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 + 1844*o**2 + 8704*o - 11709. What is r(-364)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -802*s - 10399. What is the remainder when 726 is divided by y(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*n + 201*n - 59*n + 29*n to the form m + l*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/85*20\/(4 - 0). Let m be (3877 - -1)\/(2\/4354). Suppose -t*w + 1242406 = m. What is w rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35794, -71598, -107400, -143200, -178998?\n\"Answer: g**2 - 35807*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9549 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2548)\/(-35) - (-8)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 93*z - 2269. Give h(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(2\/1). Let o be (-21)\/4 - ((-28)\/16)\/7. Suppose 2*u - 5 = 3*h, -h = h + 2*u. Sort z, h, o.\nAnswer: o, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/14040 and 29\/12285?\nAnswer: 98280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*t - 114*t + 3978 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 1. Let d(y) = -45*y**2 - 2*y + 2. Let u(m) = -d(m) - p(m). Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 + 352*f**2\/7 + 254*f\/7 - 2028\/7 = 0?\nAnswer: -169\/7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f + 1 + f - 1 + 4. What is the tens digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -26733\nAnswer: 1\/26733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -142. Let u = -63 - t. Does u = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 2*n + 2*n)*(2*n + 4*n - 5*n) + (-3*n + 2*n - n)*(n + n + 2*n) + (2 + 1 + 5)*(-2*n**2 - n + n) as a*n**2 + w*n + b and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 276*h**2 + 8. What is the hundreds digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*84\/(-70). Solve -i + 2 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*g, 7*g + g - 93*g + 937 = 2*b - 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119232511 + 1.312.\nAnswer: 119232512.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 14209, 5.\nAnswer: 1\/3, 5, 14209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 5 = -5*o. Solve 2*a = -5*h - 4, -3*h + o*h = -2*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from {f: 3, p: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1232 + 1111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (84\/7)\/((-1)\/(-1)) - 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 32 = -3*r, 305 = -5*u - 4*r + 296 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 59448*z. Let a(v) = 774*v**2 - 2*v. Determine h(a(l)).\nAnswer: 46012752*l**2 - 118896*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 2\/35 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1533 = -1745. Which is smaller: f or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 1 + 0 + (sqrt(1872) - (-1 + sqrt(1872))) + sqrt(1872) + -2)**2.\nAnswer: -96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.428 + 198.782. Let c = q + -1.21. Let o = c - 201.79. What is o rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75508\/9 + 8390. Which is the closest to -6? (a) -1\/4 (b) -1\/11 (c) 0 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*l + 2 = 0, 5*l = -0*v + 5*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:59 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644551?\nAnswer: 41, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537228?\nAnswer: 2, 3, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24863858707351\/2687641880460 - 8\/396407357. Let u = -2\/1695 + v. Find the common denominator of (-4)\/14 - 844\/280 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -583*p**6\/15 + 4*p**5\/15 - p**4\/24 - 20*p**3\/3 + 9*p**2 - 97. Find the third derivative of x(a) wrt a.\nAnswer: -27984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-3)\/36)\/(7\/((-280)\/(-30))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10348880*x - 14000981 wrt x?\nAnswer: 10348880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17257835)\/(-22) - 64\/1408 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80740 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.3 (c) 0.01 (d) 18 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i*(i\/i**(-2\/9))\/i)\/(i*i\/(i\/i**1))**(-43) assuming i is positive.\nAnswer: i**(731\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -930.9 times -4?\nAnswer: 3723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5392? (a) -0.2 (b) -10 (c) 1\/7 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**3 + 784*w**2 + w + 157. What is the smallest common multiple of 30 and i(-112)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o**2. Let w(z) = 9734359*z**2 - 3*z. Determine w(y(g)).\nAnswer: 1645106671*g**4 + 39*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*c - 847*c - 722*c = -12258 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*150.9706.\nAnswer: -39.252356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 22*q**2. Let y(g) = 4*g**2 + 2*g + 2. Let h(t) = -5*t**2 - 3*t - 3. Let n(c) = -2*h(c) - 3*y(c). Give n(s(i)).\nAnswer: -968*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 272 = -3*n, 1565*n - 256 = 1568*n - 22*w + 21*w for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1930362641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 + 44 = 0. Calculate the smallest common multiple of j and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2381 and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szus when four letters picked without replacement from {a: 5, z: 1, u: 1, s: 1, l: 10, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let m = 31 + -18. Suppose -g = -0*g - m. What is the remainder when g is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/36922578 and -22\/3029?\nAnswer: 479993514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c = 74 + 41 - 25. Let r = 0 - 10. Let o(i) = i**3 + 9*i**2 - 10*i + 5. Let p be o(r). Solve -p*f - c + 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 4*l**2 + 4*l + 2. Let c(b) = -3*b**3 + 12*b**2 + 9*b**2 + 13*b**3 - 20*b - 11. Let x(p) = -2*c(p) - 11*z(p). What is d in x(d) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3905, 3213, 2521, 1829, 1137, 445?\n\"Answer: -692*j + 4597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*a - 4, 4*a - 4*j + 16 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-70)*145\/(-116)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 2*k = -10*t + 5, -3*t + k - 11 = 0. Let u(y) = -7*y**2 + 5*y + 8. Let m(b) = -4*b**2 + 3*b + 4. Let z(h) = t*u(h) + 5*m(h). What is z(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4026*l - 67. Let h be k(-3). Suppose -4 = d, 5*g + d - h + 3125 = 0. What are the prime factors of g?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -222 - -226. Which is the closest to w? (a) 0.18 (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001023 - -71573?\nAnswer: 2072596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 0)\/(184051301\/52586114 + (-14)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57048 is divided by 350?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + m = 16, -3*v + 24 = -4*m - 0. Suppose -v*x + 5*x + 252 = 0. Suppose -4*d = 2*d - x. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -114. Let n be 28\/r - 416\/(-7). Suppose -p = p - n. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -23. Let t = q - -5. Let g be 1\/(4\/(4\/(-3))). What is the closest to g in t, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583 - 1603 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -116. Which is the second smallest value? (a) t (b) 1\/6 (c) 0.3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -22\/110819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((2 + sqrt(2299) + 2 - sqrt(2299)) + 3*sqrt(2299) + 4)*-2)**2.\nAnswer: 2376*sqrt(19) + 83088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2402234, -2402251, -2402268, -2402285, -2402302?\nAnswer: -2402319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -240, -2\/9, 4\/5, 0, -127 in ascending order.\nAnswer: -240, -127, -2\/9, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -740 or 1214?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -5, 4\/9, -1\/12, -13, -12 in descending order.\nAnswer: 3\/2, 4\/9, -1\/12, -5, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231714*f**6 - 288951*f**2 + 4*f - 1?\nAnswer: -27805680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013304 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -39, 2, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68229 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*x + 5*p - 60 = -6*x, -5*p - 127 + 137 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16762000 rounded to the nearest one hundred thousand?\nAnswer: -16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 9*j - 9. Let a be k(10). Let h(u) = -u**2 - u. Let m(z) = -z**2 + 9*z - 8. Let p(o) = a*h(o) + m(o). Solve p(t) = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2736) - (1 + sqrt(2736)*-1 + sqrt(2736))).\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 30*l**2 - 15*l + 104. Is x(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 28830?\nAnswer: 57660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/1 - -3)*-1. Let v be 5*b\/(50\/(-4)). Solve k + v = 0, -i + 2 = -k - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 1 = -49 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 30. Let i = -9.0000036 - g. Round i to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 371792 divided by 38\nAnswer: 9784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000485 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1903*h**3 - 34098*h**2 - 90402365*h?\nAnswer: -11418*h - 68196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 130\/40)*-5*12\/285\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 27*s + 23*s - 45630 = 0, -5*b - 3*s = -114127. What are the prime factors of b?\nAnswer: 29, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 21. Calculate the remainder when 3 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5 - 3668*p**4 - 1700024*p**3 - 16737072*p**2 - 46665216*p - 39923712 = 0.\nAnswer: -912, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*o - 143*o**4 + 188*o + 140*o**4 + 337*o**4 + 93*o wrt o?\nAnswer: 4008*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.81. Let n = o - 0.86. Let y = 0.36 + n. What is the biggest value in -4, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 775005.4 kilometers?\nAnswer: 775005400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(204) + sqrt(204))\/sqrt(12) + (((-2*sqrt(170) + sqrt(170))*-5 - sqrt(170))\/sqrt(10))**2.\nAnswer: -sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4741*0.9448.\nAnswer: -4479.2968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most 502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 22. Let f = -18 - n. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {i: 3, j: 5, e: 2, d: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -47*o + 46*o, -4 = -2*b - 2*o - o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212202 + 1011002?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - s + 4 - 1)*(-11*s**2 - 755 + 755 + 10*s) in the form t*s**2 + n*s**3 + x*s + f and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 3*q - 392. Let v(x) = -13*x**2 + 8*x + 1176. Determine -8*d(b) - 3*v(b).\nAnswer: 7*b**2 - 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 2. Suppose -w - 3*j - 11 = 0, -5*w - g*j + 5 = -5. What is the greatest common divisor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1639 in -6, -0.5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 4275*l**2 + 34168*l.\nAnswer: l*(l + 8)*(l + 8542)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:15 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 4. Let k(u) = -u**3 + 5*u**2 + 17*u + 20. Let x be k(8). Let c be 250\/(-90) + (1 - (-44)\/x). Determine s(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 917. Let h be n(-35). Which is greater: 989 or h?\nAnswer: 989","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -6. Suppose o*h + 14 = 4. What is the common denominator of 43\/8 and (8 - h)*5\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6 - 2. Let c(l) = -6 + 5*l**2 + q*l**3 - 4*l**2 - l**3. Let p = -749434 - -749434. What is c(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 23. Suppose 51*y = z*y + 35. Find the first derivative of y*w + 241 + 2*w - 246 wrt w.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -15 (c) 165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*o - 12, 6 = -3*w + o - 1. Let v be (3\/(-2) + 1)*(-12)\/18. Which is the closest to 1? (a) -3 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152387312087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 - 3*t. Let d be c(3). Let f = 10 + d. Solve 2 = 4*q + f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -170 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 7*d**3\/3 - 3*d**2\/2 + d. Suppose -o = 3*n - 38, -4*n + 189 - 13 = 4*o. What is the remainder when o is divided by w(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 46 (c) -2\/35 (d) -2\/13 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:52 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65822, 65812, 65802, 65792, 65782, 65772?\n\"Answer: -10*x + 65832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t. Suppose t = -2*d - 7*d + 810. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 - 2*u**2. Suppose -d - 4*k + 3 = 0, k = -k + 2. Let r(h) = -h**3. Let p(z) = d*y(z) + 4*r(z). Solve p(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.66 - 1.84. Let m = 1.59 + w. Let h = -0.31 + m. Are h and 21\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-395)\/55 - 2\/(-11). Let h(n) = 5*n**3 + 15*n**2 - 5*n - 7. Let x be h(p). Calculate the common denominator of 29\/6 and (-1)\/(x\/21)*4\/(-6).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*r + 8 = 0, r = 2*i - 6*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.005384 and 466.\nAnswer: 934.508944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 - -0.09.\nAnswer: 136.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*(sqrt(2736) - (0 + sqrt(2736) + -5)) - (-5 + sqrt(2736) + ((sqrt(2736) + -2*sqrt(2736))*-3 - sqrt(2736) - sqrt(2736))))**2*-2 + -3).\nAnswer: -2880*sqrt(19) + 44682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from {p: 5, v: 3, i: 1, c: 1, w: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268 - -319. Suppose 2*u = u + w. Let h = -16 + 34. What is the remainder when u is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 10*f, -4*i + 4*f + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 7, z: 1}. Give prob of picking 2 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 3*h**2 - 3*h - 2. Let c be i(4). Let v be (2 - (-66)\/c) + -4. Calculate the highest common factor of 155 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - 2060756?\nAnswer: -206078a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/942 and 58\/11030663.\nAnswer: 66183978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-195)*(145\/30 - 5) + 1195\/(-75).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901490539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-12 - -11 - 45) + 2 + 0.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 66 = 267 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -4 (c) -666 (d) 20 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732\/5 - 146. Which is the nearest to v? (a) -2\/7 (b) -37 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(31 + 18 - 182)*(9*t + 5 - 5)*(t**2 - 3*t**2 + 0*t**2) to the form f*t + x*t**2 + l*t**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 8\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/3? (a) -1452 (b) 17\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219 + 185. Let z = w - -39. Solve -15 = 3*g - 8*g, z*q - 4 = 2*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1869455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 3 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meqqmgmqgegzqgkqmq. What is prob of picking 1 z and 1 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 93. Suppose -2*q + f = 5*n, -2*q + 4 + 4 = 4*n. Solve 0 = -4*h + 2*t + n, -3*h - 10 = t - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216890511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11336 (base 9) in base 2?\nAnswer: -1110110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 1. Let g(v) = -8*v**2 - 4*v - 7. Determine -g(j) + 6*u(j).\nAnswer: 2*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12565\/6, 5, -1.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*v - 159 + 159)*(5*v**2 - 5*v**2 + 8*v**2).\nAnswer: 768*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o. Let q be -3*9\/((-108)\/8). Let b(k) = 7*k**q + 5*k**2 - 22*k**2 + 11*k**2. Give g(b(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w**2. Let l(g) = 2*g**2 - 4*g. Let z(j) = 2*j**2 - 5*j. Let s(k) = -5*l(k) + 4*z(k). Give y(s(r)).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40914.44 centuries in millennia?\nAnswer: 4091.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:50 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -408069 at least -1496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279877*v + 4 - 4 - 5 + 4 - 4.\nAnswer: -279877*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose -4*c + 2*c + 5*l = 7, k = -5*l + 5. Let g(d) = d**3 - 6*d**2 - 14*d + 54. Let x be g(7). Put c, x, -0.3 in decreasing order.\nAnswer: x, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 6:44 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (5740\/(-105))\/(24\/(-18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1243 divide 1924974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-72) + (-57)\/12 + (-3 - -7)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0 (b) 4 (c) -2034 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1180 and 4031 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, 5388\/11, -2, -1\/3, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 12*z - 15. Let s be q(11). Let c be 2\/s - (-5)\/(-30). Let l = 0 - 1. Is l bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933904 is divided by 933860?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4434 + 15163 + 55395 = 258*c - 1342*c for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -4233234022?\nAnswer: -4233234024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/6*(1 - -13). Let v = d - -71. What is the highest common divisor of v and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 124a6?\nAnswer: 124a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 9 - 945 = 0. What is the remainder when n is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-5)\/6)\/(7950\/(-1590))*618.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 2269, 8927, 22207, 44317?\nAnswer: 77465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29378423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q + 0*q - q - q**2 - 6 + 6*q + q. Let t be 0 + 4\/1 + 1. Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -5\/3*x**3 - 1\/60*x**5 + 0 + 1\/2*x**4 - 7*x**2 + 0*x. Let i be u(12). What is the biggest value in 3, i, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/3087 and 46\/7.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474525?\nAnswer: 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 297\/(-21) + 14 - 58\/(-14). Solve w*v + 2*o + 18 = 0, 2*v = 4*o + 2 + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**3 + 3*i**2 - 2*i. Determine u(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22432\/86924*1\/(-12)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1276071 and 152745.\nAnswer: 3821832645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(2*g**2 + g**2 + g**2)*(2*g + 2*g - g)*(2*g + g + 0*g).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 409.52.\nAnswer: 819.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10218, -17888, -30672, -48570, -71582, -99708, -132948?\nAnswer: -171302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 778 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: Simplify (l**(-22)\/l**13)**(-5\/2) assuming l is positive.\nAnswer: l**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116355.9 * 6.\nAnswer: 698135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/28, -284, -5?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -710874 by 657.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78098 = 5*i - 78093, -4*h - 2*i - 106 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(-11)*n\/(n\/(n*n**(-9)*n*n))*n*n**(1\/7) assuming n is positive.\nAnswer: n**(428\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*x**4 - 13587*x**3 - 66944*x - 1?\nAnswer: -144*x**2 - 81522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u*(u\/((u**(-33)*u)\/u)*u*u)\/u)\/u))**(2\/21)\/((u\/(u*u\/((u**(-23)\/u)\/u)))\/u**(1\/6)))**(1\/2) assuming u is positive.\nAnswer: u**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + -15 + 25\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110021102 + 112?\nAnswer: 22110021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3 - 3*l**2 - 15*l - 4 + 12*l**2 - l**3. Suppose 0 = -74*f + 90*f - 64. What is the units digit of c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10614, 8555, 5122, 315?\n\"Answer: -687*v**2 + 2*v + 11299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1450525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905815.\nAnswer: 5, 29, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - (-4)\/(-6 - (-852)\/141) is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21625, -21616, -21601, -21580?\n\"Answer: 3*n**2 - 21628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92, 321, 706, 1247, 1944, 2797, 3806?\n\"Answer: 78*q**2 - 5*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2092133 * 4.8.\nAnswer: 10042238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 15. Let q = 11 - 4. Let z be k(q). Suppose 2*s = -2*s + z. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:31 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 154252.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 775 = -55. Suppose 0 = -a*v + 74*v - 10. Suppose 0 = -10*x + 9*x + v. Solve -2*w + w = x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 55 - 7. Suppose -12 = 4*l - f*l. Suppose s = 2*s + 7. Put s, -5, l in descending order.\nAnswer: l, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 4. Let x(i) = 1. Let w(t) = x(t) - y(t). Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12970765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 2, c: 5, v: 2, f: 1, l: 4}. Give prob of picking 1 c, 2 i, and 1 b.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70131938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80446009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - u - 1. Let b(t) = -7*t**3 + 2*t**2 - 2. What is b(y) - 2*j(y)?\nAnswer: -7*y**3 - 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 362, 562, 542, 188, -614, -1978?\n\"Answer: -19*b**3 + 4*b**2 + 321*b + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*o + 192*o - 1095 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 78, 194, 360, 576, 842?\n\"Answer: 25*b**2 - 9*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*y + 16210 - 16210 + (0*y + 0*y - y)*(3 + 3 - 4))*(-12*y**2 - y**2 + 57*y**2) to the form a*y**3 + x*y**2 + t*y + p and give a.\nAnswer: 2904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g - 1. Suppose c = -d + 5, 3*c + 24 = 7*c + 5*d. Let l be v(c). Suppose -64 = -7*z + l*z + 5*n, 4*z - 80 = 4*n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -20. Suppose 2*x = -4*b + b + l, -b = x - 6. Is x greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:30 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y - 9, 0 = 4*f + y + 27. Let r be (f\/10)\/(6\/4). Is r < 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -68*(-64)\/10880 + (-22)\/(-5). Solve 87\/5*t**2 + p - 78\/5*t + 3\/5*t**5 - 3\/5*t**4 - 33\/5*t**3 = 0 for t.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*w**4 + 486611*h**2*w**2 + h**2*w + 2621*h**2 + 754*h wrt w?\nAnswer: 12*h**2*w**2 + 973222*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.22? (a) 1 (b) -0.1 (c) -5 (d) 2\/3 (e) 77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 4 (c) -4\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -485*s**4 + 920*s**2 - 20*s wrt s.\nAnswer: -11640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 9*f + 15, 2201*t - 2205*t + 4*f - 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7125b + -64?\nAnswer: -712c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 2*b + 1. Let i(j) = 327*j**2 - 16*j - 3107. Let x(d) = 8*h(d) - i(d). What is the first derivative of x(p) wrt p?\nAnswer: -638*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*s**2 - 2375410724*s + 527869048.\nAnswer: 4*(s - 65983631)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*g - 45, -5*z + 2*z = -10*g + 24*g - 11*g - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 8)*(-5)\/15. Let f = 2 - j. Which is greater: -2\/15 or f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - b = -38, 2*t + 3 = 6*b - b. Let k = -15 + t. Let l(s) = s**3 + 6*s**2 + 5*s - 3. Is l(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/85 - (0 - (3 - 14\/5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*1*-3 + (sqrt(198) + sqrt(198)*-3 + sqrt(198))*4)\/(-2*(sqrt(396) + -6*(-1*sqrt(396) + sqrt(396)))).\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062814 is divided by 86.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 - 6*g + 7. Let d be o(5). Suppose 0 = 3*m + 5*a - 5 - 5, 3*a - 6 = -5*m. Let u = d + m. Solve -2*r + r = -s + 1, s = u*r + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9529 + -9514. Put -4, -3, z, -5, 2 in decreasing order.\nAnswer: z, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 889 by 1139.\nAnswer: 889\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) 0.2 (c) -3 (d) 3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906186 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*317\/12)\/(15\/2460) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29380222.1 rounded to the nearest ten thousand?\nAnswer: 29380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 - (-4)\/(-8). Let u = -7 + f. Let q = u - -6. Solve -2*i - w + 9 = -q*w, -4*w + 6 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 107744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -12*m**3 - 27*m - 340. Let t(v) = 5*v**2 + 4. What is 4*j(l) + 27*t(l)?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4557*t**2 - 115*t + 7. Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46071428 divided by -2?\nAnswer: 23035714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 4*t - 1, 19562*j + t - 16 = 19559*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 423a (base 12) to base 13\nAnswer: 33b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0*x + 3*x)*(3 - 3 - x**2) - 2*x**2 + 6*x - 16036*x**3 + 8080*x**3 + 8020*x**3 + 4.\nAnswer: 66*x**3 - 2*x**2 + 6*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24.78354 times 0.5\nAnswer: -12.39177","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 183\/214 + -38\/107. Find f such that 0 - 3\/2*f**2 - j*f + 2*f**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let c(i) = 8*i. Let t(f) = -6*c(f) + 40*m(f). Let z(x) = -13*x. Give t(z(s)).\nAnswer: 104*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -485 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 105700000 = x. Round x to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a + 2. Let d = 0 - -3. Let c(r) = -r**3 + 0*r**d + 3 + 3*r**3 - r. Calculate 2*c(s) - 3*t(s).\nAnswer: s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -335*g**2 + 135*g. Let y(a) = -5*a**2 + 2*a. Let q(j) = -10*h(j) + 675*y(j). Let w(s) = -3*s. Give q(w(m)).\nAnswer: -225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w, w + 5 = 2*f - 0. Suppose -8 = -4*k - s, -6 = k - 4*k - f*s. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(sqrt(192) + 0 + sqrt(192) - sqrt(192)) + 1 + (-1 + 2*sqrt(192) + sqrt(192) - sqrt(192)) + -1))**2.\nAnswer: -1280*sqrt(3) + 76816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 23. Factor 72*r - 15*r**4 + 12*r**2 - 72*r + g*r**3.\nAnswer: -3*r**2*(r - 2)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11120 (base 5) to base 15\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20753335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z**3 - 4*z**2 + 2*z + 1. Suppose 3*w - 62 = -1110*n + 1109*n, -n = 4*w - 72. Calculate the remainder when x(2) is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose u = -b*u + 209. Let w = -134 + u. What is the highest common factor of w and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022427 rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1227181*s - 1227184*s - 18*s**4 + s**3 - s**2 - 3*s**3 as o*s**2 + l*s**4 + w*s + i + x*s**3 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -4*u + 151 - 209, -2*l - 5*u = -u - 56 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:59 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-582*i + 99 + 1164*i - 585*i)*(4*i - 4*i - 2*i + (0 + 2 - 4)*(i + 2*i - 2*i)) to the form d*i + f + y*i**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -9. Suppose -4*o + 4*x - x + 26 = 0, 5*x + 10 = 0. Let q be 1\/((20\/8)\/o). Sort q, -3, j in descending order.\nAnswer: j, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 + 4*t + 6. Let b(j) = -2*j - 16. Let o be b(-17). Suppose o = 5*d - 2*u, -5*d + 25 = 4*u + u. What are the prime factors of k(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 7. Let i be d(-7). Suppose -g = -4*q + 3, q - 2*g + 0 + 8 = i. Let a = -3 - -5. Solve -k - q = -a*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 take away 829265?\nAnswer: -829265.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let w(y) = -5*y**2 - 26*y - 10. Let v be w(-4). Let l be -7*v\/(-147)*-6. Sort g, l, -1, 3 in ascending order.\nAnswer: l, -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -917*k**2. Let i(m) = 36*m**2. Determine i(s(h)).\nAnswer: 30272004*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 87 - 181 - 2*i + 13*i**2 + i**3 + 88. Let w be c(-13). What is the second derivative of 13*a + w*a + 6*a - 10*a + 17*a**2 wrt a?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*u = -48, -6*u - 109 = -4*f - u. Let y = -15 + f. Let q = y - 4. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*k - 2*k + 288, -2*k = -4*a + 230. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 71516366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 8. Calculate the remainder when u is divided by 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 2 i when four letters picked without replacement from iniinininittsi?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 3. Let u(s) = 1. Let f(t) = q(t) + u(t). What are the prime factors of f(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose 2*t + b*t = 8. Calculate the common denominator of -24 and (53\/(-6))\/(1\/t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26. Which is the second smallest value? (a) 3 (b) 0.02 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y + 3834 = 83*y. List the prime factors of y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 11. Suppose 0 = 5*v + z + 56, -v - 2*z - 3*z = -t. What are the prime factors of v\/8*3\/(-9)*146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.4, 134.\nAnswer: -4\/7, -0.4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 350*r**2 - 2411*r + 87. Determine f(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22938585?\nAnswer: 3, 5, 47, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 36*c = 428. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 1.7. Let n = 4 - 4.4. Let p = x - n. Which is the third biggest value? (a) p (b) 1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-12) + 6\/(-9). Let l(o) = -o**3 + 6*o**2 - o + 4. Let f be l(6). Sort -3, i, f in increasing order.\nAnswer: -3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-2) - 6)*(-45)\/9.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 7}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.452*0.232.\nAnswer: -0.104864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 435*f**5 + 3*f**3 - 2104*f - 6. Let u(c) = 435*c**5 + 4*c**3 - 2105*c - 8. Let d(p) = -3*u(p) + 4*z(p). What is the second derivative of d(w) wrt w?\nAnswer: 8700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 843124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*m - 12*m**2 - 43*m)*(-5*m + 2*m + 2*m) + 3*m**3 + 3*m**2 - 3*m**2 - 2*m + m + 3*m + m**3 to y*m**3 + b*m + l*m**2 + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.74, -0.07, -3, 2 in increasing order.\nAnswer: -3, -0.07, 1.74, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295721332.\nAnswer: 2, 3, 21256679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -0.1. Does x = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*(0 + sqrt(252)) + 3*(1 + sqrt(252)) - ((1 + sqrt(252))*3*5)**2) + 4).\nAnswer: 10632*sqrt(7) + 227672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*m - 1496 = 971*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + g)*(19434 - 113*g - 19434)*(1 - 1 - 2)*(-6*g + 3*g + 5*g).\nAnswer: -452*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 13*q - 7*q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 451601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, c: 4}. Give prob of sequence mmcc.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19 + 0.77. What is z rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 minus 0.1355319?\nAnswer: -0.0985319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)\/(-2*sqrt(11) + sqrt(11)))**2 + sqrt(5) + -4)*-1.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 28*u**2 - 300*u - 55. Let r be x(18). Are -2215 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4859 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 - -25.22. Let x = -25.25 + w. Let i = 0.35 + x. Is i at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*k + 8, -156 + 149 = -4*z - k. Sort -2\/47, 0.4, z, -8\/13.\nAnswer: -8\/13, -2\/47, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 - 7*z + 17. Determine d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, -2.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 (base 8) in base 4?\nAnswer: 22033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l + 1 + l - l. Suppose 3*y + 29 = -2*n, -2*y - y - 44 = -n. Let p = y + 15. Let k(c) = 17*c - 5. Calculate p*k(s) + 9*x(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1739985*a*d**2 - 12618*a*d - a wrt d.\nAnswer: -3479970*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 21\/19 - -2. Which is the nearest to 0.2? (a) -0.1 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 56*y**3 + 3*y**2 + 4*y - 1. Determine g(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303543 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.228 - -91.772. Let s = 20568278.899913 - 20568186.9. Let u = r - s. Round u to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112698165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u + 155640 = -20*u + 64*u. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631000 (base 8) in base 16?\nAnswer: b3200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -60, -78, -78, -54, 0, 90, 222?\n\"Answer: i**3 - 37*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*u**2*v**2 + 3*f*v**2 + f*v + 4*u**2*v - 9*u*v - 9*v with respect to u.\nAnswer: 2*f*u*v**2 + 8*u*v - 9*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 3*g**2 + g - 1. Let h be l(2). Let z be 8\/5 + 2\/h. Let t(o) = -27 - o + 53 + o**2 - 24. Determine t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813009000 rounded to the nearest one million?\nAnswer: 8813000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-10 - -5 - -3). Let x = 7 + h. Suppose -3*c - x = -11. Solve -c*l + 7*l = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*d + 64, -d - 64 = -5*d + 5*g. Let q be (-2)\/6 - (-8)\/6. Let i be 7\/(-14) - q\/(-2). Solve 2*b - 6*b - d = i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:53 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppppppppppppc. What is prob of picking 1 c and 2 p?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78761301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 67 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)*z)\/z**19)\/(z**12\/(((z*z\/(z*z**(-28)*z))\/z)\/z)) assuming z is positive.\nAnswer: z**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16695173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/6 - 4888*q**2 + 3*q\/2 + 43992 = 0. What is q?\nAnswer: -29328, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298496?\nAnswer: 2, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/242 and 41\/13?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6118810 or 6118807?\nAnswer: 6118807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*-1*15. Which is smaller: u or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2251*z + 426 - 886 + 460)*(-3 + 2 + 4)*(-2*z + 6*z - 3*z) to x*z**2 + n*z + v and give x.\nAnswer: 6753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*b - 10 = 0, 6 = -20*s + 18*s + 2*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.667 - -10.66695337. What is u rounded to six dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10968.\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22510682.\nAnswer: 2, 179, 227, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 570006369 to the power of 1\/2, to the nearest integer?\nAnswer: 23875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2893324097*z**2 - 2 + 7 - 5 - 2893324094*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.773*-2.\nAnswer: 47.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16409 and 168543?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 - 3027*l**2 + 6058*l = 0. What is l?\nAnswer: -3029, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 2) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-31 + 5 - -17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -610*i + 35*i**3 + 610*i + (-2*i**2 + 5*i**2 - 2*i**2)*(2*i + i - 4*i).\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 5 + sqrt(343))**2.\nAnswer: 112*sqrt(7) + 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 - 5*z**4\/24 - 6*z**3 - 29*z**2. Let u be b(9). Solve -h - 4*h - 5 = u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4)\/p**5)\/((p\/(p\/(p\/(p\/(p\/(p*(p**4\/p)\/p)))*p)))\/(p*p*p**1*p)) assuming p is positive.\nAnswer: p**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 53. Calculate the common denominator of -6 - -2 - m\/(-12) and -9*(-2)\/20 + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let m = y - 7. What is the nearest to -1 in m, 1\/5, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*q = 18 + 72, 0 = -5*y + q + 213. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39371239 + -39371246.0000004. Let m = 0.11 + -7.11. Let p = t - m. Round p to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73029671*x**4 - 30*x**2 + 837710?\nAnswer: -1752712104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -5\/12*c**4 + 0*c**2 + 0*c**3 + 2*c + 1. Let p(y) = 13*y**2. Determine p(o(b)).\nAnswer: 325*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*q + 0 + 0 = -0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1306*x*z - 533*x + 3 with respect to z.\nAnswer: 1306*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 1342, 2315, 3294, 4279, 5270, 6267?\nAnswer: 7270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 23*v**4 - 4*v**3)*(0*v - 3*v + v) + (-2*v + 3*v + 0*v)*(3*v**3 - 3*v**3 + 2*v**4).\nAnswer: 48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.1*-0.2.\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - -1) + (-228)\/(-4) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z - 23*z - 22*z + 68*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 41*k**2 - 90*k + 6. Let n be w(-37). Suppose n = 31*o - 8672. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 - 9*g + 7. Let d(p) = 7*p**2 + 18*p - 14. Let q(a) = -4*d(a) - 9*h(a). Let u be q(8). Let b(x) = -3*x**2 - x + 1. Determine b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i**3 - 2*i**2. Calculate p(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -226920 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.56, -2\/7, -4\/5, -484, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15755\/39 - -404. Which is the third smallest value? (a) i (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - p - 3. Let r be m(3). Suppose -r*x - x = -44. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1. Let m be 2 - (-3 + 3 - 59). Suppose -m + 25 = 2*g. Suppose -2*d - 4 = 2*d. Let p(y) = -3*y + 18. Calculate d*p(f) + g*x(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(10 + -4)*(-4 + 2). Let m be (-4)\/6 - 8\/(-3). Suppose -m*b - 2 = 4. Put -5, i, b in decreasing order.\nAnswer: i, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181647249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184.18857 + -1.03757. Let z = w - 183. What is z rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0*k**7 + 0*k + 0 + 0*k**4 + 1\/20*k**5 + 0*k**3 + 0*k**6 + 1\/112*k**8 - 3*k**2. What is the third derivative of q(d) wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 3*s**5\/20 + 7*s**4\/12 + s**3\/3 - 5*s + 7. Factor m(r).\nAnswer: r*(r + 2)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2220, -2377, -2528, -2679, -2836, -3005, -3192, -3403?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from llwwwuwllwu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57956?\nAnswer: 2, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 13*t**2 + 2*t**5 + t**3 - 3*t**2 + t**3 + 4*t**3 - 10*t**4 - 8*t = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/5 - 8*q**2\/5 - q + 14\/5 = 0. Calculate q.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*w - 0*w + 84, 4*f + 4*w - 92 = 0. Solve 5*h - 27 = -f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41573 or -41572?\nAnswer: -41573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 250466917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 - 571\/2. Let s(f) = f**2 + 10*f - 3. Let i be s(-10). Which is the smallest value? (a) 1\/9 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 64*d**2 - 64*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554\/7*d**3 - 836\/7*d**2 - 136\/7*d**4 - 1\/7*d**5 + 559\/7*d - 20 = 0 for d.\nAnswer: -140, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111067 and 28974?\nAnswer: 666402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30091 plus 0.5?\nAnswer: 0.80091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 497\/16?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + -1)*-5 - -3*(sqrt(847) + -2))*6 + 4 + -3)*-5.\nAnswer: 25 + 660*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 16) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 5*z**2 - 4*z. Let l(n) = -n**2 - n. Let m(p) = p**3 - 6*p**2 + 5*p - 5. Let x be m(5). Let o(y) = x*l(y) + k(y). Factor o(r).\nAnswer: -r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 + 400 - 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(-4))*g)\/((g*g**(1\/6))\/g)*g**(-1\/8)\/g**(-4))\/(g*g**(6\/5)*g*g*g*g*g\/((g\/g**(-2)*g)\/g))**(-5\/2) assuming g is positive.\nAnswer: g**(293\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, s: 2, k: 1, a: 4}. What is prob of sequence skz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6469343.\nAnswer: 6469343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*n - 238 = 0, 2*d + d - 2*n - 373 = 0. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/8, 5, -832, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*m - 3, -3 = -h + 48*m - 6. Let n(p) = -p**2 + p - 1. Let i(c) = c**3 + 10*c**2 - c + 2. Let f(q) = -i(q) - 4*n(q). Determine f(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(4\/30). Let d be (4\/2)\/(p\/5). Solve r = 4*y - 2, 3 + 5 = -d*y + 5*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024401?\nAnswer: 3, 7, 48781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 3789264.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3701825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-125)*(-16)\/24.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 9*h + 9. Let f(p) = -p**2 + 2*p - 2. Let j be 11*11\/363 - 52\/(-6). Let n(r) = j*f(r) + 2*g(r). Let x(m) = 10*m + 2. Determine x(n(c)).\nAnswer: 10*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**(-45\/7)\/(v**(-2\/7)*v\/v**(2\/21))*((v**(-2\/7))**(-2\/11))**16 assuming v is positive.\nAnswer: v**(-941\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -2*l, 6*l + 4*h = 8*l - 2. Suppose 0 = 3*j - 104 - 64. Suppose 0*d + 4*d = j. Calculate the remainder when d is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 109. Let w(l) = 3*l**2 - 2*l. Let b(m) = -m**2 - m + 1. What is t*b(n) - w(n)?\nAnswer: -2*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02892 and -118978?\nAnswer: -3440.84376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 - (66 + -11) - 3.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 7*b + 8. Give f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012026455 to 5 decimal places.