diff --git "a/data/dm_maths/full_data_2/2080_11255.jsonl" "b/data/dm_maths/full_data_2/2080_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2080_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33509, 33506, 33501, 33494, 33485?\nAnswer: 33474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t**3 - 12*t**3 - 6*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/105, 1\/27, -9725 in descending order.\nAnswer: 1\/27, 2\/105, -4, -9725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 12*g = 36. Solve -6*q = -g*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -75?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129.006 + -0.006. Let k = 129.0194 - c. What is k rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 x when four letters picked without replacement from {k: 1, x: 1, y: 3, u: 5}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20842785?\nAnswer: 3, 5, 61, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147.5 - -560.5. Let g = s - 713. What is the biggest value in g, -38, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3036 divide 201982044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b**3*n + 5*b**3*r - 5*b**2*r + 6*b**2 - 4*n*r wrt r?\nAnswer: 5*b**3 - 5*b**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {z: 1, x: 8, h: 2, v: 5, e: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 - 229*z + 80. List the prime factors of h(50).\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18059\/1926 - 177\/107. Find the common denominator of -3\/326 and t.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -589*n - 249694 + 210231 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 334889 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(208) + 1 - (sqrt(13) - (sqrt(65)\/(sqrt(15)\/sqrt(3)) - sqrt(13)) - (0 + sqrt(325)))) + 0)**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-12))\/(-1) + (-7)\/(-21). What is the biggest value in 13, w, -3\/7, -1\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86174 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -4149\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(119) - sqrt(119))*-5)\/((sqrt(126)\/sqrt(2))\/sqrt(9)*-6).\nAnswer: -95*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -71, 3, -6 in decreasing order.\nAnswer: 3, -1, -4, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*48*(-17)\/(-11424) + 45\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14\/5 (b) -0.031 (c) 2 (d) 6 (e) 1 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48073741 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111096810 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let y be ((-4)\/(-66))\/((-28)\/(-7212)). Let s = y - 108\/7. Which is the third smallest value? (a) s (b) w (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9823.865 + -9897. Let m = -73 - k. Let j = 0.1257 - m. What is j rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 7 + 2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1681*b + 5 + 1669*b - 1.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 4*c + 0*c + 30 + 0*c**3 + 17 + 3*c**3 - 11*c**2. Let h be t(11). Suppose 3 = 3*j - 2*j. Solve w = -w - h*y + 15, 2*w - j*y + 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1506.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 - 237. Let g = 21 + m. Factor g*q**2 + 4 + 23*q**2 + 40*q + 49*q**5 + 235*q**3 + 175*q**4 + 0*q**5.\nAnswer: (q + 1)**3*(7*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*4\/((-8)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1875 - 1873. Let x(n) = 10*n**2 - 2*n + 1. What is x(u)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 15*n + 13. What is the remainder when b(-13) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 42. Let a be c(-4). Let d be ((-48)\/(-198))\/a*(-1)\/2. Are -1\/5 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**9))**22 assuming b is positive.\nAnswer: b**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17046, 1\/43, 28 in descending order.\nAnswer: 28, 1\/43, -1\/17046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24235?\nAnswer: 5, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -3 (c) -263307 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((5 - 6) + (6 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d**2 + 79 - 79)*(3*d - 2*d + d)*(1 + 2*d - 1) - 37*d**4 + 20*d**3 - 20*d**3.\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 21*c - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*p + 46, 40 = 3*g - 4*p + 6. Let z = g + -3. Suppose -o = -i - z*o + 10, -2*o = 4*i - 16. Solve -5*n + 25 = 5*q, i*n = 6*n - q - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 42*y**2 + 24*y - 2836. Calculate w(-44).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What comes next: 35900, 143623, 323164, 574523, 897700, 1292695?\nAnswer: 1759508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * -0.46.\nAnswer: -37.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 9*t**2 - t**4 + 8*t**2 + (-1 + 1 + t)*(t**2 + t**3 - t**2) + t**4 - 4*t**4 + t**4 to z + h*t**2 + b*t + m*t**4 + l*t**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*h + h + 8, 3*h = -2*k + 17. Suppose q - 3 - 1 = 0, 5*d - 10 = -h*q. Let g(l) = -l**3 - l**2 - 3*l - 1. What is g(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*s = 264*s - 220 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 817422\/11 - 74196. Let i be ((-6)\/(-2))\/((-3)\/(-113)). Let z = i - m. Find the common denominator of z and -14\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(30)\/(sqrt(5)*-1))\/(-3*1*sqrt(2)))**2.\nAnswer: 4*sqrt(3)\/3 + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of (1410\/12 + -1)*(-12)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10)*10 + -3. Suppose 3*v - 4*v + 2*o = -2483, -5*v + w*o = -12439. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 - 194*d**3 + 18818*d**2 - 1825346*d\/3.\nAnswer: 2*d*(d - 97)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**4\/4 - 77*y**3\/6 + y**2. Let l be u(21). What is the units digit of l + 5 + 3 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 - 1)*(-13*u**4 + 7*u**4 - 29*u**4) to the form g*u**3 + v*u**4 + y*u**2 + s*u + z and give v.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104334867.\nAnswer: 3, 7, 13, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 - 216. Suppose -c*v + 5*v = -4*v. Suppose 4\/5*i**5 + v*i**4 - 8\/5*i**3 + 0*i**2 + 4\/5*i + 0 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3343 = -2*i - 834, -3*y + 8789 = 7*i. What is the highest common factor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-7)*(-5)\/(-2). Let l(g) = -g**2 - 15*g + 18. Let s be l(n). What is the greatest common factor of 36 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/(c**(-3)\/c))**24)**(-10) assuming c is positive.\nAnswer: c**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 693677, 1387345, 2081009, 2774669, 3468325, 4161977, 4855625?\n\"Answer: -2*b**2 + 693674*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*n + 120*n - 706574 = 0. What are the prime factors of n?\nAnswer: 32117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9))\/2*276\/736*-34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 + k. Let b be a(0). Let u(v) = v**3 - v**2 + 2*v - 4. Let r(x) = -x**3 + x**2 - 3*x + 5. Let l(g) = 2*r(g) + 3*u(g). Calculate l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 7. Let a = 12 + -7. Let c(b) be the second derivative of -b**3\/3 + 13*b**2\/2 - 7704*b. Give a*f(m) + 3*c(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*j + 35934 = 34251 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {t: 4, l: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/(-75) + 4\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24030404 + -41?\nAnswer: 24030313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166*(-6)\/(-90) + -11.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 197 (b) 46 (c) -2\/15 (d) -2\/7 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9061 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 27*n + 20. Sort -2, 3, n.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 - 6 - 3 + 8 + 1 + 2*q in the form z*q**2 + w + x*q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 + (-6)\/10. Let y be ((-6)\/(-4))\/(u\/(-12)). Let x be (-1)\/(-2) - (-3)\/2. What is the greatest common divisor of y and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -864*p + 874*p - 4*m, 0 = 3*m + 48 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/9 - -43\/144. Is v != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5227, 5241, 5259, 5281?\n\"Answer: 2*b**2 + 8*b + 5217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*l - 3*l - 3 - 8*l**3.\nAnswer: -8*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -19 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 72, 206, 426, 750?\n\"Answer: 3*v**3 + 16*v**2 - 3*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/2 - 3)*6. Let f be (-8)\/36 + 330\/i. What is the tens digit of 2\/f + 231\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 100 = -4*p + 188, -3*w + 2*p + 906 = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1011, 2152, 4047, 6696, 10099, 14256, 19167?\n\"Answer: 377*u**2 + 10*u + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:42 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f**3 - 6*f**2 + 6*f + 24. Let x(z) = -35*z**3 + 13*z**2 - 13*z - 49. Let d(h) = 13*l(h) + 6*x(h). What is the first derivative of d(g) wrt g?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q**2 + 0*q**2 - 2*q**2)*(4*q - 4*q - q) + (-2 + 2 + 3*q)*(q**2 - 2*q**2 + 3*q**2) as l*q + s + i*q**2 + b*q**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 72, 173, 338, 579, 908, 1337, 1878?\n\"Answer: 2*s**3 + 14*s**2 - 7*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-10915623.\nAnswer: 32746869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26015369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**5\/c)\/c))\/c*c\/(c\/(c\/(c**8\/c*c)))*((c\/c**(-1\/3))\/c)**(10\/11) assuming c is positive.\nAnswer: c**(-320\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15641, 15667, 15693, 15719, 15745?\nAnswer: 15771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -388 + 699. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20933323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osqisssfssmfsmo. Give prob of sequence qoom.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*x - 3*z, -4*z - 51 = -5*x - 16. Let d be (-3 - (-60)\/9) + (-2)\/x. Let l = -55 - -52. What is the closest to -0.3 in 0.08, l, d?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 226, 482, 758, 1054?\n\"Answer: 10*n**2 + 226*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/198 and 107\/163010760.\nAnswer: 489032280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -173, 1, -1408, 4, -1\/7?\nAnswer: -1408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 30. Let t be 2 + (-227)\/(-10) - 567\/(-1890). Solve o*u - 20 = t*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:02 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6. Let x(s) = -s**m + 0 - 19*s - 7 + 26*s. What is x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32970665 by -1631.\nAnswer: -20215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = u, -2*m = 2*u - 4 - 4. Sort 6, m, -6, -1 in descending order.\nAnswer: 6, -1, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037467217 rounded to the nearest 100000?\nAnswer: 2037500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 193\/2 + 11\/22. Let k = -19 + s. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25763 + 0.04237. Let m = -15 + 15. What is the fourth smallest value in q, -0.2, m, -135?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2200752 and 8.\nAnswer: 2200752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - i + 3*i)*(-i**2 - 2*i**2 + 7*i**2) - 14*i**3 - i**3 + 4*i**3 + (2*i**3 + i**3 - 5*i**3)*(4 - 2 - 4).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 369 + -1?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 11}. What is prob of sequence bggb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-150)\/(-125))\/((-8)\/10))\/((-81)\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4078162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -496*n**2 + 116*n**2 - 176*n**2 - 161*n**2 as w + m*n + b*n**2 and give b.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -78600 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzz when three letters picked without replacement from rzzrz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 6*h**3 - h**3)*(-6*h + 2 + 0*h - 8*h) + (-h - h + 5*h)*(h**3 - h**3 - h**3) - h**4 - 2*h**4 + 4*h**4.\nAnswer: 96*h**4 - 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2. Let w(a) = 30*a + 28. Let x(q) = 14*q + 13. Let n(k) = -6*w(k) + 13*x(k). Calculate n(s(u)).\nAnswer: 10*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 6*s - 1. Let d be p(3). Let m be -2*(d\/7 - 0\/(-3)). Determine q so that -4\/7 + m*q**2 + 2\/7*q = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5 + 4 + 3 + 9*g**2 - g**3 - 7*g - 2*g**2. Let u(s) = s**3 - 7*s**2 + 7*s - 2. Let c(z) = -4*f(z) - 5*u(z). Calculate c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose 4*f - 4*x = -556, -k*x + 9*x - 139 = f. What is f rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 34481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17096823.9999991 + -17096817. Let b = -7 + i. Round b to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7679765 and 101450?\nAnswer: 76797650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17618 is divided by 3519?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17203 - 35656 + 16821 + ((-1 + 1 + 1)*(0 + 0 + 2) + 2 + 3 - 2 + 2 - 4 + 1)*(-3 + 3 - 1))*(a + 0*a - 3*a).\nAnswer: 3272*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39808162?\nAnswer: 2, 19904081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.066? (a) -123 (b) -1.63 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 34*j + 21. Let n be 5*((-4)\/((-40)\/7) - (-52)\/104). What is v(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8147 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*-5*3*sqrt(1900).\nAnswer: 5 + 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooolooodo. What is prob of sequence oold?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.199 - 14.899. Let u = -15.7 - s. Which is smaller: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820*z + 61027*z**2 - 820*z.\nAnswer: 61027*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (275803 - 24)*((-81)\/21 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwq when three letters picked without replacement from {h: 2, w: 1, s: 1, q: 2, y: 1, n: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.18784 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-224*f**2 + 223*f**2 + 8*f**3 + 25*f**3 - 1)*(f**2 + 0*f + 0*f).\nAnswer: 33*f**5 - f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, t: 4}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*t - 2, 4*b - 4*t = -2*t - 44. Let d = -13 - b. Is (14\/d)\/(2\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*a - 8 = -4*a, -4*k - 2*a - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935294773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:36 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*c**3*n**2 - 2*c**3*n - 11*c**3*s + 4*c*n**2*s + 3*s wrt n?\nAnswer: -16*c**3*n - 2*c**3 + 8*c*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*l**3 - 7654*d*l + 20626395*l**3 + 18*l**2 + 2 wrt l.\nAnswer: 6*d + 123758370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 413 + 774. Let b = 1187.02473 - i. Let a = -0.025 + b. Round a to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426\/41 > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-21))\/((-12)\/(-42)). Find z, given that z**3 + 16*z**w + z**3 + 2*z**3 + 16*z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45)\/(-5))\/18*2414\/1 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Let c be -2 + 4 + (-3 - -2). Suppose 2*w = c + n. Solve 4*s - 1 = w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/7 + 62*a**3\/7 - 9*a**2.\nAnswer: a**2*(a - 1)*(a + 63)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 8*q - 4. Suppose 3*b - 20 = -2*j + 2, -4*j = 3*b - 32. Determine t(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97721430 divided by 5\nAnswer: 19544286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9) + (-33)\/(-54). Put 2, 5\/4, f in increasing order.\nAnswer: f, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -773\/1029414 - -206621088647\/1178679030. Let n = w - 53\/229. Let g = n + -175. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 30 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 3*f**2 - 6*f**2)*(-44014*f + 104165*f - 45890*f).\nAnswer: -14261*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 56 - 30 - 26.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 14. Let t = 1 - 1. Suppose -3*r - 5*s - 28 - 13 = t, -2*s = 8. Let w be u(r). Solve -w*d + 10 = 2*b - 3*d, 2*d - 10 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3))\/g*g**(-1\/4)\/g)\/(g\/(g**3\/g)*g**(2\/7)*g*g) assuming g is positive.\nAnswer: g**(-155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 498465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0*j - j + 403 - j**3 - 403. Let z be s(0). Suppose 5*t - q = 209, z = 3*t + 4*q + 54 - 161. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 6*n**2 + 8*n - 3. Let a be f(7). Let i(l) = -l**2 + 4*l. Let m be i(a). Suppose m = -b + 2*b - 37. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8236 - 8230.8. Which is smaller: 0.16 or r?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a36 + 3c2ca?\nAnswer: 3b694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001003998303 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63236447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1 - (19 - 29)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.38 + 0.348. Let c = -174 - -172.2. Let d = c + o. Round d to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/6 - 2*o**3\/3 - o**2\/2 - 10*o + 57. Let m(a) = 6*a**2 + 11*a + 2. Give -8*i(h) - 3*m(h).\nAnswer: -2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -17. What is the thousands digit of (2\/6)\/(a*15\/697905)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -10, -28, 8, 1\/6, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24739 - -31372. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193857145.\nAnswer: 5, 38771429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w + 2 = 0. Suppose -d - 1 = 3. Let y(a) = a - 1. Let q be y(d). Sort w, q, 1 in descending order.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -246, -243, -244, -249?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**4 - 5*u**3 - 35*u**2 + 22*u**4 - 5*u**3 - 12*u**4 as s*u + j + x*u**2 + o*u**4 + a*u**3 and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1071, -2140, -3209, -4278, -5347?\n\"Answer: -1069*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/180 + x**5\/30 - x**4\/12 + x**3\/9 - x**2\/12 + 17*x. Solve r(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/15 + 122*p**2\/5 - 1580*p\/3 = 0.\nAnswer: 0, 25, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 115\/7*l**7 + 0*l**5 + 0*l**4 + 0*l**6 - 156 - 59*l**3 + 0*l + 0*l**2. Find the third derivative of t(u) wrt u.\nAnswer: 13800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2 + 102*q\/5 + 24\/5.\nAnswer: 3*(q + 2)*(15*q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65460 is divided by 1983.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004272 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-52*(-3)\/6 - 170\/(-17).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1886*w + 47*w**4 - 11*w**4 - 3*w**5 - 150*w**3 - 2021*w + 252*w**2 = 0. What is w?\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821545 is divided by 3656?\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 6) to base 11\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 483 + -245. Let m = s - 177. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -27*s**3 + 4*s**2 + 16*s - 4. Let j(t) = 114*t**3 - 17*t**2 - 64*t + 17. Give 2*j(d) + 9*u(d).\nAnswer: -15*d**3 + 2*d**2 + 16*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*k - 26*k + 12*k)*(-4*k + 2*k + k)*(k - k - k**2) to the form h*k**2 + n*k**4 + m*k + u*k**3 + q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 661396517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8658657, -8658659, -8658661, -8658663?\nAnswer: -8658665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**3 + 39*n**2 + 57*n - 27. Give u(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from ykkonzkkyn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3914940 divided by 55140\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 10252358 and 10252359 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289474 is divided by 96465?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a21 (base 12) to base 4.