\nAnswer: -0.01203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1269 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 5 in descending order.\nAnswer: 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyiyiiiyiyyvivvyiii. Give prob of picking 2 v.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2, -421, 0.2, 1\/4, -59?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i**2 + 3*i. Let g(l) = 17*l**2 - 4*l. Give 4*b(t) + 3*g(t).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, 71, 65, 59, 53, 47?\n\"Answer: -6*b + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, -4\/9, 285, -5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l. Let v(u) = -6*u. Let q(x) = -5*p(x) - 6*v(x). Let m(a) = 12*a - 1. Let k(n) = -m(n) + 6*q(n). What is the derivative of k(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from zvvvzv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 2. Let h = 837 - 836. Let m(l) = -1 + 2*l**3 - l**3 + l - 2*l**2 + 3*l**2. Let i be m(0). Let w(c) = -c - 1. Calculate h*w(t) + i*o(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80029485 rounded to 3 dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -3*o + 52. Let p = 5 + 0. Which is the third biggest value? (a) p (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 39\/(-6) - 6\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(108)*-3.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z**2 - 2*z - 9. Let h be (-7)\/(-2) - (-6)\/(-12). Let n(g) = -g**2 - 5 + 3*g**2 + 3*g**2 - g. Calculate h*s(y) - 5*n(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 2*l + 3. Let n be v(-4). Let k = -231.1 + 230. Let h = k - -1.16. Which is the second biggest value? (a) -1\/6 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 7*n - 3. Let v be i(5). Let s be v*(-5)\/(105\/(-72)). Solve f - 2 = -5*m + 8, m - 5*f = -s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13)*-2*5 + 2*sqrt(468))*6.\nAnswer: -4 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 50. Let k = -20 + t. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005496989 to 7 decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + r**3 + (-6*r**2 - 14*r**2 + 0*r**2)*(21 + 17 - 6)*(-3 + 0 + 5)*(-5*r + 3*r + r) as o*r**3 + n*r + l + d*r**2 and give o.\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 22842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 + -93. What is the units digit of (-4)\/(-14) - l\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/2)\/((-1)\/(-8)). Let m be 2\/d + (-17)\/(-4). Solve -2*c + m = -y, -y - 4 = -c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 - 6*c**2 - 3*c**4 + (4*c**2 + 0*c**2 + 9*c**2)*(-6*c**2 + 12*c**2 + 20*c**2) to g + d*c + k*c**4 + t*c**3 + f*c**2 and give k.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0389632854 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22915187, -45830381, -68745573, -91660763, -114575951, -137491137?\n\"Answer: p**2 - 22915197*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2)\/sqrt(9) + sqrt(11)*1*-1)*4.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 7. Suppose -2*m - 16 + 6 = 0. Determine r(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k. Let d(s) = 39*s**2. Determine t(d(j)).\nAnswer: 273*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 3441438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53060 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**3 - d**2 + 3*d. Let j(k) = 18*k**3 - 2*k**2 + 5*k. Suppose -3*b = 3*z - 9, 2*z - 4*b + 0*b = 6. Calculate z*j(o) - 5*t(o).\nAnswer: 9*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 < 527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -17*l. Which is the nearest to 1? (a) -2 (b) l (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 - -64. Let r = 4 + j. Let c = 26 + r. Which is smaller: -47 or c?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13238*4\/7*(-7)\/(-2)?\nAnswer: 2, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -2 + 1 + 1. Let b be -6*(l\/4 - 0). Solve k = 2*k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 9*j + 8. Let y be d(-9). Suppose -y*r = -9*r - 1600. What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*b + 505 = 514, 3*s = -s + 12*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*b + 56, -106*a - 48 = -111*a - 8*b for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26205 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(2\/9)\/r))**46)**(-19\/5) assuming r is positive.\nAnswer: r**(-6118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*g**3 + 2*g + 364*g**3 - 705*g**3 + 185.\nAnswer: 7*g**3 + 2*g + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i + 46. Let g be m(9). Calculate the highest common factor of g and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1003, 2011, 3019, 4027, 5035?\n\"Answer: 1008*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 20*i. Let u be q(1). Suppose 0*b = 5*b - u. Suppose -b*z + 24 = -3*s, z = -4*z - s + 11. Solve -13 = -4*x + z*w, 3*w = 5*x - 0*w - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2828 - 2558. Calculate the lowest common multiple of 10 and d.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -885 smaller than -883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2.8. Which is greater: u or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 q when four letters picked without replacement from {u: 2, q: 6, e: 3, s: 1}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -50 + 831 + -797?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 35 + 71. Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 216.1017 days?\nAnswer: 5186.4408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -13. Suppose 11 = 2*p - f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*p = -52, 4*p - 16 + 1 = -v. Suppose 0 = -2*z + 10, -2*o - 2*z + v = -9. Suppose -3*g - 1042 = -b - b, -5*b + o*g = -2595. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(80) + 3.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119056?\nAnswer: 2, 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.19 (b) -7 (c) 11 (d) 0.922\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*(9 + 4 + -7). Suppose 6 = p*k - 5*b + 4*b, 3*k = -5*b - 12. What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 7512960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + 1))**2 + sqrt(833) + sqrt(833) + 1.\nAnswer: 2 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - q - 32*q**2 + 28*q**2 + 2*q**2 - 2*q**2 - 2*q**2 + 0*q**2 + q**2 - 3*q**2 + (q + 2 - 2)*(-5*q + 2*q + q) in the form j*q**2 + l*q + p and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/7 - 6*z + 43\/7 = 0. What is z?\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 - (-5 - ((5 - 31) + 4)) - 17.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 3 = -4*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30273979\/358 + -84564. What is the common denominator of z and -87\/8?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 3.1 (b) 0.5 (c) 14.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 148590?\nAnswer: 445770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -934, -3700, -8302, -14740?\n\"Answer: -918*o**2 - 12*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s + 49*s - 4015 - 39*s)*(0 - 1 - 1)*(-4 + 3 - 1).\nAnswer: 4*s - 16060","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 8:41 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let f(x) = -7*x**2 - 2. Calculate f(z(i)).\nAnswer: -7*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**12)\/((u\/u**14*u)\/u*u))**44 assuming u is positive.\nAnswer: u**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7002000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.496222242 to 3 decimal places.\nAnswer: -3.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160671.5ml in litres?\nAnswer: 160.6715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3744995 by -5.\nAnswer: 748999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6379*t - 2*t**2 - 6373*t + 12758*t - 6 as n + b*t + v*t**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3911, 15556, 34933, 62042, 96883, 139456, 189761?\nAnswer: 247798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.144945km in nanometers?\nAnswer: 3144945000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -36*r**2 + 26*r + 24. Let l be w(-5). Let d = 20619 + l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 198*b - 196*b - 8 + 3 - 6 - 9. Calculate d(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.28 and -146.\nAnswer: -146.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926869713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 37 = -2*m. Suppose -3*j + 9 - 104 = -f, -3*f = -5*j - 161. Let p = j + 43. What is the remainder when m is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -363 + 364. Calculate the common denominator of u\/(-420)*947 - 3\/7 and -31\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 5*j - 9 - 3*j. Let w be y(-6). Suppose 3*h + 2*h = w. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 63, 101, 143, 189, 239?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3499460*f**5 - 5268408*f**2.\nAnswer: -209967600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*b - 9842 = 278*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(20\/(-8)) + 3. Factor d**3 + d**2 + 6*d**2 + d - k*d**2.\nAnswer: d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from juzuujjujjjzzj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 128*z - 11720. Give b(92).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80042755 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:46 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.456 + -17. Round t to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*p**3 + 440*p**2 + 255*p**2 + 225*p**3 + p.\nAnswer: -2*p**3 + 695*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.6 - 32. Is a less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzzvvztvvzzzzvutvz. Give prob of picking 1 t and 1 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egee when four letters picked without replacement from eeeeeeeeggeeeg.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 139*o**2 - 31*o**3 + 139*o**2 - 9*o.\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 (base 8) in base 9?\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = q + 47, 2*o - q = 8 - 36. Find the common denominator of o and 5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-132)*6\/(-4)*-6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129285081.\nAnswer: 3, 14365009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 7. Suppose 11*l - 7*l - 56 = 0. Suppose 3*i + 4 = -l. Is u(i) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 17*r**3\/6 - 25*r. Let i(d) = 2*d**2. Determine i(z(o)).\nAnswer: 578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 9*j = 10*j + 9, 0 = -5*p + 5*j + 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 3649100 + 3649100.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (0 + sqrt(567) - 3*(sqrt(7) + sqrt(28))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14028?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*t + 5 - 38, -t + 26 = -2*i. Suppose -15*c - 133 = -t*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -180b0b?\nAnswer: 180b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17022 is divided by 5670.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8900392 is divided by 4450146?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 7*r**2 - r - 10 + r**2 - 2*r**2. What is the units digit of n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/36*-3*60\/30*1\/39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1433 (base 6) to base 12.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-1235)*-38)\/(((-6)\/(-44))\/3).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 6299 = 6321. Find z, given that -6\/5*z + 4\/5 + 2\/5*z**j = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -33. Let r = -2.5 + -0.5. Let w = r + 3.1. What is the closest to w in -1\/8, -3, j?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-6))\/(629\/(-111))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264749693?\nAnswer: 13, 20365361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*o**4 - 434*n**3*o + 1198*n**2*o**5 + 4*o**2 wrt o?\nAnswer: 24*n**3*o + 71880*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -689*n**3 - 318*n**2 + 318*n - 318. Let s(d) = 2*d**3 + d**2 - d + 1. Determine 5*i(j) + 1590*s(j).\nAnswer: -265*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858760450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l + 55. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c = -77*c + 2624. Calculate the remainder when c is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 8*s - 11. Let l be w(-4). Suppose z - l = 1. What is the remainder when 15 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11544160 + -62?\nAnswer: -11544252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6768163*s**2 - 1717*s + 99 wrt s.\nAnswer: 13536326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02428 + -1092181751.23\nAnswer: -1092181751.25428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 38. Calculate the common denominator of 52\/15 and 0 - k - 1116\/297.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1031\/260 + -334\/65. Calculate the common denominator of -38*9*(-20)\/11520 and y.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17690, 101636, 329498, 773234, 1504802, 2596160, 4119266, 6146078?\nAnswer: 8748554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 5*r - 880 + 918, 5*r + 50 = 5*w for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110120301 (base 6) in base 8?\nAnswer: -7407555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + i, -8 + 0 = -2*j + i. Let a be (38\/5)\/((-2)\/(-10)). Suppose -3*w + j = 0, -w + 5 = -5*s + a. Solve -17 = 2*f - s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 44*t - 61. Let b be x(2). Suppose 285 = 5*m - 255. Calculate the highest common divisor of m and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1196\/12411 - -2\/1773. What is the nearest to 1 in j, 3\/4, -1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9044 divided by -266\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9288)\/63 + (16\/14)\/(-2). Is 1406\/j*(0 + -48) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 15) in base 16?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 187. Calculate the remainder when 124 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 s when four letters picked without replacement from {s: 4, z: 14}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9775?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-1113)\/2079 + 5*1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15\/52 + -7\/156. Let l be 32\/(-6) - (-13 + 9). Put b, -0.36, l in decreasing order.\nAnswer: b, -0.36, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106*n + 56*n + 88*n)*(-974 - 52*n + 974) to the form a*n**2 + f + t*n and give a.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y - 7. Calculate w(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = -o - 3*y, 2*y = 0. Suppose -o*p = -p - 108. Calculate the greatest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)\/o)**34\/(o**(-1\/2)\/((o\/(o**4\/o))\/o)))\/((o**(-2\/17)*o)\/(o\/o**7))**0 assuming o is positive.\nAnswer: o**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m - 1. Let o(k) = -7*k**2 + 5*k + 6. Let p(n) = -6*a(n) - o(n). Let d be p(-2). Let 0 + 0*g + 1\/4*g**d = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305*-72\nAnswer: 21960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 + 121*b**4 - 124*b**4 - 6 wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let t = y - -0.5. Suppose -5*o - 10 = 5. Which is the second biggest value? (a) t (b) 3\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352723.72 rounded to the nearest one thousand?\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/2))**(-50)\/((n\/(n*n**33))\/n)**(-46) assuming n is positive.\nAnswer: n**(-1689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 y, and 1 g when four letters picked without replacement from yglyltytxfgtyx.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - 0.3. Let k = 3.6 - -1.4. Put d, k, -1\/2 in descending order.\nAnswer: k, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (829*g - 829*g + 13*g**2)*(2 + g + 2*g - 4*g) as b*g + o*g**2 + q + h*g**3 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 57906\/47 - 1. Let l be 1 + (14798\/(-12) - 8\/(-48)). Let v = x - l. Is v at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:20 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 12:38 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/5 (c) 5 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139907914 is divided by 27981582.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x - 9. Let v be a(3). Suppose 2*r + v*l = -0*l + 418012, -2*r + 418016 = 4*l. Round r to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 205.378817706?\nAnswer: -205.358817706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**1)**(-23)*(b**(-7\/2)\/b**(-2))\/(b\/(b*b\/b**(-3\/8))*b**(-1)) assuming b is positive.\nAnswer: b**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from {d: 2, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-153)*-2)\/((-27)\/((-135)\/(-10)))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.54028 from 0.24.\nAnswer: -4.30028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.3 (b) -7\/3 (c) 5 (d) -2 (e) 17.48 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)*k**13*((k*k**(1\/25))\/k)\/k*k**(-9) assuming k is positive.\nAnswer: k**(203\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 + y - 72. Let u(a) = -40*a**2 - 4*a + 426. Let i(f) = -17*s(f) - 3*u(f). Calculate i(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 32 = 8. Let k(w) = -1 + 3 + r*w - 8*w**2 - 4*w. Let g(t) = -17*t**2 + 9*t + 5. Let y(p) = 4*g(p) - 9*k(p). What is the derivative of y(v) wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1267099 (base 12) to base 2.\nAnswer: -1101110011110110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (70\/21 + -4)\/((-4)\/(-6)). Let u(q) = 284*q**2 + 2*q + 1. Let v be u(f). Let o = 446 - v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and -16\/285.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (4 + 5 - (6 + 5))) + 7\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-366*o + 119592 - 119592)*(0*o**3 + 0*o**3 - 3*o**3 + (o - 2*o + 2*o)*(-1 - 2*o**2 + 1)).\nAnswer: 1830*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 23 = 4*a, -4*g - a = a - 22. Let k be ((-14)\/(-8))\/((-2)\/8). Let z(r) = -r. What is the remainder when z(k) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650067928.\nAnswer: 2, 149, 547, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-2 - 0))\/(-3). Let b be (m - -1) + (-6)\/(-3). Suppose -b*x = -5*x + 98. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315923364 and 13168.\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13086 + -177?\nAnswer: 12909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 38*o + 137. Let k be b(-7). Is (-20275)\/(-1) + 74 + k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16827, -136585, -461629, -1094601, -2138143, -3694897, -5867505?\n\"Answer: -17107*m**3 - m**2 - 6*m + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 94002 + 3\/(-3). Suppose x - 3*x + k = 0. What is x rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -218712783 - -3?\nAnswer: -218712780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)\/sqrt(4) + 2 + sqrt(18)\/sqrt(144))**2.\nAnswer: 9*sqrt(2) + 113\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 8}. What is prob of sequence gj?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15489767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -2 - (-24 - -36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 104. Let r(h) = 2*h - 156. Let f(s) = 8*j(s) - 5*r(s). Let a = -49 - -25. Let o be f(a). Sort o, 2, 5, -5.\nAnswer: -5, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18240350 a multiple of 607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 6*v**2 + 43*v - 14. Determine m(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -307983 minus 105127?\nAnswer: -413110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from ppppppdpu?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((86\/(-215))\/(16\/10)*8)\/((-2)\/(-61)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 4 + -9*2\/(-6). Suppose n*m + u = -224 + 3941, m - 737 = 3*u. Suppose -3*f = 5*b - 457, -b - m = -7*f + 2*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.1, 8\/2281, 24?\nAnswer: 8\/2281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c - 5. Determine i(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - -1 - (7 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.2245258 + 1\nAnswer: 9.2245258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21044080583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12845 rounded to 3 decimal places?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9219, 2\/5, -5?\nAnswer: -9219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3935065 divided by 66.\nAnswer: -3935065\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -2)*(1 + -3). Suppose -4*b = -o*b + 12. What is the nearest to -24 in 5, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkkkkkkkkkpkpk. Give prob of picking 3 p and 1 k.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2639347555 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1469 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*a**3*u - 79*a**3 + 25*a**2*u - a**2 - 389*a*u - 3*a + 240*u wrt a.\nAnswer: 300*a*u - 474*a + 50*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 491024666 divided by 22319303\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 7*t**2 + 3*t - 16. Let y be x(7). Suppose -2*m = 2*m. Let l = 2 + m. What is the highest common divisor of y and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*h - 3*h**3 + 396*h - 288*h.\nAnswer: -3*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y = -16. Let j(h) = 8 - 4*h**3 + 3*h**3 - 1 + 5*h + y*h**2. Suppose 5*m - 26 = t, -5*t = 2*m + 1 - 6. Give j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 140204201?\nAnswer: 140204124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 + 4. Let a be (-6)\/3 - (1 + -5). Let t be l(a). Let k be 2\/(-3) + t\/(-24). Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/17 (b) 2 (c) -5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5, 3*z - v = 2*z + 2. Let c = -6 - -8. Solve -20 - 3 = 5*x - c*d, -3*x = 3*d - z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/((-10370)\/(-4386)))\/((-9)\/180*4).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 2 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -3. Suppose 3*t + 20 = s. Suppose -3*w = -2*w - t. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60258.89 decades in months?\nAnswer: 7231066.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67117, -67738, -68357, -68974, -69589?\n\"Answer: v**2 - 624*v - 66494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/4 - (-2)\/4. Suppose -5 = 5*w + 5. Put w, m, 3 in ascending order.\nAnswer: m, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**3 - 6 - 4 - 18 - 9*o**3 to the form s + z*o + f*o**3 + v*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38995340 divided by -670.\nAnswer: 58202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z + 10 = 0. Suppose 200*v - 203*v = 3*f - 3, -3*f + 4 = 4*v. Calculate the least common multiple of v and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 + 2260?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 715, -4, -5 in descending order.\nAnswer: 715, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Let x be h(1). Suppose -2 = -x*s + 6. Let a(o) = o**2 - s*o - 2*o**2 + 4*o. Let l(p) = -5*p. Determine l(a(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*q + 2*q**4 - 2 - 14*q**2 + 3*q**4 - 4*q**4 + 10*q**2 wrt q.\nAnswer: 12*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 - 3 - 20*k**3 + 334*k**5 + 14*k**4 + 22*k - 336*k**5 - 4*k**2.\nAnswer: -2*(k - 5)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21979669 and 2572.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3844560.\nAnswer: 2, 3, 5, 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -138. Let c be 8\/g + (-36)\/198. Sort c, -1, 1\/22 in ascending order.\nAnswer: -1, c, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - -102?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0, 1, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086 divided by -5026?\nAnswer: -149\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, 2, 33 in descending order.\nAnswer: 33, 2, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*a + a**2 - 103*a - 6821 - 4*a**2 + 1279.\nAnswer: -3*a**2 + 153*a - 5542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-3*o + 7*o - 2*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 468a - -10?\nAnswer: 469a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(200))*-1)\/(3*sqrt(484) - sqrt(484)).\nAnswer: 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a hour in seconds?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 1 + 1 + 0 - 3 + (-1 - 1 + 1)*(-1 - 2 + 2) - 1 - 2 + 4)*(5*d - d - 2*d)*(-4*d - 7*d - d) as x*d**2 + t + n*d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 1 e when three letters picked without replacement from {o: 1, s: 2, e: 4, c: 12}.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/384 and 125\/193807104.\nAnswer: 193807104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049422 is divided by 792.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:08 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 + 0.022246?\nAnswer: 1652.022246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose q*x = x. Suppose -3*d + 22 + 14 = x. What are 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 10967714 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(500)*5)\/((-6*sqrt(80)\/sqrt(2))\/(sqrt(576) - -2*sqrt(576) - sqrt(576))).\nAnswer: 500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkjphhkpwck. Give prob of picking 2 h and 1 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 963223.4 millilitres in litres?\nAnswer: 963.2234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l - 248*l + 18193 + 19103 = 0 for l.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1.713?\nAnswer: -1.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 3*sqrt(45))**2 - (sqrt(540)\/sqrt(9))\/sqrt(12).\nAnswer: -sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - c - c. Let g(j) = -j. Give g(z(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16193 times 47?\nAnswer: 761071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*d + 62*d + 16*d + (18*d - 24*d - 26*d)*(2 - 3 + 2) to m + g*d and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 10:49 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27772877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 - y**2 + y + 1. Let m be i(-1). Let o be 84\/27 - m\/36. Suppose -p - 359 = -4*j - 144, -5*p = -o*j + 140. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 v, and 1 o when four letters picked without replacement from oohhbovhoh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83\/249)\/((-2)\/6)*(-14)\/63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)*4*-1. Suppose -3*y - m + p = 0, -2*y + 6*y = -2*m + 2. Solve -10 = -5*h + y*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 330*a + 11605. What is the remainder when 6916 is divided by u(40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-45))\/((-2)\/12)*66\/616?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.40077013 - -21488\nAnswer: 21485.59922987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**6\/240 - o**5\/40 - o**4\/16 - 10*o**3\/3 + 2*o. Let z(x) be the second derivative of a(x). Suppose z(h) = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17034353 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 19984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/609 or -3974?\nAnswer: -3974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (-5)\/(-2). What is the units digit of g - (3\/(-1) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4364 = 3*g - a, -17*a + 20*a = 3*g - 4356. Let v be ((-72)\/(-14))\/(156\/g). What is the highest common divisor of 48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 277964, 556350, 834736, 1113122, 1391508?\n\"Answer: 278386*k - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0*n + 0 + 4*n**2 + 1\/24*n**4 + 0*n**3. Let u(b) = 3*b + 10 - 10. What is s(u(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22729 = -159*v - 32*v. What is the least common multiple of v and 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 5*l**2 + l - 4. What is u(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 432\/(-315) + (-4)\/(-7). Which is the closest to 2\/5? (a) -0.1 (b) -16 (c) o (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898211?\nAnswer: 3, 7, 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*i + 4*t + 469 = 89*i, -2 = t. List the prime factors of i.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.04, 2, 1\/3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/5 - 771264*u\/5 - 771262\/5 = 0.\nAnswer: -385631, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((324\/48)\/9)\/(18\/624).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 22 = -4*w - 4*u, 5*w - 31 = -2*u. Let t = -2 - 8. What is the remainder when w is divided by (3 + t\/3)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431699812 to the power of 1\/2, to the nearest integer?\nAnswer: 20777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1707, 3\/8, 5?\nAnswer: 0.1707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9188 - -9187.9. What is the closest to 5 in k, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(39856\/(-2226) - 4\/42)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 13*q**2 - 15*q - 9. Let n be u(11). Suppose -65*f + 3 = -n*f. Let o be (12 + f)*(-4)\/(-4). Calculate the greatest common divisor of o and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1273695*18\/54)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**3 + 2*n**2 + 2*n. Let c(q) = 360*q**3 - 81*q**2 - 81*q. Suppose -464*p + 24 = -470*p. Give p*c(h) - 162*f(h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - -2.95. Let u = 3 - g. Let x = -0.4 + 1.4. What is the nearest to u in -1, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3 + 47*s**2 - 407*s - 455 = 0.\nAnswer: -1, 13, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -177377 (base 9) to base 14\nAnswer: -2c332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -148, -300, -454, -610, -768, -928, -1090?\n\"Answer: -s**2 - 149*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8491451713 rounded to 5 dps?\nAnswer: -0.84915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d01b0 + 3?\nAnswer: -1d01ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**7\/1260 + z**6\/180 + z**5\/60 + z**4\/8 - 7*z**2. Let q(j) be the second derivative of g(j). Suppose q(w) = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3395 + 1ca7?\nAnswer: -14cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(153)*1 - (sqrt(153) - -3*(sqrt(153) - (sqrt(153) - sqrt(153)*2))).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 250 - 210 = -4*u, 4*z - 455 = -3*u. Is 13917\/6 + 11\/(z\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 0*k**3 + 4*k + 5*k**3 in the form m*k**3 + v*k + a + l*k**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*t + 262*t - 15 + 153 = -97 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:54 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-10)*(-3)\/((-9)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.994 + 0.006. Let m = -29.99999883 + u. What is m rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l\/((((l*l\/(l\/l**(1\/3)*l))\/l*l*l)\/l)\/l)))\/l)**(-2\/9)*(l**0\/l)\/((l\/l**(-10))\/l) assuming l is positive.\nAnswer: l**(-275\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134780724 = 37*r + 100687276. Round r to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:44 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 8:40 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k + 21. Let b be r(5). Let f be b + -6 + (-12 - -11). Let d = -6 + 4. Put d, f, 2 in descending order.\nAnswer: 2, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6086092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -123. Let l be ((-599)\/s - 7)\/((-4)\/(-6)). Round l to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 5*s = 5*m - 11*s - 340, -3*s - 103 = -2*m for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*3*(sqrt(11) - (sqrt(44) + -2))**2.\nAnswer: -288*sqrt(11) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t**4 + 111114652*t**3\/3 + 51443656020812*t**2\/3 + 44584403610020*t\/3 - 6859141296200\/3 = 0. Calculate t.\nAnswer: -925955, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426650785?\nAnswer: 5, 11, 17, 127, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.92. What is h rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1643.7 and 0.3.\nAnswer: -493.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-314)\/10)*15. Let s be k\/4 + (-6)\/(-4). Let n be 1\/4 - s\/28. Let y(d) = d**3 - 5*d**2 + d. Calculate y(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -714538*l**3 + 115*l - 1045?\nAnswer: -4287228*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 265 (b) 0.3 (c) -17 (d) -1.04 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3 + 20\/6). Suppose s*g - 5 - 22 = 0. Let r(f) = f - f + g*f**2 - 1 + 2. What is r(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 139*b - 1. Let l be x(14). Suppose 0 = 4*d - 9*d + l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 8861334*g**3 - 70890540*g**2 - 177226248*g - 141780960 = 0 for g.\nAnswer: -2953770, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27589 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19 (b) 400 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s**3 + 132*s**3 + 160*s**3.\nAnswer: 205*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 126\/189 + (-1)\/(6\/(-14)). Suppose 5*x + 5*z = 30, -1 = -z + c. Find the third derivative of 0*y**3 - 21*y**6 - 11*y**2 + 0*y**3 + 10*y**x wrt y.\nAnswer: -2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2995831 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - q + 4, -u + q - 2 = 2*q. Let f(o) = o + 2. Let m be f(-4). Let c be 3 - (-1 - m) - 0. Solve -u*t - c - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d\/d**(5\/2)))\/d)*d\/(d*d**(-2))*(d**0)**(-11\/8)*(d**(2\/7))**37*d**(-1\/12)*d**(-2\/3) assuming d is positive.\nAnswer: d**(317\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86, 159, 224, 281?\n\"Answer: -4*y**2 + 85*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-8 - -9)) + (30 - (11 - 21) - -2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**2 + 16*p**2 - 17*p**2 - 8*p**2.\nAnswer: -35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355831 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1382, -2711, -4094, -5525, -6998, -8507?\n\"Answer: y**3 - 33*y**2 - 1237*y - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4a1b2b (base 12) to base 7\nAnswer: -13152065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - 53*d + 149. What are the prime factors of s(13)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 + 406*z**2 + 21004*z + 40400 = 0.\nAnswer: -101, -100, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -20*k**4 + 2106*k**3 - 5350*k**2 - 141384*k + 42840 = 0?\nAnswer: -7, 3\/10, 10, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 1\/10, 0.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*w - 497 = 0, 386 = -4*h - 5*w - 28. Let m = h - -142. Is (10 - (-1 + 4))*m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.8 and 1565.\nAnswer: 45072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p. Let x(k) = -42*k - 30. Let y(j) = 11*j + 8. Let b(t) = 4*x(t) + 15*y(t). Determine s(b(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 6628677*h + 6628678.\nAnswer: -(h - 1)*(h + 6628678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6555*g*k**4 + 69*g*k**3 + 4263*g*k*q + 2812*g*q - 2*k**4*q - 2*k**2 wrt k.\nAnswer: -157320*g*k + 414*g - 48*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 12*i**2 - 8*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*o*v**4 + 99*o*v**3 + o*v**2 + 5523*o*v - v**4 - 3*v**3 + 28*v**2 wrt v?\nAnswer: -6024*o*v + 594*o - 24*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-12 + -5)) + (-115 - -167)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(128)*-6 - (-1*sqrt(128) + -4) - (sqrt(128) + 0 + -2 - sqrt(128) - (sqrt(128) + 1 + 1))))**2*-6.\nAnswer: -151392 - 16128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/22 and 41\/9856.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 40. List the prime factors of (-180)\/c - 8\/44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2325288 to the nearest 10000.\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -3\/2*x**2 + 1\/4*x**4 + 0*x + x**3 + 29. Determine r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (3 - (1 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196946048?\nAnswer: 2, 13, 71, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26623 is divided by 5324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 40*s)*(4 + s**2 - 4).\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Let z be (-10)\/45 + 2\/9. Suppose z*a = -2*a + 64. What is the greatest common divisor of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-33)*((-6)\/50)\/(1\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*t = 363*t + 390*t + 176 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -433337*p - 2580463?\nAnswer: -433337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-88)\/10)\/((-38)\/(-10)) and 29\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (-75)\/(-10))*-32. What is the highest common divisor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*j + 6 = -150*j. What is the third biggest value in -5, j, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3556*h - 2173311 + 2173311)*((1 - 2 + 2)*(2 + 2 - 2)*(-5 + 1 + 3)*(-4*h + 3*h + 2*h) - 5 + 5 - 3*h) to the form b + g*h**2 + t*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494 times -0.086?\nAnswer: -214.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -590, -1465, -2340, -3215, -4090, -4965?\n\"Answer: -875*z + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61 and -36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165796183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45758 is divided by 1701?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -34. Let u = 13 + f. What is the units digit of (-3)\/((-9)\/u)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 47*f**6\/120 + f**3\/3 - 9*f**2 + 54. Let g(b) be the third derivative of w(b). Let d(q) = -2*q. What is d(g(y))?\nAnswer: -282*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*l + 386 - 2784 = 638 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007291 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Let p(f) = -f**3 - f**2 - f + 11. What is p(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 7*t. Let x = 1 + 0. What is the smallest common multiple of b(3) and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/18 - ((-7)\/3 - -3). Let g = 2 - 1.95. Let u = 3.05 - g. What is the second biggest value in 4, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = 23*i + 3*i - 290 + 121 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2171.\nAnswer: -5\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43605 divided by -40.\nAnswer: -8721\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001000010100010000 - 0?\nAnswer: -10111001000010100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -25*y + 9. Let b(r) = -34*r + 12. Let n(t) = 3*b(t) - 4*w(t). Let l(d) be the second derivative of -8*d**4\/3 + d. Calculate l(n(a)).\nAnswer: -128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1371011326.08 and 1140.\nAnswer: 1371012466.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13667\/4671 + 9\/(-3)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 + -0.55. Let y = -0.1 + 4.1. Which is the closest to j? (a) 0.4 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17343000 to the nearest 100000.\nAnswer: -17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f - z + 4, -3*f = 5*z + 14. Suppose 3*q - 2*p - 35 = 0, 3*q - 4*p - 18 = 25. Solve 0 = 4*r + 3*x - q, -x + f + 1 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 1058.1.\nAnswer: 1058.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 145*u**2 + 2 - 5*u + u - u**3 - 140*u**2. Let k be w(3). Let v(z) = z**3 - 7*z**2 + 2*z + 3. What is the units digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.50044 + -0.20044. Let g be (80\/(-22))\/(-2) + -2. Which is the nearest to 1\/4? (a) y (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5118 + -5054. What is the smallest common multiple of p and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/890076 and 47\/1226.\nAnswer: 890076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289 - -9 - (1 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 139*q**3 - 68*q**3 - 73*q**3 - q - q**2 as u*q**4 + g*q**2 + b + s*q + f*q**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -51*o + 8. Let y be x(-4). Suppose 0 = k - 5*s - y, k - 204 = 4*s - s. Suppose -k = -3*w - w. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 66?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 28336896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9))**45 assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174129 or 174130?\nAnswer: 174129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 2*n. Let w(i) = 16*i**3 + 11*i. Suppose -4*r = -3*r + 2. Give r*w(v) + 11*l(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -59330*g + 85. Let v be n(-3). Let m = 301436 - v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = b + b, 2*r = 6. Let n = 1240 + -1236. Suppose 4 = -b*m - 2*d, 0 = -3*m - 5*d - 6 - n. Solve -3 = 3*z - 2*g, 7 = z + 2*g - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5417 (base 13) to base 12\nAnswer: -6915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 + 3*r**3 + 7*r**2 - 4*r + 325. What is i(11)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Let b be 2\/24*24\/9. Find g such that -b + 0*g**3 + 4\/9*g**r - 2\/9*g**4 + 0*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1242, 6293, 14714, 26505, 41666?\nAnswer: 60197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 4*r = 2*q + 16, -3*r - 11 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3496278311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -250 (b) 36\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (697*v - 404*v - 414*v)*(-1 + 2 - 2)*(0*v**3 + 0*v**3 + v**3 - 7*v) as f + l*v**4 + u*v + x*v**3 + r*v**2 and give r.\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 122027938?\nAnswer: 122027938.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let a(s) be the second derivative of s**6\/12 + 25*s**4\/12 - 146*s. Let p(n) be the third derivative of a(n). What is p(l(h))?\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 2, w: 5, r: 2, b: 1, h: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -1961 + 457. Calculate the greatest common factor of 94 and v.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -499, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -269841, -539672, -809503, -1079334?\n\"Answer: -269831*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 193, 194, 183, 154, 101?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, p: 2, f: 1, q: 5}. Give prob of sequence fdqp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**5 + 0*j + 0*j**2 + 0*j**4 + 153 + 37\/3*j**6 + 2\/7*j**7 + 45*j**3. Find the third derivative of z(r) wrt r.\nAnswer: 240*r**3 + 4440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/969215 and 107\/1594330.\nAnswer: 269441770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/21 (b) -0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 - -339. Suppose x = 3*v - r, -4*r = v - 0*r - 81. Let k = 100 - v. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, -5, -18, -31?\n\"Answer: -13*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 302, 305, 312, 323, 338, 357, 380?\n\"Answer: 2*w**2 - 3*w + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16362 - 0.06?\nAnswer: 16361.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 16. Let j = 48 + -48.1. What is the nearest to 0 in 0.3, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3253238571 and -24.675.\nAnswer: 3253238546.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(12)\/(sqrt(20)\/sqrt(5)) - -5*(sqrt(3) + -1)))**2.\nAnswer: -24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let v(b) = -4*b**2 + 6*b - 11. Give 6*a(h) - v(h).\nAnswer: 4*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 - -0.07. Let d = -0.8 + a. Let o be (-2)\/(-12) - (-16)\/32. What is the biggest value in o, d, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, -3547.\nAnswer: -3547, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g - 4*n - 9508, -g + 4*n + 2392 = 0. Let p = 11905 - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 8*k + 157. Let g be a(-17). Solve -12 + 2 = 2*v, v = g*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-852)*(-13473)\/(-5988).\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33851482.\nAnswer: 2, 7, 67, 151, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051743 rounded to 6 dps?\nAnswer: -0.000517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v)\/(v\/(v*v\/v**(1\/6)))*v**(1\/5)\/(v*v**(-6)\/v*v)*((v**(1\/8)\/v)\/((v\/(v\/v**(-1)))\/v))\/(v\/(v\/(v*v**1)*v)*v)**(-4\/7) assuming v is positive.\nAnswer: v**(6973\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1184652 - 4227862\nAnswer: -3043210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.07 + -0.07. Let i = 1.509 - 1.563. What is the third biggest value in 2\/5, d, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 40. Let x be o(10). Let a be x + (-9)\/3 - (0 + 1). Put a, 0, -2, -3 in decreasing order.\nAnswer: 0, -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 11*m**2 - 27*m + 313. Give f(10).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 85.2 (b) 0.332 (c) 5 (d) -0.1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-4)\/j)*(j*j\/j**(9\/7))\/j assuming j is positive.\nAnswer: j**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 17588 + 29*q**2 + 17586.\nAnswer: 27*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61910715761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*n + 3*n - 44 = 0, v + 396*n = -v + 399*n for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = -361. Let m = h + 166. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3\/(6\/(-14))). Let m = -3.678 - 0.322. Let g = 3 + -2.9. What is the nearest to 1 in g, m, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/70*2\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/9 - 73645*x\/9 - 73654.\nAnswer: (x - 73654)*(x + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*k**5 + 77*k**3 + 22913*k**2 wrt k.\nAnswer: -2760*k**2 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 9.7, 4, -3, -37, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -38*r + 4. Let k be z(5). Let y = 1300\/7 + k. Let p = 2\/27 + -35\/108. Which is the closest to p? (a) 4 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2. Let r = -33 - -27. Let t(y) = 65*y**2 - 25. Let d(q) = -8*q**2 + 3. Let z(u) = r*t(u) - 50*d(u). Determine z(h(v)).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086 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: Let x = 1.673 - 0.163. Let h = x - -3.51. Let n = h + -0.02. What is the second biggest value in 8, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 16*f = 300. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3044 by -173.\nAnswer: 3044\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.096 - 1.756. What is the second biggest value in 15, p, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + (-1 - 3) - (-210 - -96).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -1*-1*sqrt(170)) + sqrt(170) + sqrt(170) + -5*-6*sqrt(170))\/((-6*sqrt(100))\/sqrt(10) + 2*sqrt(10)*-5).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgffg. What is prob of picking 1 f, 2 g, and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/11 (b) 3 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214931 divided by -17.\nAnswer: -12643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 v, and 1 o when four letters picked without replacement from {j: 2, v: 1, i: 4, s: 1, o: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3640\/42)\/(-26)*(-3)\/1. Solve -p*a - 182 = -142 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 15, 0 = 4*m + 4*b + 7 - 3. Let h be m*(-4 - (-38)\/8*1). Solve -2*u + h*u - 4*f - 3 = 0, 0 = -5*u + 2*f - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {s: 3, e: 4, h: 6, d: 1, f: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 2818*a**2 + 7941124*a - 22378087432\/3.\nAnswer: (a - 2818)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 2843788 + 2843835 + 8*i**2 + 2*i**3 to the form m*i + d*i**2 + l*i**3 + n and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 78 = -z, -112 = -3*g + 4*z - 5*z. Let b be (g\/2)\/1 + -2. Let m be -1*(3 - 2)*-5. Solve -4*s = 5*t - b, -t = 4*t - m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - 3) + -2 + 1 + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) + -22 + (-1960)\/(-90).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 2*w**2 + 8*w**2 + w**2 - 8*w**2 - 4*w**2.\nAnswer: -3*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*y + 16, g + 2*y - 6 = 2*g. Let z(l) be the first derivative of -2*l**2 + 2*l + 2\/3*l**3 - g. Factor z(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*v - 111488, -z + 27876 = -194*v + 197*v. Does 163 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 506*o. Let p(j) = -j. Calculate a(p(y)).\nAnswer: -506*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 10 + -12)*-1. Let t = -1 - -2. Which is the closest to -0.1? (a) o (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1560 + 1558. Let u = -23 + 35. Let z(m) = -8*m**2 - 6*m. Let a(k) = -k**2 - k. Calculate u*a(w) + x*z(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -8 + (-7 - -5). Which is the nearest to -0.1? (a) -4 (b) h (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 10110111110?\nAnswer: -10111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 161*a**2 + 20*a**2 - 7*a - 22*a**2 + 6*a to the form p*a**2 + k*a + v and give p.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3 - 3)*(-3828*n - 7169*n - 2421*n - 299*n).\nAnswer: -13717*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = d + 3*r, -8*r + 15 = -5*d - 10*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1099795 or -9898154\/9?\nAnswer: -9898154\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049180647 to 6 decimal places.\nAnswer: -0.000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)*(s\/((s*s**(2\/9))\/s))\/s*s\/((((s\/s**(-4\/5))\/s)\/s)\/s)*s\/(((s*s**(1\/5))\/s)\/s*s))**44 assuming s is positive.\nAnswer: s**(1166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u + 345. Let v be d(0). Let j = 396 - v. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 8. Let v be ((-5)\/(-4))\/((-2)\/k). Let s be (-108)\/(-28) - 3\/(-21). Solve -5*m - s*d + 12 = -23, 5*m - 2*d - v = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 26*u - 103. Give o(19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153732684?\nAnswer: 2, 13, 22187167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11038 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: Is 128163 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/464*((-31)\/31 - 23)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -735 and -0.4.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 - 1. Suppose -3*k - 75 = -72. What is o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, n: 1, e: 1, o: 2, l: 1}. Give prob of sequence oja.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + (8 - 18) + 4. Suppose -2 = -3*k - 5. Put -16, k, 2, y in ascending order.\nAnswer: -16, k, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 486844\nAnswer: 4868.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 14645.685?\nAnswer: 14642.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/199532 at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/142175 and 52\/219725.\nAnswer: 2416975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 14*c**2 - 15*c + 17. Let m be (-38 - -12) + (-1 - -12). Give a(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7033 + -6324. What is the remainder when m is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 1. Let c(v) = v**2 - 9*v - 7. Let w be c(10). Let g(h) = 4*h - 2. What is w*g(n) - 5*y(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)\/((-4)\/(-5) + -1). Let n(j) = 7*j**3 + 9*j**2 - 9*j. Let u(a) = 3*a**3 + 4*a**2 - 4*a. Give q*u(p) - 2*n(p).\nAnswer: p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437088367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -5321320 - 2969371 + 1399731. What is q rounded to the nearest 10000?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y + 5*h = 20, 0 = 4*y + 5*h - 15. Suppose y*w - 144 = 2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4989 or -39.99?\nAnswer: 4989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 - 35 = -2*p, -4*u = -4*p - 36. Let q = 0 - 0. Suppose q = -s + u + 7. What is the smallest common multiple of 10 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 558437334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 r when four letters picked without replacement from {l: 5, r: 5, c: 2, k: 5}?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2004*v - 1869*v + 3703*v.\nAnswer: -170*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.43 + -0.43. Let u = 2200.22 - 2223. Let s = p + u. What is s rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*d + 247, -5*p - 3*d = -6*d - 355. Suppose b - p = -10. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4 (c) 0.5 (d) -106 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 - -32.7. Let w = 5158\/45 - 1028\/9. Let f = -7 + 8. What is the biggest value in f, 0, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/9))**15\/(f**(1\/8)*f\/f**4) assuming f is positive.\nAnswer: f**(349\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87337 is divided by 29109.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 632 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -19\/5 = -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.1. Let m = -3751 - -3755. What is the nearest to 0 in k, m, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3 - 2) + 25\/200.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 328 = -0*u - 2*u, 0 = 4*v + u - 650. Suppose 6*m - v = -144. Suppose 0*n = 2*n. Solve 0 = -l + j + m*j + 20, n = -2*j - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 60 + (1 + -3 - -25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 628499997\/15 - 4\/(-20). Round j to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 2*r)*(13283 - 13283 + 253*r**3).\nAnswer: -506*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 0 + 1 + 5*g + 11*g**2 + g**2 - 1.\nAnswer: 4*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 400 = 17*d. Suppose 0 = -48*w + d*w - 14. Calculate the remainder when 29 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -230045?\nAnswer: -230042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110321112 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-54))\/(4*17\/408). Let s = -5.1 - -0.1. Which is the closest to x? (a) 2 (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/5 - 6*w**2 + 252*w\/5 - 1355. Find j such that h(j) = 0.\nAnswer: 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-137)\/(-812) + (-1533)\/10731).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2*h**2 - 5*h + 8. What is n(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 855?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1692 or -1664?\nAnswer: -1664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2388*g**2 + 65*g - 4. Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7275, 28688, 64369, 114312, 178511, 256960?\n\"Answer: -z**3 + 7140*z**2 + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -166408.\nAnswer: 3\/166408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-1))\/((-240)\/32). Suppose -n*m**3 + 0*m**2 + 6\/5*m + 4\/5 = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 2*y - y + 24*y to the form w + s*y and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1831.\nAnswer: 1\/1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118180 is divided by 585?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 223, 5\/6, -4, 16, -5, -1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 + 459. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9491 + 9*g**2 + 9491 - 6*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 114*p - 114. Let n be z(39). Calculate the common denominator of ((-4)\/(-3))\/((-4)\/38) and (400\/(-135))\/8 - 3\/n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 5*w**2 + 3*w. Let m(y) = y**2 + 1. Let d(a) = 5*m(a) - o(a). Let p(u) be the first derivative of d(u). What is the derivative of p(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -4. Suppose -6 = z*s - 3*m - 24, 2*m + 14 = 3*s. Suppose 22 = 2*c + 3*x, 3*x - s*x = c - 17. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 - -11202?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38935121629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8962844 is divided by 305?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635333700 to the power of 1\/3, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2503 = 23*d - 2871. Solve 16*r - 11*r + 2*y = -18, -5*r - d = 4*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - l. Let c(o) = -2*o**2 + 4*o + 1. Let n = 12396 + -12402. Give n*k(g) + 2*c(g).\nAnswer: 2*g**2 + 14*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 9*m - 10*m + 57 = -14, 3*b = 38*m - 43*m + 58 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15347 by -5.\nAnswer: -15347\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3263?\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/l*l**(-3)*((l**0*l)\/l)**(-18)*(((l\/l**(-5\/2))\/l)\/l)\/(l\/(l**(1\/3)*l*l))*l**(-1)\/l*l**(-2\/27) assuming l is positive.\nAnswer: l**(-67\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7927, 7929, 7931, 7933?\nAnswer: 7935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34817*-1.4.\nAnswer: 48743.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 8117*q**2\/2 + 3566985*q\/4 + 49320963.\nAnswer: (q + 111)**2*(q + 16012)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396722 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 57\/(-12))\/((-3)\/(-12)). Let q be (-3510)\/(-42) - (-1 + 4\/t). Let h = q + -89. Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 204 + 27 = 0. Let n = 108 + y. What is n rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45154660, -45154659, -45154658, -45154657, -45154656?\nAnswer: -45154655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8) - -5*4\/80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 + -1.1. Let b = j + 4.1. Round b to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) -1\/7 (d) -4 (e) -3\/50 (f) -0.089 (g) 41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 4. Let w be b(-7). Let v be (-16)\/2 - 12\/(-3). Let d = -3 + 2. What is the closest to -1 in w, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let a be n(-2). Suppose a*w = -2*w. Solve -2*q + w*q + 14 = 3*d, -12 = -3*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 41*q**2 - 81*q + 239. What is u(-43)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 2022*n + 2017*n - 17, 3*q + 23 = -5*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-88)\/(-10))\/(1\/5). Let u be (-1)\/(-1) + (-52)\/y. Let q(j) = 4*j - 27. Let d be q(7). Which is the closest to 1? (a) u (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-2)\/12). Let w = -1 + d. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -856 or -0.57?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 22*s**2 + 50*s + 155. Calculate d(-6).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -175261, -174608, -172827, -169354, -163625?\n\"Answer: 94*j**3 - 5*j - 175350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*z - 0*p - 9, 0 = -5*z - 4*p + 29. Suppose -176 = -b + z*g, 616 = 2*b + 2*b + 2*g. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - (-407)\/44 - (-14)\/8. Put 4, -36, h in ascending order.\nAnswer: -36, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 + 4*f + 3. Let q be i(4). Let t(k) = 4*k**3 + 6*k + 3*k**2 + 2 - 5*k**q - 8. Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 12224?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -38*f**2 - 370. Let d(b) = -b**3 - 37*b**2 - 375. Let z(h) = -2*d(h) + 3*v(h). Differentiate z(p) with respect to p.\nAnswer: 6*p**2 - 80*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/9*3 - 948\/36*-3. Let k = -56 - -86. Calculate the greatest common divisor of j and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39117, -156610, -352487, -626748, -979393, -1410422?\n\"Answer: -39192*d**2 + 83*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 372.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 4*o - 562*o**2 + 567*o**2.\nAnswer: 5*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.44 or 2156391?\nAnswer: -3.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*u + 119648, -75996 = -2*z - 5*u + 3773. List the prime factors of z.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420 + 3222. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 389993*u**2 - u. Let j(x) = x**2. Let k(p) = -g(p) - 6*j(p). Let z be k(-1). What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -a + 20, 5*a - 3 = 22. Suppose p*o - 5*v - 180 = 0, -38 = -2*o + o + 2*v. Let t = o + -29. Is t less than 18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*x - 3. Let o be (-889)\/(-35) - (-6)\/x. What is the highest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3\/6 - 71*g**2\/2 - 5041*g\/2 + 178. Suppose u(k) = 0. What is k?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Suppose 0*v - 7*v = -28. Suppose 4*k - 2 = 3*p, 0 = v*k + 3 - 11. Let n(l) = 22*l**2 - 17*l**2 + 21*l**p. Give n(m(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11369, 11148, 10927, 10706?\n\"Answer: -221*h + 11590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 420478026 a multiple of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3136509*w**2 + 83370*w - 8 wrt w?\nAnswer: -6273018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2496393320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3593632943?\nAnswer: 199, 4139, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 94*y**3 - 8*y + 8. What is m(1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1123 + (4 + -1 - 2). Let p = 690 + l. Is (-6)\/30 - p\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Let m = 113 - 137. Let f = m + 24.2. Which is the third smallest value? (a) 4 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53394166 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y**2 + 0*y**2 + 3*y**2)*(1 - 2 + 2) + 2126*y**2 - 2302*y**2 + 1747*y**2 to p*y**2 + x + v*y and give p.\nAnswer: 1569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 2, -104, 5, -3, -5 in descending order.\nAnswer: 9, 5, 3, 2, -3, -5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 34963816*v - 76404276830116.\nAnswer: -4*(v + 4370477)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let s be 4*7\/(-102)*(-27)\/(-6). Let g = -466\/391 - s. Which is bigger: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 19*v = -22. Let q(k) = 2*k**2 - k - 2. Let s(h) = h**2 + h + 1. Determine v*s(j) + q(j).\nAnswer: 4*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 81*i - 6480. What is y(80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + 0 + (-230 - -128).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 386 - 272. Suppose -448 = 4*n - o, -2*n = -4*o + s + 124. Is (-8 + 10)\/((-2)\/n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:14 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194\/3 + -64. Let d = 0 - -2.13. Let w = 2.13 - d. Sort p, w, 4.\nAnswer: w, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2)\/12 + (-99)\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Suppose -2*y + a = -4. Solve 6*t + 8 = t + y*i, i + 19 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 665544, 665542, 665540, 665538, 665536?\n\"Answer: -2*b + 665546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 2*v - 7*v. Let r(n) = -5*n**2 - 7*n - 42. Let w(f) = 2*f**2 + 2*f + 12. Let k(q) = 2*r(q) + 7*w(q). Determine k(a(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhbbhb. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -164. Let v be (-3)\/(-2) + (-1)\/(-2). Let n be 2\/(-8)*v*-1. Which is the closest to -2\/3? (a) n (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 11*x**2 - 15*x**2. Let m(w) = 8*w**2. Calculate j(m(g)).\nAnswer: -512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a second in milliseconds?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 7*w**2 + 11*w + 6. Determine q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 8*k + 11 - 59 = 0, -2*v = 3*k + 21 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**0\/y)*y)**18\/(y**(-3\/5)*y\/y**(-5)) assuming y is positive.\nAnswer: y**(243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 570820 - 25?\nAnswer: 570795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.00217 and 803.\nAnswer: 803.00217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/294)\/(17\/119)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32471995 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: Suppose 4*q - 16 = 4. Let b(d) = -d**2 - d + 2. Let l be b(0). Let j(o) = -3*o + q*o**2 - l*o**2 - 2 - 2*o**2. Determine j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24413.9 and -0.97?\nAnswer: 23681.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 2. Let k = 6 - o. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196761052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6319\/5160 - 5\/43. What is the common denominator of v and -49\/160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71828 by -5.\nAnswer: -71828\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - b18e2?\nAnswer: -b18d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 958374*r**3 + 40878*r**2 + 6*r?\nAnswer: 5750244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -219552*b**3*r**2 + 58*b*r**3 + r**3 - 3247828*r**2 wrt b.\nAnswer: -658656*b**2*r**2 + 58*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 9 = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/35)\/((-4)\/70). Suppose 3*d = z - b, 0*z = -3*z + 3*d + 66. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 60. Let p(z) = -525*z**2 + 2. Calculate w(p(k)).\nAnswer: -525*k**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42808957 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245310 and 510.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -3, -2, -5, -17 in descending order.\nAnswer: -2, -3, -5, -17, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11413916 minus 5952?\nAnswer: -11419868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 693 - 688. Suppose 5*v = 2*c + 10, -3*v - 21 + 58 = 5*c. Solve -v*j = 3*j - z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {o: 1, k: 3, g: 2, h: 1, u: 2, c: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -358?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 258*p**2 - 78*p + 985. Is 70 a factor of a(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-42)\/(-9))*(-88)\/(-1749)*1?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s - 4*o + 33, -s + 30 = 5*o. Suppose -n - 4*x = -62, 5*n - s*x + x = 238. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = 10. Suppose 5*y - y - 108 = -2*f, u*y = 5*f - 246. List the prime factors of ((-168)\/(-30))\/(4\/f).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - 12?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47811147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:05 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y + n, 0 = -4*y + y + 5*n + 46. Let a(i) = i**3 - 3*i**2 + 3*i - 1. What is the lowest common multiple of a(2) and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.026 and 1803011649929.\nAnswer: 1803011649928.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071 times -2.831253?\nAnswer: -0.201018963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - 10. Find the second derivative of 0*u**3 + 0*u - m*u**4 + 7*u + 0*u**3 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 1. Let k be l(1). Suppose 14 = 4*o + x, -3*o - 4*x + k = -6*x. What is the second derivative of -21*h**3 + 4*h + 21*h**3 + 5*h - 2*h**o wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108626352 is divided by 27156587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)\/((r\/(r\/r**(-1\/6)))\/r))\/(r**(1\/2)*r*r*r*(r\/(r**(-1\/7)\/r)*r)\/r) assuming r is positive.\nAnswer: r**(-325\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 3*v**2 + v + 3. Let u be a(3). What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 3*v - 2*v. Suppose k - 6 = -3*i, -3*k + i = 3*i - 4. Suppose 7*x - 16 + 2 = k. What is b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 3 = 34*r, 4*n - 5*r = -31 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 533*g**2 + 1325*g - 1323. Determine l(264).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19718.9 and -0.099?\nAnswer: 19718.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*h**4 + 1\/6*h**5 - 1\/6*h**3 - 1\/3*h**2 + 0*h + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1728*p + 7564 wrt p.\nAnswer: -1728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-5))\/((-6)\/180). Find the common denominator of (1836\/i)\/(327\/6) and 49\/2.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -17. Suppose 4*d = -h, -2*j = -d - 2*d + 194. What is j rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104392, 208863, 313334?\nAnswer: 417805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 546.29 - 547. Which is smaller: -8 or t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -231*f**2 - f + 2. Let b be y(0). Factor 30\/7*o - b + 2\/7*o**3 - 18\/7*o**2.\nAnswer: 2*(o - 7)*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/6*t**3 + 0 - 118*t + 23*t**2 - 43\/4*t**4. What is the second derivative of y(q) wrt q?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60926363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -817837.\nAnswer: 6\/817837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*y + 317*y + 295*y - 884*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/22 (b) -12 (c) 7\/146 (d) -1\/6 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285*g**3 + 4*g**2 + 6620*g wrt g.\nAnswer: -1710*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 839039.1 microseconds in milliseconds?\nAnswer: 839.0391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - -0.09. Let o = -0.04000001 + b. Round o to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8256*w**2 + 95632*w?\nAnswer: 16512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t - 5*t)*(-t**2 + 1 - 2 + 0*t**2).\nAnswer: 11*t**3 + 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308307 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 4*o = -2, -4*o - 4 = 0. Let -25*j**2 - 2*j**s + 7*j - j = 0. What is j?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:53 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -55. Suppose -j*x - 5*a = 14, x - 4*x + 4 = -5*a. Let b be x\/8 + 27\/12 - -448. What is the highest common factor of b and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3277 + -3266. Calculate the remainder when 20 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 52*h + 116. What are the prime factors of d(18)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(2835) - (2*sqrt(2835) + sqrt(2835))) + sqrt(35))\/sqrt(7).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -35. Let a = 22.5 - i. Let o = -2203\/15 + 147. What is the smallest value in o, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -9) + 8 + -20 - (-4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10)*-9)\/((-5)\/(-20)*-5)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 20 = -t. Suppose -4*w + 272 = 3*s - 708, 734 = 3*w + 2*s. Let h = w - t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -9*v - 160. Let y be 2250\/v - (-2)\/(-8). What is the highest common divisor of y and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(160\/8)*4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11)*l\/(l**(-4)\/l))\/(l**2\/(l**(1\/2)\/l*l)) assuming l is positive.\nAnswer: l**(87\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2657194677 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 22084524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/302 + 2141\/2718. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135, 270, 961, 1938?\n\"Answer: 143*j**2 - 24*j - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.8818027 and 0.31.\nAnswer: 21.1918027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*(sqrt(190) - (4*(sqrt(190)*-2 - sqrt(190)) + sqrt(190))))\/(-6*((sqrt(10) + 1*sqrt(10))*1 + sqrt(10))))**2.\nAnswer: 7600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5 + 10, 5*v = -m - 37416377. Let h = 3883276 + v. Round h to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4916695324.\nAnswer: 2, 17, 1699, 42557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -51. Let m = -479\/119 - -29\/7. What is the smallest value in 4, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -1. Let r = 7.7 + -8. Let t = 1.1 - 1. What is the nearest to t in -4, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 586*x**2. Let h be -1 - -2 - (-66)\/6. Let m(a) = -h*a + 17*a + 2*a**2 - 5*a. What is f(m(l))?\nAnswer: 2344*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - k - 21, 0*w + w - 3*k = -7. Let z be (3\/(-2))\/((-12)\/32*30). What is the closest to 0 in w, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1570.9 + 1457. Let h = -114 - m. Sort h, -0.4, -5.\nAnswer: -5, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1)*(-2)\/4. Let k be 2*c*(-2)\/4. Which is bigger: 2\/39 or k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 271*d**2 - 11*d + 17. Let o be (-8)\/(-3) - (-58)\/(-87). List the prime factors of a(o).\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.833 + -1.233. Which is the smallest value? (a) 0 (b) g (c) -187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -634259*g**2*z**2 + 93359*g**2 wrt z?\nAnswer: -1268518*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from pbcpcb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -20572 and -20570 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34122 + -301?\nAnswer: 33321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let s(k) = k**2 - k. Let j = -7 - -16. Suppose 0 = 3*w - 2*w - 2*d + 1, -2*w - 3*d = j. Let i(l) = w*s(l) - b(l). Factor i(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (9 - 5 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 3*a + 10, d = -2*a - 26. Let w be ((-36)\/d)\/(2\/(-10)). What is the units digit of (6 - 3)*(-4)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149721110 divided by 74860555\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54105 - 53664 + 107769 - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*l + 56. Suppose -j = -4*w + 5*w, 2*w - 3 = -l*j. Is -0.0176 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*(-56)\/70*-6\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 - 554 = 12*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -355?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*z - 15810, -z - 1248*r + 1246*r + 5262 = 0. What are the prime factors of z?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m - 2*a - 8, -5*m = 5*a + 15. Find the common denominator of 27\/10 and (22\/25)\/(m + (-114)\/55).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 19\/6 (b) 23 (c) -1197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248320007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0299*-0.01\nAnswer: -0.000299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -40. Solve x = 3*t - 0 - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**17*r\/(r*r\/(r**(-14\/3)\/r)) assuming r is positive.\nAnswer: r**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6724*b = 6722*b - 5*x - 36, 3*b = -2*x - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/15 and 101\/11196?\nAnswer: 55980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqovomoqvooocqo. Give prob of sequence vv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from oyyhoyhhyyoo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 6, v: 4}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r - 1. Let u(k) = -4*k**3 + 2*k**2 - 7*k + 12. Give -6*h(l) - u(l).\nAnswer: -2*l**3 - 2*l**2 + l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -22. Let x(y) = -12*y - 9 - y**2 + 6 + 2*y. Let i be x(-8). Calculate the highest common factor of i and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -41 (b) 83 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/10))**21*(c\/(c\/(c*(c*c*c**(1\/7)*c)\/c*c)))\/(c\/(c*c**(-19))) assuming c is positive.\nAnswer: c**(-599\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-14)\/l)\/l*l*l**(-1\/8))**7 assuming l is positive.\nAnswer: l**(-847\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-10))\/((-48070)\/3450)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*q = 458*q + 252 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/60 + s**4\/6 + 5*s**3\/6 + 11*s**2. What is t(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.5 - 31. Let u(m) = m**2 + 13*m - 34. Let h be u(-15). What is the nearest to -1 in -1\/3, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 272 + 4907*o - 2*o**3 - 4907*o + 6*o**2 as h*o**2 + l*o + s + u*o**3 and give s.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166461 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - -13. Calculate the remainder when 96 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/(36\/(-270)). Solve 5*p + v - 29 = 0, 7*p = 2*p - b*v + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3228, -3195, -3140, -3063, -2964?\n\"Answer: 11*t**2 - 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 4*n**2 + 3*n**2 - n**2 + 3*n**2. Let d(k) = 65*k. Calculate d(i(q)).\nAnswer: 195*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5 - -3 - -3) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*l**3 - 61*l**3 - 64*l**3 - 529*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -49. Let v be (-2)\/(-10) + (-5)\/j. Suppose v = -6*t + t - 5. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/9000 and 57\/86000?\nAnswer: 774000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13876.\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -294? (a) 3 (b) -4 (c) 9 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*-20*(-3)\/(-36)*1\/(60\/18).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - w - w - 17*w**2 to i + l*w + m*w**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9840936 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1247 and 176.733.\nAnswer: -220386.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2 + 4. Let l(g) = -3*g**2. Calculate r(l(d)).\nAnswer: 108*d**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -844 - 14057?\nAnswer: -14901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u - 2*a, -3*u + 18 = a + 4*a. Let b be (6\/(-1))\/(-3) - u. Differentiate 1 + b + j**2 + 0*j**2 with respect to j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/(g\/(g\/(g**(-2\/21)*g))))\/g)\/g)\/g**(-1\/6)*(g**(-1\/5))**(-17)*(g**(-2))**(-11\/4)*g**2\/g**(-4\/7) assuming g is positive.\nAnswer: g**(176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 - 12*t - 43. What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 17. Let a(k) = k. Let w(o) = -4*a(o) + t(o). Let s be w(5). Factor -11*u + 30*u**2 - 8*u**3 - 13*u + 36*u**2 - s*u**3.\nAnswer: -3*u*(u - 4)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(48)*6) - (0 + sqrt(833) + (sqrt(17) - (sqrt(68) + -2))))**2.\nAnswer: 71*sqrt(17)\/3 + 86273\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 821, 3979, 10937, 23159, 42109, 69251?\nAnswer: 106049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03486659 to five dps.\nAnswer: -0.03487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1025 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + 12. What is the least common multiple of 0 - (-2 - (2 - 2)) and (-1)\/c - 9\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3338, -4, -8, 5, 538 in ascending order.\nAnswer: -3338, -8, -4, 5, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(-1) - (-1583396 - 475) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p + 5. Let b(v) = 15*v - 6. Let z(c) = 4*a(c) + 3*b(c). Let g be 1\/(5 + -3) - (-3)\/(-2). What is the remainder when 46 is divided by z(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 5. Let y = 1 - -1. Suppose y*w + 0*f - 2 = -3*f, -4*w - f + 14 = 0. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 34*j - 364. Determine g(43).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-9)*(-11280)\/(-4888)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16642 = 50*x - 43758. Let n = x + 3233. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 80*m. Let r(b) = b**2 - 53*b. Determine 5*j(p) - 8*r(p).\nAnswer: 2*p**2 + 24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(72)\/sqrt(2) + sqrt(36))\/sqrt(12) - sqrt(12)\/sqrt(144))**2.\nAnswer: 289\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45))\/(2\/(-8))*(-25)\/(-10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -176. Let b(m) = m**2 - 18*m + 6. Let d be b(t). Solve -4*a = -d + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -3*d. Let t be 75\/5*(-8)\/(-40). Let r be (0\/d)\/2 - (t - 0). What is the closest to 1\/2 in 0.3, -1\/7, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n - 2. Let s = -157 - -171. What is the remainder when q(-7) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuuc when four letters picked without replacement from ycuicxccuccuu?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 8)\/(-3) + 6. Let m be r\/((-24)\/(-12244)) + 1\/(-3). Suppose -5*l = 3*a - 1008, 3*a - 3*l = -4*l + m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 2) + (18 - 11 - 48) + 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 45*m**4\/2 + 93*m**3\/2 - 42*m**2 - 114*m - 48 = 0.\nAnswer: -2, -1, -2\/3, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 45*t - 328. Determine d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-37)\/(-185)*(-10)\/6. Let r(k) = -2*k - 3. Let z be r(-5). Suppose 0 = -b - 4*v + 21, -b + z*v - 2*v = 24. Put d, b, 2 in decreasing order.\nAnswer: 2, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(275) + sqrt(275) + sqrt(275))*1)\/sqrt(11))\/(3*(sqrt(405) - 3*sqrt(405) - sqrt(405)) - sqrt(405) - sqrt(405)).\nAnswer: -2*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + y)*(-14 + 19 - 6 + 5*y) + (-2*y**2 + 1 - 1)*(3 + 0 - 4) + 0 - y**2 + 0.\nAnswer: -9*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(28))*2 - sqrt(7))))\/((sqrt(96)*-5 + sqrt(24))\/sqrt(8)).\nAnswer: sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, -5338, -5, -2 in ascending order.\nAnswer: -5338, -22, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 72 - (3*10\/15 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Suppose 0 = -0*v + y*v. Let g be 0\/(((-1)\/(-56)*7)\/((-2)\/16)). Is v equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*w - 0*w - 4*q, 0 = -4*w + 5*q + 36. Suppose w*z - 11 = 8*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -904058*k**2*n + 1037385*k*n wrt k?\nAnswer: -1808116*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/(259\/1110)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 5*m - 5*m + 0 + 3.\nAnswer: 21*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + t)*(-4*t + 2*t + 10*t) + (2 - 2 + t)*(t + 0 + 0).\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28572 and 394524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 476*l**6 + 2*l**2 + 131 wrt l?\nAnswer: 57120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -14\/31 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56149455 by -3.\nAnswer: 18716485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/1136, 1, -0.2, -4, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 26*n**2 - 141*n - 629. Give m(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -3. Let a = x - -6. Let z = -104 + 105. Sort z, a, 4\/7.\nAnswer: 4\/7, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(1900) + -4)**2 + ((sqrt(171) + 1)**2 - (2 + sqrt(304) + sqrt(19))).\nAnswer: -79*sqrt(19) + 2087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96675 is divided by 6038?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 6:06 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)*d*d\/d**(1\/12))**17 assuming d is positive.\nAnswer: d**(-1853\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 < 56\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2 + 36\/16). Suppose -29 = -9*i + v*i. Let u = i - 29. Solve 1 + u = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 6 - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5547*a**2 - 2093*a**2 + 1727*a**2 in the form o + z*a**2 + f*a and give z.\nAnswer: 5181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Let y be -3*(8\/6)\/(-2). Solve s + z = y*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 37*x**2 + 11*x - 65. What is the units digit of z(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/765*-10*17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2242521447 to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1780 divided by 2.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -147.\nAnswer: -47\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 21820*p**2 + 14736050*p + 2570910000.\nAnswer: 2*(p + 355)**2*(p + 10200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 7*h + 3. Let m(s) = -s**2 + s + 1. Let l(t) = -5*m(t) + w(t). What is the units digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 5*b + 2. What is f(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**(-12) assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3260, -3275, -3302, -3347, -3416?\n\"Answer: -m**3 - 8*m - 3251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101110 - 22302233?\nAnswer: -22201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 882?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0)\/((-1)\/(-2)). Suppose -a*p = -i + 17, -5*i - 5*p = -0*i + 15. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3941 divided by 7.\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 30*j**2 - 209*j + 1188. Give s(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8960, 8971, 8984, 8999, 9016?\n\"Answer: j**2 + 8*j + 8951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -50, 2, -0.1, 5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*m - 100, -4*s + 5*m + 24 = -2*s. Suppose -4*k = k - 5*c - 10, -s = -3*k - c. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 52*x**2 - 23*x - 43. Give u(-52).\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 3*u**5 + u**3 + (2*u**2 + 0*u**2 + 0*u**2)*(-228*u**3 + 17*u**3 - 41*u**3).\nAnswer: -501*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129 + 493*y**3 + 299*y**3 + y**2 - 127)*(-2*y + 4*y + 0*y).\nAnswer: 1584*y**4 + 2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0 + 0*z + 1\/33*z**3 - 1\/66*z**4 + 1\/330*z**5 + 14*z**2. Factor k(a).\nAnswer: 2*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018420913 to 7 dps.\nAnswer: 0.0001842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/22 and 55\/148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 8*d**2 - 6*d - 3. Let l(c) = -c**3 + 8*c**2 + 6*c + 2. Let b(i) = 2*l(i) + 3*w(i). What is the tens digit of b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t + 2*t)*(7 + 4 - 4) in the form v*t + k and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19715, -19737, -19769, -19817, -19887, -19985, -20117, -20289?\n\"Answer: -v**3 + v**2 - 18*v - 19697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11892)\/(-91172))\/((-58)\/(-46)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3112 + 3144 = -16*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2744*t + 46643. What is i(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1. Suppose 4*u = -u. Let y(c) = 1 - 3*c + u*c + 4*c. Let z(o) = 3*o**2 - 2*o + 2. Let b be z(1). Determine b*y(w) - i(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -360, -2447, -6120, -11379, -18224, -26655?\n\"Answer: -793*j**2 + 292*j + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 67. Suppose -b - 5 = -18. Let a = g + b. Solve 0 = -a*n + 3*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001100 + 11?\nAnswer: -110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1410 - 1406. Sort -9, 1, x.\nAnswer: -9, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 260 and -2995.\nAnswer: -2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 1 - 11. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*o - 5*j, -7 = 4*j - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -10 (c) -0.02 (d) 0.211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = 4*b, -b - 2 - 8 = -q. What is the third derivative of -169*a**2 - q*a**2 - 2*a**3 + 70*a**5 + 0*a**3 + 0*a + 0*a wrt a?\nAnswer: 4200*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + -2. Let j be 2\/(-9) - 172\/(-108). Let r = -1\/27 + j. What is the nearest to 0 in r, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1676 + 527. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 18}. Give prob of sequence xx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82*3\/14*15456\/3680*(-40)\/24?