\nAnswer: 112321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 + (-1 - 0). Which is the nearest to -3? (a) g (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2.194.\nAnswer: 4.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 k when four letters picked without replacement from kbakkbk.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:42 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3801, -15186, -34161, -60726, -94881, -136626?\n\"Answer: -3795*t**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 3*g**4\/2 - 7*g**2\/2 + 6*g - 381. Let o(n) = -3*n**3 + 4*n - 3. What is 5*o(p) + 3*v(p)?\nAnswer: 3*p**3 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b + 0*b)*(4 - 5 - 1)*(124*b - 37*b + 6*b).\nAnswer: -372*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**2 + 4*q - q - 3*q to o + z*q**2 + l*q and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2423545 and 25.\nAnswer: 12117725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (-2*sqrt(88)*-4 - sqrt(88)))\/(-2*sqrt(8)*2) - (3 + (sqrt(297)*6)\/sqrt(3)).\nAnswer: -20*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:30 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 67*a - 23. Let w be p(-30). Let t = -226 - w. Solve 4*u + v - t = 0, -8*u + 3*u - v = -9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -b + 28. Suppose -b*z - 148 = -4*y, -4*z = 3*y - 2*y - 57. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*b = -3*r + 150, 3*b = 5*r - 279. Calculate the remainder when 213 is divided by r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 33*y - 17. Let l(d) = 2*d**2 - 67*d + 35. Let u(z) = -3*l(z) - 5*s(z). What are the prime factors of u(28)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77944577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28 - 40*r + 63 - 126 with respect to r.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (156\/20 + -6)\/((-1)\/(-5)). Suppose 165 = 5*b - 195. What is the greatest common divisor of a and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -229, -456, -681, -904, -1125?\n\"Answer: j**2 - 230*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19171, 38337, 57503, 76669, 95835, 115001?\nAnswer: 134167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 94351640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 38*f - 983. Calculate s(29).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10))\/(12\/(-20) - -1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -5. Let f be 1 - 4\/(h\/9). Suppose 2*d - 2 = -4*p, -3*p - 22 = -5*d - 56. Solve -4*g = -x + f, 3*x - 2*g - 4 = -p*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -3033131?\nAnswer: -3033322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2254 and 8653.\nAnswer: 19503862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 0*c + 4*v + 6 = 0, 2*c - v + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 30741\nAnswer: -5\/30741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 1 - 1)*(-55*a**2 + 21*a**2 + 27*a**2 + 11*a) + (5*a**2 + 2*a**2 - 5*a**2)*(a - 5*a - 2*a).\nAnswer: -19*a**3 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-4) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*b + 132*b = 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8342070 and 5280?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:27 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*b = -196*b - 330 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18560585 less than or equal to -111363515\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9222954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21571285?\nAnswer: 5, 59, 83, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185517*p - 10350*p**2 - 185517*p.\nAnswer: -10350*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, c: 1, p: 1, i: 1, v: 2}. What is prob of sequence rv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46.6, 3, 1\/5, -2, 850\/31.\nAnswer: -2, 1\/5, 3, 850\/31, 46.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -751, -1501, -2251, -3001?\n\"Answer: -750*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i + 5. Suppose 0 = 5*l + 6*c - 1, -5*l - 4*c = -9. What is p(l)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066\/(-511) + (-754)\/(-154) + -2 + 80\/35?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 2, v: 1, r: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*c - 3*v, 2*v + 3 = -2*c + 1. Suppose 0 = q - c + 2. Solve 2*f = -2*a - q*f - 4, -2*a + 4*f = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46298 or 46300?\nAnswer: 46300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1539383, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 2*b - 5. Let y = b + 44. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 - 4*l**2 + 3*l - 3. Let f be z(2). Let x(k) = k + f*k - 10*k. Let s(a) = -17*a + 1. Give s(x(t)).\nAnswer: -34*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.9 + 1.9. Let k(o) = o**3 + 4. Let w be k(0). Let y be (1 - (-5)\/w)\/(-3). Which is the closest to 2? (a) v (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81043*c**3*h*n - 4*c**3*h + 52*c**3*n - 3*c**2*h*n - 8*c**2*h + 2*c**2 + c*h*n + 28*c*h + 9389*c wrt c?\nAnswer: 486258*h*n - 24*h + 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 168. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10075 and 12979235?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 21. Suppose 0 = 5*q + t, -2*k - 2*k = 5*q + 5. Let v = k - 1. Calculate the smallest common multiple of v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g + 38. Calculate r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - r + 33 = 0. Suppose 6 = 3*z, -r*z + z = -5*s + 1426. Calculate the greatest common factor of 26 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 6*c**2 + 5. Let i(h) = h**2 - 6*h - 6. Let u = 31 - 25. Let g be i(u). Determine n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 2489*z + 40603. Calculate o(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)*s)\/(s\/(s\/((s**(17\/4)\/s)\/s))))**40 assuming s is positive.\nAnswer: s**(-850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48578, -95084, -141590, -188096, -234602, -281108?\n\"Answer: -46506*n - 2072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Suppose f*a = 2*a. What is the units digit of -1*(a - -3)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 3*m, -4 = 4*b - m. Let h(w) = 4*w - 4*w - w**2 + b*w**2. Let x(j) be the first derivative of j**2\/2 + 33*j + 11491. Calculate h(x(c)).\nAnswer: -c**2 - 66*c - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 - 685 = -9*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788 smaller than 115392\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/426 and 157\/138?\nAnswer: 9798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + 0. Let t(g) = -4*g - 4. Let y be t(-2). Suppose -y*u + 41 = -5*i - c, 4*u - i - 73 = 0. What is the least common multiple of u and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -21\/2*z**2 + 3\/20*z**4 - 8\/5*z**3 - 71 + 882\/5*z. Solve o(i) = 0 for i.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139.8 and -0.4.\nAnswer: 55.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -282*a + 19182. Calculate f(68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6766359 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19556, -19555, -19554, -19553, -19552?\n\"Answer: k - 19557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.51463 hours to nanoseconds.\nAnswer: 268252668000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -18\/7 (c) -2 (d) -5476\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 1. Give d(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0*y**2 + 0*y**4 + 0 - 2\/5*y**5 - 3*y + 2\/15*y**6 + 0*y**3. Factor u(a).\nAnswer: 4*a**3*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - -361. What are the prime factors of q?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 5544*v + 110832\/5.\nAnswer: 3*(v + 4)*(v + 9236)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5616 - 51*l - 5616)*(0 - 1 - 1) + 13 + 5*l - 13.\nAnswer: 107*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 2*h + 2. Let w(j) = -j**3. Calculate -a(m) - 3*w(m).\nAnswer: 3*m**3 + 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 254035*w**2\/3 - 1016150*w\/3 + 40\/3.\nAnswer: 5*(w - 4)*(50807*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 16. Suppose 5*y - 2*a + 0*a = 4, -y - 4*a - 8 = t. Solve -n + 4 = 2*q - 4*q, 3*q + 9 = y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15732 + -267531\/17. Let r = o + 5. What is the nearest to -1 in -1, 5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2340922?\nAnswer: 11704610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 8797317.\nAnswer: 70378536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000183 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-20)\/10)*(-2)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19801 divided by -29.\nAnswer: -19801\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let a be t(3). Let h be 15\/10*728\/21. Suppose h = -n - a*n. Is n greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from bumummmbm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**4\/12 - 5*d**3\/6 - d**2. Let s be 1*(-2)\/(-9) + 572\/18. Suppose 12 = 4*v + s. What is z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821372691.5 less than -0.5?\nAnswer: -821372692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:00 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 5*h**3 + h**3)*(-203*h - 55*h + 130*h).\nAnswer: -640*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96017 = -3*w + 5*h, -5*w + w + h - 128017 = 0. Let c = -2046 - -2044. Let t be 10\/4 + c + w\/8. Round t to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**3 + 1686*a**2 - 231*a + 2480. Determine m(-241).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61218 is divided by 15180.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8823 and 67473.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l = 82*l - 135. Does 6 divide (-4)\/(-10) - 2682\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxgpalplxppp. Give prob of sequence lga.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1617994 and 25\/62639482.\nAnswer: 438476374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4108 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2089528?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2428 - -2462.21. Let r = p - 34. Let q = r + -0.61. What is the closest to -1\/2 in 0, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1912875?\nAnswer: 3, 5, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(1377)) + -3.\nAnswer: -45*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2 = -o. Suppose 3*u + 20 = 4*s, u = 2*s - 3*s - o. Let k(f) = -f + 5. What is the units digit of k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 23*k - 9. Let y be b(-8). Let p be (48\/88)\/(-3 - y). Let q(x) = x**2 - 6*x + 4. Let u be q(5). Is u smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 0. Let a(t) = -t + 175. Let g be a(4). Calculate the highest common divisor of m and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 5*t + 15. Let q be v(-6). Suppose -2*h + 6 + 2 = f, -q = -3*f - 3*h. Suppose -85 - 1007 = -f*n. What are the prime factors of n?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + w**2 + 8*w**2 - 8*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6037*a**2*g**2 + 427*a**2 wrt g.\nAnswer: 12074*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + ((-7)\/2 - 1). Suppose -4*d + 11 - 3 = 0. Suppose 0*v + 2*v + d = 0. Which is the nearest to v? (a) o (b) -0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)\/(g\/g**4*g))**(-4\/13)\/((g\/((g*g\/g**(-2\/3))\/g*g)*g)**(-13\/5)\/(g**(1\/3))**(7\/4)) assuming g is positive.\nAnswer: g**(-5209\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) + 31\/(-5). Let j = h - -9. Suppose -4*n + 45 = -5*c, 2 = -c - 3. Solve -j*m + 2*m = -n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9568127 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 706174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2695))\/sqrt(5) - (2 + sqrt(33)\/(sqrt(75) - sqrt(3))).\nAnswer: -2 + 27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - p - 7. Let w(z) = -z**2 + z + 1. Let v(m) = s(m) + 3*w(m). Let k be v(4). Suppose -k - 328 = -3*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 + 112. Let g = l + 119.9999886. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1128, -2225, -3322, -4419?\nAnswer: -5516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + -65. Let t be 4\/10 + (-248)\/y. Let z be -1*t*6\/(-3). Solve 5*j - 10 = 5*f - 0*f, 16 = z*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d - 0*d - 4*h, -4*d - 2*h = -18. Suppose -d*t = r - 23, 0*t = 3*t - 3*r - 12. Let g = -10 + 15. Solve -4*c = -z + 2*z + t, -3*c = -z + g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let j(v) = 44*v**2 - 12*v. Let y(f) = -369*f**2 - 1479*f - 10. Let p be y(-4). Calculate p*j(w) + 24*z(w).\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056.567 micrometers in millimeters?\nAnswer: 1.056567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*1\/(2\/1). What is the third derivative of 17 - 17 + 10*w**2 - n*w**2 + 7*w**3 wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 2*t + 25, 0 = 2*t - 0*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102511343 (base 7) in base 16?\nAnswer: -5ce190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:10 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16687 and 7626.\nAnswer: 3103782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 9*i**2 - 12*i + 26. Let j be -6 + 0 + (3 - -13). What is the lowest common multiple of 18 and b(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 3, w: 1, l: 5}. What is prob of sequence lf?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 213 + -248 - 285\/(-8)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -978*o - 16478. What is l(-17)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 + 3*y**2 + 11. Let p(b) = 6*b**3 + 4*b**2 + 16. Determine -5*p(g) + 7*q(g).\nAnswer: -2*g**3 + g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*y)*(-9205 + 482*y + 9205 - 15752*y + 1343*y).\nAnswer: -27854*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 + 28 + -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.1, -9, -3, -2, 1243?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {k: 9, w: 3, b: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-235)\/(-4) - 2\/(-8). Suppose r - 3*j + 6*j - 25 = 0, 3*r = -5*j + k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 60*r - 949 - 59*r in the form h + d*r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1) + -3 + 106 + -2. Let c be (28\/x)\/(2\/4586). Let l = -613 + c. Find the common denominator of 53\/9 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1664.673 days?\nAnswer: 143827747.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/511223 or 1?\nAnswer: -39\/511223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 189.\nAnswer: 56.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**16*(p\/(p**6*p))\/(p\/((p\/(p*p**0\/p)*p)\/p)) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 30*y**2 + 1826*y - 1794.\nAnswer: -2*(y - 23)*(y - 1)*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - w - 13, -101*x + 102*x + 4*w = -13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, p: 9, x: 3, e: 2}. Give prob of picking 2 e, 1 x, and 1 p.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 114*k**2 - 743*k - 600. Let y(u) = 8*u**3 + 800*u**2 + 5200*u + 4192. Let q(j) = 36*c(j) + 5*y(j). Factor q(x).\nAnswer: 4*(x - 32)*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6 - 6 - l + 15. Let u be g(1). Solve 4*n + k = 11, n = u*n + 5*k - 17 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2 + p - 4. Let w = 20 - 24. Let k be j(w). Find the third derivative of -8*m**2 - m**2 + 21*m**3 - k*m**3 - 7*m**3 wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94.16 + 94.1603539. Round o to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31021121200 + 11?\nAnswer: 31021121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11694 divided by 1949?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(-2*x - 6*x + 4*x)*(2 - 1 + 2 + (-3 + 2 - 2)*(2 + 2 - 6) + 3 + 1 - 6) in the form l*x + n and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/41, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -9, -0.04 in ascending order.\nAnswer: -9, -0.3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvjv when four letters picked without replacement from {v: 8, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533 + 533 - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 27*r - 83. Suppose 11 = 5*n - c - 6, -4*n - 4*c = -28. Let i = -3 + n. Sort r, i, -1 in descending order.\nAnswer: i, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 34 + (-14 - 10 - -8)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -20*u**2 + 37*u + 37. Let g be s(-1). Let o = g + 24. Calculate the remainder when 95 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 104 = 2*i + 4*r, -i - 3*r + 27 = 0. Is i bigger than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*g + 508, 0*g = -3*q + 4*g + 302. Suppose -q*a + 97*a = 0. Solve -3*d - 5 + 17 = a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 12) in base 7?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 2.5. Let r = w - 5. Let f be (-70)\/(-21)*6\/4. Which is the nearest to -1? (a) -0.4 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/((45\/10)\/(-9))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11533c + -1?\nAnswer: 11533b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 17 - (13 + 11 + -31).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9168732 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 i when four letters picked without replacement from fiffffiifffiffffif?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -6, -1\/6, 1, -0.59.\nAnswer: -6, -0.59, -1\/6, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6 - 16*h + h**3 - 4 + 0*h**3 + 16*h**2 - 2*h. Is t(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 minus -0.147?\nAnswer: -96.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4)*4 + sqrt(300) + 0)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1 + -3) - -2. Suppose -5*y - 2*r + 0 = -3, 0 = -b*y + 2*r - 11. Which is smaller: y or 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1976047 litres in millilitres?\nAnswer: 197.6047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38)\/((-29172)\/7290 + 4).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/(-160))\/(1995\/8550)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.27942 + -25.28004. Let r = 33 - w. What is r rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -26*3\/6. What is the greatest common factor of x and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 8*j - 4. Let s be d(6). Suppose 0 = f - 5*f + s. Suppose -64000 = -f*a + 3*a. What is a rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -102. Differentiate 42 - f**3 + b*f**4 - 36*f**4 + f**3 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127119900 divided by 127119900.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969182858 a multiple of 2489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.337 + 0.137. Which is the third smallest value? (a) -5 (b) y (c) -0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -5, -4, 4.\nAnswer: -5, -4, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -602.495?\nAnswer: 597.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-756)\/(-216)*(2*-1)\/(-28)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/4, 195, 0.4, 40, 0.3, 5\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0539 - 49296632.8274\nAnswer: -49296632.8813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10188, 10079, 9898, 9645, 9320, 8923, 8454?\n\"Answer: -36*t**2 - t + 10225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10001010010?\nAnswer: 10001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 15 = 0. Let k(q) = -q + 1. Let w be k(n). Does 14 divide (8\/w)\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 14*m + 6. Let v(j) = 70*j**2 + 195*j - 85. Let k(i) = 6*v(i) + 85*z(i). Find g, given that k(g) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3\/3 - 4*x**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -503? (a) -145 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18 - 146*v**2 + 22*v + 143*v**2 + 3. Let c(i) = 50*i**2 - 375*i + 255. Let x(z) = 2*c(z) + 35*p(z). Let x(g) = 0. What is g?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60663 (base 10) to base 6.\nAnswer: -1144503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000189939 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3081980.\nAnswer: 924594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68972 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 416358761 divided by -124621?