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 0.3 (c) 0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5913870 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/315 - g**6\/720 + 5*g**4\/12 + 6*g. Let d(r) be the third derivative of u(r). Calculate d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12290*j - 12242. What is r(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + 143\/(-11))*(-2302)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 7*k**2 - 16*k - 51. Calculate a(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 199*h - 202*h = 6, -4*h = -b + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2187 by -2730.\nAnswer: 729\/910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**2 + 3*x**2 - 13*x**4 - 227*x**4 - 8 + 29 + 7 wrt x?\nAnswer: -5760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508449610 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73669 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 7) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56, 168, 280?\n\"Answer: 112*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1028907 and 29\/8.\nAnswer: 8231256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 2) + 15 + -16. Suppose -3*z - 112 = -w*i, 5*i - 5*z = i + 120. Solve 15 = 5*o - 3*q, 0*o - 2*o + 5*q = -i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, a: 2, n: 3}. What is prob of sequence yna?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -32, -4, -112 in ascending order.\nAnswer: -112, -32, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) - ((-9)\/3 - -3). Solve -y - 2 = -z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -17, -24, -35, -50?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1571, 4, -2, -17, -5 in decreasing order.\nAnswer: 1571, 4, -2, -5, -17, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 1. Suppose 0 = -5*g - r, -2*g = g - 3*r + 18. Let s be w(g). What is the units digit of 0 + 10 - s\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6*i + i + 12, 3*i = 5*r - 6. Suppose -4*o - 2*z = 26, 0 = -o + 3*o + r*z + 19. Which is the biggest value? (a) o (b) 1 (c) 0 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-7)\/(693\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f**2 + 3*f**3 - 11*f**2)*(13 - 3 + 0)*(0 + 0 - 2*f) to s*f**3 + z + h*f**4 + a*f**2 + o*f and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4393973 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13809577\/903 - -15293. Which is bigger: -2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/2943 and 43\/90906.\nAnswer: 818154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p + 3. Suppose 0*v - 5*v = 20. Let a be y(v). Calculate the common denominator of 34\/11 and ((-3)\/a)\/((-5)\/85).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165442*c**4\/3 - 39871526*c**3\/3 - 13455628*c**2 + 80074904*c\/3 - 1936\/3 = 0. What is c?\nAnswer: -2, 2\/82721, 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887.414015 rounded to 1 dp?\nAnswer: 1887.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2691 - -16471. Round z to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59168*h**3 - 3005012*h**2 - 9060320*h - 7046976.\nAnswer: -4*(8*h + 381)*(43*h + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 - b. Calculate the least common multiple of y(3) and -3*(-7 - (45\/60 + 54\/(-8))).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -22 + 5 + -6 - -32\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159113891?\nAnswer: 1607, 99013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127201 is divided by 7949?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/22)\/(5\/(-66 - -11)). Put -16, -10, w in descending order.\nAnswer: w, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*t - 84*t + 130*t + 1 - 8*t in the form f*t + n and give f.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/189)\/(420\/(-45) - -10)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -8. Suppose u + 4*r = -0*r - t, 4*r = -4*u. Determine q so that -q**3 + 2*q**2 + q**2 - u*q**2 + 2*q**2 - 2*q = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 774*y - 8856.\nAnswer: -3*(y + 12)*(y + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, m: 2, o: 3, j: 6, a: 2}. What is prob of sequence aoo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 7*w - 4. What are the prime factors of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 5*b. Suppose 0 = 3*t - b*t. What is the second biggest value in 2\/21, t, -0.7, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a factor of 1037246043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) - (-7 - (-10 - -2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/3 - 2)*0\/(-1). Suppose 5*t - 119 - 11 = j. Let x = t - 12. Calculate the smallest common multiple of 22 and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 3*w - 2. Let n be d(-3). Is -3\/5 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 1 + 1)*(0*r**2 + 5*r**2 - 3*r**2) + (-r - 2*r + 2*r)*(2*r + r**2 - 2*r) + 5*r**3 - 2*r**3 + 3*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12216*b - 3125*b + 8695*b.\nAnswer: 17786*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4130259347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -14. Let s(z) = -7*z + 1. Is 8 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1790238438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + -25933308\nAnswer: -25933307.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:16 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 392708110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(60)\/sqrt(48)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 17*f**2 - 19*f + 23. Let k be p(18). Suppose k*o - 2 = c + 237, 4*o - c - 191 = 0. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = 5*x + s, -5*s + 7*s + 540 = -4*x. Let r = x - -141. Solve -4*b + l = 5*l, 8 = -2*b - r*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1143.8*9\nAnswer: 10294.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(52) + sqrt(312)\/(4*sqrt(6)))\/sqrt(4)*2.\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.68017 nanograms in micrograms?\nAnswer: 0.00668017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.03. Let k = m - 2.93. What is the smallest value in 3, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q. Suppose h - 58 = -q*h. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/139632?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*s + 8, 4*o - 3*o + 6 = 5*s. Let r = 1.1 - 6.1. Which is the closest to s? (a) r (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -741, -1481, -2223, -2967, -3713, -4461?\nAnswer: -5211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/17977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 294, 318, 342, 366?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -0.07 (c) -0.1 (d) 193032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/116379 and 113\/2702.\nAnswer: 1629306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 744 - 744. Suppose 0*a - 5*o = -4*a + 5575, t = 4*a + o - 5605. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.12, 5\/12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 7*j**2 + 5*j + 3. Suppose y - 2*y = -24. Suppose -y = -4*u - 0*u. Give b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5209265 litres in millilitres?\nAnswer: 520.9265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/15))**(-40)*(n**(-16\/3))**(-9\/4) assuming n is positive.\nAnswer: n**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 5 - 2*r - 2*r - 2. Suppose a + 4*o = -3*a + 32, -a + 18 = 3*o. Give d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhpphppphpphh. What is prob of picking 1 h and 3 p?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15032?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 7*t**2 - 3*t + 10. Let w be n(-7). Let z = 61 - w. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639557?\nAnswer: 17, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 11 (c) 569 (d) 3\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4633, -4720, -4839, -4996, -5197, -5448, -5755?\nAnswer: -6124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + 75. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2831509995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 137?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f**2 - 145*f - 12. Let s be 2\/(-12) + 5822\/(-492). Let j be n(s). Suppose -1\/4*p**3 + 1\/4*p**4 + 1\/4*p - 1\/4*p**2 + j = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*d**2 + 0*d + 0 - 2\/11*d**3.\nAnswer: -2*d**2*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3730*k**4\/11 + 14724*k**3\/11 - 5568*k**2 - 241856*k\/11 = 0.\nAnswer: -4, 0, 7558\/1865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -u - 4955, 19823 = 4*t + 37*u - 38*u. List the prime factors of t.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**4*b**2 + 232*a**4*b - b**2 + 90*b wrt a.\nAnswer: -8*a**3*b**2 + 928*a**3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 52, 4, 202, 11.\nAnswer: 4, 11, 41, 52, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 63*k**2 - k - 35. Let j(s) = -5*s + 23. Calculate y(j(q)).\nAnswer: 1575*q**2 - 14485*q + 33269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 11*r + 26*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2244 + 1135 + 1846 - 963)*((-2 + 3 + 0)*(-y + 4*y + 0*y) - 4 + 4 + 3*y).\nAnswer: 25572*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 10:28 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**6\/120 + y**5\/15 - y**4\/8 + 7*y**3\/6 + 43*y**2\/2 - 28*y. Let n(t) be the first derivative of z(t). What is n(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:28 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1128753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-9)))\/y)\/y**(-11) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x - 2*v, -6*x + 2*x - v + 9 = 0. Is x less than or equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 - b**2 - 4*b + 3. What is the remainder when (-4)\/(-24) + (-82)\/(-12) is divided by x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -232*q**2 + q + 3. What is k(-1)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llljjll. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 38 = -f, -28*f + 33*f - 7 = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 730 = 2*h. Let j = h + -62. Let t = -58 + j. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*o = -4*m + 532, 422 = 3*m - 2*o. Let w be (-4)\/m*(2 - -1). Let q = 0.06 - -1.94. Put q, w, -1\/3 in increasing order.\nAnswer: -1\/3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -352, 11376, 30924, 58292, 93480?\n\"Answer: 3910*u**2 - 2*u - 4260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h**2 - 287*h**2 - 151*h**2 - 324*h**2.\nAnswer: -821*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.61 - 261955937104.\nAnswer: -261955937104.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-4)\/40*-5. Let n(t) = 67*t + 3. Let a(z) = 269*z + 12. Let j(p) = -2*a(p) + 9*n(p). Let h be j(y). What is h rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 66*i + 2. Let k(o) = 58*o + 2. What is 6*k(x) - 4*q(x)?\nAnswer: 84*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -4\/7, 1, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 74*w + w**3 + w**2 - 19 + 54*w + 44 + 0*w**2 in the form k*w + i + f*w**3 + h*w**2 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4 + 356*b**3\/3 - 4048*b**2 + 7744*b + 76. Suppose v(o) = 0. Calculate o.\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284 - -304. What is the least common multiple of 1*11*(-6)\/(-3) and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let u be ((-6)\/15)\/(c\/(-30)). Solve u*q - 8 - 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 8*r - 12. Let w be 8 - (6 - 1 - 3). Let v be y(w). Let h be v\/(-4) + 1\/1. Solve 0*c = c - h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -47*l**3 + 3*l**2 + 7*l + 4. Is 43 a factor of m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 3*h + 11 = 11*n, -2*n + 3*h - 10 = 0. Let d be -12*(1 - (7 + -1)) + 3. Sort -3, n, d in decreasing order.\nAnswer: d, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143794, 575114, 1293974, 2300368, 3594290, 5175734, 7044694?\n\"Answer: -a**3 + 143776*a**2 - a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8415, 16689, 24959, 33225, 41487, 49745?\nAnswer: 57999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 44113?\nAnswer: 44116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13674?\nAnswer: 2, 3, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.96 - -3.94028. Round u to four dps.\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9488869319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 1. Suppose -10 - 4 = -7*s. Let w = -0.1 + 3.1. What is the nearest to -1 in w, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2. Suppose x + x - 3*v - 9 = 0, -4*x + 21 = -5*v. Let f(b) = -13 - b - 17 - x + 41. Let z(w) = 2. Let t(y) = f(y) - z(y). Calculate h(t(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43365 and 840.\nAnswer: 346920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1140 = -l + 4*l, 2*l - 2*x = 764. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from cpuucqupuuquq?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -110*q**2. Let u(i) = -3*i + 1. Let b(s) = 16*s - 5. Let n(c) = -2*b(c) - 10*u(c). Calculate m(n(p)).\nAnswer: -440*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-100)\/(-133) - 5754\/6713. What is the nearest to -0.1 in -4, d, 18\/101, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*v - 1. Suppose v*r - 18 + 6 = -2*a, -4 = 4*a - 3*r. Suppose 2*b = -4*o + 14, 0*o - 2*b + 8 = a*o. Solve 0*c = o*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) 3 (c) -2332 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -37*y + 65. Suppose d = -0*j - 2*j - 27, 3*j + 93 = -4*d. What is the units digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8127 by -903.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584764121 to the nearest integer?\nAnswer: 39809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 - v**3 + 2 + 5*v - 1 + 1 - 4*v**2. Let o be h(-5). What is the derivative of -o + 5 + 60*q**2 - 68*q**2 wrt q?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*2\/182*((-36260)\/(-91140) + (-2)\/31)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/6 + 5*s**3\/6 - s**2 + s + 2. Let y(g) be the second derivative of f(g). Let r(w) = -w**2. Calculate r(y(v)).\nAnswer: -400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-three fifths of a second?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 7:20 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 24. Determine i(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20894\/434 + -39 + 21\/(-6)*2.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j**2 - 5*j**2 + 3*j**2)*(468*j**2 + 9502 - 9502).\nAnswer: 5148*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/66751 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.505 (b) 0.4 (c) -0.1 (d) 1\/4 (e) 698 (f) 6\/11 (g) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84*(-4)\/(-60))\/((117\/(-65))\/1)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 3*m = 3*t + 19*t + 423, 3*t + 3*m - 138 = 0 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31907988 to the nearest 100000.\nAnswer: -31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/20*(4 - (-40)\/(-12))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372 divided by 3.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1500 and -7\/288360.\nAnswer: 7209000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 1.58. Let h = p + -0.52. Put h, 2\/7, 2, 0.1 in increasing order.\nAnswer: h, 0.1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 1569*z**2 - 3126*z.\nAnswer: -3*z*(z + 2)*(z + 521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614589.\nAnswer: 3, 349, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.668nm in micrometers?\nAnswer: 0.123668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - c + 2*c**3)*(0*c + 63 - 71 - 8*c) to the form g*c**3 + a*c + h + k*c**2 + d*c**4 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 965050 * -0.4.\nAnswer: -386020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 2*l + 16, 5*l - 52 = -14544*j + 14556*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(1 + 0)*28\/392. Which is the second smallest value? (a) 2\/3 (b) -20 (c) 0.7 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 20. Let z = 94 - 11. Calculate the remainder when z is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 7*t**2 + 2. What is the remainder when 40 is divided by u(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83\/3 - -28. Let f be ((-6)\/8)\/((-105)\/56). Which is the nearest to w? (a) 3\/2 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997714019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 18 = -2*k. Let w(g) = g**2 + g - 1. Let c(m) = 2*m**2 + 3*m - 3. Let t(r) = k*w(r) + c(r). Let s(n) = 3*n. What is s(t(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 245215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -2*d - 104. Suppose 0 = 4*a - 0*a - d. Suppose 3*g = -n + a, -2*g + 3*n = -7 - 6. What is the highest common divisor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1002, 0.1, 1\/7, -3, 3 in decreasing order.\nAnswer: 1002, 3, 1\/7, 0.1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 8*v - 3. Let k be r(7). Let b = 2875\/13 + -221. What is the smallest value in b, k, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 4, -12, -5, -1 in descending order.\nAnswer: 4, -1, -3, -5, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*i - 545543 = 15901. List the prime factors of i.\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 874 + 817 = 4*b, 5*j - 12 = -b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1923 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from {p: 2, g: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let z(n) be the first derivative of n**4\/4 - 2*n**3\/3 - n**2\/2 - 4*n - 3. Let y be z(3). Put 0, y, k in decreasing order.\nAnswer: y, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6. Let p(z) = z - 23 - 23 + 55 - 21. Let l = -11 + 6. Let r(o) = l*v(o) + 3*p(o). Calculate r(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + (sqrt(637) + 2)*4)*3 + (-1 + sqrt(637) + 1 - (sqrt(637) - (sqrt(637) - sqrt(637)*2*-2))))**2.\nAnswer: 6720*sqrt(13) + 255376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135000672 is divided by 815?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/2)*w)\/(w\/(w**(-2\/19)*w))*(w*w**(-2))\/w**(-1\/5) assuming w is positive.\nAnswer: w**(303\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75735\/(-918)*36\/(-10)*(-16)\/48?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221111002011 + -11?\nAnswer: 11221111002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 25*n. Let w(t) = 183*t + 675. Let i(r) = 14*r + 50. Let f(z) = -27*i(z) + 2*w(z). Determine f(l(g)).\nAnswer: -300*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 14*x + 5. Let a be s(-7). Suppose 4*v - 6 = 18. Let d(u) = v - u - 5 + 1. Let n(w) = 3*w - 4. Determine a*d(l) + 2*n(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f**2 - f - 1. Let a(x) = 11*x**3 + 5*x**2 - 5*x - 13. Suppose -2912 = -199*n - 216*n - 837. Calculate n*i(d) - a(d).\nAnswer: -6*d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x + 36 = 5*t + 43*x, 0 = 5*t + 2*x - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 159850 to the nearest one thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -18646657?\nAnswer: -1\/18646657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149241 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Suppose q = n*f, f + q + 2*q = 0. Solve 2*r + 0*r = f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/11)\/n**(-5\/8) assuming n is positive.\nAnswer: n**(71\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001598 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 8) to base 3.\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 - 3*d - 6. Let c be b(-6). Let m be (-1 + 0)\/((-3)\/c). Factor 1 + k**3 - 2*k**3 - k**m + k**5 - 1 + k**2.\nAnswer: k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554647703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 64*m - 181. Let u(s) = -5612*s - 2. What is u(p(k))?\nAnswer: -359168*k + 1015770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32774.99 kilograms in grams?\nAnswer: 32774990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(18))**2 + -1)*6.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/3 - 23*d**4\/3 - 55*d**3\/3 + 103*d**2\/3 + 56*d\/3 - 80\/3 = 0.\nAnswer: -20, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -110. Solve -v = y + 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - 2*u)*(-7 - 110 - 55) + (-2 + 0 + 1)*(2*u - 3 + 3).\nAnswer: -174*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 180 = -8. Solve f*y = -8 - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from bubbqjjtbtubqqj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 - 0.05. Let q be ((-6)\/(-3) + 0)\/(-4). Sort -4, q, c in increasing order.\nAnswer: -4, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20141*o**3*q**3 - 2*o**3*q**2 + 38*o**3 - o**2*q**3 + 2*o**2*q**2 - 3*o*q**3 - 421*o*q**2 - 6*q**3 wrt o.\nAnswer: 120846*q**3 - 12*q**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -140657210, -140657207, -140657202, -140657195?\n\"Answer: n**2 - 140657211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y + 51 = 297 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -106. What is the second derivative of 24*b**2 - 8*b - 51*b**2 - 72*b**t + 4 wrt b?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*m + 42, -1362*m - 22 = -1356*m - 2*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 12*h - 20. Let v be s(-7). Let f be (-443)\/(-9) + v\/27. Let y be 0 + f - (2 + 6 + -7). Calculate the greatest common factor of 72 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.18 - 49.18. Let p = -50 - j. Let l be (-7)\/30 - (23\/5 - 5). Which is the nearest to l? (a) -4 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11*s**3 - 8*s**2 + 14*s + 17. Let x(h) = 5*h**3 - 4*h**2 + 7*h + 8. Let z(m) = 6*d(m) - 13*x(m). Calculate z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 30 + 9*k**2 - 79 + 32.\nAnswer: 9*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2238076, -2237937, -2237812, -2237707, -2237628, -2237581, -2237572, -2237607?\n\"Answer: -r**3 - r**2 + 149*r - 2238223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -203, -236, -255, -254, -227?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/906818 and 23\/3299274.\nAnswer: 155065878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvltxttv. Give prob of sequence tt.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 107 = -5*s. Let p = 360 - 275. What is the remainder when p is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + 173434*j**4 + 1734411*j**3 + 5029856*j**2 + 3468880*j = 0. Calculate j.\nAnswer: -5, -4, -1, 0, 173444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8064 is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 156.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 80*a - 739. What is the smallest common multiple of 21 and l(68)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/(-24))\/3)\/(35530\/(-7752))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9936274 and 6034?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.756 + -0.244. Let s be 2\/(-13) + (-848)\/234 - -4. Which is the nearest to s? (a) 0 (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 288, 411, 516, 597, 648?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2.9999925. What is u rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -72, -109, -146, -183, -220?\n\"Answer: -37*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-15 - 6)) + (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251634747 divided by -13377.\nAnswer: 18811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 + 13*t - 4. Determine c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2 + 2)*(-8 + 8 - 17*o)*(-68*o - 18 - 74*o + 138*o).\nAnswer: 136*o**3 + 612*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 0.5\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 493706 less than or equal to 493706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.81698691 minus 7?\nAnswer: -14.81698691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {g: 4, b: 4, h: 2, a: 2, y: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 72?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2227144 kilograms in grams?\nAnswer: 222.7144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 9*x**2 + x + 12. Let b be d(-9). Suppose -5*i = -b*i - 4. Suppose -10 = -7*k + 2*k. Calculate the remainder when i is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3028794058.\nAnswer: 2, 1514397029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 6 = -j + 3*r, -j + 5*r = -42. Let u(v) = -5*v**3 - 2*v**2 + v**2 - 1 + 6*v**3 - v. Let d be u(3). What is the greatest common factor of d and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-5879233891.152\nAnswer: -5879233894.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*-2*5\/(-25).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 11309015.\nAnswer: 11309015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.222 times -0.066?\nAnswer: 0.014652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:02 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -1 (c) 10 (d) -3 (e) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/30 + 2\/12. Let l be 2*(0 - g) + 2. Let k = l - -17. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -563\/1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -9, 2, 1384.\nAnswer: -9, 2, 4, 17, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -159.3?\nAnswer: 159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buii when four letters picked without replacement from {k: 2, d: 5, i: 2, v: 2, b: 5, u: 2}?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3591483 divided by -5?\nAnswer: 3591483\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71.8 - -78. Let g = u + -6. Suppose -2 = 4*h + 2*l + 22, 2*h + 20 = -5*l. Sort g, 0.5, h.\nAnswer: h, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 2*q. Suppose 3*o = 11 - 5. Let s be x(o). Suppose -f - 2 = s*f + 2*y, y + 1 = 5*f. Solve 0 = -4*d - 16, -4*l + f*l + 4*d + 36 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6988 is divided by 2327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*g = -0*j + 646, 3*j - 959 = 5*g. Let n = -1634\/5 + j. Let x = 0 - 2. Which is the closest to n? (a) -2\/11 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*k + 28 = 0, -4*p + 2*k - 3*k = -11. Which is the second biggest value? (a) 6 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 11*i**7\/42 - i**4 - 15*i - 19. Let h(c) be the first derivative of r(c). What is the third derivative of h(d) wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 2, x: 3, o: 1}. Give prob of picking 2 x, 1 s, and 1 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from zozzzqozqozoqzzoo.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**14*p**(1\/3))**(-2\/107)*(((((p\/p**(-5))\/p)\/p*p)\/p)\/p*p*p**(-2\/7))\/(p**(-3\/10)*p\/(p\/(p**(-2)\/p)*p)) assuming p is positive.\nAnswer: p**(185401\/22470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1426 or 1427?\nAnswer: 1426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/356475 and -43\/75.\nAnswer: 356475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((1 + 2)\/3). Suppose 2*u - c*u = -28. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 335*g. Let h(l) = -1211154*l**2. Give h(y(q)).\nAnswer: -135921757650*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*m + 45 = 4*m + 3, 420 = -3*x - 10*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 21 = -24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 3 - 8*r**3 + 3*r**3 - 4*r**3. Let j be u(-2). Suppose t - 3*k - 4 = 0, 5*t - j = 2*k + 18. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-10) + -1)*-10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*s**2 - 14*a**2 - 59*a + 425*s**4 + 3*s**2 + 5 wrt s?\nAnswer: -2*a**2*s + 1700*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456 + -306. Suppose -3*i - 99 - 94 = 2*k, -k - 5*i = 79. Let u = k + p. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 274?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 10:25 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*z + 3*b - 14, 0 = 4*z - 3*b - 22. Let c be 6 + (-3 + 0 - -2). Solve -s - z*s = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40156428, -80312854, -120469280?\nAnswer: -160625706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6*j - 2. Let x be b(-5). Suppose -q + 1 = -1. Find the first derivative of 3*g**3 - 3*g**x + 4*g**3 - q + 3 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4123 - -4132. Calculate the remainder when 70 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 13 + -1 - (-2 - (0 + -3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4682683352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4252 divided by -4?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**18*z**(-1\/28)*((z\/z**13)\/z)\/(z\/(z\/(z**10\/z))) assuming z is positive.\nAnswer: z**(-113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(-4 + 474\/120). Let z = h - -34. Let g(i) = 8*i + 2. Let w(m) = -7*m - 2. What is z*g(j) + 5*w(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiyyifhyfifiriryhi. Give prob of sequence rfh.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 57 = -5*o, 0 = -2*n + 6*n - 8. Suppose o*i - 5*i - 32 = 0. Solve -i*d + 29 = 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427556.\nAnswer: 2, 89, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 933058.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 9*f - 10. Suppose -2*z + 38 = 4*t, 55 = 3*z + 8*t - 3*t. Suppose -29 = -4*g + z. Let d be i(g). What is the highest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1882 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31953, -30585, -26869, -19629, -7689, 10127, 34995?\nAnswer: 68091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13312?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 - 3*10\/(-120). Which is the biggest value? (a) o (b) 2 (c) 7\/2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/53544746 and 27\/963035.\nAnswer: 267723730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + -10 - (-19 - -40))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/120 + 7*n**5\/60 - n**4\/6 - n**3 - 13*n**2. Let r be z(6). Suppose 5*j = 4 + r. Solve -4*i + 2 = -j*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220184183471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/13, -0.04, 5, 3?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**3 + 6*g**2 + 12*g + 3. Let k be f(-1). Sort 0, 18, k, -3, 1 in ascending order.\nAnswer: -3, 0, 1, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -688021942 by -358.\nAnswer: 1921849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1569010, 1568996, 1568958, 1568884, 1568762?\n\"Answer: -2*x**3 + 1569012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11954.841 months in centuries?\nAnswer: 9.9623675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t**(-3)*t))\/t*t)\/t)\/t)\/t)\/t**6*(t*t**5)\/t*t**(-2\/3)*((t\/(t*t**(1\/5)*t)*t)\/t)\/((t*t**2\/t*t)\/t)*(t*t**0*t)**(-1\/8) assuming t is positive.\nAnswer: t**(-307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607.024um in kilometers?\nAnswer: 0.000001607024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 - 7*l**2 - 5*l**2 - 3*l**2 in the form n + o*l**2 + x*l and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2\/(13 + -3)). Suppose 0 = -4*o - 0*h - t*h + 119, -67 = -2*o - 5*h. Suppose -7*r + 37 + o = 0. What is the remainder when r is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6299?\nAnswer: 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Suppose 3*f - 2*l = -11 + 28, -5*l - 14 = o*f. Solve -2*y + 5*y + f = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 410315705?\nAnswer: 410315705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 37*s - 138. What is the hundreds digit of y(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 159*t**3 - 8*t**2 - 116*t - 335. Let m be n(-3). Which is smaller: -17409\/4 or m?\nAnswer: -17409\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) + sqrt(133) + -1*sqrt(133))*-5)\/((sqrt(6776)*-3)\/sqrt(8)).\nAnswer: -5*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 626\/3 (b) 0.2 (c) 0.4 (d) 5 (e) -0.4 (f) -1422\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/48 + 4)*42\/(-4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.492*40.82.\nAnswer: -60.90344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k**2 + 63*k**2 - 731*k + 731*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2591446 and 85\/237952.\nAnswer: 165852544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 661316251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-25)*10)\/((24\/10)\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*g - 0*g - 11, 0 = 2*h - g - 6. Suppose -3 = -u - h. Determine m so that -1\/5*m**u - 1\/5*m + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 290 and 8.2235.\nAnswer: 2384.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*h**3 + 17217*h**2 - 139956*h + 122508 = 0. Calculate h.\nAnswer: -82, 1, 498\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*m + 65 - 45 = 0, 3*m + 24 = -9*u. Let j = 1 - 1. Which is the third smallest value? (a) j (b) 11\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1 - 22*c + 2 + 7 - 15*c. Let a be l(-7). Suppose a - 1224 = -5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17199.7 - 17200. Put 1\/1220, m, 4, 3 in increasing order.\nAnswer: m, 1\/1220, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 h when four letters picked without replacement from eeeeehehheheheeeee?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, u: 2}. What is prob of sequence llu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(18\/3)*(-45)\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280*g + 1296*g = 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014461 and -0.204.\nAnswer: 0.002950044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 148023234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*o = -15, -3*y - 2*o = -y + 14. Sort y, 2, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + o + 1. Let s(a) = -5*a**3 - 2*a**2 - 17*a - 172. Let c(p) = 3*n(p) - s(p). List the prime factors of c(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 451792?\nAnswer: -451792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2203760 and 4660496?\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704296, -1408589, -2112898, -2817229, -3521588?\nAnswer: -4225981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -119902*n**3*s - 7*n**3 + 4500475*s wrt n.\nAnswer: -359706*n**2*s - 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 59. Let d(c) = c + 4. Let p be d(o). Solve z - 15 = -2*h, 5*h - 3 - 12 = p*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:46 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n**3 + 2130*n**2 - 6*n. Let o(j) = 30*j**3 + 4257*j**2 - 13*j. Give -13*m(i) + 6*o(i).\nAnswer: -2*i**3 - 2148*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7 and -74\/100443?\nAnswer: 100443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppdpddx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2)\/j*j*((j*j**(2\/7))\/j)\/j*j**(3\/4)\/j**(-3) assuming j is positive.\nAnswer: j**(57\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r + 3. Let a = 15 + -14. Let p be y(a). List the prime factors of (-1)\/p + 428\/10.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/5*s - 57\/5*s**5 + 629\/5*s**2 - 629\/5*s**4 + 0 + 7*s**3 = 0. What is s?\nAnswer: -11, -1, -2\/57, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*t - 11, t - 6*q - 7 = -2*q. Suppose 2*m - t*m = -4. Calculate the least common multiple of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/24 + a**2. Let n(y) = -1 + 14 + 21183*y - 21177*y. Determine n(m(w)).\nAnswer: 6*w + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 9)\/1 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1546, -1444, -5 in decreasing order.\nAnswer: -5, -1444, -1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 18*l**2 - 10*l. Suppose -5*t = -24 + 109. Let p(j) = 6*j**2 - 3*j. Let m(x) = t*p(x) + 6*o(x). What is the second derivative of m(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.01126174 rounded to 2 dps?\nAnswer: 37.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 37 + 0*r**3 + 27\/2*r**2 + 1\/4*r**4 - 2*r + 0*r**5 - 3*r**6. What is the second derivative of t(k) wrt k?\nAnswer: -360*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 33*o + 383. What is y(39)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3\/2, 14, -4\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 99. Determine g(42).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -8a6?\nAnswer: -8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose -4*t = 5*v - 62, -5*v = -v - m*t - 34. Let h be (-1064)\/2310 - ((-12)\/v)\/3. Is 0 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 59) + 2*14\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10032 (base 6) to base 13.\nAnswer: -7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**8\/2856 - d**7\/595 + 7*d**2\/2 + 45*d. Let w(b) be the first derivative of p(b). Factor w(k).\nAnswer: -2*k**4*(k + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdhndssdd. What is prob of sequence hnss?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 41 = -16*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -1828, -4014, -7048, -10930?\nAnswer: -15660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*d = 9, 3 + 6 = 4*w + 3*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3437 + -16?\nAnswer: -3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let u = 38 + -36. Let l be h(u). List the prime factors of (-462)\/(1 - 4)*l\/(-6).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14585691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -7364487\nAnswer: -4\/7364487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 6 - 27 + 7 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107, 33, -89, -253, -453, -683, -937?\n\"Answer: d**3 - 30*d**2 + 9*d + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r. Let t be h(-1). Let b(z) = -z**3 - 8*z**2 + 8*z - 6. Let q be b(t). Suppose q*u = 0, -77 = -g - 5*u + 6. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*f = 75703 - 75739, 3*s + f = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1453 (base 10) to base 6.\nAnswer: 10421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24124840 >= 24124838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, 125, 246, 395, 560, 729, 890?\n\"Answer: -2*g**3 + 32*g**2 - g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.001 - -23.201. Let c = a + -23.19879. What is c rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3220 (base 4) to base 9\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157409 is divided by 2915.\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 7.06. Let t = -7.25 + p. Round t to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g + 1 + 3 + 43*g**2 - 42*g**2. Let m(p) = -2*p + 1. Let k be m(3). Calculate j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, 213, 24 in descending order.\nAnswer: 213, 24, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 9. Let y be z(3). Let k(m) = -m**3 + m**2 - 2*m + 7. Let d be k(y). Let l be 1 - (3\/4 - d\/4). Solve 4*b = -2*w - l*w, 0 = w + 3*b + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 78 = -7*d, -95 = 5*h - 65*d + 60*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-1 - -2) - 5. Suppose 72 = -c*v + 192. Solve 24 = 12*b - v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 34*g + 226. Give n(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 5*a**2 - 3*a + 4. Let d be m(-4). Suppose d = -3*w - g + 95, -4*w + 2*g = g - 122. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(363)*6 + 0)*-1)**2*-3 + -2.\nAnswer: -352838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 2*u**2 - 12 + 14*u - u**2. Let g be j(9). Calculate the greatest common divisor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/6 - 2\/3. Let z(y) = 14*y**2 - 3*y + 2. Let h be z(3). Let u = 479\/4 - h. Which is the biggest value? (a) u (b) o (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-59468152\nAnswer: -59468151.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 82078 = 42783. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220 + -217. Solve -5*w + w = -d*b + 5, 5*b - 5*w - 10 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q - q**2 + 1 - 5 - 8*q. Let x be n(3). Find the third derivative of -4*r**5 - 4*r**2 + 3*r**2 + x*r**5 + 0*r**2 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1517*r**2 + 3446*r**2 - 1668*r**2.\nAnswer: 261*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8815b - 74?\nAnswer: -88202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, -45, -276, -621, -1092, -1701, -2460, -3381?\nAnswer: -4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19270303 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16488 by 2.\nAnswer: -8244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w + 3. Let l be o(-6). Let p be (16\/(-6) - -3)*l. Let d(m) = 3*m**2 + 1. What is d(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:35 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(-2)*(-1 - 1). Let b = 67 + z. What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*k = 15, -175*l - 3*k + 8 = -174*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 384*u**3 + 4*u**2 + 23*u + 11. Let z be y(-5). Let o = 34104 + z. Round o to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7764193498 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3745763988?\nAnswer: 2, 3, 439, 711041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.8 - -0.8. Let y = 4.9 + c. What is the nearest to y in 0.4, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 3, a: 5, i: 5}. What is prob of sequence att?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6876325.\nAnswer: 5, 275053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)\/(x**(-3\/7)*x))**(-47)\/((x*x*x**(1\/5)*x*x*x*x*x**(-6)*x)\/(x**(-6)\/x**1)) assuming x is positive.\nAnswer: x**(1969\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2. Let d(n) = 351*n. Let j(b) = b. Let x(z) = -d(z) - 4*j(z). Determine s(x(w)).\nAnswer: -252050*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + d + 6. What is the units digit of i(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*c + 61, -3*c + 27 = -0*z + 4*z. Let i(s) = s**3 - 5*s**2 + 9*s + 4. Let a be i(3). Let d = a - c. Solve -3*k + 2*k + 1 = d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 3*x**2 + 6*x - 6. Let u be v(4). Let p(c) = -c + 4*c - u*c. Let r(l) = 8*l. What is p(r(g))?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5375481 rounded to one decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, p: 9, x: 2, q: 1}. What is prob of picking 1 x and 1 n?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -28 + 6 + 1 + -1. Let s = z - -76. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -34. What is the least common multiple of 6 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 5*t**8\/336 - 5*t**7\/6 + 125*t**6\/8 - 375*t**5\/4 + 3*t**2 + 106*t + 2. Factor k(z).\nAnswer: 5*z**2*(z - 15)**2*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7414423 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -54719.3 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71325 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -7 - (-1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 12 = -25*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-7) + (-58)\/(-14). Solve -6*i + 2*i = -20, -3*z - 20 = -c*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 24*y - 29*y + 14 - 79 = 0, 3*w + 4*y + 52 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8744794606 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 544 - 842. Let s = x - -284.3. Round s to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2. Suppose -6 = -3*d, 2*a + 3*a + 4*d = 63. Let z(g) = 6*g + 8*g - a*g. Give h(z(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 694*k**3 - 584*k + 8. Let q(g) = 231*g**3 - 195*g + 3. Let z(p) = -3*d(p) + 8*q(p). Find the second derivative of z(b) wrt b.\nAnswer: -1404*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.166 or -29211?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8537 or -37876?\nAnswer: -8537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-420))\/(2\/(-10))*(-2044)\/(-1752)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 1, 5, 3, -82 in ascending order.\nAnswer: -82, -23, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + w**3 - 7*w - 9*w**2 - 4*w**2 - 22 - 3*w + 16*w in the form n*w + i*w**3 + j*w**2 + g and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f + 2. Let i be l(2). Solve -i + 10 = -4*p + 5*a, -10 = 3*p - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -0.92865.\nAnswer: -13.0011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3 - 16128*b**2 + 32250*b - 16124 = 0.\nAnswer: 1, 8062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39559319809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y. Let a be l(1). Let t(p) = -p**2 + 6*p + 4. Let r be t(5). Suppose r = 2*k + k. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12309, -24643, -36963, -49257, -61513, -73719, -85863?\n\"Answer: 2*n**3 - 5*n**2 - 12333*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 1 + 12 + (-13 - 17 + 41)*(1 - 1 + 3) + 1 - 2 + 3 + (-1 - 3 + 2)*(-1 + 3 - 3))*(4*t**2 - 5*t**2 - t**2).\nAnswer: -126*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*w**2 + 14*f**3*w + 2*f**2*v*w + 3466*v*w**3 - 208*w wrt w?\nAnswer: 2*f**3 + 20796*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/40146 and 10\/9.\nAnswer: 120438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/175)\/(16\/(-120))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -371.39026 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -589, -2388, -5383, -9580, -14985?\n\"Answer: -m**3 - 592*m**2 - 16*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -135 - 120 - (-2 + -20)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - 28\/6. Let z be 3 - (h\/(-2) + 22). Let w = z + 43. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - 5*v + 2*v)*(v + 2*v - v) + (12*v**2 + 11*v - 11*v)*(4 - 5 + 0) - v**2 + 4*v**2 - 4*v**2 to the form t + a*v**2 + y*v and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1462983 by 47193.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13312 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97403 + -97403.5. Let y = 0.1 + 0.1. Sort 2\/19, y, m in descending order.\nAnswer: y, 2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**5)**(-3\/4) assuming m is positive.\nAnswer: m**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17363 is divided by 726?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 375\/(-72) - (-4)\/(-6) and 2*-1*183\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 6*a - 4*a)*(-8 + 0 - 3)*(-2*a + 0*a - 97*a**2 - 10 + 101*a**2) to y*a + n*a**2 + j + p*a**3 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggyggkkbggwkjy. What is prob of picking 2 y, 1 w, and 1 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 6\/(-15)*206. Let o = u + -80. What is the nearest to 2\/5 in o, -5, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 1)*(5*u - 4*u + 2*u) + 0 + u + 0 + (0 + 0 + 3)*(-2*u - 3*u + 3*u) to the form a*u + n and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**(3\/8)))**(-24))**48 assuming l is positive.\nAnswer: l**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 47*u + 48*u = -11, 0 = -g + 5*u + 27 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/115392 and -71\/18564?\nAnswer: 178511424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 + 11*f**2 + 37*f - 188. Calculate l(5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 2*r, 5*k = 3*r + 2*k + 12. Suppose r = 3*m - 11 - 1. Find the third derivative of 11*u**2 + 3*u**4 + 2*u**2 - 6*u**2 + 7*u**m wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**3 - 6*g**2 + 7*g - 6. Let q(h) = 21 - 8*h**3 - 16 - 5*h**2 - 10 + 6*h. What is -6*q(u) + 5*t(u)?\nAnswer: 3*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 3351304?\nAnswer: 3351323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211337.\nAnswer: 7, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 - 31 = -5*l, -u + 3*l = 15. Suppose 5*w - 4*d + u*d = 45, -2*w + d = -15. Let s = 2 + -1. Solve -h + s = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 0, -0.5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.55923 micrograms to grams.\nAnswer: 0.00009855923","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 6*j + 16 - 11)*(-1 - 2 - 1).\nAnswer: 24*j + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 4)*(5*q + 10*q - 5*q)*(3 - 4 + 0) + (-2*q - 7*q + 0*q)*(-2 + 3 + 1) - 3*q + q + 0*q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1 - (9\/3 + -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -2778, -9580, -22836, -44700, -77326, -122868, -183480?\nAnswer: -261316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/12488 and 17\/2184.\nAnswer: 487032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (sqrt(19) + sqrt(304))) + 3 - (sqrt(19)*2 + -3))**2 + (sqrt(95) + 5*(sqrt(95)*-6 + sqrt(95)))\/sqrt(5))*-2.\nAnswer: -1440 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -475093*v**5 - 2*v**2 - 40*v + 244 wrt v.\nAnswer: -28505580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6840279857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, e: 1, u: 2, l: 6}. What is prob of sequence ut?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79344*u**4 + 15*u**3 - 31*u**2 - 280776951*u.\nAnswer: -952128*u**2 + 90*u - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 40*a**2 + 203*a - 28. Determine q(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -303063717*y**3 + 2621*y**2 - 6*y - 3303 wrt y?\nAnswer: -1818382302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93, -90, -87, -84?\n\"Answer: 3*p - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 + 3*p - 3. Suppose -2*y - 10 = -0*y. Let r be u(y). What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 736*o**2 - 991. Let l(f) = -2. Let a(z) = -5*l(z) - t(z). Differentiate a(b) with respect to b.\nAnswer: -1472*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(480\/238 - (-1 + 3)) is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*p**3\/5 + 177*p**2\/5 + 33*p\/5 - 18\/5 = 0. What is p?\nAnswer: -2, -1\/2, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2360, 4678, 6958, 9182, 11332, 13390?\nAnswer: 15338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 326994 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13\/3)*y**(18\/5)*y*y)\/(y*y**(-15))**(-20) assuming y is positive.\nAnswer: y**(-4181\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/28044 and 0.015 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1227 and 83\/6?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - 50*h - 106. Let k be d(-3). Which is greater: 129 or k?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, 14.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27096, 54468, 82382, 111108, 140916, 172076, 204858, 239532?\n\"Answer: 45*s**3 + s**2 + 27054*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 13*s**4\/24 + s**3\/6 - 105*s**2. Calculate n(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**(9\/4)\/((j\/(j**(-1\/2)*j))\/(j\/(j\/j**5))) assuming j is positive.\nAnswer: j**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 323133250 (base 6) to base 2\nAnswer: 10101111100000100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-10)*5\/(-1). List the prime factors of 57\/(-2)*n\/(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316031 - 13064?\nAnswer: 302967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + 17)*(-2 + 4) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6090 + 15127. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46663279991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*y + 203*y + 22*y.\nAnswer: 332*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woioiwiohi. Give prob of picking 2 o, 1 w, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113350?\nAnswer: 2, 5, 7, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 15, p: 3}. Give prob of sequence apaa.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 5*o + 35, -11 = 4*a - 0*o + 3*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8354 - 8092. What is the greatest common factor of h and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 4. Let w(g) = g - 1. Let q(z) = -2*o(z) + 7*w(z). Give q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(637) + (1*sqrt(637))**2 + (2*(sqrt(52)\/sqrt(4) + -5))**2.\nAnswer: -33*sqrt(13) + 791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 376 - 19*y**2 + 20*y**2 + 327 - 257 + 472 as a + n*y + m*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**7\/120 + 3*q**5\/20 + 4*q**3 - 18. Let s(d) be the third derivative of r(d). What is the second derivative of s(m) wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*i + 9, -2*k + k - i = -2. Suppose -5*c - k = -6*c. Solve 0 = -5*l - 6 + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9290, 5026, 10 in increasing order.\nAnswer: -9290, 10, 5026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 339.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 88.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5916ab + -4?\nAnswer: a5916a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8469 - 1.774. Let x = g - 1.0729. What is the nearest to x in -1\/2, -2\/7, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-14 + 16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2024 - 89294*h**3 - 1017 - 1007.\nAnswer: -89294*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107078, 213821, 320564, 427307?\nAnswer: 534050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trjt when four letters picked without replacement from yxrrrryrtrrrrjtxrrr.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -211132 (base 5) in base 7?\nAnswer: -26350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24733 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*x**3 + 3766320*x**2 + 1673980*x + 186000.\nAnswer: -5*(x - 9300)*(9*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 662 = 4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272949436 to the nearest integer?\nAnswer: 16521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from affufluafll. Give prob of picking 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-266)\/3 + 2). Suppose 0 = 5*s - d + 30. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 27. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913714.\nAnswer: 2, 79, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w - 10 = 0, -3*g = 3*w + 48. Let y = 31 + g. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 483217 or 39?\nAnswer: 483217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-3) - 22\/(-11). Let d = i + -209\/15. What is the nearest to 1 in -2\/7, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 35 = m, 4*m = 2*m + 2. Suppose 25 = -4*r + f*r. Suppose r*w - 3760000 = w. Round w to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 5*f + 4*a - 1, f - 26 = -a. Solve -6*j = 2*j - f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z**(1\/3)*z)\/z*z)\/z*z)\/z)**(-48)*(z\/(z**(1\/5)\/z))\/z*z**(2\/3)*z assuming z is positive.\nAnswer: z**(-1643\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661554.\nAnswer: 2, 3, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(133)\/sqrt(112) + -4)**2.\nAnswer: -2*sqrt(19) + 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let s(l) = 42*l. Let b be s(x). Let n = 81\/2 + b. Is -2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -24487?\nAnswer: -24487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 8*m**2 + m - 2. What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.1 - 10.918. Let u = h - -0.118. Which is the closest to 0.1? (a) 1 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 0 (c) 840284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(11) + sqrt(11))**2 - sqrt(11)) + (sqrt(396) - (sqrt(396) + -1)**2).\nAnswer: -617 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 186 = 5*v + 120 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 35081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 + 4508*b + 9000 = 0?\nAnswer: -1125, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 14*o**2 - 4*o - 12. Let z(m) = 3*m**3 - m**2 - 3*m - 1. Let q be z(2). Let s be b(q). What is the hundreds digit of (-7 - s) + -2 - (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38*(-18)\/(-42))\/(-17 - (1827\/(-49) - -20)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrqldaqx. Give prob of picking 1 d and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1558.89 - -1533. Let h = t - -26. Which is smaller: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 19\/3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/((-12)\/(-40)). Suppose -p - b*p - 140 = 0. What is the units digit of (-3)\/4 - 49\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1014, 6, -222, -5.\nAnswer: -222, -5, 6, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14 + -8 + -4 + 12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Suppose -r*t = -t - 12. What is the units digit of 2 + (t - 1*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 5. Let z(b) be the second derivative of 2*b**3\/3 - 8*b + 17. Calculate h(z(o)).\nAnswer: -4*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -6 + 7*(-4)\/(-7). Suppose 3*o - 9 - 3 = 2*h, h = -3. Suppose -3*f + v + 14 = 0, 4*f - 10 = 2*f + v. Solve q = -l + o*l - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 3*t**2 + 4*t + 71. Determine p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325327522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266798 by -17.\nAnswer: -15694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w - 5. Let l(u) = -13*u + 10. Determine -4*l(h) - 3*p(h).\nAnswer: 10*h - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-10) - (-78)\/15. Let v(m) be the second derivative of m**4\/12 - m**3\/3 - m**2 - m. Determine v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/8 + 1677*z\/8 + 837\/4 = 0. Calculate z.\nAnswer: -558, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 136881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 5618*k**3 + 5262192*k**2 - 1645308288*k + 1640051712.\nAnswer: 2*(k - 936)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -546 - -558. Solve -10*d = i + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/4 and -39\/3628828.\nAnswer: 3628828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k - 4*z + 124, -4*z + 98 = -3*k. Let j(c) = 77*c + 513. Let f be j(-7). Is f at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42301 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = 2*o - 8, 18 = -3*c + 4*o. Let i(b) = -b**2 - 7*b - 1. Let v be i(-6). Suppose v*h = -0*h. Sort h, c, -4 in decreasing order.\nAnswer: h, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 18 + 6)*(-2*d + 4*d + 0*d) + 9*d - 5*d - 7*d to q*d + g and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/(-42))\/16)\/(6\/72).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, -1865, -8539, -21533, -42953?\nAnswer: -74905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c. Let z(b) be the second derivative of 0 + 25\/6*b**3 - 17*b + 0*b**2. Determine z(g(o)).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194784?\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0*q**4 - 5\/6*q**3 - 12*q + 55*q**2 + 1 - 11\/20*q**5. What is the first derivative of k(g) wrt g?\nAnswer: -33*g**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5743, -5760, -5779, -5800, -5823, -5848?\n\"Answer: -q**2 - 14*q - 5728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 175 = -v + 33, -92 = 2*y + 2*v. Let w = y + 81. Calculate the lowest common multiple of w and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 k, and 1 s when four letters picked without replacement from sskkkkwwskjkkkkkkjj.\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 11*o**6\/360 + o**5\/120 - o**4\/12 + o**3\/6 - o. Let k(q) be the second derivative of p(q). Is k(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 2*-3*sqrt(1872) + -4)**2 - ((sqrt(78) - sqrt(78)*-3 - sqrt(78))\/sqrt(6) + (sqrt(65)*4 + sqrt(65) - sqrt(65))\/sqrt(5)).\nAnswer: 473*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 33*g - 32*g - 18 = 0, -12*z = -11*z + 5*g + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/120 - k**5\/20 - 37*k**2. Factor t(p).\nAnswer: -p**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -623*j**3 + 208?\nAnswer: -1869*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.2, 6, -0.4, 12\/11, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + 11*y**2 - 13*y - 166. Is m(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9933 and 144074854?\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.7, 3, -2\/3, 2\/20213 in descending order.\nAnswer: 3, 2\/20213, -2\/3, -41.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {y: 2, x: 4, m: 4, r: 2, q: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*x**2 + 240*x - 21395 wrt x?\nAnswer: 16*x + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 112*u**2 - 20*u - 9. Let r = 172 - 178. Is t(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or 20\/31?\nAnswer: 20\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11842, -1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 9. Let i = w + 0. Let d(z) = -z**3 - 3*z**2 + 6*z - 5. What is d(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 4*q**2 - 3*q + 2. Let s be p(-3). Suppose -s*a + 5*r - 115 = 4*r, -3*a - 3*r = 186. Let w = -4 - a. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20256 and 1738851?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**12\/(w**(-9)\/w)**(-7\/9) assuming w is positive.\nAnswer: w**(-706\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343 = 26*p - 1031 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5775 (base 11) to base 16\nAnswer: -1da0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882872.\nAnswer: 2, 110359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -243. Let f = 205 - q. What is the closest to -0.3 in -1, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 3965?\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 16*z**3 - 2 + 2*z**3 - 13*z**3 to f + o*z**3 + g*z**2 + u*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216028 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 94, 145?\n\"Answer: 51*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-320)\/4)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.057 or -40650?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.95 - -9.95. What is the third smallest value in 8, s, 4\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/9 + 880*w\/9 = 0.\nAnswer: 0, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6165*y**2 - 21085*y + 7770.\nAnswer: 5*(y - 3)*(1233*y - 518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17942, -35884, -53824, -71762, -89698?\n\"Answer: l**2 - 17945*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/3*(88\/16 - 4). List the prime factors of m*(145\/(-20) - -1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 22 = 5*g + 6*b, 0 = -7*b - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) + 4 + -4. Let x = -2.19 - 0.01. Let n = 2.5 + x. Which is the second biggest value? (a) -0.8 (b) n (c) k (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - -2 - (-3 - -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 21*r + 11*r + 3*r + r**3 + 8*r.\nAnswer: r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*j - 1902 + 2452. Let p(i) be the third derivative of i**4\/24 + 13*i**3\/6 + 3*i**2. Calculate p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -30962 (b) 2\/3 (c) 79 (d) 0.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/16))**(-23))**(-18))**(-11\/6) assuming z is positive.\nAnswer: z**(-11385\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -443985026, -887970052, -1331955078, -1775940104, -2219925130, -2663910156?\n\"Answer: -443985026*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -11*x**2 - 38*x = 0?\nAnswer: -38\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.03 (c) 10270 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:21 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -417*(-5 + (-16)\/(-3)). What is the units digit of c*2\/((-6)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - 16\/3*(-7)\/28. Factor 0 + 0*f + 0*f**r + 2\/9*f**3 - 4\/9*f**5 + 2\/9*f**4.\nAnswer: -2*f**3*(f - 1)*(2*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 89915.99 seconds?\nAnswer: 89915990000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 130.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 0 - 7 - 3*h + 12*h**2 - 5*h - 6*h. Let u be r(-13). Suppose -6 = 5*y - u*y. Calculate the greatest common factor of y and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2359 = 6*i - 23191. Suppose -2*v = -v + 1, k = -5*v + i. Suppose b - 5*j = 690, -5*b - j + k = j. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*a = 99*a + n + 51849, 5*n + 10389 = a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -19, -26, 5, -18\/1747 in increasing order.\nAnswer: -26, -19, -18\/1747, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 18*u - 22*u. Suppose u = k - 9. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*-1*(2 + 3). Suppose -3*d + 7 = -z + 3*z, -20 = -b*d + 5*z. Suppose -3*v = 2*j - 269, 132 = j - d*v + 20. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1308827548 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (3 - 5)*(3 + (-1)\/(4\/7348))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -137*s - 329. What is the hundreds digit of j(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 1. Let m(x) = 2*x + 2. Let p be m(-5). Let d be h(p). Suppose d*r = 5*r + 2. Which is the closest to r? (a) 2\/3 (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 162619, 162615, 162611, 162607?\n\"Answer: -4*d + 162623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*m = 5*m - 511, 2*p = -2*m + 516. Suppose -3*t + 94 = -5*j, -3*t + 3*j + 88 = -8. Calculate the remainder when p is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 674, -1, 1.5, 4.\nAnswer: -3, -1, 1.5, 4, 5, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5163.8 + 5164. Is v less than 1\/501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.88 + 12.96. Let o = -9 + 8.8. Let p = -29 - -259\/9. What is the third smallest value in o, p, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 705 and 1092969255.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1318060*i**2*k**2 + 2*i**2*k + 31*i**2 + 5*i*k - k**4 + 59*k - 3 wrt k.\nAnswer: 2636120*i**2 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*x - 418*x + 37908 = -104*x + 331*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1116)\/(-45))\/((-676)\/845).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 898164504 to the power of 1\/3, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/(-76)*(-2)\/(-8))\/((-5)\/1000*5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*t**3 - 8*t**2 + 8*t**2 - 2*t + 5 + 9*t**2 + 71*t**3 in the form i*t**2 + f*t + w + z*t**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/o**0)))\/o)**(1\/42)\/(o**(1\/3)\/o*o**(-2\/13)*o))\/((o**(2\/5)\/o**(1\/7))\/((o\/o**(-4\/3))\/(o**(-6)\/o*o))) assuming o is positive.\nAnswer: o**(3593\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-2 + 6 - 5). Let v(l) = l + 2. What is v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 + 8*x + 4. Suppose 0*h - 3*h + 9 = 0. Let y be j(h). Let a = y - -108. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.995 - -27.495. Which is the nearest to -0.2? (a) -1\/3 (b) 0.36 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9558.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 9. Let o be g(0). Let a(v) be the third derivative of v**4\/24 + 5*v**3\/3 - 258*v**2. Give a(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, k: 4}. What is prob of picking 2 k and 1 s?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8087\/2 - 80781\/20. Let k = -1633\/444132 - -3\/676. Let s = k + -14345\/657. What is the common denominator of s and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 11*w**6\/420 + w**5\/105 + 14*w**2. Factor k(t).\nAnswer: 2*t**2*(11*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918905 is divided by 2054.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 146596886.1 microseconds in weeks?\nAnswer: 0.00024238903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 9. Let f be j(13). Let y be (-20)\/(-175) - f\/14. Let m = 13\/2 - 93\/14. What is the third smallest value in m, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170485697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21450843 to the nearest integer?\nAnswer: 4632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -670*w + 221*w + 229*w - 5*w**2 + 9*w**3 + 220*w to h*w**3 + l + k*w + c*w**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, 18, -5 in ascending order.\nAnswer: -5, 1, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdw when three letters picked without replacement from {w: 2, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-481 - -475) + (-36 - (-1 + 3 - (0 + 1)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.65 + -6.85. Let i = -1.3 + 0.3. What is the nearest to i in -0.14, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.36 take away 215.75?\nAnswer: -173.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 6*k**2 + k**3 - 7*k + k**3 + 4. Suppose 4*h = 5*b - 9, -5*b - h - h = -33. Determine a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2) + sqrt(4)\/sqrt(2))*3 + sqrt(576)\/sqrt(8))*6.\nAnswer: -432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*l - 29. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 3694?\nAnswer: 3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -2. Let v(b) = 5*b - 30. Let y be v(7). Suppose 3*m - y*u - 45 = 279, m + 4*u = 125. Calculate the remainder when m is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -55 (b) -2 (c) -1\/12 (d) -54 (e) -0.2 (f) -5 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*l + 14, -176*d + 2*l + 4 = -352*d + 176*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + 2*x + 4*x)*(-2*x**2 + 0*x**2 + 3*x**2) - x**3 - x**3 + 4*x**3)*(3*x**2 + 3*x**2 + 3*x - 5*x**2).\nAnswer: 5*x**5 + 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**11)**(-10)\/(((m**(1\/13)\/m)\/m)\/(m*m\/(m\/(m\/m**(-1\/21))))) assuming m is positive.\nAnswer: m**(-31676\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/8848 and 103\/18?\nAnswer: 79632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -18*(-1604)\/(-289520) - -2*(-2)\/(-40). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**3 + 9*c**2 - 7*c - 2. Let d(a) = -17*a**3 - 17*a**2 + 12*a + 5. Determine 3*d(f) + 5*h(f).\nAnswer: -f**3 - 6*f**2 + f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 2.7. Let m = 50\/7 - 143\/21. Which is the nearest to m? (a) 2 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.6 + 36.6. Let x be (-2)\/(-14) - (-1746)\/126 - -3. What is the closest to 0.1 in -1, x, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 3*x + 4. Suppose 2*a + 4*i = -52, a + 4*i = -i - 11. Let l = a - -33. What is the remainder when 78 is divided by p(l)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185865 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-30) - 1 - (-24734)\/(-6). Let v = z - -41263\/10. Find the common denominator of v and -21\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 72. Suppose -o = -w + 5*w. Let v(d) = 3*d + 6 + 0 - 1. What is v(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-86)\/(-6))\/((697\/(-1071))\/(-41)). What is the greatest common factor of h and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 77. Suppose -4*y - 4*m = -7*m - 20, 4*y = -5*m + 52. Suppose 0 = -5*c + y + 7. Solve -c*s + b = -5*o, 0 = -5*s - 4*o - 8 - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 12 = -5*u, -4*u = 2*b + b - 22. Let n be b\/7 - 130\/(-35). What is the units digit of 60 - 1 - (n + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -751 + 1?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100100001 + 10011?\nAnswer: -10011100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6551525 (base 8) in base 6?\nAnswer: -101403021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -43193.\nAnswer: 4\/43193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 2:24 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and 5.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-109494)\/(-2805)) + 4 + 5.\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7294.087 litres to millilitres.\nAnswer: 7294087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 241 = 29. What is the units digit of (-1 + -14)\/(g\/(-243))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + -16*(-6)\/(-12). Let y = 9 + -7. Suppose -y = l - 1. Sort v, 2, l in ascending order.\nAnswer: l, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*x**4 + 3*x - 5061?\nAnswer: 280*x**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 3597*k**7\/70 + 17*k**4\/8 - 2*k**3 - 4*k**2 + 1763. Find the second derivative of t(f) wrt f.\nAnswer: 129492*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -81. Let n be (15\/6)\/((-5)\/l). Let y(o) = 69*o - 23. Let c(r) = 17*r - 6. Let x(q) = n*y(q) - 23*c(q). Let u(h) = -h. Determine x(u(d)).\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 55 - -87*((-33)\/(-363))\/(3\/(-4)).\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h**2. Let x(m) be the first derivative of 0*m + 0*m**2 - 12 + 1\/3*m**3. Determine r(x(l)).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2244)\/(-510) + -1 + (-9)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4551.372t to nanograms.\nAnswer: 4551372000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/((-9)\/90*(-110)\/(-132)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.08 - -8.68. Which is the fifth smallest value? (a) 2\/25 (b) y (c) -0.5 (d) 0.1 (e) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 times -319?\nAnswer: -925.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -25.3. Which is the third biggest value? (a) 0.5 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7894509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 14}. What is prob of picking 4 l?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**2\/2 + 3*o + 2. What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*1 - (-24)\/(-9). Let z = -14122.1 - -14122. What is the fourth smallest value in 2\/7, 16, z, s?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.543612mg?\nAnswer: 0.000008543612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**8\/105 + 34*j**7\/525 - 2*j**6\/15 + 4*j**5\/75 - 2*j**2. Solve f(u) = 0 for u.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 464, 1186, 2388, 4070, 6232, 8874, 11996?\n\"Answer: 240*q**2 + 2*q + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 - 11667.\nAnswer: -11890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4 + 8750*n + 271134 wrt n?\nAnswer: 8*n**3 + 8750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) + (sqrt(160) + (sqrt(160) - (sqrt(160)*-3*2 - sqrt(160)) - sqrt(160)) - sqrt(160) - sqrt(160)))\/(sqrt(25)\/(sqrt(15)\/sqrt(3))).\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211092 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 + 322*c**4\/5 - 1312*c**3\/5 + 264*c**2 = 0.\nAnswer: -165, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17664?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, 437 in decreasing order.\nAnswer: 437, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/12 (b) 0.01 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 332*y - 1034. Calculate p(2).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c**2 + 2*c + 1. Let v be k(-1). Let p = v - -17. Solve i + 15 = 3*w, p*i - 10 = -2*w - 0*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.1. Let c = 14.17 - 13.87. Let x = 1 + -5\/7. Sort c, x, u in decreasing order.\nAnswer: c, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:50 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65232)\/(-448)*(2 - 28\/15). Let o = f + -138\/7. Which is the second smallest value? (a) 0.1 (b) o (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/5)\/(p*p*p\/((p*p*p\/(p*p\/(p*p**8\/p))*p)\/p)*p)*p**7\/p**(-1\/4)*p**(-1\/3)\/(p*p*p**(-6)*p)*p*p**(3\/5)*p\/(p*p\/((p**(-6)*p)\/p)) assuming p is positive.\nAnswer: p**(583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338*u**4 - 4763*u**2*y**3 + 11*u*y**3 - 168*u*y - 4*u - 3*y**3 - 11*y**2 wrt u?\nAnswer: -4056*u**2 - 9526*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.916446 - 0.8729. What is p rounded to 4 decimal places?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssissssssssssssss. Give prob of picking 2 s and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.5 (b) 0.01 (c) 2 (d) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -37?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/44 - -201\/220. What is the second smallest value in l, -1, 2.7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -394 (c) -70\/1479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.096 and -0.5398.\nAnswer: 0.0518208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 5*j - 2. Let s be k(5). Let i be ((-6)\/(-30))\/(s + 1). Which is the nearest to -2\/5? (a) i (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-11872)*53)\/((1\/(-2))\/((-84)\/8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-2 - 0) - -150. Let s = x - 136. Calculate the lowest common multiple of 32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 193. Is 37 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 77*i + 236*i + 91*i + 286*i to u*i + y and give u.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 6)\/(-1)*(-2 - -1). Solve -2*b + 0*k - 12 = 4*k, -v*b + 4 = k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/4 - f**3 + 12*f**2 - 76*f. What is r in c(r) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/11 + 46*f**4\/11 + 6*f**3\/11 - 134*f**2\/11 - 92*f\/11 = 0. Calculate f.\nAnswer: -1, 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*k = 3979, -2*n - 3*k = -n - 4004. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312476 - -2.\nAnswer: -312474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (-2 - -3 - 0) + 113 + -103?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 439101.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.4 (c) 13 (d) -6 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 413462? (a) 1\/4 (b) -2\/11 (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1002233 (base 5) to base 14\nAnswer: -5b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 3, f: 2, j: 2}. What is prob of sequence jyvy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -16, -906.\nAnswer: -906, -28, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(t - 1 + 3*t - 6*t).\nAnswer: -6*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -41.00000054. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -21 + 80 - v**3 - 43 - v**3. Let p(d) = 2*d**2. What is p(x(w))?\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31206733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3991325 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -15. Suppose i = 5*h - 3. Find the third derivative of -o**5 + 6*o**h - 3*o**2 - o**2 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 31*a**2. Let b(s) = 290*s - 73. Give b(k(d)).\nAnswer: 8990*d**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1070 - -5665. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*w + y = 2*w + 107 - 121, 0 = -3*w + 4*y - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 4*q + 24 = -4*v, -2*q = -3*v - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = -49*l - 23*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*c + 11, -5*i + 25 = c - 0*i. What is the second derivative of c*d + 81*d**4 - 8*d - 28*d - 13*d wrt d?\nAnswer: 972*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/8 + 127*i + 32258 = 0.\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -855*z**2 + 9. Let b(x) = 82082*x**2 - 861. Determine -3*b(c) - 287*q(c).\nAnswer: -861*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 9*o - 16. Suppose 0*w = -3*w. Suppose -o*f - 48 = -4*b, -51 = -w*b - 5*b - 4*f. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 5*2 - (-4272 - 110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4894812 and 20?\nAnswer: 24474060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 478600 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 5508?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let o be (-2)\/((-114)\/102 - -1). Solve -2*p - 2*p - f - o = 0, -3*f - 6 = -v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3343 and -156 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)*m)**(-50)\/(m*m\/m**(-5\/6)*m\/(m*m*m**(-1\/4)*m)*m))**(-36) assuming m is positive.\nAnswer: m**2275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.13 - 59.87. Sort 2\/9, -4, m, -7\/2 in increasing order.\nAnswer: m, -4, -7\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3645 - 3590. Let c(p) = 2*p + 230. Calculate the least common multiple of c(0) and f.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*c + 3. What is the lowest common multiple of (-8)\/c*(-81)\/(-18) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -209.12 times 9974\nAnswer: -2085762.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.5 (b) -1\/4 (c) 5\/3 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -17, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:25 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1948 + 1953. Solve -2 = -m*i - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:33 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 8*g + 40. Let z = 36 + g. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -64, -96?\n\"Answer: -32*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1080)*3)\/sqrt(2))\/(3*(sqrt(243) + (sqrt(243) - sqrt(243)*5) + sqrt(243)) + sqrt(243)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*p - 966*p - 1033 + 114658 = -433*p for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 54?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udodudsuobdddusu. What is prob of picking 1 d and 2 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 3*h**5\/40 - h**4\/2 - 19*h**3\/4 - 21*h**2\/2 - 25*h - 1. Determine k so that q(k) = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71552379641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224644386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -3. Let u be 8\/20 - 34\/j. Does 21 divide u - (-118)\/(-2)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-6 - (-37)\/6))\/(-3 - 22)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348096513.\nAnswer: 3, 23, 5044877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - g - 6 = 0, -2*a = 4*g - 3 + 21. Let f be (-9)\/(-12)*a + (-22)\/(-8). Solve f*i - 3*h = -20, -5*i - 53 + 13 = -5*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 54 - o - 51.\nAnswer: -o - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6276?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + 6*sqrt(270) - (sqrt(90) + -2*sqrt(90))\/sqrt(3))\/(2*sqrt(36)\/sqrt(294)).\nAnswer: 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30398 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294 + -311. Which is smaller: o or -79\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2238*t**2 - 4 + t + 2241*t**2 + t. Let c be f(-13). Calculate the greatest common divisor of c and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15249.8 + -15250. Let t = -1 - -1.5. Let x = t + -1. Which is the nearest to -1? (a) d (b) x (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99742836 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-22*8\/(-288)*9?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 971, 987, 1003, 1019?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -5\/791001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**3 + 470*y**2 + 908*y + 56343. Determine x(-67).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -24*u**3 + 20*u**2 + 4. Let x(w) = w**3 - w**2. Let m = 6 + -7. Let d(h) = m*f(h) - 20*x(h). What is the derivative of d(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 g when four letters picked without replacement from {g: 1, e: 3, d: 6, v: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 11088118*p - 11088117.\nAnswer: -(p - 11088117)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0 - 10) + 4 + -3 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 10 + -11 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 157135000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 3*h - 2*h)*(-5*h + 0*h + 4*h)*(-11655*h - 3974*h - 7780*h + 1248*h) to o*h**2 + t*h + v + f*h**3 and give f.\nAnswer: -22161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 - 8*i - 6. Let f be l(-5). Let k = f - 12. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28 - -0.02. Let b = -851 + 851. Sort b, -0.3, c in increasing order.\nAnswer: -0.3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.83732853 rounded to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5271 + 5355. Solve 36*w + z = 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*o, 5*x + 2*o - 18 = -2*o. Suppose x = 5*h - 4. What is the highest common divisor of h and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37054*f*q**2 + 2959*f*q - 2*f wrt q.\nAnswer: 74108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -40. Suppose -k = -2*s + 133, 0 = 2*s + 5*k - 140 + j. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2\/20)\/(-4 + 189\/45). Which is the nearest to 13\/8? (a) n (b) -2\/15 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -168.16 and -852.\nAnswer: 143272.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 17*p**2 + 3. Let f be z(17). Suppose y + 292 = 5*i, y - 2*y + 180 = f*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 550*g - g**3 - g**2.\nAnswer: -g**3 - 550*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13659 - 13654. Which is the closest to 5? (a) 3 (b) 0.4 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/3 - m**3\/3 + 4*m**2 + 2*m. Let h(r) = -r**2 - 1. Determine -c(i) - 5*h(i).\nAnswer: i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/18538875 and 187\/1350?\nAnswer: 37077750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + a + 4224 = 3*a, 5280 = 5*l - 4*a. Let v = -753 + l. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 3. Let u be w(-4). Let z be (1 + 1)*150\/60. Which is the nearest to u? (a) 0 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-2 - (sqrt(32) + sqrt(32) + -2)**2.\nAnswer: -132 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1205370 to the nearest ten thousand.\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356438730 a multiple of 4649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -574 by -1.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6 - 19*p + 3*p**2 + 44 - 2*p**2 - p. Let w be a(18). Solve -2*f - 16 = w*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.056 and -393487.52?\nAnswer: 393487.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 46*v**2 + 46*v - 33. Suppose 5*a - 231 = 2*c, 5*a = -0*c + 5*c + 240. Let j be x(a). Solve 7*z + 9 = -j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n*n**13))))**18\/(n**(5\/13)*n*(n\/((n**1*n*n)\/n*n))\/n) assuming n is positive.\nAnswer: n**(-3021\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72.9105 - -73.1. What is c rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/99*(5 - 2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/2061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-5 + sqrt(2)*1)) + sqrt(2) + 5)*-5 + 0 + sqrt(12)\/(sqrt(30)\/sqrt(5)) + -4*sqrt(8).\nAnswer: -50 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317515007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 384 (b) 1 (c) 0.09 (d) 261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1008))*3)**2 + (sqrt(1008) + -1)*1 + 6*((-2*(0 + sqrt(1008)))**2 + -2 + (sqrt(1008) - (sqrt(1008) + -1))).\nAnswer: -204*sqrt(7) + 33266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9 + 5 + 6 + 8*x - 18*x**2 - 1. Let n be b(-7). Let d = n - -1670. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 35 - 125. What is the hundreds digit of (b + -19)*1*23*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b + 672 = 369 + 625 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830377?\nAnswer: 149, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*k = 48, 5*k = b - 6*b - 55. Let d be (4 + b - -1) + -5. Suppose -5*v = -j + 27, -j - 3*j - 7 = 3*v. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 22 = 3*b. Sort 3, 1, b in ascending order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 980687 - 1383687. What is a rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(459)*2 - sqrt(459) - 2*(sqrt(459) + (sqrt(459) - 1*sqrt(459)) + sqrt(459) + sqrt(459)))\/(-2*sqrt(3)*2 - sqrt(27)*-2).\nAnswer: -33*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -57\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*q + 56 = -223*q. Calculate the remainder when 37 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l**4 + 0)*(2 + 3*l - 2) - l**4 - l**5 - 1 + l**4.\nAnswer: -7*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14335828181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 8*k - 7. Give r(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*t = -23 - 4, 0 = -5*q + 2*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, m: 11}. Give prob of sequence gm.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552124 to the power of 1\/2, to the nearest integer?\nAnswer: 2356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 8*d = 48 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j - 7. Suppose 0 = -5*k - 3*r + 17, -j*r + 5 = -3. Calculate the remainder when k + 58 + 0 - -2 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -125. Let x = -189 + 340. Let k = x + m. What is the smallest common multiple of k and 14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -116. Suppose 7*m = -d - 2. Let b(g) = g**3 - 6*g**2 + 6*g + 4. Let n be b(5). Put n, m, 3 in decreasing order.