\nAnswer: -3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1456*j**2 + 30574*j - 50. Give q(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 78994, -0.4, 12\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - 2*n)*(-63*n + 27*n**2 + 63*n)*(-5*n + 5*n - 2*n**2).\nAnswer: 162*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 1355 + 10947 = 2702. Calculate the greatest common divisor of d and 1960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5477139.999986 - 5477122. Let u = -2.3 + -15.7. Let o = u + m. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)*(-5)\/((-5)\/19). Let m(r) = 2*r - 29. Let q be m(b). What is the greatest common factor of q and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4 - 43941973*g**3 - 5851*g**2 + 2*g + 66.\nAnswer: -24*g - 263651838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 152*p - 1. Let i(r) = 153*r - 1. Let o(t) = 3*d(t) - 2*i(t). Is o(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c - 52. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 15. Let n(h) = -2*h - 7. Give 2*b(z) + 5*n(z).\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*p + 51*p - 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 44*v + 350. What is g(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*o + 7, 2*o = -4*s + 7*o - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 7*m**2 - 2*m + 9. Let d be x(7). Let u(a) = -3*a - 12. Let f be u(d). What is the first derivative of -623 + 0*z**3 + 619 - 12*z**f wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.73, -5, 973?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -304 - -205. Let g be ((i\/(-3))\/(-3))\/(-1) + -3. Solve -f = f - g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(36\/(-6)))\/2*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*c + 26, -t = c - 1503 + 1491 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1)**(2\/65)\/((((b*b**(2\/5))\/b)\/b)\/(b*b*b\/(b*(b*b**2)\/b*b)*b)) assuming b is positive.\nAnswer: b**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1857360 and 61344?\nAnswer: 33432480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3*r + g**3*u + g**2*r*u + 3*g**2 - 9*g*r + 48*r*u wrt u?\nAnswer: g**3 + g**2*r + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 + 140. What is the hundreds digit of ((-12)\/s)\/((-10)\/3765)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 - 47982*r**2\/17 - 361455198*r\/17 - 816282551410\/17.\nAnswer: -2*(r + 4145)*(r + 9923)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*z + 4 = -7, -4*z + 15 = -3*o. Let u = -2432\/15 - -162. Is u at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40082)\/(-21) - (-2)\/6. Let i = -1346 + j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 668*c**2 - 37*c + 36. Does 9 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**3\/6 + 16*n**2 + 95*n. Determine c(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290\/(-220) - ((-2)\/(-11) - 0)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 72828.\nAnswer: 6263208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 211*p**2 + 75*p + 244. What is the units digit of i(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/109? (a) 2\/5 (b) -0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7390 + 1249.61199.\nAnswer: -6140.38801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 26*i + 171. Calculate v(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/17)*l)\/(l\/l**13*l))\/(l*(l**(1\/2)\/l*l)\/l*l*l\/l**13) assuming l is positive.\nAnswer: l**(771\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.58 - -0.79. Let c = -6.58 - -12.37. Let t = c + i. Is -0.2 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 742\/3 + 28\/42. Suppose -15 = -2*y + 4*b + 109, 3*b + v = 4*y. Calculate the remainder when y is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51658\/35 - 1476. What is the third biggest value in d, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5719997 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14032967 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*h - 5*r - 12, -3*r + 19 = 4*h. Suppose i - 6 = h. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8586.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-10 - -1) - 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13462)\/2286 - (-7 - -1) - (-1)\/3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 - (-3)\/1. Let x(m) = 0 + 4 - 3 + m**2 + a*m + 3. Does 3 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2 + 4*w + 66. Calculate f(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 2 + 2 = 23*f. Factor f*o**2 - 3\/5*o**3 + 0 + 0*o.\nAnswer: -3*o**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37561223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let c = g - 1.4. Let o = -5 + 7. Sort 1, o, c in ascending order.\nAnswer: c, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnssnnnn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 5*k + 6. Let f be i(6). Solve -4*d = 2*h - 6, -5*d + 9 = 2*h - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/(-700)*-7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(5\/34*8\/(-30)). Let v = 114 - b. What is the second derivative of -4*n**5 - 47*n + v*n**5 + 4*n**5 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -159182107 = -159182106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.769 and -0.0085.\nAnswer: 4.7605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -7*(-844)\/18 + (-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27b674 (base 14) to base 15\nAnswer: -1c2a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -47*t**7\/21 - 5*t**4\/4 + 4*t + 7. Find the third derivative of c(g) wrt g.\nAnswer: -5640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 5 = -18*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 1 - 4)*(-2*h - 1 + 1) + 10 - 7*h - 10)*(763*h - 124*h + 1385*h) in the form u + q*h + b*h**2 and give b.\nAnswer: -10120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/3*2*-1. Let p = -4 + 15. Let v = 11 - p. Sort v, c, -2 in decreasing order.\nAnswer: c, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 839.60012721 + -839.6. Round p to 6 dps.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + 530\/(-212). Which is the nearest to -1\/3? (a) -12.9 (b) p (c) 3\/8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -94, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-35)*(-85)\/(-102)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12081037 to three decimal places.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:32 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432.26289 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 16500.98 to the nearest 100.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*k**2*s**4 - 2*k**2 - 2*k*s**2 + k wrt s?\nAnswer: 1944*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7618 at least -160007\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 2*r. Let p(s) = -5*s**2 - 7*s + 1. Let z(v) = 8*c(v) - 3*p(v). Let w be z(6). What are the prime factors of 6\/w + (-538)\/(-6)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 1\/3, 1, 139.56, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101031839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 1 = -13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.106536l?\nAnswer: 7106.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 26 = -8*w, i = w - 0*i - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3322*d**2 + 2003*d**2 + 1323*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 409, 464?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -4*r - r**2 - 2*r + 11*r + 4. What is w(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174323142.\nAnswer: 2, 1097, 535243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:26 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.5 (c) -2.8 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 50. Let t = 59 + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-21)\/h*h)\/((h\/(h*h*h**(1\/9)\/h))\/h))\/(h\/(h*h**(-6)))**(-1\/18))**(-15) assuming h is positive.\nAnswer: h**(880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8953 or -8951?\nAnswer: -8951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -1 - (3 + -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + d = -52, -2*d = -4*s + 2*d + 48. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15326 + -10573. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 - 1167*i**4 - 21879*i**3 - 40245*i**2 - 19536*i = 0. Calculate i.\nAnswer: -16, -1, 0, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, f: 2, n: 1, y: 1, h: 3}. Give prob of picking 1 f and 2 h.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 853400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -687, -675, -675, -687, -711, -747?\n\"Answer: -6*x**2 + 30*x - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5241907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1771 = -0*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 14, 5 in decreasing order.\nAnswer: 14, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 2\/3 (d) -20 (e) 1 (f) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*i - 4735 = -5796*i + 1478 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 52. Suppose -u*j = -4*x - 203, -x + 2*x = -j + 37. What is the second derivative of -j*c + 20*c**4 + 627*c**3 - 627*c**3 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 8. Calculate the remainder when 2 - -6*(j + 3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18781 - -30517. What are the prime factors of g?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71847.72 tonnes to grams.\nAnswer: 71847720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -409 + 789. Does 38 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by (-35 + 17)*(-6)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 3*s**2 + 27*s + 26*s - 53*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5410 + -2259. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539862 (base 14) to base 5.\nAnswer: 1211040333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:22 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, l: 1, j: 2, m: 6}. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-56))\/(-3*46\/207)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*s**5 - 1804*s**4 - 2*s**3 - 42*s**2 + 31*s - 755.\nAnswer: -6060*s**2 - 43296*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - 168. Let y = 1158 + -1244. Let u = c - y. Solve 4*z - 9 = u*z - a, -3*z + 11 = a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 45*v**2 - v - 48. Suppose -5*q - 140 = 3*j, -42 = j + 2*q + 5. Determine g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 8. Suppose -u + 10 - 22 = 2*n, 5*u = -2*n - q. Put 12, n, -3 in descending order.\nAnswer: 12, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22302 (base 5) in base 7?\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*28\/(-644)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 k when three letters picked without replacement from rkararkbrrr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -m - 821, -3*y = -8*y - 4*m - 809. Suppose -4*t = -2*u + 322, -u + 0*u = -5*t - 401. Let q = t - y. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 2987535.\nAnswer: 14937675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2789 - 944. Calculate the remainder when d is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -14.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(63)*-2)*1)**2 - 4*(sqrt(28) - (sqrt(1372) - (sqrt(1372) - (sqrt(1372) + -1)))**2).\nAnswer: -168*sqrt(7) + 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*j - j + 129, -121 = -3*t + j. What is the remainder when t is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -30, -85, -170, -291, -454, -665, -930?\n\"Answer: -d**3 - 6*d**2 - 6*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/9366 - 28093\/46830. Which is the biggest value? (a) k (b) 1\/17 (c) 0 (d) -4 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756, -770, -802, -858, -944, -1066?\nAnswer: -1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:14 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 + 5*b + 21. Let m(j) = -5*j**2 + 22*j + 238. Let l be m(-5). Let c(k) = -2*k**2 + 3*k + 11. Determine l*v(o) - 5*c(o).\nAnswer: -2*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 40*v**2 + 637*v + 49. Determine r(-16).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.2 (c) -0.06 (d) -18.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let m = -1 + q. Let z(a) = 2*a**2 + 2*a + 1. What is z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/3 - 53*m**3\/6 - 40*m**2. Let f be a(7). Solve -11 = s + 2*p - 6*p, f*p = s + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*o**2 + 30*o - 504*o**2 + 134*o**2 - 30*o + 135*o**2 + 102*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137924982.\nAnswer: 2, 568962491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(208) + sqrt(468)*-1)\/(sqrt(12)\/(sqrt(21)\/sqrt(567))) + -1.\nAnswer: -7*sqrt(13)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -6. Let b = t - 28. Let o = b + -17.9997. Round o to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z - 5 + 5)*(-3 + 0 + 0)*(0 - 2*z + 0) to k*z + d*z**2 + a and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 7. Let p be d(0). Let v be (-4)\/(-6) - p\/(-3). Suppose -v*z + 16101 + 583899 = 0. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537967154.\nAnswer: 2, 23, 197, 229, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33596 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/35 (b) 9 (c) -549\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/243 and 53\/405?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/24 + 2\/3. Let m(x) = -2*x**t - 6 + 0 + 6. Let w(j) = 4*j. Calculate w(m(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4335.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4, -3 in descending order.\nAnswer: 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 54*y**5 + 12*y**3 + 21*y**2 - 2*y - 75. Let o(a) = a**5 + a**3 + 7*a**2 + 2*a - 1. Let v(u) = g(u) + o(u). Find the third derivative of v(d) wrt d.\nAnswer: 3300*d**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 330 - 278 - (32 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38166566 and 6.\nAnswer: -228999396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 84 = -3*p, 2*m - 7*m + 2*p + 69 = 0. Suppose -3*x = -4*j + 20, m = j + 2*j + 2*x. Solve 4*i = 5*b - 17, j*b + 4*i + 7 = -0*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/4)\/(-3))\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1*-1*41. Let p = h + -58. Let b = p + -37. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 1264144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256924799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*a + 187*a + 1 - a**2 to the form b*a + r*a**2 + g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0*k + k + 0*k + 2*k. Let y(w) be the first derivative of 0*w - 78 + 1\/2*w**2. Calculate d(y(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 458, 970, 1528, 2132, 2782, 3478?\n\"Answer: 23*l**2 + 443*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 3*z + 11. Suppose -1 + 2 = g, 378 = 5*r + 3*g. Let h be (-4 + -1)*3*40\/r. Let b(p) = p**2 - 2*p + 7. What is h*b(t) + 5*s(t)?\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 23482?\nAnswer: -23481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23049921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5427\/18*(-544)\/(-72).\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**3 - j**2 + j. Suppose 2214 = 18*b + 756. Let r be (-2)\/16 + b\/72. Give f(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-44)\/12*-1)*-3. Solve 4 = -2*i - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (3 - -38)*-1. Let x be 1\/(y\/200 + 2\/(-8)). Put -5, 2, x in ascending order.\nAnswer: x, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 1)*-2 + -3)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + (sqrt(49) - sqrt(294)\/(sqrt(18)\/sqrt(3))))\/(sqrt(7) + sqrt(7) + sqrt(504)\/sqrt(2) + sqrt(7)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 + y - 1. Let r be x(1). Suppose -9 = 3*q - r*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -19?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 98*35*22\/2695\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4304 and 2542.88317.\nAnswer: 6846.88317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2. Let p(g) be the second derivative of -g + 0 + 0*g**2 - 1\/2*g**3. Calculate a(p(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*-4153\nAnswer: -8306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*v + s, 3*v - s + 4*s - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-252)\/(-56) - (0 - 6\/(-4)). Suppose -2*k + 5*i + 1368 = 0, -4*k + 2758 = -2*i + v*i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4287 + 4286.6. What is the nearest to 1 in 4, h, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyh when three letters picked without replacement from yhfrn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922827 is divided by 553?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 6. Let p(k) = -2*k - 44. Let l be p(-18). Let a be 50\/l - (-1)\/4. Give n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, j: 3, b: 4}. What is prob of picking 2 v and 1 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17.8 and 3.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84436, -84416, -84396, -84376?\nAnswer: -84356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209))*3)\/(1*sqrt(11)*-1) - (2 + 1*sqrt(475) + 5 + 2*sqrt(475))**2.\nAnswer: -4324 - 210*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2118 + 2114. Let r(d) = 12*d**3 + 4*d**2 + 5*d - 2. Let v(m) = 11*m**3 + 3*m**2 + 4*m - 1. Determine g*r(h) + 5*v(h).\nAnswer: 7*h**3 - h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = 3*m, 0*y - 4 = -3*y - 4*m. Suppose 4*u - 11 - 25 = y. What is the remainder when 29 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + 48. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -9*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 8 + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 502 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q + 4*o - 267 = 0, -114 = -2*q + 2*o. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6719 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/1376701 or -1?\nAnswer: -19\/1376701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 18 - 13 = -3*u, -10 = -2*p + 4*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244103693 is divided by 136447.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 12*b**2 - 17*b + 40. Give v(10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, -2, 3 in decreasing order.\nAnswer: 15, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 24462000 = -2*w, 3*w - 36693000 = 10*t - 8*t. Round w to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -260.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 474070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16738617 rounded to four decimal places?\nAnswer: 1.1674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d*l*n**2 + 21*d*n**2 + 5*d*n - 2*d - 8*j*l*n + 7*j*n**2 - 2*l*n**2 - 2*l + 22 wrt n?\nAnswer: -20*d*l + 42*d + 14*j - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60*1096*(-123 - 2). What is u rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61051588799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(567)*-3)**2 + 2)*1 + 4 + 1.\nAnswer: 5110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-399)\/(-840) + 6\/(-10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x + 28 = -81*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -t + 3*x, -3 = -3*t - x + 2. Put 0, -6, 1, t in descending order.\nAnswer: t, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-10)*(4\/8 + -1). Which is the nearest to 1\/4? (a) -6 (b) -5\/3 (c) -0.3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 24*g - 3. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvvp when four letters picked without replacement from {p: 11, v: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -57. Let n(k) be the third derivative of k**3\/6 + 4*k**2. Let m(c) = 2*c + 1. Calculate g*n(w) + m(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -366, -364, -362?\n\"Answer: 2*h - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 274679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(17) + (sqrt(34) - 5*sqrt(34))\/sqrt(2))*-1 - -3*((5 + sqrt(17) - sqrt(17)) + -2))**2.\nAnswer: 54*sqrt(17) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*a - 10*a**4 + 6*a**2 - a**2 - 7*a**4 + 146*a wrt a.\nAnswer: -204*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(255) + sqrt(255))\/sqrt(5) + sqrt(816)*-3 + sqrt(51))\/(-2*sqrt(243) - sqrt(2352)))**2.\nAnswer: 425\/2116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7565150203 to the nearest integer?