\nAnswer: n, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3960 + 12934. Suppose 8*t - q = -598. What are the prime factors of t?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 0.2, 4\/9 in ascending order.\nAnswer: -79, 0.2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -215677 and -647032\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 9*m. Let o be k(-9). Let x = 54587\/300168 - 1\/27288. Factor -x*b**2 + o - 4\/11*b.\nAnswer: -2*b*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 16) in base 3?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*b + 8 = 0, 5*b + 254 = -31*y - 42*y + 317 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 334282567333760 and 0.4?\nAnswer: 334282567333759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.1 - -9.02. Let d = w + 0.78. What is the third smallest value in -1\/9, d, -0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.3, 149532, -2\/13, -5, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 11*g - 2. Let o(a) = -a**2 - 836*a - 6. Calculate o(y) - 2*q(y).\nAnswer: y**2 - 814*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*(-7)\/(-56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*x + 8*x. Find the second derivative of -78*d**3 - 3*d**2 - 5*d + x*d**2 + 83*d**3 wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 7*h + 2*h + 0*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/((-56)\/54)*-36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + (-2)\/(-10). Sort 4, n, -3 in descending order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9183850 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/299 + (-198)\/(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13402.3111439 + 13402.3. Round r to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 6:19 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, t: 9}. Give prob of picking 1 t and 1 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53.1 and -0.3.\nAnswer: 15.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26340 and -4483.\nAnswer: -118082220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -80*a**2 - 1505*a - 50. Determine k(-18).\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4751734120 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**3 + 30*m**3 - 7*m**3)*(m - m - m)*(320 + 677 - 1268).\nAnswer: 8943*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 30*z + 0 - 30*z**3 - 30*z.\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1683\/215 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -101. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22032162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -802, -791, -774, -751, -722, -687, -646?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, 20911, 54754, 102135, 163054?\nAnswer: 237511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5748.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 154*d**2 + 23*d - 61. Let v be m(3). Suppose 4267 = 9*p - v. What are the prime factors of p?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13601 + -3422. List the prime factors of o.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32082, -31757, -31432, -31107?\n\"Answer: 325*s - 32407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 0)*(-2*y**2 - 3 + 3).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -404400013 (base 5) in base 11?\nAnswer: -a19314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by -1141.\nAnswer: -162\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 28 + 14*b - 24*b + 8*b to the form r*b**2 + z + f*b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -28 + 22 + 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 49, 48, 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -37 + (-230)\/(-10) + -16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/8 - 7\/72. Which is the closest to -2\/3? (a) 1\/2 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 5*x - 1. Let p(s) = -4*s**2 + 11*s - 3. Suppose -15*f - 2428 = -2368. Calculate f*p(b) + 9*o(b).\nAnswer: -2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 60. Suppose -2*q + 5*g + 11 = 0, 0 = -3*q - 4*g + v. Calculate the remainder when 53 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 28 = 17. Let t = l - -7. Suppose 8 = -3*y - 1. What is the third smallest value in y, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 338 + -314. Let r = 18 - z. Let t be 70\/(-49) - 1*-2. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104e (base 15) in base 8?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-144)\/(-4 + 8)*6\/(-4). Let f = 55 - c. What are the prime factors of 4 - 5 - (-19)\/(0 + f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 18) + (10 - 1) - (-77 - -82).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -86 (b) 0.4 (c) 0.22 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 8. Let l be z(-11). Suppose 195 = 4*r + 3*s, 3*r = 2*s + l*s + 110. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*j - 130*j - 51578 = 127*j for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25619\/36 - 2867\/4. Let o = 8 - 5. Suppose -o*b - 48 = 24. What is the common denominator of p and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(-4*sqrt(112)))**2.\nAnswer: 25\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*w + 47, -4*o - o - 3*w = -135. Let y = -394 - -570. Let t = -175 + y. Sort o, 0, t, 5 in increasing order.\nAnswer: 0, t, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 - 264*t**2\/5 - 51*t + 522\/5.\nAnswer: -3*(t - 1)*(t + 2)*(t + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 19 (b) -2 (c) -11 (d) -5 (e) 0.0887 (f) -4 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185929013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(192))**2 + sqrt(27)\/(-2*(sqrt(9)*2 - sqrt(9))).\nAnswer: 127*sqrt(3)\/2 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -1\/11 (c) -3\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2113*a*q + 2*a + 725 wrt q?\nAnswer: 2113*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 23. Suppose 3*x = 4*a + u - 196, -2*x + 10 = 0. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21928589 and 459123.\nAnswer: 460500369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 11*v**2 + 6*v. Let j(g) = -g**3 - 12*g**2 - 6*g - 1. Let m(p) = -5*c(p) - 4*j(p). Let u(y) = y**2 + 5*y - 6. Let s be u(-5). What is m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (-6 - (-9 + 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/11565 and 73\/38550?\nAnswer: 115650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(224)\/(sqrt(288)*5))\/(-6*((sqrt(324) - -3*sqrt(324)) + sqrt(324))))**2.\nAnswer: 7\/4100625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104501 = 2*n + t - 146832, -2*t - 251348 = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a - 0*a. Suppose 0 = -4*p + 2*h + 16, 13 = 3*p - a*h - 9. Solve -4 = z - 3*s, -z + 14 = s + p*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -904, -903, -902?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -44. Suppose -z = -n + 15. Suppose -5*g - 9 = -n. Solve -17 - 8 = -5*k, -5*m - 20 = -g*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(1900) + sqrt(1900)*-2 + 4 - (-4 + sqrt(1900) + sqrt(1900) + -2 + sqrt(1900))) + -3*(sqrt(1900) + 3 + sqrt(1900) + 0 + sqrt(1900))))**2.\nAnswer: -9360*sqrt(19) + 11559636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137639597*m*v**3 - 252561475*m*v**2 + 2*v**3 wrt v?\nAnswer: -825837582*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1213, 1255, 1381, 1657, 2149, 2923?\nAnswer: 4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/5)\/(((-180)\/(-50))\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 1815*r + 19602.\nAnswer: 3*(r + 11)*(r + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -36*m - 4. Let x(i) be the second derivative of 215*i**3\/6 + 25*i**2\/2 - 935*i. Determine 25*j(h) + 4*x(h).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -12 in ascending order.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j, 0 = -5*u + 5*j - 7*j - 125. Let o be ((-20)\/u - 2)\/((-9)\/30). Calculate the remainder when (36 - 2) + (o + -3)*1 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 47634*t - 47632*t + 31 = 0, t = -l - 12 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) + 3353\/(-84). Which is bigger: a or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779, 1558, 2337?\nAnswer: 3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -12 - (13 + -17)) + 52\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -658 divided by -3?\nAnswer: 658\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/19450 and 101\/348160?\nAnswer: 677171200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Solve 0 = -c - 2 - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/64*((-14)\/(-35))\/(-1*(-3)\/45)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 16*g**2 + 40*g - 9. Let o be (6\/(-9))\/(320\/(-156) + 2). Let y be j(o). Solve -18 = -4*h - y*z + 5*z, -2*z = -3*h + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/90 and -86\/3706227.\nAnswer: 37062270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 817 and 7353?\nAnswer: 7353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 44 = -7*t. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3\/2, -0.22, 25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 12*h - 86. Let r(c) = -c**2 + 15*c + 2. Let t be r(h). Is 2 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/24 - 15412\/72. Let v = l - -214. What is the biggest value in 4, v, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4565*j + 4416*j = -3129 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2507, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 0.2 (b) 4 (c) -5 (d) 45 (e) -100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708398949 to the power of 1\/2, to the nearest integer?\nAnswer: 41333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -26 + -17 + -2 + -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 2 e when four letters picked without replacement from {x: 5, e: 4, y: 5}?\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + 5)*-4.\nAnswer: -4*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 897645 and 5631135?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50696, -202716, -456086, -810806, -1266876, -1824296?\nAnswer: -2483066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-168)\/(-98) + (-27)\/(-21) + -1. Solve -3*y - d + 6 = 0, y + 0*y = 2*d + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -9.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 0. What is the remainder when 49 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 75282, 150569, 225856, 301143, 376430?\n\"Answer: 75287*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(0 - (-2)\/2). Let w be 3*1*(-1 - -2). Solve b = t + w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2108789, 2108883, 2108977, 2109071, 2109165, 2109259?\nAnswer: 2109353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 31. Let z be (-9)\/j*(-2)\/(-3). Let w = 0.2 - 0.2. Which is the closest to 0? (a) z (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435 + 849. List the prime factors of t.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/110 and -43\/257070.\nAnswer: 257070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*m + 23817627 = -15791672. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 2*o + 15. What is k(7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**3 - n**2 - 10*n + 17. Let m(u) = u**3 + u**2 + 1. Let f(g) = h(g) - 6*m(g). Let b be f(8). Is b\/(15\/(-6)) - -8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -8. Calculate the common denominator of -99\/4 and 18\/22 - (-22)\/i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*i - 2*i + 2*b, 10 = 2*i + 2*b. Suppose i = -14*f - 7 + 35. Solve -2 = -j + f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/882 and 83\/1014.\nAnswer: 149058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*90926.\nAnswer: 454630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4473882 to the nearest integer?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-4)\/1 + 274. Suppose h = 3*m + 40. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -39c40?\nAnswer: -39c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 smaller than -134\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(0 + -1)*1. Let j(n) = n**3 - 3*n**2 - 3*n - 9. Let a be j(4). Let z = o - a. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1398 * -7645\nAnswer: 10687710","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 81. Suppose 0*z + 18*z - 4482 = s. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -40, -13 in decreasing order.\nAnswer: 5, 2, -13, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(22\/(-165))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 3*r**3 - 3*r + 3*r + 664.\nAnswer: 2*r**3 + 664","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27873006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.7 (b) 55\/12 (c) 1549 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 556 = -997. Let d be ((-18)\/b)\/((-102)\/56 + 2). Determine m, given that d*m**3 + 8\/5 - 8\/5*m - 6\/5*m**2 - 2\/5*m**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -5\/13 (c) 4 (d) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b76eb + -c6?\nAnswer: -1b77c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -89.3269.\nAnswer: 89.6269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -7, -10, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmmmmmt. Give prob of picking 2 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = -15*v + 9361. Let d = 255 - v. Calculate the remainder when (7 + -4)\/((-3)\/(-4)) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 149*d**6\/10 + 53*d**4\/12 - d**3\/6 - 2*d - 46. What is the third derivative of c(y) wrt y?\nAnswer: 10728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5138 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 8:14 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596 + 614 = 18*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650058 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13791695 divided by 13861?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-6\/17)\/z*z))\/z**38 assuming z is positive.\nAnswer: z**(-606\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 484.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 7*f**6\/15 + 21*f**2\/2 - 25*f - 18. Let m(s) be the first derivative of d(s). Find the first derivative of m(k) wrt k.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 37459.\nAnswer: -1\/37459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 31, 3, -3 in ascending order.\nAnswer: -3, 3, 16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w)\/w*w*((w\/(w*w*w*w*w**(-2\/17)*w))\/w)\/w*w*w**3*w**(1\/3) assuming w is positive.\nAnswer: w**(-181\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 7*g + 2*g + 8*g**2 - 6*g - 3*g. Let w(k) = 10*k**2. Give s(w(b)).\nAnswer: 800*b**4 - 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 0) + (84 - 78).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-28)*-2)\/(2\/(-21)). Find q such that 995 - 990 + 10*q**2 + 3*q - j*q = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 93*g**2 + 46*g + 54. List the prime factors of l(30).\nAnswer: 2, 3, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:40 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -454 greater than -32331\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 20. Let y = 1640.6 - 1641. Which is the smallest value? (a) s (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5 - 57816*l**4 - 95126316*l**3 - 53572448792*l**2 - 10125754264290*l = 0?\nAnswer: -27195, -571, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 92, 278, 622, 1154?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 908321*z**4 - 7*z**3 - 2*z - 123919158.\nAnswer: 3633284*z**3 - 21*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(6\/8) + 0. Solve -z = n - 1 - 0, 0 = -t*z - n + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:04 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60, -56, -66, -102, -176?\n\"Answer: -2*u**3 + 5*u**2 + 3*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27342 and 241862?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (9168 - 9201).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11553350, 23106696, 34660042?\n\"Answer: 11553346*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c + 82. Let u(h) = -4*h - 27. Calculate -2*i(a) - 7*u(a).\nAnswer: 2*a + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 4*y + 1, -4*c + 3*y = -80. Suppose 0 = 4*m - c - 59. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 25*g. Let h(r) = -49*r. Determine 3*h(x) + 5*o(x).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 3*j + 5. Let w be 2 - (2 + 0 + -2)\/2. Let h(i) = -i**2 - i + 2. Let u(b) = w*c(b) - 5*h(b). Factor u(m).\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:30 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, h: 4}. What is prob of sequence hh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 1:04 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 23*r + 1. Let d(z) be the first derivative of -20*z**2 - 1144. Determine v(d(x)).\nAnswer: -920*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*r**3 - 5*n**3*z**2 - 6*n**2*z**2 - 19272*r**3*z**2 - 11*r**2*z - 5*r + 2 wrt r?\nAnswer: -6*n**3 - 115632*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001966317529 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -510, -764, -1018, -1272?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725 - 67*b**2 - 725.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*h + h. Let v(d) = d**h - 3*d**2 - 2 + 2. Let o(y) = y**2. Determine o(v(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v*v*v**(1\/8)*v))\/v)\/v*v**(-11\/4)*(v*(v\/(v*v**5))\/v)\/v**12)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 3*z)*(-1 + 6 - 2)*(5 + 1 + 0).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-3)\/((-3)\/3). Let m be (c\/(-3))\/(1\/6). Let n(p) = p + 17. List the prime factors of n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.24 + 34. Let x = 0.63 - w. Round x to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*3)**2 + sqrt(275))*2.\nAnswer: 10*sqrt(11) + 4950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2993 - -3103. Is 107 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/371?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5486 and 124271615?\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 8*v**2 + 14*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 128?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4712913*j**2. Let a(d) = 17*d. Determine h(a(z)).\nAnswer: -1362031857*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1083?\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1596761.\nAnswer: 479028.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 4, v: 2, i: 1, p: 3}. What is prob of picking 2 g and 2 p?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(171) + (-2*sqrt(171) - sqrt(171)))*6 + sqrt(171) - sqrt(171)))\/(4*2*sqrt(324)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -5\/27*t**3 - 1\/27*t**4 - 80*t**2 + 1\/270*t**5 + 0 + 0*t. Factor g(z).\nAnswer: 2*(z - 5)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:59 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58554 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/2520 + m**5\/30 - m**4\/24 - 9*m**2. Let u(t) be the third derivative of g(t). Let z(o) = 2*o**2. What is u(z(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -6. Let d = 3 + f. Let b(l) = 6*l - 4*l**3 + 3*l**2 - 2*l + 4 + 5*l**3. Calculate b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16751512?\nAnswer: 2, 97, 21587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-7)\/(21\/6). Calculate the highest common factor of n and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*t + 206 = 0, 60 = p - 4*t + t. Calculate the remainder when 68 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 167840?\nAnswer: -3\/33568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let t(z) = -1. Let s(u) = -22*u - 2. Let n(l) = -s(l) + 3*t(l). Give j(n(w)).\nAnswer: 484*w**2 - 44*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4 - 7) + (-2224)\/(-80))*300 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141948?\nAnswer: 2, 3, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*b - 1)*(2*b**3 + 11*b - 9*b - 37*b).\nAnswer: -4*b**4 + 70*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 5)*(-3*y + 0*y + 0*y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 3, -5116604, -5 in decreasing order.\nAnswer: 3, 0.3, -1, -5, -5116604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -5*sqrt(468)*-2*-3*-2)**2.\nAnswer: -1440*sqrt(13) + 1684804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 695 - 631 = -0*h. Let o(m) be the first derivative of 1\/2*m**2 + h + 0*m. Let v(p) = -60*p**2. Give o(v(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 6*v**2 - 8*v - 6. Let s be o(-4). Let l be (4\/s)\/(94\/(-705)). Factor -8\/3*n**4 + 0*n**2 + 8\/3*n**3 + 2\/3*n**l + 0 + 0*n.\nAnswer: 2*n**3*(n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*b - 1685*b - 2351*b - 2072*b + 746*b.\nAnswer: -4606*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-3 - -1) + 11) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, s: 2, q: 2, f: 2, z: 5}. What is prob of picking 1 q, 1 y, and 1 f?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 + -1)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*4*(sqrt(1100) + sqrt(1100) + 1))**2 + 4 + (-5 + 0 + sqrt(1331) - sqrt(1331)) + sqrt(1331))*5.\nAnswer: 28855*sqrt(11) + 3168715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 8385.\nAnswer: 167700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**2\/2 + 17*n + 6. Suppose 0 = 4*u - 5*z + 1, -z = -2*u + 3*u - 11. Calculate the remainder when s(7) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*g - 34, 2*g - 3*l - 11 = -2*l. Let m be ((-26)\/(-8) + -2)*4\/1. Solve h + g*t - 11 = m, 21 = h + 4*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from forfsrsgfolffoooffo. What is prob of sequence lf?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1186, -6785, -21982, -51577, -100370, -173161?\nAnswer: -274750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 569746*v**2 - 548*v - 547. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567473798 + -5\nAnswer: 567473793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0 - -24) + -29 + -5 + 39 + -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5994 = 5*w + 5958, l + w = 8. Let o(a) be the third derivative of 24*a**3 + 0*a - 14*a**2 + 0 + 1\/15*a**5 - l*a**4. Find u, given that o(u) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*x - 30 = -3*b, 3*b - 2*x = 45. Let i = 26 - 23. Suppose 0 = 3*v - b + i. What is the smallest common multiple of 18 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y**2 - 12*y - 5. Give g(4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 2, u: 1, c: 1, o: 6, i: 5}. Give prob of sequence oo.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 5*t**3 - 8*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-242)\/(-10) - (-24)\/30 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2544.50027642 - 2544.5. What is a rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(9)\/(sqrt(15)\/sqrt(5)) + sqrt(216)\/sqrt(8) + 1 + sqrt(27) + 4 + 4)*-4.\nAnswer: -28*sqrt(3) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*y + 4 = y, 2*x + 5*y = 8. What is the first derivative of -4 - 2 + 13 + 8*r + x*r wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ais when three letters picked without replacement from {a: 1, w: 6, o: 11, s: 1, i: 1}?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwiwiiwiwiiwwwiw. Give prob of sequence wwiw.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/648 and -23\/792.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-27) + (-4)\/((-120)\/(-26)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 32736656*c - 66980540378896.\nAnswer: -4*(c + 4092082)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2\/5 - 162*q\/5 + 2187\/5 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68a4 - -26?\nAnswer: 68ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 25*z - 92. Suppose -10*h + 15*h = -4*k + 40, 3*h + 3*k = 27. What is a(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5))**(4\/13))**(8\/7))**(5\/4) assuming a is positive.\nAnswer: a**(-200\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10332 is divided by 70?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(2*sqrt(192) + sqrt(192)))\/sqrt(12))\/(sqrt(8) + sqrt(288)*3 + (sqrt(288)\/sqrt(6))\/sqrt(6)).\nAnswer: -27*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -107724.965 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -40847.958 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 6*x - 152. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/7)\/150)\/((-248)\/(-930))?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*u + 1 - 7, -2*q = -5*u - 16. What is the remainder when (-27)\/(q\/(6\/3)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 19*b + 1187 - 1167, -b - a - 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/7 + 137*c\/7 - 402\/7 = 0 for c.\nAnswer: 3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 4*r + 3. Let s(f) = -f**2 + 3*f + 2. Suppose -2*x + 3*o = 3, -2*x + 4*o = 3 - 1. Determine x*i(a) + 4*s(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**4 + 2*g**3 + g**2 + 2*g. Let p(n) = 9*n**4 + 136*n**3 - 329*n**2 + 16*n + 452. Let v(l) = -p(l) + 10*u(l). Factor v(f).\nAnswer: (f - 113)*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 0, -p + 5*p = -h + 640. Let v = p + -60. Suppose x = -7 + v. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -74?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 189*r + 1545. Give b(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 2 + 2 + (2*y**2 - y**2 - 2*y**2)*(4*y + 5*y - 4*y) - 2*y**3 + 0*y**3 + y**3 + 22*y**3 - y**3 - 3*y**3 as t + c*y + k*y**2 + z*y**3 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 8:58 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624 and 59352?\nAnswer: 1543152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*g + 623*g + 674*g - 1965*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007172 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195352453.\nAnswer: 71, 73, 37691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170588376 by 56862792.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 469*z - 1968 + 1968. Let m(y) = -y. What is m(i(u))?\nAnswer: -469*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = 8*g. Suppose -5*m + b - 1 = 4, 3*b = -g*m + 15. Sort -4, m, 1 in descending order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5476.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392 + -67. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-15) + 6132\/90. Suppose 6*g - g - x = -3*q, -2*g + 4*q = -48. Suppose -g = -4*a + 24. Calculate the greatest common factor of a and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10220*h + 0*h**4 - h**2 + 5 + 3*h**2 - 2*h**4 + 1 + 10218*h - 2*h**3 as o*h + w*h**4 + p*h**2 + d + q*h**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2035 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14203, 13489, 12779, 12073?\n\"Answer: 2*x**2 - 720*x + 14921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z + 16. Let m(a) = 16*a + 34. Let x(w) = -9*g(w) + 4*m(w). Suppose -3 = n - 12. What is x(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*p + 3. Let u be (2 - -1) + p - 4. Solve -3*r + 1 + 2 = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 677.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1512*j - 2. Let f(x) = x**2. Determine f(r(n)).\nAnswer: 2286144*n**2 - 6048*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33645*k = 33922*k + 9141 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -23*c + 3. Let u(b) = -b**2 + 63*b - 443. Let z be u(8). Let i(p) = -345*p + 46. What is z*i(d) + 46*f(d)?\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17973\/4 - 4472. Calculate the common denominator of 1\/(-3) - (-277)\/(-60) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/4))**(-1\/86)*(((r\/r**0)\/r)\/r)**(-18) assuming r is positive.\nAnswer: r**(6189\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/3 + 8\/(-12). Suppose 2*i = -u + 6, -u + h*u - 2 = i. Suppose 0 = -i*j - 0*j + 20. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b**3 - 4*b**2 + b**2 + 3*b**2 + (-7 + 1 - 5)*(-b**3 + 2*b**3 - 4*b**3) to the form k*b + v*b**2 + h*b**3 + o and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + -3 + 13 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.137 in 0.3, 5, 596, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 561 + 1281 = g, 4*k = 4*g + 2440. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2909914 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 2*i + 10. Calculate o(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2047123233 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13127461, 26254929, 39382393, 52509853, 65637309, 78764761, 91892209?\nAnswer: 105019653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186\/5 + -37. Which is the smallest value? (a) -3\/7 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 20 + 10)*(-r - 1 + 1)*(124*r + 35*r + 37*r) to k*r + h*r**2 + x and give h.\nAnswer: 3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81820.\nAnswer: 2, 5, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.1. Let v = -337.4481 + -0.0519. Let s = v - -337. Which is the second smallest value? (a) o (b) 2 (c) 0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 14 + 91. Let b = -69 + 81. What is the remainder when s is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 0*f**2 + 20*f - 3\/5*f**6 + 3\/2*f**4 + 0*f**5 + 0 + 0*f**3. Find the third derivative of z(i) wrt i.\nAnswer: -432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1 + 2)**2 - (-5 + sqrt(3) + sqrt(36)\/sqrt(3)).\nAnswer: -47*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3493 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93, -187, -281, -375, -469, -563?\n\"Answer: -94*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (21 - 12) - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most as big as -606\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 15*z - 27*z)*(6 - 3 - 4).\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 2, -8, 0, -732, 4 in increasing order.\nAnswer: -732, -150, -8, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.809*2.\nAnswer: -9.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**3 + 92691082*r**2 + 88097890 wrt r.\nAnswer: 6*r**2 + 185382164*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/36 and 103\/71808.\nAnswer: 215424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 766*k - 61849. Give v(94).\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*2682\nAnswer: -536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33667 >= 33740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -0.3 (b) -4\/193 (c) -6\/5 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = b. Suppose 2*d - 2*d + 3*d = 0. Let h = d + b. Let f(j) = j**2 + j - 1. Give f(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 2940?\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 432*y**3 + 7*y - 1295*y**3 + 431*y**3 - 5 - 2*y**2 + 431*y**3. Give d(4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21\/w**(-15) assuming w is positive.\nAnswer: w**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 6*z + 6496, -4*q = -7*q - 2*z + 3892. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 25 = 5. Let g be (-62)\/f*15*5\/(-10). Suppose -2*b + 105 = -g. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30801, -123412, -277767, -493866, -771709?\n\"Answer: -30872*n**2 + 5*n + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l - 10. Suppose -38 = 4*k - l*c, -k - 4*k + 4*c = 40. Let t = 3 - k. Calculate the remainder when 43 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834894 to the power of 1\/2, to the nearest integer?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*o**4 - 10*o**3 + 10*o**3 + (0*o**4 + 5*o**4 - 2*o**4)*(7 - 3 - 2) + 15 - 15 + 27*o**4.\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 46. Let z(o) = 6*o - 6. Let k(b) = 7*b - 7. Let m(v) = 4*k(v) - 5*z(v). Let u(s) = -4*s + 5. Give i*m(q) - 4*u(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:49 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = -h. Suppose x = -h*x + 33. What is the remainder when 41 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-6))\/(-3 + 5716\/1908). Suppose -27*u + j = -26*u. Is u a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/o)**(-48)\/(o**16*o**(4\/11)\/o) assuming o is positive.\nAnswer: o**(725\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*b - 6*b + 24, 0 = 5*b. Find the second derivative of -39*v + 2*v**5 - 10*v**4 + 15*v - t*v wrt v.\nAnswer: 40*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(-2) + 10. Let p be 1\/z*-2*-1. Let y = 15.3906 - 15.8906. Which is the smallest value? (a) 2 (b) y (c) p (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from {k: 5, r: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 - 120*u + 446. Let f be p(4). Solve -68*y + f*y = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*i - 159401 = 20079. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 22 - (26 + -50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20799*l + 18799. Is q(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 g when four letters picked without replacement from {w: 9, g: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a micrometer in nanometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -4. Let o be 24\/t*6\/4. Sort -4\/7, o, 1\/3 in increasing order.\nAnswer: -4\/7, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-13) + 2 - (-1184340)\/260 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 677 = -3*j + 36, 0 = -j - y + 235. Let f = 3 - -11. What is the remainder when j is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2174071 kilograms in milligrams?\nAnswer: 217407.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/28 and 23\/30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (182 - 171) + -4 + -1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*y - 9, 26*a - 21*a = 3*y - 24. Suppose y*k - 5 = 1, -4*k - 142 = -g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/30*-10*88\/(-165)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/5 + 4\/(-10). Let y = -1 + s. Let i(b) = b**3 + 2*b**2 - b - 1. Give i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from sssssssjjs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 32\/7 (b) 0.5724 (c) -2\/3 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -147 and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5300 - -4045. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b - 3. Let o be j(0). Let a = o - -5. Let v be 0\/a + -1 - 2. What is the nearest to v in -1, -1\/3, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474, 941, 1406, 1869, 2330?\nAnswer: 2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (8 + 11 + -9 + -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.01769\nAnswer: -0.007076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(8 - 6 + 2)*(0*z**3 + z**3 + z**3) + (z - z**2 - z)*(z + 0 + 0) - 6*z**3 + z**3 + 3*z**3 + 1 + 2*z**3 - 1.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, 4, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44186757 + 13*z**3 - 44186757.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 2*v + 778. Let t be h(0). Suppose 19*k - t = 17*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72534016, 145068032, 217602048?\nAnswer: 290136064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 4*u + 4. Let j be h(4). Factor 3*v**5 - 3*v + j*v**2 + 6*v**4 - 16*v**2 + 6*v**2.\nAnswer: 3*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18970045 divided by 223177.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2791 - -3908. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4743?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**3\/k*k)\/k)**(-42)\/(k**(-1\/3)\/(k*k**(-4)*k)))**(-2\/59) assuming k is positive.\nAnswer: k**(514\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -15 + 13 + 26 - 60.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 481.0103686\nAnswer: -482.0103686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61131 and 568?\nAnswer: 489048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1505 divide 20942304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -199*t + 1588. Let n be q(8). Which is the nearest to 0? (a) -2\/19 (b) n (c) 7 (d) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a - 1\/15*a**5 + 0 - 2*a**2 + 0*a**4 + 0*a**3. Let y(p) = -p. Give y(g(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 3504*a + 8066210.\nAnswer: -2*(a - 3067)*(a + 1315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1275 + 1277. Solve 0 = -4*u + 5*n, u + y = n + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 608 + -609. Let u be (-133)\/(-133) - 1*2*o. Solve -7 = -2*v - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 642, 1457, 2608, 4101, 5942?\nAnswer: 8137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 0.023, 323 in ascending order.\nAnswer: -5, 0.023, 0.3, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 402 or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 3*l**2 - 5 + (-l - 18*l - 9*l)*(2*l + 3*l - 3*l) + 3*l**2 - 4*l**2 + 3*l**2.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-7)\/168*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9406261*k**2*o**3*y - 82*k**2*o**2 + 65*k**2*o*y - 131*k*y - o**3*y wrt o?\nAnswer: -56437566*k**2*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 1134800?\nAnswer: 1134800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*y - 55, -y + 2 = -1. Let b = 13 - w. Suppose -b*g = -0*g - 565. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 2. Let a = -8 - s. Put 0, -2, a in descending order.\nAnswer: 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akda when four letters picked without replacement from deededaeeaadk.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41137 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12302 divided by 5.\nAnswer: 12302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/12 - 12*m. Let t(g) = -6*g - 8. Let y(j) = -2*j - 3. Let w = -4 + 1. Let n(i) = w*t(i) + 8*y(i). Give n(d(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.982 - 3.072. Which is smaller: u or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*b**2 + 20*b**2 - 6*b + 4*b + 26 - 29 - 2*b**3 as m + l*b**3 + o*b**2 + i*b and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*m - 14 = -10, -3*g + 4*m + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -394 or -3559\/9?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/10500 and -83\/630.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + -1000?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 8*o + 0*o**2 + 2 + 4*o - o to the form r + j*o + b*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/2 - 339*p**4 + 6697*p**3\/2 - 5682*p**2 + 2672*p = 0.\nAnswer: 0, 1, 8, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4376, 8758, 13140?\nAnswer: 17522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 70209 divided by -87\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b8c - -5?\nAnswer: 1b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.29995 rounded to 2 decimal places?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*i + 23028, -272*i = 3*h - 273*i - 23004. List the prime factors of h.\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5325 - 5314. Solve -14*h + 10*h - z = -3*k, 7 = -3*h + k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaacczzzcazcczzz. Give prob of sequence aza.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/306)\/(1667\/16670)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*m + 54, -7*t = -3*t + m - 108. Let q be (-3)\/(t\/(-20)) - (-10)\/(-45). What is the third derivative of -2217 + 23*a**5 + 15*a**q + 2217 wrt a?\nAnswer: 1380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6688260 and 0.4.\nAnswer: 2675304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - (-5 - (-22)\/4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/30 + 101*j**4\/6 + 67*j**3 + j**2 + 39*j + 8. Factor i(z).\nAnswer: 2*(z + 1)*(z + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/1)*84\/28)\/((-576)\/(-13056))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 5*z + 6. Let a be i(-6). Suppose -2*n = b - 3, 12 = -a*b - 4*b. Suppose n = 4*d - 5, -2*l - 2*d = -28. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 2*z - 36 = 0. Find the third derivative of 31*g**z + 85*g**5 + 2 - 12*g**2 + 17*g**5 wrt g.\nAnswer: 6120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 107. Let f = l + 84.664. What is f rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 20*k = -5*j - 10, 5*j = 5*k - 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12126791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a - 2*a)*((0 + 1 + 1)*(0 + 2 - 5) + 2 - 4 + 1).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30810601870 rounded to the nearest one million?\nAnswer: -30811000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84092*w**3 - 38736?\nAnswer: -252276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2062928 divided by -2062928\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 529\/69)*-1. What is the closest to 1.9 in 0, t, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/4 + 181*n**2\/4 - n\/4 - 181\/4 = 0.\nAnswer: -181, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6356331 by -5081.\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 times -0.1\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 4*o**3 + 0*o**3 + (-2 + 2 - 2)*(-4*o**3 - o**3 + 3*o**3) + 6*o**3 - 3*o**3 - 4*o**3 - 3 as v*o**3 + m*o**2 + h*o + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/79? (a) -21\/11 (b) -1 (c) -9\/7 (d) -0.3 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*q - 3. Let w be (3*-2)\/(q\/2). Find the first derivative of 2 - f**w - 4 + 3*f**4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 1. Let o be u(-2). Let i(x) = x**3 + 2*x**2 + 7*x - 61. Let p be i(6). Let b = 277 - p. Solve -23 = -o*g - b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 8, -13, -42, -79, -124?\n\"Answer: -4*b**2 - b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i**5 + 17696*i**4 - 44508*i**3 + 36788*i**2 - 11156*i + 1116 = 0. Calculate i.\nAnswer: -279, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 0, -i + 5*i - 228 = 4*q. Suppose 105 = -4*k - i. Let j = k + 57. Calculate the remainder when j is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a - -171?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9510 + 4755 - 2043*o**3 + 4755.\nAnswer: -2043*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*k = 630, 322*k + 249 = 2*f + 321*k. What is the greatest common factor of 14213 and f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153)*-1 - sqrt(153)) - (sqrt(153)*1 + -1).\nAnswer: -9*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 468*n**2 + 8*n. Let w be i(-5). Let q(l) = w - 11660 - 4*l. Let t(s) = 7*s**2. Calculate q(t(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + -5*sqrt(95))*-1)\/(sqrt(480)\/sqrt(6)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 26424490.\nAnswer: -2\/13212245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b - 75a?\nAnswer: -6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 - -5 - (-4 + -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*m - m. Let a be (-92)\/m + (-6)\/10. Suppose a*s = 9*s - 635. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h. Determine i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9506374 or 9506377?\nAnswer: 9506374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.666564 millimeters?\nAnswer: 666.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 15) to base 11.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and -143\/163241244.\nAnswer: 816206220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214661670?\nAnswer: 2, 3, 5, 31, 230819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -65. Suppose m = n - 10. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 - 3*o + 13. Let x(h) = -13*h**2 - 10*h + 52. Let l = -195 - -204. Let k(q) = l*y(q) - 2*x(q). Calculate k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose 2*i - 12 = -l*h + h, 2*h = -4*i + 18. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycyyyyycccy. Give prob of sequence ycy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:43 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 33*j + 95. Does 19 divide h(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385905\/239 - -4844\/3. Is 1 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11315435 (base 6) to base 8\nAnswer: 1260317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 3*t**2 + t - 4*t. Let f be 3*(3 + (-1 - 39\/9)). What is the hundreds digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2 + 5. Let d(x) = -x - 6*x**r + 12 + 7*x**2 - 18 + 3*x**3. Let g(s) = -2*s**3 + 7*s**2 - s - 5. Let l(j) = 3*d(j) - 4*g(j). Determine l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = i + 40, 4*i = -8. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 1:48 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 - 114 - 99 - g**2 - 370*g.\nAnswer: -g**2 - 370*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -2\/11, 3 in increasing order.\nAnswer: -5\/6, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r - 5*k + 1575, 5*r + 3*k - 1569 = 0. What is the highest common divisor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -176853, -176855, -176857?\n\"Answer: -2*f - 176851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54)\/216)\/(1\/(-2))*2. Sort t, 19, 0.\nAnswer: 0, t, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4542 is divided by 76?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4\/51, -1\/4, -2, 0, -0.4?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -1, 32, -4.\nAnswer: -4, -1, -1\/2, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3 less than -3087.39983227?\nAnswer: -3109.69983227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4542610 and 3179827.\nAnswer: 31798270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*k + 42, 2*k - 26 = -2*h - 2. Let w(z) = -2*z**2 + 23*z - 42. Let c be w(h). Sort c, 10, 0 in ascending order.\nAnswer: 0, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793629230 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 54219+-244\nAnswer: 53975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 57*v + 649. Calculate j(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10. Let x(d) = m*d + 0*d**3 - d**3 - 2*d - 9*d**2 - 12. Let g be x(-9). Solve 6 = -4*b - g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + 25. Suppose 5 = f*p - 15. Suppose -4 + 28 = p*o. Solve 2*q + o = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44336 is divided by 434.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11\/3 (b) -4 (c) 4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 362 = -210. Let n(j) = j**2 + 16*j - 60. Let u be n(o). Is u greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10371, -20680, -30989, -41298, -51607?\n\"Answer: -10309*r - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4190*g - 4181*g - 9 = 0. Which is the smallest value? (a) -0.5 (b) -55 (c) 3\/8 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose 6*r - a*h = 2*r + 17, 4*r = 2*h + 18. Solve 2*b + 12 = -0*j - j, 0 = -r*b - 5*j - 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8106054 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10767632*f**3 - 3534574*f**2 wrt f.\nAnswer: -64605792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 53.1?\nAnswer: 3.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 - f + 6. Let q(r) = -17*r**2 + 7*r - 6. Let o(p) = -17*p**2 + 8*p - 5. Let b(a) = 5*o(a) - 6*q(a). Give -6*b(s) + 11*z(s).\nAnswer: -3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1215 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.19 times 21\nAnswer: -45.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w. Suppose 0 = 7*x - 4 - 3. Determine b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjrvrrjrrrddrrrd. What is prob of sequence vjjd?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**7\/14 - a**6\/24 + 337*a**3\/6 + 446*a**2. Find the first derivative of v(s) wrt s.\nAnswer: -60*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177390763?\nAnswer: 11, 2473, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -63800*u - 125. Let s(x) = -2058*x - 4. What is -125*s(q) + 4*v(q)?\nAnswer: 2050*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d - 29*d**3 - 16*d**3 + 3*d + 10*d**4 + 75*d**3 - 4*d**2 - 31*d**3 + 86 wrt d.\nAnswer: 120*d**2 - 6*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 minus -0.088?\nAnswer: -48.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*h - 88, 2*h = p - 12 + 1. What is the remainder when 150 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbubqhjqjbbhuuqhbb. Give prob of picking 2 j and 1 u.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 543. Let s = k - 524. Solve 2*g - c - 1 = 0, -g + 4*c + s = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 371884256 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -87, -135, -185, -237?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1577*s**6 - 2038*s**5 + 3*s**2 - 10456*s + 9 wrt s.\nAnswer: 189240*s**3 - 122280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 0.4471?\nAnswer: 1.5529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**7\/10 - 133*g**6\/120 + 271*g**5\/15 - 3855*g**2. Find the third derivative of u(a) wrt a.\nAnswer: -504*a - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + 5*g**5 + (-3*g**2 + 2*g**4 + 3*g**2)*(12*g - 15*g - 46*g) + 61*g**3 - 61*g**3 - 6*g**5.\nAnswer: -101*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, 1 u, and 1 g when four letters picked without replacement from {y: 1, f: 2, r: 1, u: 3, x: 1, g: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -27*t + 2. Let x be y(-1). Suppose -3*u = -4*h + x + 115, -3*h - u + 121 = 0. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*3106\nAnswer: -1242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.06 and 29?\nAnswer: 27.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 31*o**2 - 23*o**2 + 54*o**2 + 0*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131731 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-546)*(-26)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*j**2*w**2 - 96*j**2 - 2*j*w**2 + 63897*j - 4*w**2 wrt j.\nAnswer: -58*w**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*s**3 + 226745*d**2*s - 442630*d*s**3 + 17*d - 3*s**3 wrt s.\nAnswer: 6*d**2*s - 2655780*d*s - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -5, 0.15, 0.07, -2\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s**3 + 69*s**2 + 10*s - 54. Let z(i) = 3*i**3 - 14*i**2 - 2*i + 11. Let p(o) = -2*g(o) - 11*z(o). Is p(16) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 100101?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-5)\/(-4) - 230051\/(-164)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11548, -23106, -34664, -46222, -57780, -69338?\n\"Answer: -11558*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2536 is divided by 84?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1035 - 1023.77. Let x = -5.94 + g. Let y = 0.49 - x. Round y to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -783, -1, 92, -0.3.\nAnswer: -783, -1, -0.3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*h + 249*h**2 + 15*h + 12*h as z + t*h + w*h**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + ((2*sqrt(612) + -2 - sqrt(612)) + (sqrt(612) + 4 + -1 + sqrt(612) - sqrt(612)))**2.\nAnswer: 24*sqrt(17) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*g + 59 = -0*h, -h + 3*g + 27 = 0. Suppose 4*j = j + h. Let l(c) = 4*c**3 - 4*c**2 + 2*c. Let s be l(2). Solve j*x = x - s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.104 and 6?\nAnswer: 5.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10130, 20273, 30418, 40565, 50714, 60865?\nAnswer: 71018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4476\/597421?\nAnswer: 4476\/597421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/2655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*-2*58\/8. Let o(y) = 2*y - 1. Let k be o(1). What are the prime factors of (-5 - -3)*k + p?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1143\/5440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2. Let g be (-2)\/6 - 75\/(-9). Let o(h) = 2*h + 3*h - 12*h + g*h. Give o(q(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 5. Let i be x(5). Suppose 3*c = -i + 166. Let r = c + -28. Solve -3*n = r - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2*1*(-8)\/4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l. Let p = 59 - 56. Let s(m) be the third derivative of 1\/8*m**4 + 0*m**p + 0*m - 3*m**2 + 0. What is n(s(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/(-394)*(-1643)\/265)\/(-3 - -1) and -51\/985?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 27 = 3*m + 4*b, 4*m = -b - 51. Put -1, 1, -5, m in descending order.\nAnswer: 1, -1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (123\/(-18))\/(17 - (-202)\/(-12)). Put 17, -1, h in ascending order.\nAnswer: h, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 2585\/93?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 142*u - 288. Determine c(-144).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11668 (b) -32 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-3)\/18*0. Solve s = w + 3 - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 20. Let t(j) = 5*j**2 + j. Determine t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 - 6*r**2 + 976*r - 3862. Calculate u(4).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m. What are the prime factors of c(3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (4 - 1)) + (12 - -9 - 13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2009.918 - -2012. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 5. Suppose -4*y + a + 3*a = -4, -3*a = -4*y + 7. Suppose 10 = -2*s + o, -2*o - y = 4*s - 0. Let f(b) = -2*b + 11. Determine s*f(n) + 7*d(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9418 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/45 + 236\/20 and (-2 - (-280)\/(-273)) + 5?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/50770357 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -2)*(-116)\/(-8). Let d = t + 55. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q + 11*q - 3*q**4 - 19*q**3 + 16*q**3 to a*q**2 + v*q**4 + s*q + t + m*q**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*f**3*u + 3*f**3 + f**2 + 2*f*u - 551794*f - 1469092*u - 22 wrt u?\nAnswer: -6*f**3 + 2*f - 1469092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 * -2456\nAnswer: 884.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*a + 168*a - 81*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + -3)*2*2.\nAnswer: -20*sqrt(13) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1713 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 + -103. Suppose -2*i = -12 - 10. Let n = i - v. Solve q = -0*h - 5*h - 21, 5*q + 3*h + 17 = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 6*-2*sqrt(171) + 2*(sqrt(171)*-1 + sqrt(171) + sqrt(171) - sqrt(171)))\/(sqrt(36) + -1*sqrt(324)) + 5 + -4.\nAnswer: 1 + 11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14294627, -57178507, -128651639, -228714023, -357365659?\n\"Answer: -14294626*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2983372 and 1316.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8799138 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120132031 - 11?\nAnswer: -120132042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqqrtttjtrqtttrt. What is prob of sequence qr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*y**3 + 1 + 433*y**3 - 1)*(5*y**2 - y**2 + y**2 + 2).\nAnswer: 1075*y**5 + 430*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:46 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1692 - 1688. Let d = -4 - -9. Put z, -1, d in descending order.\nAnswer: d, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(432))**2 + -1 - ((sqrt(480)*3 + sqrt(480))\/sqrt(10) + sqrt(48) + sqrt(48))).\nAnswer: -24*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 477015 and 377895.\nAnswer: 29097915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304609.\nAnswer: 13, 211, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164470965.9 minus -147?\nAnswer: 3164471112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3374.067321 to the nearest 10.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147901537 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmcmmmcmczzmccmmm. What is prob of picking 2 c and 1 z?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, z: 2, y: 2}. Give prob of sequence ym.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1253 + 1253. Put -4, u, -5, -1 in increasing order.\nAnswer: -5, -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 468, -26, 1 in ascending order.\nAnswer: -26, 1, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.71 - -1.17. Let h = 40.82 + y. What is h rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/88 and 125\/384.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)*u*u*u\/((u\/((u**(-2\/17)\/u*u)\/u))\/u)*u)**(-1\/5)*(u*u**2)**44*u**(-2\/5)\/(u**8\/u) assuming u is positive.\nAnswer: u**(10763\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*(-162)\/(-18)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-606)\/404)\/(((-6)\/8)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 6*f**3 + 8*f**3 + 2*f**3 + 0*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 124, 120, 114, 106?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184594 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1\/5, -44, 0.2.\nAnswer: -44, -2, -1\/5, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = r + 137, 2*v = 2*r + 50. Let i = -20 + v. Let h be 2\/i + 207\/36. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k, -3*g - 3*k = -2*k - 15. Suppose 3*j - 8*j + 25 = g*c, 14 = 4*c - 2*j. Differentiate -12*b + 7 - 2*b**c + 12*b with respect to b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 + 5*l + 7. Let m be d(-4). Suppose -2*a = -u + 9, -2*u - 4*a + 3 = -m*a. Let s be (8\/(-10))\/((-3)\/75). Solve o + s = -u*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03704724 - 63.96322276. Let p = l - -64. What is p rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-7*w**2 + 15*w**2 + 4*w + 2 - 4*w**2) to j*w + o + b*w**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/4 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-720)\/(-200))\/(1 + 7\/(-10)). Which is the second smallest value? (a) -2\/13 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.95635 in 22, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 939707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2470 greater than -0.027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*l - 0*l + 14, -l + 3 = 3*m. Let x be 3\/m*(3 + -5). What are the prime factors of (0 - -2)*(-9)\/x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - w - 630, 129 = 2*t - 2*w - 139. Let g = 3 + 7. Calculate the least common multiple of t and g.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27580418 by 22082.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1947 and 128769810.48.\nAnswer: 128769810.6747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138? (a) 0.4 (b) 1\/7 (c) -4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 0*f - f**3 + f**4 - f + 2*f**3 in the form h + b*f**2 + l*f + r*f**4 + z*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2839 + 237?\nAnswer: -2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 71*v + 1596. Give l(89).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2.3. Let j = 66 - 67.6. Let n = z + j. Which is the nearest to -1? (a) 0.2 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 10) to base 12\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 3018426*l**2 + 30184235*l\/2.\nAnswer: l*(l + 5)*(l + 6036847)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38320, 35397, 32474?\n\"Answer: -2923*l + 41243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 30 - 12*b + 10*b + 3*b - b**2. Let c = 1 + -1. What are the prime factors of a(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 27*r - 3. Let v be u(18). Let w = v - 90. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -145\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10) - 41608\/(-1760). Let p = n + -232\/11. Determine o so that p*o**3 + 0*o - 1\/2*o**2 + 0 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 20 = -3*u + 7*u, -5*u - 2*w + 22 = 0. Suppose -4*s - 5*k + u - 1 = 0, 0 = 2*s + 3*k - 3. Solve s = -3*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89044 is divided by 5629.\nAnswer: 4609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*x - 43*x - 11*x**2 + (6*x - 5*x - 2*x)*(0*x - 3*x + 2*x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*y + o - 152 = -139*y, 5*y - 4*o + 190 = 0. What is the common denominator of y and -44\/513?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 184 + -188 + -27 + -1?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 769167 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: Let d(n) = 17*n + 3. Let k(c) = -322*c - 56. Calculate -56*d(f) - 3*k(f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 14) to base 10.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**3 + 2*x**2 + 10*x + 75. Is 30 a factor of d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -492*228\/1216?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7030.02 - -7030. Which is the nearest to 1\/3? (a) 22 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -a5c1?\nAnswer: a5bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 320, 330?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 987.088910864.\nAnswer: 987.098910864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 26*o**2 + 45*o - 133. Does 136 divide y(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 0*h**2 - 2*h**2)*(5*h + 2*h - h) + 111 - 111 - 22*h**3 - 6 + 3 - 2*h**3 + 4 to v*h**3 + r*h + f*h**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 609.54 (b) 4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 68*v + 361. Give q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3c8814 (base 15) to base 3\nAnswer: -12111001212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74.2 - -75. Let n be 2\/8 - (-3)\/36. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.2\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1021481 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-1 - (-2 - -13))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from vvvbvdzbzzbzvbwzvbv.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24855201, 24855216, 24855231?\nAnswer: 24855246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -6. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54774*j**3 - 3*j**2 + 3*j**2 - 2*j + 108818*j**3 - 54012*j**3.\nAnswer: 32*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 2\/((-76)\/22815470). Let z = -600698 + h. Let y = -291 - z. What is the biggest value in y, -2, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7))**(-1\/3))**13 assuming s is positive.\nAnswer: s**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3250 - 780 = -247*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 + 4)*(-3*u + 2*u + 0*u + (0 + 0 + 2*u)*(-2 + 2 - 2)) to the form b + v*u and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*k**3 + 1\/3*k**4 + 0 - 1\/3*k**2 - 1\/3*k.\nAnswer: k*(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15.74435ns?\nAnswer: 0.01574435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 97 (c) 1\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 13*s**5\/30 - 5*s**4\/6 + s**3\/2 - s**2 + 12*s. Find the second derivative of b(w) wrt w.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.026 + 3.126. Let x = z + -3. Let l = -5 - -5. Is l smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 2. Let t be r(2). Let u = 6 - t. Suppose 0 = -u*p + 7*p - 3. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005716 to seven dps.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15785*v**2 - 32357*v**2 + 16589*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -12 + 9 - (3 - 21)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.215 + -0.315. Let h = 1.01 - i. Is h < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*z = 244*z - 10230. Is z not equal to -465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 2*r + 3. Let c = -206 - -206. Suppose c = -81*b + 94*b + 39. Calculate g(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/18*18\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 1296*i**3 - 62556*i**2 - 46330*i - 5978 = 0.\nAnswer: -61\/108, -1\/6, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f\/f**11))*f*f*f*f*f)**(-14\/5)\/(((f\/(f**21*f))\/f)\/f**(2\/9)) assuming f is positive.\nAnswer: f**(326\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 161*x - 31 - 162*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 60?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = f + 359, 6 - 1 = 5*f. What is the greatest common factor of 60 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*w + 2*w. Suppose -5*r - 20 = -w*s + 20, 3*r = 4*s - 13. Let h = 11 + r. Does 4\/7 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -3, -4, -6, -63, 2.\nAnswer: -63, -6, -4, -3, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrbmrmmrryvy. What is prob of sequence ymy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 58*j**3 - 3*j - 2. Let d be i(-1). Let w be 5\/10*2 - (d + -2). What is the greatest common divisor of w and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8 + 2*b + 0 - 4 + 0. Let n be p(7). Suppose -n*j = 6, -5*j - 55 = -s - 3*s. Calculate the highest common factor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 728666*b - 714926*b + 1)*(-2 + 4 - 5) as m + s*b and give s.\nAnswer: -41220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7252*z + 59793 = -34483 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4396394*m**3*v**2 + 1259437*m**3*v - 21*m**2*v**3 - 17*m**2*v wrt v?\nAnswer: -8792788*m**3 - 126*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -7 + -26 - (10 + -4 + -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 201178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.307 - 0.193. Which is the fourth biggest value? (a) 1 (b) w (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112212 divided by -3117\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*v**2 + 20*v**2 - 44*v**2 - 6*v + 9*v**2 to the form t + m*v**2 + l*v and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffafjffffa?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200120 + 111102?\nAnswer: 1011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8799\/19 + -463. Put -2\/7, -8, u, -1 in descending order.\nAnswer: u, -2\/7, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 23 = g, -2*g = 2*g + 3*i. Let s be 9\/6*2 + g. Let f = -3.9 - 0.1. Which is the smallest value? (a) s (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 + (-19 - -7) + (10 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*a)*(-4 + 3 + 2) - 11 - 4*a + 6 + 3*a to the form h + p*a and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) 5 (c) -11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d. Let p(l) be the second derivative of -l**3\/3 - 5*l. Determine m(p(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5368 is divided by 2680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.28 - -0.28. Let w = 652 + -675.05. Let g = j - w. Which is the third biggest value? (a) 3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926a0 (base 11) in base 3?\nAnswer: 20212112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1418 = -156*n + 60*n + 4682. Solve n*a = -22*a + 112 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -2\/9, -2, 2, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1326*a - 1356*a - 1363*a + 4025*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3\/7 + 3708*x**2\/7 + 438416*x\/7 - 1813248\/7 = 0. What is x?\nAnswer: -787, -144, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + o**5 - 3*o - 1096*o**5 - 2069*o**3 + 2069*o**3 - 2*o**5 - 2*o + 2*o + (-o**3 + o**4 + o**3)*(-2*o + 2 - 2) + 0*o**5 + 2*o**5 - 4*o**5.\nAnswer: -1101*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5977301527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/15, 75?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43695 + 2433 = -744*w for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-12)*-8 - (-8)\/(-3). Let x be (168\/18)\/(m\/(-39) - 0). Let s = x + -127. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 2*u - 2. Let y be w(2). Suppose -20 - 70 = g. Let s be (-33)\/g + (-4)\/24. Which is the second biggest value? (a) -0.7 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45132, 83334, 121538, 159744, 197952?\n\"Answer: q**2 + 38199*q + 6932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*c = -8, -c - 16 = 2*a + 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928 by -232.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -24271*x - 315635. Determine a(-13).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -14*n**3\/3 - 7*n**2\/2 + 5*n - 1. Let v(g) = 7*g**2 + 3*g - 2. What is -14*v(q) - 6*w(q)?\nAnswer: -14*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1033673791, 1033673790, 1033673789, 1033673788, 1033673787?\nAnswer: 1033673786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2209 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.831, 1, -0.3, -1\/283 in decreasing order.\nAnswer: 1, -1\/283, -0.3, -9.831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 1. List the prime factors of ((-108)\/48)\/(n\/64).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 2288000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -990 - 1178124854431\nAnswer: -1178124855421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l - 5*l - 33*l)*(-l + 0 + 0)*(1 - 5 + 3).\nAnswer: -53*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -865\/4 or -216?\nAnswer: -865\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 - 22*l - 12. Let j(c) = c**2 - c + 1. Let a(x) = -6*j(x) + p(x). What is the hundreds digit of a(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65.8 + 99.5. Let w = -30.8 - -3.8. Let r = w + q. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 + 225*p**4*t - 5*p**3*t + 2*p*t + 1675*t + 3 wrt p?\nAnswer: 60*p**3 + 2700*p**2*t - 30*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/60 + 5*j**4\/24 + j**3\/2 - 2*j**2. Let d be x(-5). Let c(l) = l. What is the remainder when 4 is divided by c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/29 + -31\/58. Let v = 50 - 103. Does z = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28727 - 28711. Solve r - 2*a - 4 = 0, 4*r = -a - 2*a + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 14*j - 20. Let o be k(12). Solve -o*n - u + 8 - 24 = 0, 0 = -u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11087 - -11071.977. Round o to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2402355788.19996 - -2402398577. Let w = -42788 + r. Let f = w - 0.8. What is f rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -108. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 4707023373440\nAnswer: 4707023373449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -54545 take away 5245176?\nAnswer: -5299721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-4)*107\/(-1926).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 41\/3. Let k = 0.6 - 0.1. Which is the closest to -2\/5? (a) y (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/21 + (-28)\/6. Let l be -3 - (b + 4\/4). Solve -l = 2*i - 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34904\/13 - 4743603\/1768. Let i = g + 38\/17. Find the common denominator of -14\/11 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/39 (b) 0.1 (c) 4 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 571392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (422\/(-20)*4)\/((-15)\/(-900)*-4).\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -25, -62?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10488567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2.9. Let a = -0.44113 - -0.04113. Let o = 17\/12 + -7\/4. What is the nearest to c in o, a, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389163811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 13) in base 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(13\/5 + -2). Let d be ((-10)\/x)\/((-4)\/6). Solve -k - 5 = 2*c + 6, k + d*c = -20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.4532 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 + 6)*(3230*w - 3230*w + 62*w**2)*(106*w**2 - 2*w + w + 7*w**2) in the form g*w + q*w**2 + d + c*w**4 + a*w**3 and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 4*n**4 + 12*n**3 + n - 4*n**4 - n**4 to the form s*n**3 + o*n + p*n**2 + k*n**4 + w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let z(u) be the first derivative of 13*u**3\/3 + 3*u**2\/2 + u + 7. Is z(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51789, -51788, -51787, -51786, -51785?\nAnswer: -51784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19586 is divided by 4808?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14508, -29014, -43520, -58026, -72532?\nAnswer: -87038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 0. Suppose o = 5*z - 3*n + 26, -3*z = -n + 3 + 11. Let p = 99 + -493\/5. Which is the third smallest value? (a) p (b) z (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 16 = r. Let f = 11 + r. Suppose 0 = 4*z - f*k - 63, -4*k = -9*k - 25. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(45) + 2 + sqrt(405) + 1 - sqrt(30)\/(2*sqrt(150) - sqrt(150))))**2.\nAnswer: 1770*sqrt(5) + 17630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 + -47. Suppose -3*g - 2*w + c = 3*w, 0 = g + 3*w - 32. Suppose 3*q - 25 = g. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -20. Let g = y + 29. Calculate the greatest common factor of 58 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 15488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 18819935.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-3 - -4)*1 + 11). Let g be 4\/6 - (-52)\/r. Solve 5*f = 15 + g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4601\/4?\nAnswer: 4601\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*d, -57*h + 59*h - d + 34 + 40 = -10*d for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b*f*r**2 + b*f*r - 3*b*r**2 + b + 21*f*r - r**2 + 5*r wrt r?\nAnswer: -28*b*f - 6*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29315 or -14340?\nAnswer: -14340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004845476 to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*u - 5*u**2 + 13*u - 2*u**2 + 9*u**2 - 1659*u as z*u**2 + c + a*u and give a.\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1340.834728 to the nearest ten.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -2*sqrt(176) + 2.\nAnswer: -8*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + (4 - (-18 - -14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*z - v = -407*z - 237331, 4*v = z - 59337. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59158 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxxr when four letters picked without replacement from frrrfxrxrrrxrxrrrrxr?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2118\/(-8)*120\/(-405) - (-15 + (-5977)\/(-387)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824106.7 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1471, 1472, 1473?\n\"Answer: t + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 33*h**2 - 29*h + 136. Is 11 a factor of f(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/15)*o**(-30)*(o*o**(5\/2))\/o*((o**(-2\/113)*o)\/o)\/o assuming o is positive.\nAnswer: o**(-96901\/3390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 8 = 6*p. Let k = -23771169667\/2607 - -9118208. Let m = 1\/237 - k. Which is the third biggest value? (a) p (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 2*o**5 + 2*o**3 + o**5 + (3 + 0 - 2)*(2*o**5 + 0 + 0) + 0 + 0 + o**5.\nAnswer: 2*o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3460*o - 3424*o + 214, -x = -o + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 5 + 5 + (-3*r + 2*r - r)*(-17*r + 2*r - 52*r).\nAnswer: 136*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.35, -152.5, 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {w: 5, h: 1, t: 11}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 219*w**3 + 17 - 217*w**3.\nAnswer: 2*w**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 124\/6 + (-8)\/(-6). Let q = -19 + g. Suppose -w + 5*m = 2*m + 44009, q*m + 87991 = -2*w. Round w to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -49, -73, -99, -127?\n\"Answer: -v**2 - 19*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -307157?\nAnswer: -307157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14*(-4 + (-4)\/(-8)). Let g = t + 16. Let d be 2\/(-13) + 2155\/g. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/7, 1\/2, -9661?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -430, -432, -436, -442, -450?\n\"Answer: -p**2 + p - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 2, a: 3, e: 4, x: 3, p: 4}. Give prob of picking 2 p and 1 a.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/100)\/(3\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**2 + 23*x + 117. Let t(v) = 4*v**2 + 6*v + 30. Give 3*a(u) - 13*t(u).\nAnswer: -u**2 - 9*u - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:38 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12237\/8 - 3083\/2. Calculate the common denominator of 79\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1.8. Let f = 8.8 - 1.6. Let w = x - f. Sort 0, 5, w in decreasing order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.009 (c) 0.4 (d) -24 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, i: 1, m: 1, l: 2, r: 1}. Give prob of sequence vimr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 + 57788*i**4 + 416157706*i**3 - 18413481224*i**2 + 68658183048*i - 66992627520 = 0.\nAnswer: -14469, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -13. Let s(b) = -10*b**3 - 8*b**2 - 6. Let i(j) = 0*j**2 + j**2 + 2 - 1 + 32*j**3 - 31*j**3. Give r*s(q) + 8*i(q).\nAnswer: -2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.5 - -0.5. Is -0.1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**16)**(-20) assuming i is positive.\nAnswer: i**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -337036 (base 9) in base 5?\nAnswer: -22430331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6023*a**3 + 5*a**2 - 18*a + 14. What are the prime factors of q(1)?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*w + 38493 = 0, -289*c + 3*w = -292*c + 38493. List the prime factors of c.\nAnswer: 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23736 - 6920*u + 26*u**2 + 6920*u + 23746.\nAnswer: 26*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from seeieiseexfsfib?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 14. Let r(y) = 4*y + m*y - 2 - 8*y - 1. Calculate r(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - 5*c. What is the second derivative of c*k - 21*k - 4*k + 33*k**2 wrt k?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -740*j**2 - 4*j + 2. Let v(t) = 682281*t**2 + 3690*t - 1845. Give -5535*a(m) - 6*v(m).\nAnswer: 2214*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (9 + -11)*1. Let j(p) be the second derivative of p**5\/20 - p**4\/2 + 5*p**3\/6 - 3*p**2 + 37*p. Determine j(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -395*m**2 + 1184*m**2 + 60*m**3 - 392*m**2 - 379*m**2. Let u(v) = 17*v**3 + 5*v**2. Give 5*g(r) - 18*u(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425 is divided by 157.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**2 + 12*z + 13. Let a be v(-8). Suppose 5*s + 72 - a = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -7296\nAnswer: 14592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:35 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1813 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:06 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/(-2)*80\/15. Let m be 1 + 5\/((-5)\/o). Suppose m + 168 = 4*l + 3*b, 5*b - 119 = -2*l. Calculate the greatest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.423475 + -4.217324. Let x = d - 0.370601. Let c = 63 + x. What is c rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 7, -4, -8123, -1 in decreasing order.\nAnswer: 7, 5, -1, -2, -4, -8123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 3. Let n(m) = 2*m**2 - 7. Let v(i) = -6 - 2 - 11*i - 12*i**2 + i**3 - 11. Let r be v(13). Determine r*p(c) + 3*n(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p - 20. Let w be (-1244)\/62 - (-18)\/279. Let m(r) = 1. What is w*m(x) - i(x)?\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = 8, -2*r - s = -33. Calculate the remainder when 58 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 5*o**2 + 2*o. Let b(v) = 4*v**2 + 23*v - 14. Let n(l) = 2*l**2 + 13*l - 8. Let c(p) = 8*b(p) - 14*n(p). Give 6*c(z) - 5*r(z).\nAnswer: 5*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*w + 2*i, 0 = -2*i - 10 - 0. Solve w*j = -j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 267?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-1)*(1320\/(-770))\/((-12)\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124022 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -4, 17 in ascending order.\nAnswer: -4, -1\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -47*m**4\/24 + 16*m**3\/3 + 67*m**2\/2 + 3. Let q(r) be the second derivative of d(r). Find the first derivative of q(i) wrt i.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l*l**(-31)*l)*(l*l*((l\/l**13)\/l)\/l*l)\/(l\/((l**(27\/5)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.426?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23387 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 4*p**5 + 12*p**5 + p**2 + (-p**2 + 2*p - 2*p)*(5*p**3 - 4*p**3 + 0*p**3) - p**3 - 2*p**5 + p**3.\nAnswer: 13*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -455, -2503, -5933, -10763, -17011, -24695, -33833?\n\"Answer: -3*s**3 - 673*s**2 - 8*s + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - 1110101?\nAnswer: -10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 66. Let r(v) = -8*v - 29. Let y be r(p). Let l be y\/(-5) - (-1 + -19998). Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*g*z - a**2*o**2*z + 2*a**2 - 707*a*g*o**2*z + 3*a*z + 50*a - 24*g*z - 55*o**2 - 2*o wrt g?\nAnswer: -a**2*z - 707*a*o**2*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -3.03, 6\/11 in ascending order.\nAnswer: -3.03, 0.1, 6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 168872 - 21448 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/346 + -9308\/865. Find the common denominator of y and 57\/403.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/64789 and -39\/2?\nAnswer: 129578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 3.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/11? (a) 0.06 (b) -301 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - 1.1. Let o = m - -3. Let v = -0.3 - -0.1. What is the third smallest value in 0.3, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.27 + 35. Let j = i - 1.63. Let q = j - -1.89999949. What is q rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/8 - 1129*u**3\/4 - 66215*u**2\/2 - 65087*u = 0.\nAnswer: -2134, -122, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671.3641 months in centuries?\nAnswer: 2.22613675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000 - 111010100010000?\nAnswer: -111010110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70.0000284 - 70. Round m to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14710542 and 56.\nAnswer: 58842168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*m*p**3 - 4*m*p**2 - m*p - 18*m + p**3 + 3*p**2 wrt p?\nAnswer: -504*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 66*u - 248. Calculate c(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 822 and 4110?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 3, j: 2}. Give prob of picking 1 o and 1 l.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2070\/11 - -188. What is the closest to -3 in -0.02, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1039?\nAnswer: 3\/1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**3 + 2*a**2 - 36*a + 5. Let j(q) = -q**3 + q - 1. Calculate -i(p) - 6*j(p).\nAnswer: -p**3 - 2*p**2 + 30*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 5*c - 12. Does 3 divide p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8058258.\nAnswer: 2, 3, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 12*n + 31. Let y be s(-14). Suppose -r = -y*r - 2*r. Suppose 5*u - 4*d - 265 = 0, -4*d + 305 = 5*u - r*d. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 264*z**5 - 1292*z**4 - 1736*z**3 - 108*z**2 + 72*z = 0.\nAnswer: -1, -3\/11, 0, 1\/6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 30 = -3*f, b + f = -f - 13. Let k(l) be the first derivative of -3*l**4\/2 - l**3 + 3*l**2 + 11*l - 23. List the prime factors of k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -1 + -1*(sqrt(300)*2 + sqrt(300)))*-6.\nAnswer: -1080*sqrt(3) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 46*x - 11. Let j be t(-11). Let k = -270 - j. Calculate the highest common divisor of 26 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3570 (b) -0.5 (c) 44519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6787, -6767, -6747?\nAnswer: -6727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10579288 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 5*o - 14 = 0, 5*o = 5*b - 40. Let r = 9 + b. Find the third derivative of 26*w**6 - 55*w**6 + r*w**6 - 15*w**2 wrt w.\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 12*h. Let u(a) = a**3 + a**2 - a + 12. Let p be u(0). Let r be d(p). Suppose 0 = -r*i - 5*i + 100. Solve -3*g - g = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3249*z**3 + 20*z**2 - 1624*z**3 - 1626*z**3 - 70*z - 30*z**2 + 36 - 17*z**2. Determine l(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**3\/3 - 11*h**2\/2 + 11*h - 246. Suppose -2 = w + 4. Is j(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 8*c + 4. Let n be w(9). Let r(s) = 4*s**2 + 13*s + 10. Let y be r(n). Suppose -5*h + y = -2*h. What is the highest common factor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 2, i: 1}. Give prob of sequence zzi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*q - 22, 241*j - 4*q = 244*j - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -542 + 547. Solve 12 = -h*g - v, -5*g + v - 4*v - 16 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) - (sqrt(98) + 0 + sqrt(98))*3))**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 6.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3733 - 3749. Let s(q) = -2*q - 55. What is s(m)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2399.6312190721 from -5.\nAnswer: 2394.6312190721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -2*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(2) + sqrt(2) + sqrt(2) + sqrt(20)\/(sqrt(10) - (sqrt(10) + (sqrt(10) - (sqrt(10) + sqrt(10) + sqrt(90) + sqrt(10))))).\nAnswer: -5 + 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50272 (base 13) to base 10.\nAnswer: 143236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -50. What is the nearest to 0 in m, 0.3, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356855 (base 12) in base 15?\nAnswer: 12050b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -105. Let r(f) = -40 + 16*f - 23*f**p - 15*f + f**2 + 39. Let m be (1 - 4)\/(-3) + 0. What is r(m)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 110, 164, 218, 272, 326?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -16556?\nAnswer: 16553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 5 - (1 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m**3 - m**2 - 133*m + 12. Let l(d) = 15*d**3 + d**2 + 133*d - 10. Let u(c) = -6*l(c) - 5*v(c). Find the third derivative of u(h) wrt h.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 + -1576\/11. Factor d*n + 8\/11*n**2 + 2\/11.\nAnswer: 2*(2*n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c)*(2 + 1 - 4)*(-4*c**2 - c**2 + 6*c**2) + 3*c**3 - 4*c**3 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -12, 242 in increasing order.\nAnswer: -12, 20, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8664\/(-10830))\/(4\/345)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - r - 29 = 0, 2 = 2*c - 0*c + 2*r. Suppose c*a - 59 = 16. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -4.7. Which is the closest to -1? (a) -2\/17 (b) 5\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2 + 5*v**2 + 11*v + 3 - v**3 - 15*v**2. Let t be b(-11). Suppose t = 6*a - 17. What is the highest common factor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20096 + -47330. Let f = l + 2385. Does 10 divide f\/(-165) - (2\/(-5) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 3*t + 0*t)*(1 - 4 + 1 + (-25 - 6 - 16)*(0 + 1 + 0)) - t + t + t + (-2 + 4 + 0)*(4*t - 5*t - t) in the form b*t + n and give b.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 + 135. Is 63\/2 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 16)*(-12 + (-2002)\/(-168)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 115.24. Which is the closest to x? (a) 5 (b) 1\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(4*(-5)\/(-60)). Which is greater: s or -5\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4621 (base 13) in base 16?\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.305809.\nAnswer: 0.305809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202\/3*c + 44\/3 + 6*c**2 = 0. What is c?\nAnswer: -11, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)*30\/12. Let x = 2.4 - 2. What is the nearest to b in 5, x, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5642.29*2.31.\nAnswer: -13033.6899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23739060 and 23739060.\nAnswer: 23739060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231110220 (base 4) to base 9.