\nAnswer: 86978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05943 and 0.16.\nAnswer: 0.0095088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 13*r**5\/60 + r**4\/24 + r**3\/6 + r**2 + 97. Determine f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58\/130 - ((-976)\/40 + 25)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 3*y + 58 = -12*z, -3*z + 100 = -2*y. Suppose s - z = -2*r, 5*r = 6*r - 2. Calculate the remainder when 194 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**3\/6 - 3*d**2\/2 - d. Let v be (-1)\/(-1) + -3 - -7. Suppose 2 = q + v. Let i(t) = -t - 2. Give q*x(p) + 4*i(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 580, 588, 602, 622?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467\/3390 + -1\/226. Is b less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43711400 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5443387?\nAnswer: 23, 29, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 <= 20.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 50. What is t(0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdd when four letters picked without replacement from tdtdddd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 16. Find the second derivative of -5*j**4 + 2*j**v - 7*j**3 + 4*j + 5*j**3 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*f + 2940, -f = 8 - 3. Suppose 14 + 2 = -2*r. Let l be (14 + -7)\/(-28) + w\/r. Which is smaller: -73 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225075\/(-6)*708\/(-590) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3012, -6177, -9358, -12561, -15792, -19057?\n\"Answer: -s**3 - 2*s**2 - 3152*s + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*g + 17. Let p = 4241 - 4239. Find the second derivative of -2*s + g*s**2 - 8*s - 27*s**p - 10*s wrt s.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -1\/5, 110500?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -2893*o**6\/30 - 176*o**3\/3 + 154*o + 6. Find the second derivative of a(y) wrt y.\nAnswer: -34716*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k. Let t(v) = -184020*v. Give r(t(f)).\nAnswer: 920100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2*u - 97 + 103 = 0, y = 5*u + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Suppose 0 = -f + 2*m - 7, 4*f - 59*m = -62*m + 5. Let b(q) = -2*q + 3. Give f*b(l) - 4*i(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -m. Let l(b) = -3*b - 3. Let n be l(-2). Let a be 0 + (1 - n\/5). Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640, 1284, 1932, 2584, 3240, 3900, 4564?\nAnswer: 5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1333021 (base 4) to base 14\nAnswer: 2d73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h = 10, h + 0*h + 5 = -2*o. Suppose -5*y - 2*u + 26 = o, 5*u + 2 = -y - 2. Let x(n) = 50*n - 7. Is x(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:27 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6785\/(-118)*-16*(-16)\/(-320).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:46 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:51 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.73 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/12)\/((-3)\/(-54)). Let b be 6\/(-4)*16\/z. Let m = b + 49. What is the highest common factor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -2 - -1)\/1. Let n(x) = 49*x**2 - x - 1. Suppose 4*v = 18 + 50. What is the remainder when n(c) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 + 5. Let s = 0 + u. Let v be (-2)\/6 + (-16)\/s. Solve -p - g = -5*g + v, 5 = -2*p + 3*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*j + 50*j. Suppose -3*r + 3*m = -0*r - 102, j = -2*r - m + 53. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-3\/10)*n))**(-2\/11)*(n**(-3\/4))**(1\/2))**4 assuming n is positive.\nAnswer: n**(-189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756515887.\nAnswer: 41, 1723, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 844 - 949.1. Let m = g + 105. Which is the closest to -0.07? (a) -0.5 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 12.573, -22, 0.1, 2.\nAnswer: -22, -0.4, 0.1, 2, 5, 12.573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*m = -0*t + 54, 3*m - 26 = -t. Let i = t + -18. Calculate the remainder when 19\/76 + (-1055)\/(-20) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -19, -29, 3, 1 in increasing order.\nAnswer: -29, -19, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 721 * -0.0057345.\nAnswer: -4.1345745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5084 and 1886?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0. Let r = 18568 + -18574. What is the nearest to s in -4, -5, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 86 + 15 + 66.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/11, 4, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 707, 2749, 6131, 10847, 16891, 24257, 32939?\n\"Answer: -u**3 + 676*u**2 + 21*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8689931 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 147246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 762, 735, 686, 615, 522?\n\"Answer: -11*l**2 + 6*l + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7409 = -3*c + f, 0 = -4*c + 5*f + 9877. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3296 and 4.\nAnswer: -3292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -7613067?\nAnswer: -7613072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.10998629 + 4.11. What is s rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-30) + (-2)\/(-10). Let q be (g\/5)\/(6\/30). Let a(m) = 8*m + 1. Is 8 a factor of a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojdjjdddodojoo. What is prob of sequence jo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/35788932 and -47\/52323.\nAnswer: 35788932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 82 = -19. Let t be v\/182 - (-1)\/2. Let s be (3 - (-38)\/(-6)) + 2. What is the biggest value in t, -3, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 greater than 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7522.406 decades?\nAnswer: 902688.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1266*j - 25707. Calculate m(20).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236*(1209\/(-300) - -4) + 30\/375.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - (-88 + 168 + -74 - (8 - (-2 - -1))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 290656*l. Let d(q) = 11*q**2. Give w(d(x)).\nAnswer: 3197216*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (3*sqrt(91) - sqrt(91)))*-4 + (-1*sqrt(91)*-2 - sqrt(91)))\/(-3*(sqrt(252) + -4*(sqrt(252) - sqrt(252)*1))).\nAnswer: 11*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*y + 4*y - 3*y = -24, 16 = -v + 23*y - 26*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 19*u**5\/4 - 17*u**4\/4 + u**3\/3 - u - 4. Find the third derivative of c(i) wrt i.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 23, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -836, -6634, -22360, -52976, -103444, -178726, -283784?\n\"Answer: -827*c**3 - 2*c**2 - 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*-25459.2.\nAnswer: 61102.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zql when three letters picked without replacement from {q: 2, p: 1, l: 1, o: 2, z: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 395.2855 millilitres?\nAnswer: 0.3952855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 33*j**2 - 6*j - 171. Calculate the remainder when s(17) is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 129 and 28101.3.\nAnswer: 3625067.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 99942350 to the power of 1\/2, to the nearest integer?\nAnswer: 9997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 144119144 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 233, 245, 265, 293, 329, 373?\n\"Answer: 4*k**2 + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -35095171 divided by 4\nAnswer: -35095171\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 21 - (114 + -106)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105536, 211070, 316604, 422138?\n\"Answer: 105534*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 2*j + 114. Let p be x(0). Calculate the highest common factor of p and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193\/700 + 1\/100. Let f be (-4)\/(-10) + 35\/(-25). Which is the second smallest value? (a) 5 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/6*((-1308)\/(-3706))\/((-18)\/(-136)). Solve 0 - 2\/9*h**4 + b*h**3 - 34\/9*h**2 + 20\/9*h = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002124 rounded to seven decimal places?\nAnswer: 0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5416898 divided by -1?\nAnswer: -5416898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/7)\/((k*k**(-2))\/k))\/(k\/(k*(k*(((k**(-2\/5)*k)\/k)\/k*k)\/k)\/k*k))**(2\/21) assuming k is positive.\nAnswer: k**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24*-1*(20\/(-80))\/(14\/12)\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1083)\/(-12) - (-4)\/(-16). Suppose 4*f - c = -14*f. Solve -40 = -3*k + 5*b, 0*b - 45 = -4*k + f*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in 0, 0.1, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 242028684300 + -0.4\nAnswer: 242028684299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 1011981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - -10.2.\nAnswer: 10.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/24)\/(2\/(-3)). Suppose 3*h + 2*i - z = 9, 0 = 4*i - 4. Suppose -h*o + 10*o = 77. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4*v - 25, 2*v = -358516*h + 358520*h - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.12 + -9.8. Let y = 3.64 + d. Let u = 7.7 + -8. Which is the smallest value? (a) u (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240873\/4 greater than -60218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.58. Let b = x + -0.44. Let o = 0.22 + b. Is 1\/11 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.4, -4\/157, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623936 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*z + 174 - 2, 48 = z + 2*s. Suppose 3*d - 3 = g, -5*d = -4*g + 14 + 9. Calculate the least common multiple of z and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -391 + 391. What is the second smallest value in 0.2, 2\/3, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-249)\/(6352239\/970).\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 - 17*g - 9. Let h be c(-7). Suppose 6*u - 677 = h. Let a(l) = -8*l - u + 123. Let n(y) = y. Calculate n(a(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -490708607\/672 - -730221. Calculate the common denominator of v and -149\/72.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4186125*j**2. Let q(u) = -u. Determine q(l(k)).\nAnswer: 4186125*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254021.5 milligrams in tonnes?\nAnswer: 0.0002540215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-v**3 + v**3 + v**3) + 3*v**3 + 14*v**3 - 7*v**3 + 109247 + 5*v**2 - 7*v**3 - 109247.\nAnswer: v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 24 + 36. Suppose 0*l - 3*l = -x. Let o be (l - -5)\/((-3)\/(-2)). What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22155231 - -1?\nAnswer: -22155230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19dc (base 14) to base 12.\nAnswer: 287a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 3*i**2 + 4*i - 2*i**2)*(-6 + 48 + 43)*(3*i + i - 6*i).\nAnswer: -170*i**3 - 680*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.41 and -0.004?\nAnswer: 0.00564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20847988 = -3*l, 3*b - 31271992 = -250*l + 248*l. Round b to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*s - p - 7, -p = -5*s + 15. Find the third derivative of 9 - 9 - 2*c**3 - s*c**2 + 0 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93040 and 2280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -781 - -786. Let l = 11 + -12.2. Let o = 0.2 + l. Put 4, q, o in increasing order.\nAnswer: o, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -167116\/3715?\nAnswer: -167116\/3715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 298, 291, 274, 241, 186, 103?\n\"Answer: -b**3 + b**2 - 3*b + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 773051?\nAnswer: -773048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) 108 (b) -2\/3 (c) -1\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*z = -16, 0*y + 8 = y + 4*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181794143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66356616454 - 252\nAnswer: -66356616706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 2, z: 4}. Give prob of picking 1 q and 1 z.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 16*y - 6*y = 11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**3 + 64*l**2 + 46*l - 30718 wrt l.\nAnswer: 6*l**2 + 128*l + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -6*d - 4*g, g = 1. Let t(o) = -o**3 + 3*o + 2. Let a be t(d). Solve -a*q - 16 = 4*z, q = 4*z + 6*q + 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2099 + 1044 + 1055 - 13*a**2. Let x(q) = 6*q**2. Give x(h(c)).\nAnswer: 1014*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:30 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1938*z**5\/7 - 5830*z**4\/7 - 7704*z**3\/7 + 64*z**2\/7 = 0. What is z?\nAnswer: -1, 0, 8\/969, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*k + 3 + 1 = 0, 2*m = -5*k - 8. Suppose 2*l = m*l - 340. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(2\/((-4)\/6) - -1). Let z be (-5)\/(15\/(-12)) - h\/1. Suppose z = -2*t + 47 - 45. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 16*t**2 + 18*t + 49. Let i be y(-15). Suppose 5*q - 3*o - i = 0, -4*q + 5*o = -0 + 2. Solve 24 = q*j - 5*r, 0 = 2*j - 3*r - 8 - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 7*d**2 - 7*d - 8. Let u be y(8). Solve -n - 3 - 1 = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -2\/9, 0.3, 98?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 27*f + 3321. Determine h(74).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e (base 15) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 - -5. Let x = 9\/62 - -2\/93. Let i be 4*((-17)\/4 - -3). Which is the second biggest value? (a) x (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 47*u**2 - 40*u - 54. What is the lowest common multiple of k(-24) and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273494892 divided by 4\nAnswer: 68373723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 0.5, 18, -2\/5, 0.86.\nAnswer: -2\/5, 0.1, 0.5, 0.86, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 6*t = -25, -4*p - 287*t = -283*t - 28 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/28270 and 13\/28.\nAnswer: 395780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*l + 25, 4*l - 5*z = l - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 99.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3537 - -4?\nAnswer: 353b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 57 * 0.207444\nAnswer: 11.824308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6972197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + t**4 + 5*t**3 - 20 - 3*t**3 + 10*t to the form f*t**2 + p*t**4 + y*t + i + k*t**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -1567954.1.\nAnswer: 282231.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166736001959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1126182 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4 - -10) + -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7 - 2 + 1 - 2*x**2 to o + j*x + w*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18*x**2 - 1548*x + 3. Determine d(86).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81\/2 + 38. Let d = 33.9 - -23.6. Let o = -56 + d. Which is the second biggest value? (a) -2\/9 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 913393\/28 - 32617. Calculate the common denominator of -95\/1218 and o.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 53. Let x be p\/(-12) - (-2)\/(-4). Does 19 divide -23*(-3 - (-5 + x))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-4) - (-110)\/(-88)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:43 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6)*o*o)\/o**1)\/(o\/(o**2*o*o))**(-14))\/((o**(-1\/4))**4)**(-1\/22) assuming o is positive.\nAnswer: o**(-1035\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/(120\/2520)*8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209149 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10330 or -10355?\nAnswer: -10330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13078940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*3 + 204. Suppose 6*c - 226 - w = 0. Let z = c + -69. Solve -4*a = 3*d - 23, -z*a - d + 3 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -826, -3322, -7486, -13318, -20818, -29986?\nAnswer: -40822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3704*t + 25912. Give z(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 209231.\nAnswer: 3\/209231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5\/3 + 505*m**4\/3 - 4670*m**3\/3 + 10870*m**2\/3 + 4675*m\/3 - 11375\/3 = 0.\nAnswer: -1, 1, 5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -643*j**6\/30 + j**5\/10 - 8*j**3 + 710*j. What is the second derivative of g(i) wrt i?\nAnswer: -7716*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r = -89*r + 30*r - 3520 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*p = 585*p + 2*f + 4, 5*f = -2*p + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*k**2 + 6*f*i**3*k + 5*f*k**2 - i**3*k**2 - 297*i**3 with respect to f.\nAnswer: 2*f*k**2 + 6*i**3*k + 5*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*u - 12316022*h**3 - 553*h**2*u - 6686*h**2 wrt h?\nAnswer: -12*u - 73896132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 18*q + 8. Let w(z) = 13*z**2 - 32*z - 4. Let c be w(3). Determine r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -139*b**3 - 59*b**2 + 16. Let i(u) = -93*u**3 - 39*u**2 + 10. Let f(k) = -5*d(k) + 8*i(k). Find the third derivative of f(n) wrt n.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 0 - (-91 + 2). Suppose 2*n - a = -n. Suppose d = -d + 5*v + n, -5*d + 29 = -v. Solve 0*w + d*w = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*(((j\/(j\/((j*j**(1\/2)\/j*j*j)\/j)))\/j)\/j)\/j)\/j))**(-43)\/(j\/(j*j**(-3)))**(3\/2) assuming j is positive.\nAnswer: j**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*z + 45*z + 2*z**3 - 1 - 14*z - 18*z - 2*z**2 to r*z + h + d*z**2 + n*z**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/40 - -1\/40. Which is the closest to -0.1? (a) -1 (b) 0 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -175134, 140 in decreasing order.\nAnswer: 140, -2, -175134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -7*i**6\/120 + i**5\/60 + 2*i**3 - 21. Let o(s) be the third derivative of r(s). What is the second derivative of o(j) wrt j?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8396, -33321, -74776, -132761, -207276?\n\"Answer: -8265*n**2 - 130*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56824, -56825, -56826, -56827, -56828, -56829?\n\"Answer: -j - 56823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**3\/15 - 3*k**2\/10 + 2*k\/5 + 10. Factor i(p).\nAnswer: (p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2326+-11\nAnswer: -13.2326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 1\/4*m**4 + 0*m**2 + 113*m + 0 - 3\/2*m**3. Solve n(i) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/12)\/(-9 - (-2115574)\/235064) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/360 + a**5\/40 - a**4\/3 + a**3\/3 + 2*a**2. Let u(z) be the first derivative of q(z). List the prime factors of u(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 664.8766 litres?\nAnswer: 664876.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 1.7. Let w = -120 - -598\/5. Which is the third biggest value? (a) w (b) -4\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430673 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -20788\nAnswer: -1\/20788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17832839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220 + 220. Suppose -2*i = c, 8*j + i = 6*j + 622. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*c + 12, 4*c - 3*c = 3*l - 69. Suppose -6 = -3*r, -r - 133 = -4*m + m. Factor -l*d - 7 + m*d + 3*d**3 - 2 - 15*d**2.\nAnswer: 3*(d - 3)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.259526ml?\nAnswer: 0.009259526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, 533 in decreasing order.\nAnswer: 533, 5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 3*n**2 + 7*n - 10. Let d be m(2). Suppose -2*v = -0*j + 3*j - 7, -5*v + 25 = 0. Put 6, j, -2, d in descending order.\nAnswer: 6, d, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.15711316 to one dp.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*t + 2*b, -2*t + b + 0*b + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1010111000001010?\nAnswer: 1010111000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 7*i**2 + 5. Let o be f(7). What is the common denominator of -63\/8 and -2 + o - 148\/80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 2*n**2 + 5*n**2)*(2*n - 2*n - 15*n)*(2 - 3 - 1).\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52038 is divided by 286?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -12. Let r be -2 + 10\/2 + 1. Calculate the greatest common factor of x and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 308, 694, 1234, 1928?\nAnswer: 2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k. Let i(l) = 6*l. Let b(m) = 5*m. Let o(v) = -6*b(v) + 6*i(v). What is h(o(y))?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*o + 8*o. Let m = 29 - o. Calculate the greatest common divisor of m and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.037.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-4)\/(-60)). Let r(j) = -7*j - 2*j + u*j. Let o(p) = 5*p + 4. Let n(w) = -14*w - 11. Let g(t) = -4*n(t) - 11*o(t). Give r(g(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 107*q + 261 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 14 = 4*i, 0 = 4*s + 53 - 49 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565358 - 397459. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-24)*-2*(-99)\/11.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 - 4*b - 4. Let a(o) = -13*o**2 + 9*o + 9. Let t(d) = -4*a(d) - 9*z(d). Let u be t(1). Let f(n) = -6*n - 1. Determine f(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - o + 25. Give q(6).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1599\/(-24) - (-369)\/(-984). What is the nearest to n in 1\/7, 1, 4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 10\/3, -3, 14, -3\/1783, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**2)**27\/(r*r**(-2\/5))**(-6\/5))**(-41))**(-3\/4) assuming r is positive.\nAnswer: r**(251289\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*0\/2. Let l(t) be the first derivative of 1\/3*t - 1\/3*t**3 + 11 - 1\/6*t**4 + f*t**2. Suppose l(r) = 0. What is r?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(126\/(-36))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 = -11. Which is bigger: 7 or j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13. Let w = -13.5 + -8.5. Let i = w - -3. Is o bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 26*p + 5*f + 176, -4*f = -2*p + 176. Solve 0 = 14*w - 18 + p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 15*l - 325 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122418?\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 815*w + 198585. Calculate d(579).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/400 and 111\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*n - 15 = 0, -3*n = -5*s + 9 + 11. Let m be (24\/9 - 3)*15. Let y be (0 + s)\/(m\/(-20)). What is the highest common factor of y and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 1. Let i(f) = 22*f + 5. Let d be 1\/(2\/(-4)*2). Let r(q) = d*i(q) + 6*g(q). Let h be 1\/((-1)\/((-1 + 2)\/1)). What is r(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27174960299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:51 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-404)\/(-102)*(1 + (-2)\/8) and 33\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 15) to base 16\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*c + 5172 + 27294 = 143*c + 531*c for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 12. Let u = 33 + -70. Let i = u - -49. Solve 2*g + v = -3*f + 26, 4*g = 4*f + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319504 - -319506. Factor 15*t - 3\/2*t**3 + 0 + 27\/2*t**v.\nAnswer: -3*t*(t - 10)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:59 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 6*p**2 + 8*p + 4. Let w be l(7). Let n = w - 8. Let i be ((-8)\/2)\/((-2)\/n). Solve 0 = i*c - 2*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 6. Let u be g(7). Let a be u\/5 + 16\/(-20). Let r be (20\/15)\/(a\/3). Sort r, -5, 2 in decreasing order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 6*u + 9. Let n be i(6). Let s = n + -5. Suppose -80 = -s*x - 0*a + 3*a, x + 5*a = 20. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21700*9.5.\nAnswer: -206150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = 8, -221*f + 222*f + a = -7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h)*(-3 + 0 + 2)*(-4 + 4 + 1).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2175*t - 26. Let s(c) = 2176*c - 30. Give 7*j(m) - 6*s(m).\nAnswer: 2169*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -69c4a (base 13) to base 16\nAnswer: -2f2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -12\/11, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 3. Let d be m(3). Suppose -5*g + d*g = -25. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29538353, -29538360, -29538375, -29538404, -29538453?\nAnswer: -29538528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*i**4 + 1 + 6 + 4 wrt i?\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 3. Let c be y(6). Suppose -6 = 3*x, -5*h - 63 = -x - 0*x. Let t = 18 + h. Calculate the highest common divisor of t and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*r - 135 = -196, -72 = 3*a + 5*r. Let s(z) = z + 1. Suppose 0 = 3*f - 3*i, -2*f + 4*f - 3*i + 2 = 0. Let l(n) = -n. Calculate a*s(g) + f*l(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1567708 and 47464.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2725 = 27*c - 5348. Suppose 0 = -s + 3*n - 0*n + 103, n - c = -3*s. Let g be 8\/16 + (-158)\/(-4). Calculate the highest common factor of s and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(102)*1*3 + sqrt(102) + sqrt(102)))\/(sqrt(72)\/(sqrt(144)\/sqrt(3))).\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51.2 - -53.39. Let c = m + -2.3. Let f = c - -0.1103. Round f to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1\/20*d**4 - 7\/10*d**2 - 2\/5*d**3 - 27 + 0*d. Factor t(h).\nAnswer: h*(h - 7)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/162)\/(5\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8182 + -8050. Suppose 0 = -f - 0*f + 4*l + 15, -5*f + 141 = 2*l. Let a be 6\/f - 194\/(-18). Calculate the highest common divisor of o and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/372 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 v when three letters picked without replacement from vkjjyjyooyj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*l = 25, l - 20 - 10 = -5*n. Suppose n*z = 9*z. Suppose 5*u - u - 80 = z. Calculate the highest common factor of 160 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*d - 13 - 0, 2 = d - 2*s. Suppose 2*w - 22 = w - d*o, 6 = -w + 3*o. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-46)\/(t**1*t**2\/t)*(t**(-5)*t*t**1\/t*t)\/t**(-8) assuming t is positive.\nAnswer: t**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 3:48 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/12*3 + -66. Let c = v - -147. Let k = 7 + c. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*n**3 - 147*n**3 + 59*n**3 + 39*n**3.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 170. Give j(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - (-31)\/(-10))*2580\/48 and (-397)\/(-42) + (-8)\/28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332500 divided by 23750?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (70\/(-16) + 4)\/(30\/184) and -61\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4841 or 4838?\nAnswer: 4838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -102211?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/3 (b) -7\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*s - 39*s**2 - 14*s**4 - 3*s**3 - 1 + 85*s + 33*s**2 to l + a*s**3 + n*s**2 + r*s**4 + b*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 6*u - 4. Let k be 6\/(-4)*10\/(-3). Let z be f(k). What is the highest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001063873375 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4744 - -4719. Which is the nearest to 0? (a) -4 (b) -2\/19 (c) 0.05 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 249946, 499911, 749900, 999919, 1249974, 1500071, 1750216, 2000415?\n\"Answer: l**3 + 6*l**2 + 249940*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -2*x**5\/15 - x**4\/4 + x**3\/3 + 10*x**2. Determine o so that q(o) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k + 285. What is d(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 1.58. Let g = 0.02 - y. Which is the nearest to 1\/3? (a) 1\/2 (b) g (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48359*n**3 + 84540*n**3 - 9*n**2 + 9*n**2 + 95106*n**3.\nAnswer: 131287*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5. Let s(v) = 10*v**2 + 4*v + 4. Let z be s(n). Suppose -z = -5*p, -p = 3*i - 0*p - 5. Solve 4*u = 3*u - a + 2, -u = -2*a + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/53)*c)**0\/(c*c**(-12\/7)*c*c\/(c\/(c*c**(-1\/6))*c)) assuming c is positive.\nAnswer: c**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/7 - 260*d**4\/7 + 5343*d**3\/7 + 1674*d**2 = 0?\nAnswer: -279, -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 1, m: 2}. What is prob of sequence mfmj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -1. Let y(d) = d**2 - 10*d - 1. Let u be y(10). Let c(j) = -4*j**2. Let w(q) = q**2. What is u*c(v) + x*w(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 46*c**2 - 1. Let u = 1 + 2. Let o be q(u). Suppose g = 5*p - 3501, 2*p = 5*g + o + 992. Round p to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722 - 3*v + 40 + v - 645.\nAnswer: -2*v - 1327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -67*p + 63*p - 1608, -5*p + 2368 = 3*l. List the prime factors of l.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5752989771?\nAnswer: 3, 17, 6635513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(160))\/sqrt(5) + (sqrt(3200) + 0 + sqrt(3200) - sqrt(3200))*1)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and 0.037?\nAnswer: 0.02072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 279\/6 - ((-715)\/(-26) - 150\/6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 134*q + 158. What are the prime factors of l(6)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -74.0511488 and -3.\nAnswer: -77.0511488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x - 3. Let q = x + 1. Which is greater: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481255 is divided by 60111.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -48. Suppose -2*i + 4 - 6 = v. Let x = -2.21 - -2.41. Which is the third smallest value? (a) -3 (b) -0.01 (c) x (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875*r + 870*r = 5. Which is the closest to 2\/5? (a) r (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vra when three letters picked without replacement from aarvlza?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:02 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l**2 - 303*l + 64. Let w be x(20). Let u = 1 - -4. Suppose -z + u = 4. Calculate the greatest common factor of z and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 less than 679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + 52. Let t = -127 + u. Let m = 46 + t. What is the third biggest value in 5, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**2 - 65*b**2 - 34*b**2 - 21*b**2.\nAnswer: -103*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -1087*k**7\/42 - 77*k**4\/4 - k**3\/2 - 1190*k. What is the third derivative of u(v) wrt v?\nAnswer: -65220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 2 - (-59 + -3 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -0.3 (b) -3 (c) 0.11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/69 > -1140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 15 = -4*n. Sort n, 5, -1, 3.\nAnswer: n, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1584) - (sqrt(1584) + 1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0080835 - -28.6988235. Let q = z + -28.7. What is q rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 392*f + 1. Let q = -19 - -29. Suppose -q*v + 13*v - 6 = 0. Is t(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 3 + 6. Let p = -4 - -6. Solve d = -p - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 745, 910, 1077, 1246?\n\"Answer: k**2 + 162*k + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1430*a**3 + 7972 + 6*a - 2*a**2 - 8*a**2 - 8032. Let x be h(10). What is x rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) - (sqrt(153) - (sqrt(153) - (sqrt(153) + -5*5*sqrt(153) + sqrt(153) + sqrt(153) - sqrt(153))))))\/(sqrt(81)\/(sqrt(90)\/sqrt(810))).\nAnswer: 40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (14 - 14) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 23*l**2 + 3*l + 6. What is c(2)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 496643*q**3 - 372480*q**2 = 0. Calculate q.\nAnswer: -124160, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4390668.9 rounded to the nearest ten thousand?\nAnswer: -4390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f - 83. What is b(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-132))\/(2\/(-4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98055684758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:05 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138443*v**3 + 740900*v.\nAnswer: 830658*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppup when four letters picked without replacement from {u: 1, p: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpsz when four letters picked without replacement from {t: 2, s: 3, z: 6, p: 1, h: 4, g: 2}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 41958?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 = -3*s, -7 = z + 4*s - 42. Does z = 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*q + 72, -21*q + 25*q = b - 28. Suppose -7 = n - b. Is n at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.4 + 10. Sort p, 0.02, 0.5.\nAnswer: p, 0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6547 = -6538, m + 27*n - 24*n = -27 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4498628161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h*h*h**(-1\/14)*h)\/h))*h*h**8)**(-20))**(-46) assuming h is positive.\nAnswer: h**(70380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 42 + 38 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*sqrt(539)*2)**2 + 2*(sqrt(55)\/sqrt(5) + sqrt(11) + 5)) + -2.\nAnswer: 24*sqrt(11) + 116482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3981 + 3973. Let r(o) = o**2 - 4*o - 8. Let c be r(-6). Let d be f\/c + (-280)\/(-637). Sort -0.3, d, -0.5, 4 in decreasing order.\nAnswer: 4, d, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3247 + 3245. Is k greater than -24\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 * -0.2\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94362240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105014088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506896 is divided by 506399?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -290, -4200, 5 in ascending order.\nAnswer: -4200, -290, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16\/8*(-173)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0202167897 plus -0.01?\nAnswer: -0.0302167897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d + 186*d + 38*d + 1170 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -200, -241, -320, -449, -640, -905, -1256?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3 - 4 - 2*b + 8*b. Let o(j) be the third derivative of 13*j**4\/24 - j**3\/3 + 641*j**2 + 2*j. Calculate -2*o(c) + 5*x(c).\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030043 (base 5) in base 10?\nAnswer: -17523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.6 (b) -0.0285 (c) 9\/4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*c + 3*c - 335 + 31 = 0. Solve -24 = -3*i + 7*i + 2*w, c*i + 14 = -2*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + v**3 + 2 + v**3 + 105*v**4 + 2*v**2 - 94*v**4 + 0*v + 196*v**4 to a*v**2 + r*v**3 + x*v + u*v**4 + t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6c861 (base 13) to base 14\nAnswer: -5281b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-36) + (-5)\/(-2) - 2. Suppose -a = -s + 22. Let r = 47 + a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*s**2 + 61*s**2 - 11*s**2 in the form j*s**2 + o + w*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285792178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52051 = 814*f + 8597*f + 503198 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7416 a factor of 1073717634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*g - 14. Let u(h) = 2*h**2 + 13*h - 18. What is the remainder when u(5) is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -7 (c) -4 (d) -2 (e) -1\/8 (f) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(-2 + 1 - 1) - 5 + 2 + 2 - 2 + 1 + 3)*(-10022 + 10022 + 88*s**2).\nAnswer: 440*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -2\/11, -4\/3, -1.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:46 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-3) + (-1)\/3. Let h be (-1)\/(-3) + (-33)\/v. Solve 0*b = 2*b + h*y + 20, -4*y = -4*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*a**2*s*x**2*y + 11*a**2*y**2 - 3*a**2*y - 2*a*s*x**2*y - 2*a*s*x + 3*a*x**2*y**2 - a*y - 5*s*x**2*y**2 wrt y.\nAnswer: 22*a**2 + 6*a*x**2 - 10*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d - 9*d - 17*d)*(2 - 3 + 2)*(2*d**3 + d - d).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 3\/5, -1024?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - h + 5*h)*(-18 + 9 - 9) in the form k + b*h and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/15 + 10*z**4\/3 + 313*z**2 + 820*z. What is the first derivative of x(t) wrt t?\nAnswer: -8*t**3 + 80*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*u = 655818, -2*u = -u + 6. What is f rounded to the nearest one thousand?\nAnswer: 164000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 5. Let h be (-6 + 4743\/(-27))\/(1\/(-6)). Let q be 1\/(-3) - h\/(-30). Suppose 0 = -6*k + 10*k + q. Let d(p) = p - 2. Give k*d(o) + 4*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + 2 + sqrt(3) + 2 + 4.\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y + 395. Let l(j) = 5*j - 198. What is 5*l(t) + 3*v(t)?\nAnswer: t + 195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 21 + l**3 + 5*l + l**4 - 32 to b*l**3 + j*l**2 + v*l**4 + n + w*l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0 + 0)*(-n**3 - 9*n**3 + 2*n**3) + (-6 + n**2 + 6)*(n**3 - 3*n**3 + 4*n**3).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 190, 215, 226, 217, 182, 115?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y**2 - 74*y**2 + 40*y**2 + 33*y**2 - 63*y**2 + 36*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r + 10 = 0. Let t = -19 - -4. Let v be r*(2 - 6\/t). Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-19.4\nAnswer: 155.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 23 = -0*h - 2*t, -5*h + 31*t = 7184 - 6952 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.114 - -0.2265. Let q = l + -0.1. What is q rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 2*m - 2*m - 59524*m**2 + 29776*m**2 + 29967*m**2.\nAnswer: 219*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8fa83 (base 16) to base 3.\nAnswer: -1002220011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5 - 26*t - 8 - 34*t + 43*t. Let k(y) = -9*y - 7. Give -11*k(g) + 6*q(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 2910*h + 2.\nAnswer: -2910*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -r - h + 107, -5*h + 329 = r. Is r not equal to 311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -17\/5, -4, -0.017008?\nAnswer: -0.017008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 1:16 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) -29 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*s = -163 - 217. Let m(x) = x**3 - 5*x**2 - 37*x + 14. Let o be m(9). Solve s*g - o = 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 406927?\nAnswer: 39\/406927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*sqrt(272) + -4 + (2*sqrt(272))**2.\nAnswer: -12*sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*b - 2, -5*z - 3*b - b + 7 = 0. Let s(u) = u**3 - 2*u**2 + 3*u - 4. List the prime factors of s(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21*j + 1. Is s(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wzzawxwzzahhwazz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 88. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1649 and 5525508.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51941\/112 + -3245\/7. Which is the third smallest value? (a) -4 (b) 0.4 (c) j (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3600633 (base 11) in base 7?