\nAnswer: -312576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22709 is divided by 541?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9143 + 76771 = -754*i + 2784 for i.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 5336127 and 5336124 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -579 in -1\/9, 6\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-5*5)\/(5*(sqrt(2) - (sqrt(4)\/sqrt(2) + sqrt(2))) - sqrt(14)\/(sqrt(7)*-1)).\nAnswer: 125*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 6, n: 1, l: 4, r: 5}. Give prob of sequence wdr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 0.215\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166*c**3 - 504 wrt c.\nAnswer: 498*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -13 - 4. Suppose -28*o - 17 = -11*o. Let v = o - x. Calculate the remainder when v is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i + 2*i = 0. Sort -2, i, -13 in descending order.\nAnswer: i, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-3)\/(-2) + -1. Let l be (w\/(-24))\/((-4)\/18). What is the second smallest value in l, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 26 = -2*g, 66242 = -f + 12*g + 66111 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, y: 2}. What is prob of picking 1 r and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -159a - -2a74a?\nAnswer: 29170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8486.\nAnswer: 2, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 104.7*1942.56\nAnswer: 203386.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*12\/8)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27022 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (31 - 72) + -1 + -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sasa when four letters picked without replacement from mmpmasmmmmmpmsmmpaa?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5491 - -19730\/6133447. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62 times 0.1?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose r*f - 49 = 65. What is the remainder when 148 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 + (-4)\/28 + 1\/7. Suppose -g*w = -31*w + 133. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1866*t - 4556 + 4556)*(5*t + 4 - 4 - t + 5*t - 3*t + 5*t + t - 4*t - 3*t + 2*t + 2*t + (-2 + 2 - 1)*(3*t - 5*t + t) + t - t + 2*t + 2*t + 0 + 0).\nAnswer: -26124*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - (0 - -4) - -37?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*i = -251, 53 = 3*p - 2*i - 204. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -56\/3, 3\/4, -2\/7 in increasing order.\nAnswer: -56\/3, -2\/7, 3\/4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/495 + 27161\/3960. Calculate the common denominator of -21\/569 and k.\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poph when four letters picked without replacement from {p: 2, h: 2, o: 1, u: 1, s: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 2 - 9*d.\nAnswer: -9*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1331*o = -121*o - 9972 - 37244 - 10864 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 61, 96, 137, 184, 237?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*m**4 - 80*m**4 + 29*m**4 + (-3*m**3 + 3*m**3 - m**3)*(3 - 2*m - 3).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1211 + 2178. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4446, 4323, 4200, 4077, 3954?\n\"Answer: -123*j + 4569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 490*d**4 + 908?\nAnswer: 1960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -508*g - 77725. Give y(-153).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 11*w + 27. Is ((-4195)\/(-25))\/(w\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52066 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.02849873474885?\nAnswer: 0.52849873474885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 154*b**2 - 5*b - 26. Suppose 4*p = 5*d + 39, -21*p = -4*d - 19*p - 30. Is h(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528253*350.\nAnswer: -184888550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/1 - (7 + -10). Suppose 3*z - 21 = -q*k - 4*k, 0 = 5*z + 3*k - 24. Let w(o) = o - 3. Let h(d) = 2*d - 4. Give z*h(b) - 4*w(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 59596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*a + 61. Let q be 91\/a - 2\/6. Let -3*p**2 + 2*p**2 + 5*p**4 - q*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 - 68*q**2 - 9 + 39*q**3 + 66*q**2 wrt q?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/((-157696)\/396))\/(3\/7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.6 - 0.6. Let h = 29 - y. Let d = -17.000074 + h. Round d to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71487.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*g - 48, -4*g - 3 - 1 = 0. Let x be 12 - (-2 - (2 - 5)). Is h equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -x, 0 = -2*t - x + 6 + 1. Let o(n) = 2*n**3 + 4*n**2 - 5*n + 7. Let k be o(-3). Solve -v = t*v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 55*-2 - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210717 and 117?\nAnswer: 210717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, j: 2, i: 2, w: 1, f: 1, n: 6}. Give prob of picking 1 f and 1 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 365, 548?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101222221 (base 3) in base 14?\nAnswer: -1a626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let h be v - (0 - 609)\/3. Suppose -5*x + 93 = -h. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 60 = -3*u + 60, 6*o = 5*u - 7 + 194 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261622731 to the power of 1\/2, to the nearest integer?\nAnswer: 35519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*q - 24 = 27, 44 = 4*d - 4*q. Let b(i) = -2*i**2 + 16*i. Is b(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 130?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 7094 + 376. Let y = b - -839. Let j(k) = k**3 - 8*k**2 - 9*k - 1. What is j(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.12 (b) -22\/19 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4*h + 4. Let k(i) = -i**2 - 3*i + 14. Let f be k(-6). Calculate x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2952)\/99 + 4\/(-22). Let b be ((-32)\/80)\/((1\/y)\/1). Suppose -2*r + 5*r = -5*c + 89, 2*r + 4*c - 60 = 0. Solve -4*v = a - b, a + r = 4*v - 2*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 2 - (-49)\/15. Let s = u + -23\/30. What is the biggest value in -1, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*p. Solve -p = -0*k + 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 9\/2*x**2 + 9*x + 0 + 0*x**3 - 1\/84*x**4 - 1\/105*x**5 - 1\/420*x**6. Let l(j) be the first derivative of p(j). Factor l(w).\nAnswer: -2*w*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01216 rounded to four dps?\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10.7 - -456309048539\nAnswer: 456309048549.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/87 and -13\/82853.\nAnswer: 248559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.1. Let v = 9.2 + -10. Let g = v + 1. Which is the nearest to p? (a) g (b) 5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*i - 140 = 0, h + 84 = 4*h + i. Suppose -4*x + h = -20. What is the remainder when 19 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56021 - -91602. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 7*v = 916. Suppose -5*k = -1614 + v. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23408260 and 44.\nAnswer: 257490860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2482962 - 5164561079\/2080. Find the common denominator of 109\/208 and z.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhsssaeasnnnnosn. Give prob of sequence soe.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**(-9))*b)**(1\/28) assuming b is positive.\nAnswer: b**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13218 + 13219. Let t(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/6 - h**2. Let j(a) = -a**3 + 6*a**2 - 6*a + 7. Calculate p*j(z) - 6*t(z).\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -0*a. Let s = -0.1 + 0. Let k be (-18)\/(-10) - 6\/6. What is the nearest to s in k, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.87 + 19. Let c = -7.87 - a. Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256.04l in millilitres?\nAnswer: 1256040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose 3*l = -4 + 10. Let d = l + v. What is the remainder when 9 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/8 and 4*3\/6*82\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.65*3\nAnswer: -13.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/8 (b) 4 (c) -2680\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7877, 2, 4, -3 in descending order.\nAnswer: 7877, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 350 + 1065 = 0. Let r = c - 520. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/468 and -109\/32562.\nAnswer: 846612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42714009 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.440536 micrograms?\nAnswer: 440.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27500 is divided by 9166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.049072*43\nAnswer: -2.110096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 38 - -45 - 20.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -408, -378?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2. Let g(u) = -17*u**2 + 5*u + 5. Suppose 0 = 2*i + 4. Let m(o) = 9*o**2 - 2*o - 2. Let z(k) = i*g(k) - 5*m(k). Give q(z(h)).\nAnswer: -363*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -41 in ascending order.\nAnswer: -41, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 2. Let v be o(2). Suppose -5*x + 36 - 6 = v. Suppose -2*u = 6 - 14. Put u, x, 3 in ascending order.\nAnswer: 3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 5*w - 2. Give j(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 17*d + 4. Let t be g(-6). Suppose 5*a + 13 = -4*c, t = 5*c - 4*a + 11. Let j(y) = -y**3 + 3*y**2 + 3*y - 3. What is j(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*m + 3*m - 46938, 2*z = -5*m + 46924. Let f = z - 42467. Round f to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l + 18 = 0. Let g(r) = r**2 + 3*r - 6. Let k be g(l). Suppose 3*s = s + k. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**2 - 170*s + 320 = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a decade in years?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*t = -8, 2*z = -6*t + 3*t + 11. Let c(d) = z - 1 + 11*d - 3 + 1. What is c(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 = -3*x + 440 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) + 365\/(-60) + 5. Let r = -118 - -1064\/9. Let a = -1 + 1.5. What is the second smallest value in a, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Suppose -p + 1 = -b. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 5) to base 14.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 7*v = -2*v + 15, -5*s + 25 = -3*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 764*m - 469*m - 453*m - 3792 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20286 by -1.\nAnswer: 20286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/7 and -16\/8193.\nAnswer: 57351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -71. Find the second derivative of -13 + 25 - 12 + u*b + 13*b**2 wrt b.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/1050 and 47\/22.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*w + 24 = 0, -k + 4*k = -w + 8. Let r(u) = 7*u - 9 - 8*u - k. What is r(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 18. Let x be (17\/204)\/((-8)\/(-72)). Sort x, 0, d in descending order.\nAnswer: d, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155946 and 5.\nAnswer: 779730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1532 and 20504288.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 + 7. Let b(j) = 0*j**2 - 13 + 2 + 3 + 4*j**2. Determine 4*b(z) + 5*c(z).\nAnswer: z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 0.7 (c) -1\/20 (d) 3594 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 207*c**4 + 597*c**3 - 3043*c**2 + 3462*c - 1224.\nAnswer: (c - 1)**3*(c + 6)*(c + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in -4, 0, -1\/4, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5788*c + 165949 = 5683*c - 10372*c for c.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 42007.\nAnswer: 4620.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - b + 3*b = -80, 2*i = 4*b + 40. Suppose 4*q + 4*m + m - i = 0, -8 = -4*m. Suppose -q*y = 2*j - 11, j = -2*y + 1 + 3. Solve -y*x = -2 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*c)*(-c**2 - c**2 + c**2) + 3*c**3 - 2*c**3 + 3*c**3 - 49 + 35*c**3 - 5*c + 23 + 25.\nAnswer: 37*c**3 - 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236 - -235.823. Let s = f - 14.023. Let c = s + 14.19866. Round c to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m + 7 - 157 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 219*a**2 + 2069*a**2 + 2796*a**2 - 1355*a**2 + 1628*a**2 - 7168 wrt a.\nAnswer: 10714*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 189472351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -4 - -3 - (-45 - -86).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 + v**2 + 8*v + 8. What is h(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12348\/(-168))\/49)\/((-12)\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2799 = -5*x, 2*x - 5*b - 443 = 672. Is x a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11122*t - 11104*t = -18. Let f = -0.28 - 0.02. Which is the closest to t? (a) -2\/13 (b) f (c) -2\/115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let v(a) = -6*a + 54. Let y be v(9). Sort y, o, 3.\nAnswer: y, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - d. Let m(x) = 5*x + 9*x + 15*x**2 + 3*x**3 - 2*x. Let t(j) = -m(j) - 2*p(j). Suppose t(f) = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-35) + -3302*(-2)\/(-84) + (-368)\/552.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.1 (c) -243\/13 (d) 0.3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, l: 7}. Give prob of picking 2 s and 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -14ab?\nAnswer: -14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 56. Suppose -4*s + s - t = 4, 16 = s - 4*t. Is l(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.98 and -55317?\nAnswer: 718014.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3174 and 41\/8897412?\nAnswer: 204640476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 92\/12. Let x be 360\/(-35) - (-2)\/p. Let b = 1 - x. Calculate the remainder when 85 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1)*(-68)\/(-8). What is the remainder when (-15)\/6*(-1 + -13) is divided by (-3 - n\/(-5))*30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 601326?\nAnswer: -601333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - l - 3*f + 9, -f + 9 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/22)\/(2\/32). Let t(n) = n**3 - 7*n**2 - 8*n + 7. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:01 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*q + 51*q + 6*q + (0 + 0 + q)*(-4 + 2 + 3) + q - q - 2*q + (-2 - 1 + 2)*(-2 - 2*q + 2).\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let q = -10194 + 10236. Put 0.3, q, u in increasing order.\nAnswer: 0.3, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 1. Let q be v(1). Let z = 12 + q. Solve z*a + 2*o = -12, -o - o = 5*a + 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/1287 and -28\/45.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 88.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 38665814.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24 = -k - 3*l, -k - 5*l = 22. Suppose 3*m - 42 + k = 0. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 6 = 0. Suppose -2*u - 2 + t = 0. What is a in u - a**4 - 7*a + 3*a**3 - a**2 + 4*a + 0*a = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5 = -4*v, -v - 56*r = -55*r - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1044025313 (base 6) to base 9\nAnswer: -23376170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*i - 7 = -0, 5 = -2*v - i. Which is bigger: v or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3333 and 3333 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279 - 3?\nAnswer: -27c","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 8:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.594823622 to two dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13377770 to the nearest integer?\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65314 - 1532?\nAnswer: 63452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22376200 and 7425?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1069857350 divided by 5.\nAnswer: -213971470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22261505?\nAnswer: 5, 7, 636043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Does 16 divide (w - 5\/(-2))*28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.58\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3156029 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 290*y - 26378. Give j(91).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2247*s - 10. Let k be j(-9). Let p = k - 33791. Let i = p + 21578. What is i rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 6 (b) 0.9 (c) 3\/4 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3159 + -22167\/7. Let h = -37 + 52. What is the common denominator of x and 236\/70 + 3\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -3*h - 82, 9*o + 58 = 6*o - 5*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 0.132 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 838594 - 3.3?\nAnswer: 838590.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 8*t**2 + 31*t - 44. Does 32 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76290400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/25522 and 75\/397414.\nAnswer: 2781898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 23*s**2 - 42*s + 3. Let r be t(21). Solve r*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + c**2 - 178619629*c**3 + 178619670*c**3 - c**2.\nAnswer: 41*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4404392 is divided by 2025.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 21 - 15 = 0. What is the remainder when 133 is divided by 2 - 13\/k - 55\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/7 + 13334*a**3\/7 - 2535986*a**2\/7 - 5111966*a\/7 - 2562648\/7 = 0?\nAnswer: -6852, -1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = l - 3, -37*f - 15 = -5*l - 33*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -28*p + 33*p, -2*r + 2*p = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -105*m + 1785. What is a(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 - -2.05. Let b = -0.9 + z. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 522 (b) -4\/5 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 3*x - 9, 3*v + x + 3*x + 32 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:54 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 401, 923, 1641, 2543, 3617, 4851?\n\"Answer: -2*r**3 + 116*r**2 - 20*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k + 1. Suppose 5 = w + 2*i, -4*w - 2*i = 3*i - 11. Let b be v(w). What is the units digit of (-2 - b\/6)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 1296*b - 13362. Determine y(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -816620038 divided by -42980002\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.53385 months in years?\nAnswer: 19.5444875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + -28. Let t be 4\/(-14) + v\/(-28). Let g(r) = -r - 4. Let m be g(-6). Solve m = -t*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**2*w**3*y + 2*b**2*w - 3*b**2 + 647*b*w**3*y + 287*b*w**2 - 2*w*y - 1 wrt w?\nAnswer: -66*b**2*y + 3882*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05202 - -76.46202. Let f = a + -75. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -33*o + 9. Let i be m(-2). Let z = 102 - i. What is the least common multiple of 24 and z?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52277 times 1872?\nAnswer: 97862544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y**2 + y - 3. Let s be x(-3). Let d(c) = -c**2 - 2*c + 7. Let u be d(-5). Let g = u - -11. Solve 5*k + s*p - 2*p = -20, 15 = -g*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j + 20. Let p be c(2). Suppose p = 226*v - 211*v - 5145. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35078819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305189 + -191353694\/627. Let k = n + 7\/57. Let p = -1.6 + -0.4. What is the second biggest value in p, k, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/224)\/((-10)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813307607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-141*u**5 - 10*u + 10*u + 1441*u**5).\nAnswer: -1300*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29844769.\nAnswer: 113, 264113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + 40*m - 27. Let y be g(17). What is y rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18587 or 18550?\nAnswer: 18550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 299503212 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 + 4 = 2*z, -2*z = 4*a - 12. Let l(h) = -126*h. Let o be l(-1). Calculate the greatest common divisor of z and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3 + 2*z**2 + 4. Let q(g) = g**2 + g. Let u(t) = -t**3 - 7*t**2 - 7*t - 5. Let w be u(-6). What is w*q(o) - p(o)?\nAnswer: -2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.459104 months in centuries?\nAnswer: 0.01871592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001001101010 (base 2) in base 5?\nAnswer: -403111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723.94 rounded to the nearest ten?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 + 75*x**3 + 411*x**2 + 609*x + 270 = 0.\nAnswer: -18, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Let l be 1 + (-5)\/(75\/27). What is the biggest value in 4, l, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -496 + 245. Is c\/(2*4\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 114, 117, 104, 69, 6, -91, -228?\n\"Answer: -r**3 + r**2 + 17*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 4, b: 2}. Give prob of sequence bgb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36 + (0 - (2 - -2)). Let o = 37 - m. What is the remainder when 5 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*a - 3*a = -13, 2*r - a + 9 = 0. Suppose 2*g = 2*x - 6*x - 10, -3*g + 5*x - 15 = 0. Let s = g + 6. Sort 0, s, r.\nAnswer: r, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/12 - 2*x**3\/3 - x**2. Let t be 595\/55 - (-2)\/11. Suppose -t*y + 30 = -5*y. Give r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 - j + 1. Let d(y) = 5*y**4 - 3*y**3 - 10*y**2 - 7*y + 5. Let a(i) = d(i) - 5*f(i). Suppose a(c) = 0. What is c?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/21 + 144224*l**3\/21 - 866593930*l**2\/7 - 1486022296*l\/3 + 13001793640\/21 = 0.\nAnswer: -5, 1, 36058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1120 - -1150. What is the greatest common divisor of 160 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-16) - 9329\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169388 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -51, -127, -201, -273, -343, -411, -477?\n\"Answer: t**2 - 79*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + w**2\/2 + 10*w + 1. Let x be v(0). Suppose -2*k = -0*k - 3*d - x, 10 = -2*k - 2*d. Which is smaller: 0.12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x - 4. Let m(d) = -2*d**2 + 4. Let z(b) = -2*m(b) - 3*t(b). Let q be 5 - (-2 + 10)*1. Calculate z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 4090*a**2 - 2*a + 4090.\nAnswer: 2*(a - 2045)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 - g**2)*(-500 - 1158 - 602 - 267).\nAnswer: 5054*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 196*l + 94*l + 105*l - 8*l**2 to g*l**3 + j*l + z + d*l**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = 2*o - 5*y, -4*o - y - 1 = 0. What is the remainder when 11 is divided by 7 + 1 + 0 + o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**4 - 5*t**3*w - 2*t**2*w - 110*w with respect to t.\nAnswer: 20*t**3 - 15*t**2*w - 4*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -2*c - 1\/10*c**5 + 1\/6*c**3 - 1\/10*c**6 + 0 + 1\/2*c**4 + 1\/42*c**7 - 3\/2*c**2. Factor s(v).\nAnswer: (v - 3)*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/((-7)\/10).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 472999391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7388, 9, -5, -0.5 in ascending order.\nAnswer: -7388, -5, -0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -14 + -1218 + 1225.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let m be a(-2). Let h be -1 - (-10)\/(m - 0). Suppose -140 = -2*l - 4*q, 9*l + q - 386 = h*l. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, y: 2, l: 1, w: 3, j: 1}. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1463812 and 105\/92.\nAnswer: 1463812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:25 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 48733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14251171, -14251172, -14251173, -14251174, -14251175?\nAnswer: -14251176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**4*p**3 - 662*d**3*p**3 - 2*d**3*p + d**2*p**2 + 3*d*p + 4*p**3 + 28*p**2 wrt d?\nAnswer: 96*d*p**3 - 3972*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 211?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15068.73 + -15004. Let q = i + -67. Round q to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120332 + -31102?\nAnswer: -212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 200?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 66*w - 159*w + 70*w + 50*w.\nAnswer: 27*w + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 284, 426?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10816 divided by 26\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 + 442. Let l be ((-140)\/c)\/(-4 + 21). Which is smaller: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 (base 9) in base 12?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2976479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 563 = -3*g, -x = g - 203 + 12. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjee when four letters picked without replacement from {j: 7, q: 4, e: 4}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 782530000 to the nearest one million.\nAnswer: 783000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/5 (c) -1\/2 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/48 - (180\/16 + -10)) + 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 24, -7\/618, -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**0)*p)\/p*p**(-3)\/p*p**1\/(p**(-8)*p)*(p\/(p*p*p**6*p)*p*p**(-5))**(-36\/7) assuming p is positive.\nAnswer: p**(453\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1296588995 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -767776*d**3 + d - 448647 wrt d?\nAnswer: -4606656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 8*a**2 - 3*a + 28. Determine f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1603 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 1 - (-47 - 12\/3). Suppose 0 = 2*y - 0*y - 3*i - 34, 3*y - w = -5*i. Suppose -y*k + 14*k + 99 = 0. What is the least common multiple of k and 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021530159 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/2, 6, -56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-2432)\/(-184) - ((-2)\/(-29) + (-132)\/(-7337)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14271346*a**5 + 15618705*a.\nAnswer: -285426920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-2*1)\/(((sqrt(18) + sqrt(18) + sqrt(18)*1 + sqrt(18))*-5)\/sqrt(3)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -49 - (-1 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 17*s**2 - 22*s + 68. What is the remainder when c(10) is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g - 550\/3*g**3 + 0 - 1\/3*g**4 - 75625\/3*g**2.\nAnswer: -g**2*(g + 275)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 7*i**2 - 12*i - 2. Let r be q(-4). Let f be r\/3 - (2 + (-341)\/165). Sort 0.16, 2\/5, f.\nAnswer: f, 0.16, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q + 105*q = 241*q + 2059 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991974109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -213502*w + 8753580. Determine j(41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6213543?\nAnswer: 3, 7, 43, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88 - 147 - -126) + -51.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + (-36)\/(-15). Let n be 16\/9 - (-2)\/9. Suppose 3*q + 1 = -n. Put -5, k, q in descending order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 10:12 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415165 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 61 = -245. Let r = t - -457\/5. What is the third smallest value in 1\/4, r, -4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222120310121 (base 4) to base 15.\nAnswer: e97555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r**2 + 49689*r + 18260454 = 0 for r.\nAnswer: -14458\/5, -421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274777\/13895 - 214\/397. Let d = -103\/5 - p. Let w = -9 + 11. Which is the closest to d? (a) 3 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 70.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*q**2 + 24*q**2 - 38*q**2)*(3*q**2 - 2 + 2) + (1 + 7 - 6)*(4*q**4 - 2*q**4 + q**4) as y*q + b*q**2 + x*q**3 + j + r*q**4 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1230687*m**2*w**2 + 84528*w**2 wrt m.\nAnswer: 2461374*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62929.9756 rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*u = -3138, -r + 6*r = u + 3940. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2062 - -1)*(-2)\/58. Let l = -71 + j. Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, -167\/5, -0.5, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/7 - 9*v**4\/7 + 149*v**3\/7 + 27*v**2 - 580*v\/7 - 612\/7 = 0.\nAnswer: -17, -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*1*6 - ((sqrt(475) - (-5 + (sqrt(475)*2 - sqrt(475) - sqrt(475)) + sqrt(475) + sqrt(475))) + sqrt(475)))*3)**2*-4.\nAnswer: -616500 + 10800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -75. Let j = x + 102. Let k = j - 73.9982. Round k to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/318530 and -119\/18030.\nAnswer: 955590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4369*q - 21763. Determine b(5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Let f be (-3)\/(3\/(-16)*u). Let d = f - -31. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - d - 7)*(3*d - 11*d - 16*d).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -68380 divided by -20\nAnswer: 3419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 4 + -3 - (18 + -18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -413 and -413 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102352 - 102352 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 110*q**2 - 114*q + 120. Calculate the remainder when 227 is divided by c(56).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 13*w**2 + 54*w + 97. What is r(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 2*f**2 - 1. Suppose 0 = 3*r - 2*r - 3. Let c be q(r). Let b be 78\/c + 4\/16. Solve 4*i + 18 = 4*p - b, -4*i - 19 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 738, 758, 786, 822, 866, 918, 978?\n\"Answer: 4*d**2 + 8*d + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26806333 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -30. Which is bigger: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 83909.84 millimeters?\nAnswer: 8390.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 162*m - 7. Determine f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 - 36*q**2 + 2*q + 36 = 0. Calculate q.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 35. Let w be i(-19). Let x = 46 + w. Let u be ((-44)\/x - 5)\/((-1)\/(-22)). Solve -2*d + 4*m + 12 = 0, -5*m + u = 4*d - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 - 14)*(-7)\/(-1). Let b be p - (-4 - -1 - -2). Let t be -1*b\/((-18)\/(-33)). What is the highest common divisor of t and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let x be (-6)\/(-21) - (-4)\/(-14). Let z be -4 + 2\/(2 - x). Let p(v) = -2*v - 1. Give z*s(c) - 2*p(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 4 (b) 0.1 (c) 0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10)*6)\/(18\/(810\/3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-325))\/((-8)\/(-120))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 974005 and 26145?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 2102122313?\nAnswer: 2102122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-34 - (25 + -44))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/15 - -7\/5. Which is the third smallest value? (a) -0.2 (b) s (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42406, 42419, 42444, 42487, 42554, 42651?\nAnswer: 42784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -32*b - 0*b + 30*b + 17, -3*z - 37 = -2*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 15 + 7. Suppose 3*p + r - 23 = -4*r, 4*r = h. Let s(v) = -v**2 + 3*v - 3. Calculate s(p).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4380669 and 890.\nAnswer: 43806690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1709232531 + -1709232541.43825949. Let b = k - -25.43825975. Let h = b + -15. What is h rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*l - 3, l + 11 = 3*b - 10. Suppose 3*m = -b*m + 1404. Let g = 46 + 7. Calculate the remainder when m is divided by g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5275 is divided by 1663?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + 13 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 310, 620, 930?\n\"Answer: 310*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19357889 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/8 (b) -1 (c) 2 (d) 10\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -0.5 (b) 2\/9 (c) -5 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 1324 = 526. Let v(p) = 15*p + 21*p - f*p + 22*p. Let d(w) = 2*w**2 + 3. Calculate d(v(k)).\nAnswer: 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 19*l**2 + 32*l + 42. Let u be y(-17). Suppose 18 = -n + 199. Suppose h = n + u. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 38*o - 35*o + 4, 0 = t - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*27\/6. Suppose -z*n + 16 = -n. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71\/429 - -8\/33. Let q = 6355 + -6352. Which is the fourth smallest value? (a) -7 (b) q (c) -2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 2*f**2 - f + 33. Let d(x) = x**3 - 1. Determine 4*d(c) + g(c).\nAnswer: c**3 - 2*c**2 - c + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 100, 2\/3, -29.8, -36, 0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 15. Let v = 3 + c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -246539, -246502, -246457, -246404, -246343, -246274?\n\"Answer: 4*q**2 + 25*q - 246568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 not equal to 483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -n + 1 - 0, n - 2*k = 4. Let m be (-2 - (-8)\/10)*100\/(-6). Solve -n*y + 4*s + m = 0, -2*y = 2*y + 4*s + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 + 4*f**2 + f - 3. Let u(m) = m**2 + 19*m + 21. Let d be u(-18). What are the prime factors of j(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 1762396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*k*y**3 - 3*k*y**2 + 2*k*y - k + 13*y**5 + 50*y + 9 wrt y.\nAnswer: 1218*k*y - 6*k + 260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-10)*88\/(-33). Suppose 3*h = -4*k + 285, 7*h - 3*h + i = 0. Calculate the greatest common factor of k and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 55*l**3\/2 - 3*l**2 + 6*l - 17. What are the prime factors of w(4)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41220 and 2743420?\nAnswer: 24690780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + y**2 + 16*y + 7 + y. Let d be i(11). Let k(f) = -271 - f**2 + d. Calculate k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -856*i + 10265 + 1719 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3 - 350*w**2 - 694*w - 346 = 0.\nAnswer: -173, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/2)\/8*-3*(-116)\/696?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 51*t**2 + 12*t - 3. Let m be f(7). Suppose 8*w + m = 28*w. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = -114. Let m be (114 - -18)*(-3)\/4. Let x = c - m. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*r + 11 + 55, -2*d + 4*r = -48. Calculate the highest common factor of d and 179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/3 + 14390*t**2 = 0. Calculate t.\nAnswer: 0, 21585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a - 10, 2*a - 382 = 4*x. Let d = 555 + x. What are the prime factors of d?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 915632 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1136621 and 0.2.\nAnswer: 1136621.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2020 + -2008. Suppose 0 = -3*f - 2*f + 780. What is the greatest common factor of s and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {n: 2, w: 4, d: 2, c: 2, r: 8, a: 1}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/44*-1*90\/(-5).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p + 6. Let r(d) = 4*d + 6. Let b(z) = -5*f(z) + 4*r(z). Let k be b(11). Solve 2*i = 2*a - 5*a - 2, -5 = 3*a + k*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 14. Sort -4, r, 1 in ascending order.\nAnswer: r, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7873c3 (base 16) to base 8\nAnswer: 36071703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2381, 18904, 63735, 151028, 294937, 509616, 809219, 1207900?\n\"Answer: 2359*y**3 + 10*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 2*z**2 + 2*z - 1. Let a be b(1). Solve -i - 5*d = -25, -2*i - 3*i - d + 5 = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -54 + 32 - 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 57 - 30*h + 34 + 35 - 48*h.\nAnswer: -72*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 + -4.833. Let y = q + 0.133. Which is the second smallest value? (a) 3 (b) 5 (c) y (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 6*s**2 - 5*s + 7. Suppose 0 = 2*l - 3*l - 5, 9 = 4*c - 5*l. Let f(n) = 2*n**3 - 5*n**2 - 4*n + 6. Give c*x(v) + 5*f(v).\nAnswer: 2*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.171 + 0.129. Let h = w + -9.4. Is -2\/9 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3 (c) 0.2 (d) 11.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0*q**5 + 0*q**2 + 3*q + 0 + 1\/42*q**7 + 0*q**3 + 0*q**6 - 1\/3*q**4. What is the third derivative of i(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60579993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0f907 (base 16) to base 11.\nAnswer: -5a56005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) 3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 78960402.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/174, -5400, -1, -4.\nAnswer: -5400, -4, -1, 1\/174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -91, -140, -191, -244, -299?\n\"Answer: -q**2 - 44*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02420862 + 0.025248. Round k to five dps.\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**7\/7 - u**4 - 3*u. Find the third derivative of z(x) wrt x.\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292097 is divided by 390?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 101, 104, 107?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 17*l - 378. What are the prime factors of s(-26)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = 108. Calculate the greatest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16661819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(637) + 0)**2 - (-2*sqrt(637)*-6)**2.\nAnswer: -91095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16148 is divided by 113.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/70 - 1012\/(-266)) + -5. What is the nearest to 0.06 in r, -9, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/24 - 2*q**2. Let z be g(5). Let t(d) = -d**2 + 6*d + 7. Let x be t(z). Solve 0*b + x = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h + 43. Let k(a) = -2*a - 11. Let l(p) = 9*k(p) + 2*u(p). Determine l(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-32))\/((9\/(-3))\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 803 - -1bfc2?\nAnswer: 1c7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5173683?\nAnswer: 3, 31, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 4)\/(3\/12). Let d = f - 4. Let l be (-130)\/(-5) - 4*(-1)\/2. Solve -v - 5*a - 4 + l = 0, 3*v - 2*a - 4 = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150444 by -18.\nAnswer: 8358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332412076 to the power of 1\/3, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 4*l - 5*l + (6*l - l - 3*l)*(-3 + 5 + 0) + 26*l + 195 - 195 - 4*l + 4*l + 4*l + 3 - 2*l - 3 + (2*l + 0*l - l)*(0 + 2 - 4) + 7*l + 9*l - 6*l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 12, 31, 56, 87?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.0879542 seconds?\nAnswer: 0.0003022095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-24) - 11)\/((108\/40)\/27)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001382148 rounded to five decimal places?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -15. Find the second derivative of 0*r**t + 2*r**5 + 2*r - 3*r**5 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2496, -4992, -7488?\n\"Answer: -2496*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2549242 and 0.3?\nAnswer: -764772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4137*u + 1125 + 1257 = -1413 - 342 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v + 4. Let r(m) be the third derivative of -m**5\/60 + m**4\/12 + m**3\/2 - 3*m**2. What is r(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*o = 10, -2*o = 3*s + o + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 23 = -3*o. Let l be (-16)\/(-5)*(-5 - o). Let p be 262\/2 - 1 - 2. What is the highest common divisor of p and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2025)\/30)\/27)\/(2\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7480*o + o**2 + 22453*o + 2*o**2 - 7489*o - 7484*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 60. Let b be h(-14). Let s(t) = -34*t - 8. Let d be s(b). Let z = -127 + d. Which is smaller: 9\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-676)\/(-273) + ((-4)\/(-12) - 0)*2\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoy when three letters picked without replacement from {h: 5, y: 4, o: 1, t: 9, d: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.919 + 53. Let n = r + -1.151. Let h = 1 + n. What is h rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 2. Let i(m) = 3*m - 1. Let j be 6*-1 + (-1 - -1). Let p(t) = j*z(t) - 7*i(t). What is the least common multiple of p(5) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 1505*n**2 + 35425*n - 33915.\nAnswer: -5*(n - 21)*(n - 1)*(n + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-420)*7*(-25)\/35?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 304, 302, 300, 298?\n\"Answer: -2*u + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*j**2 + 628*j**2 - 1260*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6.2. Put 4\/9, 0.5, v in ascending order.\nAnswer: v, 4\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0533 + 0.053294788. What is g rounded to seven decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -84. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.2562 microseconds in minutes?\nAnswer: 0.00000645427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - -132 - (-2 + 9)) + -60.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 6*m + 8. Let r be n(-7). What is the common denominator of ((-2)\/(84\/(-17)))\/((-2)\/(-18)) and ((63\/2)\/(-3))\/r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -52. Which is the biggest value? (a) 3 (b) 14 (c) t (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2440 and 0.05586289.\nAnswer: 2440.05586289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*((-8)\/52)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*n - 1115 = 97*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3080, -6147, -9172, -12125, -14976, -17695, -20252, -22617?\n\"Answer: 5*l**3 - 9*l**2 - 3075*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*w**2 + 467*w - 467*w + 282*w**2 + 284*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}