\nAnswer: -104252100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926 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: Subtract 75 from 2476.4.\nAnswer: 2401.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1650, -0.1, -0.3, 0.1, 1.5 in decreasing order.\nAnswer: 1.5, 0.1, -0.1, -0.3, -1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -r + 1, 3*r - 1 = r + 5*u. Suppose -r*h = -4*h - 1. Let c = 1071 - 1066. Sort h, 15, c in ascending order.\nAnswer: h, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*b - 12 = 0, -60*o + 4*b + 12 = -55*o. Solve -5 = s + 2*d - 8, -5*s + 4*d - 41 = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -11) + (1746 - 1816 - (-15 + -1))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114323966 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57, 115, 173, 231, 289?\n\"Answer: 58*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 34645*k = -34643*k + 82, -5*u = -3*k - 207 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2564464 and 98?\nAnswer: 2564464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 126 - 45937?\nAnswer: -45811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {r: 2, y: 1, s: 2, j: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 233, 2, 620, 1, 6.\nAnswer: -5, 1, 2, 6, 233, 620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 507270 and 405816?\nAnswer: 2029080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4107426*u**4 - 9751050*u**2 wrt u.\nAnswer: -98578224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -50, -61, -92, -149?\n\"Answer: -v**3 - v**2 + 13*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:27 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/70 and -31\/330?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6) + 1)*(-24)\/(-18) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 - 2) - (2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 6\/(-9)*(17 - 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -8, 0.2 in decreasing order.\nAnswer: 0.2, -3, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 680 divided by -68\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -12. Let c = d + -10. Suppose 5*l - c = 3*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 69531*o**3 - 139611*o**3 + 10 + 70079*o**3 + 6*o**2. Suppose -5*l = -4*k - 10, -l + 2*k - 9 = -k. Give h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -15. Let z be (-110)\/(-44) + n\/(-2). Solve -2*x = z*r - 18, 0*r + 17 = 3*r + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*x + 198 = -23*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 + 2502*p + 7533 = 0.\nAnswer: -3, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16617*-0.4.\nAnswer: 6646.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j - 3. Let n(l) = 7*l**2 + 7*l + 2. Let c(r) = 10*r**2 + 10*r + 3. Let t(k) = -5*c(k) + 7*n(k). Calculate -s(f) + t(f).\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/14*2 - (-5246)\/301. Let f be (-102)\/a*2\/(-3). Solve 5*r - 19 = f*v + 14, 6 = -3*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 53 - (24 + -5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 72. Let n be l(-32). Sort n, -24, 2.\nAnswer: -24, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1562*f + 14010. Let p be y(9). Are p and -615\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 2. Let i be a(0). Suppose i = -5*x + 6*x. Suppose 10*j - 5*j = -x*p - 2290, -4*j - 1142 = p. Round p to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s + 6. Is 6 a factor of (18\/(-8))\/(s\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.022 - 0.022. Put 0.5, 0.1, 2\/7, n in ascending order.\nAnswer: 0.1, 2\/7, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240))\/sqrt(10))\/(sqrt(12) + 4*sqrt(12)*-2 + sqrt(12)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:56 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -43. Calculate the greatest common factor of u and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p. Let v(n) = 8853*n. Calculate 1135*s(t) - v(t).\nAnswer: 227*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2882*p**6 - p**4 + 8*p**3 + 33654*p**2 + p.\nAnswer: 345840*p**3 - 24*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558223.2l in millilitres?\nAnswer: 558223200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -13.16, 3 in decreasing order.\nAnswer: 3, -0.2, -13.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 6, 5, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 7.39, -265\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3609 and 480398.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -36, -92, -172, -276, -404?\n\"Answer: -12*a**2 + 4*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68194 and 560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1898190 divided by -271170?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 11 = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -254, -6, 1, -2, -20.\nAnswer: -254, -20, -6, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276865.1 - -276865.50999944. Let z = -0.41 + p. Round z to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) - (-37 - -37)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25106 - 124892\/5. Let l = -128 + f. Put -1, 1\/18, l in decreasing order.\nAnswer: 1\/18, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzttittatzzii. What is prob of picking 1 i, 2 t, and 1 z?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 + 10*v**3 - 4*v**3 + (1 - 1 + 4*v)*(-2*v**2 + 0*v**2 + 4*v**2) to the form m*v**2 + b*v + h + s*v**3 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u - 12*u**2 - 18*u**3 - 3*u**5 - 9*u - 12*u**4 + 8*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2048 - -2908. Suppose -k + u = 2*w + w, -2*k + 1705 = w. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 261?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -4. Suppose 0 = 5*b - 3*q - 15, 2*q + o = -b + 5*q. Suppose -12*v = -15*v + b. Put v, 1, 4 in decreasing order.\nAnswer: 4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + -11 + -3 + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 777 and 12105408.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = 540. Let r = y - 127. Solve s + 5 = 3*v, -5*v - 4 = r*s - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 331033 + 1324122 - 331030 - 331031 - 331028.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23220 (base 4) in base 15?\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 17*x - 12*x. Suppose -x*t - 5*t + 693810 = 0. Let j = t - 28570. What is j rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**9\/336 - 7*b**6\/360 + 14*b**3\/3 + 4. Let k(n) be the third derivative of j(n). Find the third derivative of k(x) wrt x.\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424 = 3*o - 4*d, 4*d = -o + 5*d + 476. Let f = o + -9597\/20. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13 + 2*z - 14.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 6) to base 10\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -358, -441, -524?\n\"Answer: -83*a - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9061, 50, -91 in descending order.\nAnswer: 50, -4, -91, -9061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**7\/70 - 7*r**6\/180 + r**5\/60 + r**4\/6 - r**3\/6 + 2*r**2. Let b(w) be the first derivative of a(w). Factor b(z).\nAnswer: -2*(z + 1)*(2*z - 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 10*y**2 + 1. Let d be w(10). Let o = 14 + d. Let k(h) = h**3 - 5*h**2. Let l be k(5). Solve 5*s = -o - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352505*-0.048.\nAnswer: -16920.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 3*i + 10. Let q be l(5). Suppose -5*z = -2*d + q, -z - 10 = -d - 3*z. Suppose 0*n = n. Solve n = -5*h - 2*k + 2 + 14, 0 = -h + 4*k - d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 509\/3 - 5\/(3 + -18). Let b = 175 - k. Sort -2, 2, b in descending order.\nAnswer: b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 4 + u - 4*u - 8 + 11*u. What is s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -4 (b) 2\/9 (c) 2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a. Let w(y) be the third derivative of y**4\/24 + 106*y**2. Determine t(w(q)).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/2*111\/(-407).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x + 329*x**2 - 2*x - 182*x**2 + 6*x - 179 - 146*x**2. Give v(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 - 2 = -x, 3*a - 9 = 3*x. Suppose a*y + 0*y = 3*h + 16, 5*y + 3*h + 2 = 0. Let o(c) = 2*c - 1 + 30*c**y + 31*c**2 - 64*c**2. Determine o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24292757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 117\/14, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4776 = -5*n. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = m + 82. Suppose -3*j - m*j + 215 = 0. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4729972 divided by 13.\nAnswer: 363844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(68)\/sqrt(4) + (2*sqrt(17)*-2 - sqrt(17))**2 - 5*sqrt(1377)*2.\nAnswer: -89*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q + 3\/2*q**2 + 0*q**3 + 0 + 1\/12*q**4. Let l(x) be the first derivative of j(x). Let c(k) = 4*k. Calculate c(l(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*d - 6*d + 20 = 0, 5*d = -2*r + 25. Let s(f) = -f**3 - 2*f. Let t be s(r). Solve i + 1 = a, 3*i + t*i - 37 = -5*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h + 12. Let q(r) = r**3 + r**2 - 2*r - 2. Let i be q(-1). Calculate the smallest common multiple of 33 and d(i).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-72)\/9 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722001 is divided by 837?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-1) + -4 + 6\/((-180)\/(-219)). Which is the nearest to k? (a) 2 (b) -2\/13 (c) -3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*o + 48 = 0, 2*h - 3*o = 26 + 15. Solve 25*n - 15 = h*n, -21 = 4*p + n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1332 and 7140?\nAnswer: 792540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3168 and -103\/312138?\nAnswer: 54936288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/184 - -413\/1656. Which is the biggest value? (a) x (b) -0.02 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -21, 3, -4 in descending order.\nAnswer: 3, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20204 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1134\/756*(-16)\/6. Let f = -14 - -12. Let b = 0.3 + 2.7. Sort m, f, b in decreasing order.\nAnswer: b, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86 and -0.26.\nAnswer: 22.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19782 and 11413?\nAnswer: 225771966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114*z**4 + 2*z**3 + 26*z - 21009 wrt z?\nAnswer: 456*z**3 + 6*z**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 67 (c) -4 (d) 0 (e) 330.726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 625, 626, 627, 628, 629?\n\"Answer: l + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 2, j: 2}. What is prob of sequence ej?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14272 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + (2 + 9 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 2*h - 4*h)*(-4*h + 4*h - 4*h) + h**2 - 2*h**2 - 3 + 0*h**2 to the form w*h**2 + a + p*h and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 31 = -31. Let v = 67 + l. Let u(y) = 2*y**2 - 8*y + 5. Determine u(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Suppose -c + q*i - 2320 = -5*c, -2*i + 1158 = 2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 10480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 658432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + 1 + 6 + -48 + 30.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706179436?\nAnswer: 2, 127, 1390117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.09 (b) -24 (c) -0.03 (d) -2\/7 (e) -1003 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77640 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10408\/9 + -1156. What is the second smallest value in 0.6, -17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 + 0 + 0 - i + 7. Let c be j(8). Suppose 0*m - 16 = -c*m. Calculate the remainder when 29 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-5)*y*(y\/(y*y\/y**(-4\/7)*y)*y)\/y)\/((y\/y**(-6))\/y**(3\/8))*((y*y*y**(-9)*y)\/(y*y**(2\/7)))**(-8) assuming y is positive.\nAnswer: y**(2637\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 424003 = -3*x, 0*x = -3*j + 3*x + 254397. What is j rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 210 (c) -2\/11 (d) -479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -992446 rounded to the nearest 1000?\nAnswer: -992000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63724.8465 milliseconds in weeks?\nAnswer: 0.00010536515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*w - 41 + 4, 3*r - w + 11 = 0. Let j be ((-4)\/r)\/(5\/(-25)). Let y = 7 + -2. Which is the third biggest value? (a) y (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose j = 3*z - 12 - 23, -28 = -2*z - g*j. Factor -25*m**3 + 10*m**3 + 11*m**3 + z*m + 8.\nAnswer: -4*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-160)\/(-4) + 1). Is -42 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2*i + 0*i**2 - 1\/7*i**7 + 0*i**5 + 0 + 0*i**3 - 11\/12*i**4 + 0*i**6. What is the third derivative of c(u) wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738278349 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -65418 (base 10) to base 4\nAnswer: -33332022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t + 39*t**3 + 3*t**2 - 16*t - 1805*t**3 + 1 - 2. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/5? (a) 5 (b) 9396349 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2759\/1335 + (-2)\/30. What is y in 2\/3*y**3 - v*y + 4\/3 + 0*y**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*h - 44. Let f be (3 + -2)*(h + -5). Put 3, f, -5 in ascending order.\nAnswer: -5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/5, 1, 19, 6 in decreasing order.\nAnswer: 19, 6, 1, 2\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5706*b - 3 + 7366*b.\nAnswer: 13072*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 364. Give o(-31).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 5\/6*r**3 + 0 + 1\/4*r**4 + 0*r**2 + 8*r. What is the second derivative of d(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Let o be 10\/(-40)*4*-2. Let i be ((-3)\/(-24)*4)\/o. Which is the closest to i? (a) l (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -41*c. Let f(y) = 1111*y**2. What is u(f(a))?\nAnswer: -45551*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 1. Determine v(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82292531?\nAnswer: 82292531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by ((-36)\/(-18))\/(3\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002209 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/(-4)*(93\/(-620))\/((-45)\/(-120))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -6*r - 58 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 19992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405444*b + 405440*b - 124*b**2 - 810884*b - 1.\nAnswer: -124*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from orrorrrr.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 51 = t, 3*n - 52 - 20 = -3*t. Suppose -n*a = -28*a. Solve -3*y - c + 15 = a, -3*c = 4*y - 23 - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 3825 = 17*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 21*y + 24*y = 0. Suppose -2*v + 6 = -4*d - 6, v - 9 = 3*d. Let i = 3 + -2. Which is the nearest to y? (a) v (b) i (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4035 divided by 1.\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - y + 6. Let i(d) = -3*d**3 - 2*d**2 + d. Let v be i(1). Let u be r(v). Is 1*(18\/(-27) - 7282\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -35. Suppose 2*r = -3*b - 4, r - 2*r = d*b + 9. Let g be 9\/10 - (-4)\/(-8). Sort -0.3, b, g in decreasing order.\nAnswer: g, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-136)\/(-12)*-1. Let s be (4\/6)\/(2\/51). Calculate the greatest common divisor of a and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2609 is divided by (17 + -11)*1125\/270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeepeppe. What is prob of sequence eppp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -516 + 250 + 266 - 521*z in the form r + w*z and give w.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2181743 = -233*a + 2425366. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39879.8619 to the nearest one hundred.\nAnswer: -39900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9692 by -15.\nAnswer: -9692\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (286\/6)\/13 - (-2)\/(-3). Suppose r*s + 107 = 530. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h**(-16)*h*h*h*h*h*h)\/h)*h*(h\/h**(1\/12)*h*h*h)\/h*(h\/(h\/h**(-1))*h)**(7\/2) assuming h is positive.\nAnswer: h**(179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**6\/120 + u**5\/5 + u**4\/8 - 4*u**3\/3 + 2*u**2. What is the tens digit of l(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4.5, 4, 112.\nAnswer: -3, 4, 4.5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101558*c**2*n**3 + c**2*n**2 - 3*c**2*n - 35*c**2 + c*n**3 + 10*c*n + 5*n - 2 wrt n.\nAnswer: 609348*c**2*n + 2*c**2 + 6*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.5412814 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(22\/7))*l)\/l**(1\/5) assuming l is positive.\nAnswer: l**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9910296 and 54.\nAnswer: 9910296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064967802 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 5*h**2 - 2*h**2)*(5 + 5 - 5) + 14*h - 5*h**2 - 14*h.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9*(-6)\/4)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3060 and 131886?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534133993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from wavbvhbao.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/3)\/((-9)\/(-9)). Solve j + 3*j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169950 is divided by 945?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1025504 and -57\/1666444.\nAnswer: 13331552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4939*n + 4933*n + 4934*n - 14803*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87020, 696309, 2350126, 5570735, 10880400?\nAnswer: 18801385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 235 - 233. Suppose -5*b + 1586 = -w*j - 681, 2*b - 2*j - 908 = 0. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -0.5. Let l = p + 0. Let t = 46 + -139\/3. Which is the second smallest value? (a) -5 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41943841 is divided by 6990638.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -329*u. Let w(q) be the third derivative of q**4\/24 + 3*q**2 - 324*q. Calculate w(t(d)).\nAnswer: -329*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + -31. Let k = -10761 + 10721. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/126 - (-78)\/7. Let o = -15 - -5. Let y = o + 13. Sort y, q, 2.\nAnswer: 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 + 3*l + 4. Let s be g(6). Let k be s\/(-3)*(-18)\/(-12). Sort 5, k, 2 in decreasing order.\nAnswer: k, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 6*a**2 - 6*a + 11. Give w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12219289*i**2 - 10182703?\nAnswer: 24438578*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/5*1 + (-12 - -16 - -31)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.033 (b) -8\/17 (c) 0.62 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1)*(1 + 0). Suppose 2*v = -s*v. Suppose 2*l - 36 + 0 = v. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2459145 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from pjppmwpprpmmm?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20101 - 22595 + 48799)*(-4 - 3 + 2*y**2 + 6) to r*y + f + t*y**2 and give f.\nAnswer: -6103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10063000 is divided by 6166.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1466626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305900 rounded to the nearest ten thousand?\nAnswer: 2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 7*x - 3. Let d(h) = -h - 11. Let n be d(-5). Let p be c(n). Let t be (-77)\/(-18) + 14\/p. Which is smaller: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/12 + t**3\/3 - t**2. Let s be l(-2). Let i = 1 - s. Solve -2 = i*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -46. Suppose -5*a + 4*q = -101, 4*a - 103 + f = 2*q. What is the highest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmllldlhojlmldljld. What is prob of sequence dom?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -z + 33, 317*b + 5*z + 3 = 320*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2069839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 2:24 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-18))\/((-48)\/36). Which is the nearest to 0.1? (a) 0 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 18 + 14 + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 81. Let h be (8\/(-126))\/(j\/30). Determine z so that 0 + 2\/7*z**2 + 2\/21*z**3 + h*z = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72.035 - 73. Let o = n + 1. Round o to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93.51 + 114.6. Let q = x - 21. Let w be -1*(-2 - 45\/(-21)). What is the biggest value in w, -5\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 41*b**2 + 2*b - 2. Let k be (-9*(-8)\/(-12))\/(0 + -2). Is p(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 + 18645*h - 55890 = 0.\nAnswer: 3, 3726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 28*r - 96. What is o(-33)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**2 + 2*k**4 + 2*k + 8*k**2 - 3*k + 1 to the form f*k**3 + n*k**4 + d*k + z*k**2 + l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9230 and 5270?\nAnswer: 4864210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*q**5 - 648*q**4 - 3020*q**3 - 7*q**2 - 440*q - 54 wrt q?\nAnswer: -600*q**2 - 15552*q - 18120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 720 = -5*s - 0*v, -3*s + 4*v + 428 = 0. Let t be (s\/37)\/(4\/150*3). Calculate the highest common factor of t and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:41 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7892.668 millilitres in litres?\nAnswer: 7.892668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4\/3)*n)\/(n**(-2\/17)*n))**(2\/73)\/(((n*n**(-2\/5))\/n)**(-3\/7)*((n**0*n*n)\/n*n)**(-28)) assuming n is positive.\nAnswer: n**(7273972\/130305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 - 5. Let c be (-46)\/8 - (-2)\/(-8). Let b be l(c). Let m = 9 - b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 31*b + 28. Calculate w(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -25a3?\nAnswer: -2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(17)*2 - (sqrt(17) + 0 + 2))**2.\nAnswer: 44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61297 - 61297 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492 = 6*k - 2*j - 510, -6*j - 31 = k + 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j - 5*f = 146, -151*j + 2 = -148*j - 2*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*t - t = 158, 174 = 4*c - 2*t. Find the second derivative of 2*x - 24 - 46 + 249*x**2 - c wrt x.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -634 - -658. Let z = 94 + -22. Suppose p - 2*l - 50 = 0, -3*p = -2*l - z - 74. What is the highest common divisor of p and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35667 or -36358?\nAnswer: -36358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -26. Suppose -2*x = 2*j - 4, j + 4*x = -0*j - 4. Calculate the remainder when s is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:23 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8848 and 811172.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)\/(-3 + 2) + 25. Solve -3*g + 0*g - 12 = -q, 0 = 4*q - 4*g - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g**2 + g + 2. Let z(o) = -o**2 + 2. Calculate -j(m) + 3*z(m).\nAnswer: -23*m**2 - m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209879.\nAnswer: 41, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 232?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a hour in minutes?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 + 4*g - 8. Let v be d(-6). Let y(k) = -k + 4. Let m be y(v). Suppose x = -m*x + 191. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. Suppose u*k + 2*k = -4*x + 4, 3*k - 2*x - 6 = 0. What is the smallest common multiple of k and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6207283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/4*(-28818)\/24015.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 2 + 2)*(-3 + 6 - 2) + 18*b - 2*b**3 - 18*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/2*(-56)\/(-21). Let m = i + 52. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 24*g + 1. Let a(l) = -4*l**2 + 48*l - 3. Give -3*a(o) - 7*q(o).\nAnswer: -2*o**2 + 24*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -7*m**2 + 5523. Let n(u) = 51*u + 2. What is n(l(d))?\nAnswer: -714*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1519, -2398, -3863, -5914, -8551?\nAnswer: -11774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((-1736)\/(-32) + -53)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 53448?\nAnswer: -53443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -2\/3 (c) -1\/3 (d) 1 (e) -8.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 40) + (-1 - -19) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1874.\nAnswer: 1\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:28 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 118?\nAnswer: 18054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -8*v - 2. Suppose -v*z + 3*d + 157 = 0, 4*z - 9*z - 3*d + 163 = 0. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, 1 f, and 1 d when four letters picked without replacement from sxxdujff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*z + 149*z**3 + 0*z - 424 - 115*z**3 + 217*z**3 wrt z?\nAnswer: 753*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 + 57*g - 33. Is a(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(18\/3) - -5 - 5. Solve l*n - 91*g - 38 = -86*g, -2*n - 4 = 2*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*u - 279, 3*b + 5*u + 360 = 1169. List the prime factors of b.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvrhyqvyrrgvrvr. Give prob of sequence vy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932 = -2*q - 0*q + d - 982, -4*q + 11*d - 460 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {n: 2, d: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2493 - 3356 + 1097 = -33*m. What is the greatest common factor of 2664 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0.8. Let d = 2794 - 2794.1. What is the nearest to -2\/7 in d, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51906 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: Evaluate -101 - (9 + -15) - (-70 - -45).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6350994 and 2943?\nAnswer: 6350994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 234. Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1186?\nAnswer: 1\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Let w = 0.08523 + -2.08523. What is the third smallest value in f, w, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6890432 divided by 496.\nAnswer: -13892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*j**3*l**2 - 49*g*j**3*l*s**2 - 3*g*j*l*s - 67*g*l**2*s**2 + 6*g*l**2 - 3*j**2*l**2 - 18*j**2*s wrt s?\nAnswer: -98*g*j**3*l - 134*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x + 45. Is 16 a factor of a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 = 2*n, 5*n - 3 = 7. Suppose q*o + 2*f - 42 = 0, -4*f = 4*o + f - 49. Solve -i - 6*a - o = -3*a, -4*a = i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(27 - 11)\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1633*n + 1185*n**2 + 273*n**2 + 1251*n**2 + 57*n**2 - 572*n**2 wrt n?\nAnswer: 4388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p - 2*q + 286207 = 0, 0 = 2*p + q - 114484. List the prime factors of p.\nAnswer: 7, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178 and 1?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - h**2 + h**2 + (1 - 2 - 1)*(-14 - 2*h**2 + 14))*(-2 - h**2 + 2) + (-5*h**2 + h**2 + 2*h**2)*(-62 + 62 + 11*h**2).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32749 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 4*g - 2. What is k(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + 101. What is the remainder when i is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 3080*l**2.\nAnswer: 4*l**2*(l + 770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + n - 2. Let c be h(2). Suppose 0 = -5*j + 5*x + 65, 13 = 2*j + 4*x - 19. Calculate the greatest common divisor of c and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2821063*s**3 - 173*s + 173*s.\nAnswer: -2821063*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -241*n**2. Let u(d) = -13*d**2. Let w(c) = 28*c**2. Let o(l) = -10*u(l) - 5*w(l). What is q(o(b))?\nAnswer: -24100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-6)*(-4 + 1). Let n = -2 - -6. Let w = n - d. What is the greatest common factor of w and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 18 = 0. Let s be (-10)\/(-45) - 29\/o. Let y(v) = 2*v**2. Let x(w) = -w**2. What is s*x(h) - 2*y(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 140617996 to the nearest one million.\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/(-4) + 4\/(-16). Let w be -3*((-138)\/(-18) + -6). Sort 1, w, s in descending order.\nAnswer: 1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4285, -6563, -8843, -11125?\n\"Answer: -o**2 - 2275*o - 2009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z - 25. Give q(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 112\/6*(-12)\/(-4). Suppose -t = 5*j - 3*j. What is j rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 - -1546?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (sqrt(396) + 1 + 0)) + 5*-1*sqrt(396))*3)**2.\nAnswer: 540*sqrt(11) + 89109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. Let t = -0.7 - -2.7. Let z = t + -5. Put z, d, 0 in descending order.\nAnswer: 0, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/143 - (-108)\/22. Suppose -5*t = -20, 0 = -y + 6*y - 4*t - 319. Is q*(y + 3 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49979399069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 19*l + 29. Give d(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63878338787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 483 - 183. Suppose -338 = -0*s - 5*s - 3*i, 4*s = 5*i + m. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 485796 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132725)\/(-21236)*6\/(-375)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137458 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2, 0.4, 0.1, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 2, l: 4, s: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 43*d**2 - 14*d**2)*(d + d + 0*d) + 2*d**2 + d**3 - 2*d**2 + (-2*d - d**2 + 2*d)*(-d - 8*d + 0*d).\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29558*v - 59111*v + 29551*v + 236)*(-1 + 1 + 2*v**4).\nAnswer: -4*v**5 + 472*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -306 + 463. Suppose 10*l - g = 1633. Suppose -10*u + l = -9*u. What are the prime factors of u?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14475 + 31?\nAnswer: 14516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1073 + 1082 + (-8 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884760.\nAnswer: 2, 3, 5, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 4*l**4 + 25*l - 18 - 20*l + 0 + 2*l**2 in the form x + t*l**3 + f*l + s*l**2 + a*l**4 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**5\/12 - j**4\/24 + 2*j**3\/3 - 1. Let t(k) be the third derivative of u(k). Determine t(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -24. Let s = 336 + -224. Let o = s + -331\/3. Which is the closest to n? (a) -2 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4908144850.\nAnswer: 2, 5, 7, 41, 211, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2886*t + 2422*t = -15312 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + -132. Let c(b) = -b**3 + 4*b**2 - 4*b + 1. Let d be c(q). Solve o - f + 3 = 8, f + 4 = d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201*a - 2232*a - 341 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**2 + 63156153*t + 31578075 = 0. Calculate t.\nAnswer: -10526025, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -18713296.\nAnswer: -14970636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36061, -36064, -36067?\nAnswer: -36070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 28*l - 93. Determine m(-19).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 171*q**2 - 63*q - 184. Give b(86).\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22103231313 + -11?\nAnswer: 22103231302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6687*g**3*s**3 + 2537*g**3 wrt s.\nAnswer: -20061*g**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3653*y - 9 = 2*q - 3657*y + 5, -10*q - 33 + 9 = 3*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n**3 + 4*n**2 + 9*n - 7. Let b(k) = -5*k**3 - 2*k**2 - 4*k + 3. What is 3*a(i) + 7*b(i)?\nAnswer: -2*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**9\/1512 + l**5\/40 - 6*l**3 - 15. Let t(c) be the third derivative of k(c). What is the second derivative of t(w) wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(sqrt(3) + -2)*-3.\nAnswer: -45*sqrt(3) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3567 is divided by 743?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*j + 1, 7*j = -3*b + 12*j - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 20 = -11*h. Let c be 2\/5*h\/16. Let n = -4.96 + -0.04. Put n, 1\/5, c in decreasing order.\nAnswer: 1\/5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 35541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 281\/(-5339) - (1 - 1)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 22. Let v(z) = z - 7. Let l be (0 - (-4)\/(-6)) + (-36)\/27. Let n(p) = l*b(p) + 7*v(p). Calculate n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 - t**3\/3 - 2*t**2. Let j be p(-7). Solve 4*i - 3*i - j = -b, i = -2*b + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*l + 616558, -16*l + 3*w = -20*l + 411056. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 504 = -32*b. Solve -j - b = n - 37, 2*j + 5 = 5*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.4, 5, -1045?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 5*v**4\/12 + v**3\/2 + v**2\/2 + 12*v. Let p be n(-1). Suppose 0 - 2\/3*y**p - 7\/3*y**2 + 2\/3*y + 7\/3*y**4 = 0. Calculate y.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1364, -1662 in decreasing order.\nAnswer: -6, -1364, -1662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105164 and 3879?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26902323 and 2537955.\nAnswer: 134511615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104310 and 3097665.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*20\/(-15)*(-111 + (-19044)\/(-184))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 11*t**2 + 44*t - 39. Let n be g(3). Calculate the highest common factor of 12480 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.36 - 0.06. Let b = -0.2 + n. Let y = 15 - 11. Sort b, y, 2\/7 in ascending order.\nAnswer: b, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27687305.\nAnswer: 5, 17, 283, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 6.07163?\nAnswer: -1.821489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -p + 3, 5*m - 3*p = 7. Let d(b) = 0*b + 0*b + 5 - b**m + 3*b - b. Let z be d(0). Is z > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20123 - 434?\nAnswer: 15245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 8*q**2 - 16*q - 13. What is z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/10)\/((-6)\/116). Let l = c - 24. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3733 - -4264. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/21)\/(3 + 120\/(-42))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 - (5 - 9) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)*y\/(y**(-16\/5)*y)*y assuming y is positive.\nAnswer: y**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*o**3 - 8401*o + 8401*o + 70*o**3.\nAnswer: 396*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79.124 or 4314?\nAnswer: 4314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, c: 1, f: 1, d: 4, s: 1, v: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - 5*u - 7*u**2 + 64 - 22 + 11*u**2 + 2*u**3 to c*u**2 + k*u + n*u**3 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -55 (b) 174 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 + 5*g**2\/2 + 17*g. Let p be -1 + 18\/(-2) + -1. What is the units digit of j(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/460983 and -36\/5?\nAnswer: 2304915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*t - 4, 4 = -5*t - 2*m - 1. Let j = 1 + t. Suppose d = -j*d + 420. What is d rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 11. Let z = 0.811 - -0.189. Which is the closest to z? (a) -0.4 (b) 0.8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3153 - -9795. Does 82 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/570 + p**4\/19 + 11*p**3\/57 - 24*p**2 - 2. Find f such that m(f) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1397\/5540 + -3\/1385. Let v = 54\/11 + -313\/66. Let m = -0.3 - 0.1. What is the closest to z in m, 4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f, -4*m + 2*f - f = -36. Factor 0*t + m*t**3 + 5\/2*t**4 - 25\/2*t**5 + 2*t**2 + 0.\nAnswer: -t**2*(t - 1)*(5*t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + 142 + -2 + 6 + 15?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1433143447 to the nearest integer?\nAnswer: 37857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -33*i**2\/2 - 15*i + 9. List the prime factors of p(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 13, p: 4, g: 3}.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182.5 - -183. Let g = 1842.9 + -1843. What is the closest to 3 in -24, g, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.85 + -1.79. Let t = -0.24 - m. What is the third smallest value in 1, t, -0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 15202707?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3685905 decades to years.\nAnswer: 3.685905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u - 61*u**3 - u**2 - 6 + u**2.\nAnswer: -61*u**3 + 28*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:06 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 241326431 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/252 - 44\/(-48))\/(-47 - 0)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*m - 902, -m + 0*m + 3597 = -4*x. Let z = 252 - x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25 - 14)\/(-2 - (-33)\/15). Determine o, given that -11*o**2 - 5*o**3 + 76*o**2 - b*o**3 - 5*o**4 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(500))*-1 + 4)**2.\nAnswer: -1050 + 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 915 - 929 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -26.87. Let t = w - -15.87. Let f = 15.88 - t. Sort -1\/7, 1, f in descending order.\nAnswer: 1, f, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3\/3 - 3*u**2 + 2*u - 140. Let g be q(0). Solve 5 = 4*w + m - 0, -5*m = -g*w - 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 157*s - 4900 = -17*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745435511 + 183*r**3 - 745435511.\nAnswer: 183*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 553 = 3*c. Suppose -k = -4*q - 0*k + c, -255 = -5*q - k. What is the hundreds digit of ((-42)\/(-10)*-1)\/((-2)\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (500\/75)\/(3*(-3 - (-87)\/27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 21 = 2*t, 6*t - 2*t = -m - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/13)*n)\/n)**(-1\/6))**(-1\/16)*(n**5\/n*n**(1\/10))**(1\/20) assuming n is positive.\nAnswer: n**(3223\/15600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7 + 19*r**2 - 2*r**2 - 3*r**2 - 7*r. Let f(q) = 8*q**2 - 3*q + 3. Let w(l) = 9*f(l) - 4*n(l). Let o be w(-1). Sort -4, 0.2, o.\nAnswer: -4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i - 2996 + 2996 + (-1 + 2 + 1)*(13*i + 29 - 29).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqhmqqqqmhqsqqimimqs. What is prob of sequence sii?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 10132*n**2 - 101876*n - 396708.\nAnswer: 4*(n - 13)*(n + 3)*(n + 2543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 - n + 46. Let a be v(0). Solve -52*i = -a*i - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 18. Let k(o) = 20*o - 53. Let d(t) = 6*k(t) + 17*n(t). Let b be d(17). Solve b*z + 2 = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15 = -9. Solve 3*v - v + j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18050 and -127\/147793400?\nAnswer: 147793400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18) - 638\/1089\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94622*i + 94452*i - 2550 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 8:21 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**2 + 9*p**2 + 11*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1126 and 3134784?\nAnswer: 3134784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(3388) + sqrt(3388) + -1*(3*sqrt(28) + sqrt(28) - sqrt(28)) + 4 + sqrt(1008)*3 + -1))**2.\nAnswer: 14400*sqrt(7) + 1613025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/794 and -99\/4.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 + 3 - q - 1017*q**4 - 3*q**2 + 1011*q**4 to the form n*q**2 + c*q + u + j*q**4 + l*q**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-39)\/(-6) - (108\/(-12) - -16). Which is the closest to 13? (a) q (b) 1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*o**2 - 740*o + 740*o + (3 + 0 - 4)*(-5*o + 4*o - 8*o)*(-2*o - 2*o + 8*o).\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 3*l - 15. Let r(s) = s**3 - 2 - l + 1 - 2*s. Let z be r(3). Which is smaller: z or 18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184144 is divided by 36815?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/6 - 2)\/1691. Let t = -339871\/101460 + g. Find the common denominator of t and (-6 - -7)\/(2\/(-10)) + (-1661)\/(-176).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -109.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let s(j) = 4*j - 10*j + j. What is g(s(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.35 - -80.65. Let o = 82.0112 - f. Round o to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8972731, -8972728, -8972725, -8972722?\nAnswer: -8972719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 + 2.11. Let p = -19958 + 98572\/5. Let o = 244 + p. Sort o, 2, -2, n in increasing order.\nAnswer: -2, n, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109943 is divided by 36577.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-1)\/1 - 1). Let g(k) = 3*k + 5. Let a(i) = 3*i + 4*i - 5*i - i. Let n(m) = h*g(m) + 2*a(m). What is the derivative of n(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*y = -0 + 3, -35 = 5*h - 5*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 6, v: 4, o: 1, p: 4, y: 2}. What is prob of picking 1 y and 1 q?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 4)*(-m - 3*m + 5*m) - 12*m + 27*m + 14*m)*(63 + 7*m + 253 + 9*m - 14*m).\nAnswer: 54*m**2 + 8532*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -b + 458, 2*b - 5*x - 903 = 3. Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1878\/41 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2858 (base 11) in base 12?\nAnswer: -2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 149*q**3\/5 - 606*q**2\/5 + 487*q\/5 - 6.\nAnswer: (q - 3)*(q - 1)*(149*q - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 + -167. Factor -5\/3*b**j + 0*b + 0 + b**5 + 1\/3*b**2 + 1\/3*b**3.\nAnswer: b**2*(b - 1)**2*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 + 21085*w**2\/4 - 21082*w + 21081.\nAnswer: -(w - 21081)*(w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 i when three letters picked without replacement from {j: 6, v: 4, o: 3, i: 4, y: 3}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -56351?\nAnswer: 3\/56351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**2*k*k**(2\/9) assuming k is positive.\nAnswer: k**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:43 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2063, -8263, -18595, -33059, -51655?\n\"Answer: -2066*q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6093721 to two dps.\nAnswer: 5.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -163. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 12*d - 1. Let n be q(12). Let s(l) = -l**3 + 2*l**2 + 3*l - 4. Let o be s(3). Let t = n - o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.2. Let r = 3.4 - 0.4. Let t = r - 5. Which is the biggest value? (a) -1\/4 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 2*l. Let y(c) = 2 - 2*c**2 - 3 - 3 - 8*c. Let q be y(-3). Let p be r(q). Solve -3*m + x - 3*x = -9, p = 5*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let y be b(5). Differentiate -11*w**2 + 14*w**2 - 9*w**2 - y with respect to w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:01 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -5*m + 3*m. Suppose 5*x = -60 - m. Let i = x - -60. Solve -d = 4*d - k + 13, 0 = -5*d + 4*k - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*o = 0, 36 = 3*a - 5*o - 4. Suppose 0 = a*c + 2*t - 50, -2*c + 3*t + 3 - 2 = 0. Solve 3*y + c = -s, -2*s - 3*y - 10 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 + n - 1. Suppose -43*a - 29*a + 169 = 97*a. Let f(s) = 66*s**3 - 6*s**2 + 6*s - 6. Determine a*f(y) - 6*k(y).\nAnswer: 72*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (-2167)\/(-4) + 1\/4?\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.96, -3, 108\/13, 3\/23, -2, 2 in decreasing order.\nAnswer: 108\/13, 2, 3\/23, -1.96, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 87\/32?\nAnswer: 87\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 115857\/(-5) - (-4)\/(-120)*18. Let h = s + 926763\/40. Find the common denominator of -3\/44 and h.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -3, -1\/956?\nAnswer: -1\/956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in 81, 5, -1\/2, 2\/5, 4, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -758359\/104 + 7292. Let z = 6361\/104 + x. Let f = -60 + z. Which is the second biggest value? (a) -0.5 (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + 18. Let t = v + 13. Suppose -k = -5, 5*x - 4*k + t = -1. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22782*n - 55948*n + 33165*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*u = u, 6 = 2*m + 2*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l + 2*l + 3872 = -21*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 2\/5 (c) -5 (d) -2\/11249 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*a - 6. Suppose v + 0*v - a = 0. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 161, 246, 329, 410, 489?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1179 and 5858451?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37933170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 - u + 31 + u. Let n be (-13 + 18)*(1 + -3)\/2. Let w(x) = -3*x**3 - 15. Let s(z) = n*w(z) - 2*h(z). What is the first derivative of s(c) wrt c?\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0 + sqrt(891) + -4)**2 + 3 - ((sqrt(99) - -2*sqrt(99))\/sqrt(3) + sqrt(33))\/(sqrt(6)\/sqrt(2)*-2 + sqrt(3)))*-4*2.\nAnswer: -28664 + 1120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 14370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250369988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 15) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1035, 4, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374420031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.83 + -0.04022326013?\nAnswer: -26.87022326013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*c + 18, -v - 3 + 2 = -5*c. What is the highest common factor of 16 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/5 - (39 - (51 - 14)). Put 1\/32, x, -2\/5, -0.3, 5 in descending order.\nAnswer: 5, 1\/32, -0.3, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0158529ng to kilograms.\nAnswer: 0.0000000000000158529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**3 - 5*g**2 - 5*g - 1. Let x be t(-2). Suppose -3*a + 3*o + x + 2 = 0, -o = -2*a + 41. What is the highest common factor of 30 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let b(w) = 4*w**2 + 8*w. What is -5*b(l) - 40*i(l)?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8 + 319*g + 2 + 3*g**3 - 325*g - 2*g**2 to the form t + y*g**3 + i*g**2 + f*g and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-6)\/9 - 1. Let m = -35864\/3 + 11954. Which is the fourth smallest value? (a) l (b) 2\/7 (c) -4\/9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 383 - 352. Solve -3*a = -b + 13 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:11 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 128\/3. Let r = 9 - -52. Let n = r + -65. Which is the nearest to s? (a) 5 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2. Let c(f) = 996177*f**2. Determine r(c(t)).\nAnswer: -2977105845987*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from ipvvpipppvpp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 4666 - 4656 + 13976 - 4651.\nAnswer: -12*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 45?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 5*t = -8*t + 99975. What is the highest common divisor of t and 1290?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67.66 - -68.66. Which is the nearest to -0.5? (a) g (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16328506*f**3 + 3*f - 1858755 wrt f?\nAnswer: 97971036*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 = 3*y - 776. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + -6)*-15 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 613443?\nAnswer: 613443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 25*m + 37. Let z be q(-12). Which is smaller: z or 270\/11?\nAnswer: 270\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1380, -0.3, -1, -9 in ascending order.\nAnswer: -1380, -9, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 4*y - 1459 + 1501, 52*h = 4*y - 728 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2 - 1. What is the least common multiple of b and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-70))\/(3\/(-6))*(-2)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2335*f**2 + f - 12. Let c(a) = 1165*a**2 - 7. Calculate 5*c(t) - 3*j(t).\nAnswer: -1180*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1624 + -1623.945784. Round j to 3 dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 12. Calculate the remainder when o(3) is divided by -1*(-1*6 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.029 or 1.1707?\nAnswer: 1.1707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59411400.\nAnswer: 2, 3, 5, 83, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c - 16. Suppose -50 = -3*j - 36*i + 38*i, -3*j + 18 = 6*i. Put 5, c, j in ascending order.\nAnswer: c, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 0*c**4 + 2*c**5 + (4*c**4 + 3*c**3 - 3*c**3)*(-2*c - 3*c + 4*c).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29836601?\nAnswer: 31, 962471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 17*m - 44. Give f(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*n = -84, -n - 4*n = 5*v - 270. Let y = 37565 - 37555. Calculate the smallest common multiple of y and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -918*y**3 + 7*y - 113?\nAnswer: -5508*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((-64)\/12 + 5). Suppose 8*v - 5110 = -f*v. Is 37 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 32*t. Let f(n) = 18*n - 670. What is f(b(j))?\nAnswer: 576*j - 670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - o + 64. Let n be a(-6). What is the tens digit of 661 - (-6 + 4)\/(n\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 41. Let i = 0.7 + 16.3. Let l = r - i. What is the third biggest value in 0.4, -6, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 - 158.13. Let v(h) = -h**3 - 8*h**2 + 5*h - 34. Let j be v(-9). Put -4, 3\/7, n, j in ascending order.\nAnswer: -4, n, 3\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276421175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 2173?\nAnswer: 11\/2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1279*a - 1716 - 67350 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, i: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m - 1. Calculate the smallest common multiple of 218 and m.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 16. Let g(f) = -f - 5. Let k(w) = -16*g(w) - 5*n(w). Let x(a) = -15*a. What is k(x(j))?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -642, -1378, -2384, -3654, -5182?\nAnswer: -6962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19736)\/(-29604))\/(179\/(-3))?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 256\/18 + 8\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 10 - 180\/(-45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(18) - sqrt(2)) + (sqrt(243)*-3 - sqrt(243))**2.\nAnswer: sqrt(3)\/2 + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169025509 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 6) to base 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/9)\/((-1)\/3). Let s(z) = 3*z - 2. Let n be s(h). Solve n*d + d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 5. Calculate the least common multiple of 5 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-90)*6*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22309 is divided by 4344.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 243827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8023251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**3\/4 + 22191*q**2\/4 + 10371960*q + 415976283 = 0.\nAnswer: -3678, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69485646 and 27?\nAnswer: 625370814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-58)\/(-4))\/(2\/4). Let z = o - 25. Solve -2*j + 2 = -z*g, -12 - 3 = 5*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 0.7, 3, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 523*n - 4280. What is k(8)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 31 + 26)*(0 - 5*p + 0)*(17*p - 8*p + 19*p**2 - 9*p) to n*p**2 + o*p**3 + i*p + v and give o.\nAnswer: -6460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-9)*271\/(-2168)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889809 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1629*m**3 - 1580*m**3 - 8011*m**3 - 7335*m**3.\nAnswer: -15297*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8580 - -38826. Suppose 1135*b = 1129*b + i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b**2 + b**3 - 2*b - 2*b**3 - 3 - 2*b**2. Let j be s(-2). Let d(k) = -k**2 + 23*k + 29*k - 7*k**3 + 25*k - 75*k - 2 + 1. What is d(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35 - -1)*(3 - (3 + -1)). Suppose -s*p = -42*p - 63780000. What is p rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let q be (-744)\/22 + s\/11. What is the remainder when -2 + q*(-3)\/6 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0486 - -379.9514. Let t = r + -379.6. Let g = 393\/28 - 55\/4. Which is the closest to -4? (a) t (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/5, 26, 2\/3, -10 in decreasing order.\nAnswer: 26, 2\/3, -4\/5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 6, i: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 56709.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15718891 divided by -1?\nAnswer: 15718891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 4. Suppose 0 = o*x - 515 - 49. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 17. Solve -4*m + d = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*x = -130*x - 1101170. What are the prime factors of x?\nAnswer: 2, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10 and (-1)\/((-10)\/(-4)) - 9724\/15640.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, -5, -28, 5 in decreasing order.\nAnswer: 5, -5, -28, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119751, -958304, -3234373, -7666716, -14974091, -25875256, -41088969, -61333988?\n\"Answer: -119793*u**3 - 2*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85513538?\nAnswer: 2, 11, 59, 65881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 5 - (6 + (-5 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g**2 - 6\/7*g + 4\/7.\nAnswer: 2*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h**4 - 6223900*h**3 - 276679028415*h**2 + 1185874470550*h - 316235089000 = 0. Calculate h.\nAnswer: -88915, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 + 9.3. Let i = -3.09 + u. Which is bigger: 0.4 or i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5612551?\nAnswer: 5612550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 183*z**3 - 1845*z**2 - 3969*z = 0.\nAnswer: -49, -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 1\/63*q**7 + 1\/45*q**6 - q + 1\/3*q**2 - 1\/15*q**5 + 0 - 1\/9*q**4 + 1\/9*q**3. Factor y(r).\nAnswer: 2*(r - 1)**2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (278\/(-1 + 0))\/((-2)\/(-1)). Let b = 168 - n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/((-193)\/(-5404))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -1) + (85 - 96 - (0 + -12))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 10*s**2 - 147*s - 2841. Determine g(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5698, 6412, 7094, 7744, 8362?\nAnswer: 8948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37096577 is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2179*h = -1093*h - 1091*h + 7*g - 16, 4 = -2*h + 2*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(50*63\/1575)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1328502905 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32017887 + -2?\nAnswer: 32017885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6579 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5 = o, 0 = 10*o - 6*o - p + 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2962 * 72.\nAnswer: 213264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3151*w + 59868. What is a(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592071222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3936125 by -5.\nAnswer: -787225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7446*p - 56. Let u be b(14). Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i - 4. Let h(y) = 5*y - 4. Let p(t) = -5*h(t) + 6*l(t). Let k be p(-6). Let q be 200001\/k + 2\/(-4). What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f**3. Let o(u) = u**2 - 5*u + 1. Let s(x) = 6*x**3 - 2*x**2 + x. Let w be s(1). Let p be o(w). Calculate the lowest common multiple of q(p) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6160719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24088 at most as big as 24068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 422\/7 - (-4)\/(-14). Let q(y) = 11*y**2 - 172*y - 58. Let m be q(16). Calculate the greatest common divisor of m and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-29.11.\nAnswer: -378.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (84\/49)\/(8\/(1792\/(-144)))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 270?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -73, 1\/1092989, 1\/2 in increasing order.\nAnswer: -73, 1\/1092989, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 2*f - 1. Let d be y(1). Let q(p) = -2*p - 2. Let k(n) = 1. Suppose 0 = -5*s - 23 + 3. Calculate d*q(g) + s*k(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + 4. Calculate the remainder when 178 is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - 28\/6. Let c(y) = -y**2 - 4*y + 3. Let r be c(f). Are 2 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -13. Let n = h - -9.2. What is the nearest to 0.1 in -5, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 5*p**4 - 3*p + 4*p - 2*p + p**3 + ((-1 + 0 - 1)*(13*p + 7*p - p) + p + 0 + 0 + p - 2*p + 3*p)*(2*p**3 + 14 - 14).\nAnswer: -75*p**4 + p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1. Let s(v) = -5*v + 6. Let t(u) = 3*u**2 - 85*u + 111. Let w be t(27). Give w*l(o) + s(o).\nAnswer: -5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419*l*r**2 - 2667*l*u**3 - r**2*u**2 - 23779*r*u**3 - r*u**2 - 4*r with respect to l.\nAnswer: 419*r**2 - 2667*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + -1c?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -20b5852?\nAnswer: -20b583b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5939 + 948. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 4256197?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18984\/26 - ((-4)\/(-10))\/(39\/15) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.9 + 28.9. Let i be (-2)\/8 - 42\/(-8). Which is the nearest to -0.1? (a) i (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 53.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -4 (c) -9 (d) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14633 rounded to the nearest one hundred?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024290 is divided by 210?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2590, -1502, 1464, 7250, 16798, 31050, 50948?\n\"Answer: 157*r**3 - 3*r**2 - 2*r - 2742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 248, -3, -1, 0, 3.\nAnswer: -283, -3, -1, 0, 3, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -411a (base 11) in base 6?\nAnswer: -41150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 107165736?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 59. Let r = -30 - p. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 6 + 19 = 0. Let x(r) = -r**3 - 5*r**2 - 7*r - 6. Let n be x(-4). Let c(f) = f - 4. Let i be c(n). Sort 3, o, i in increasing order.\nAnswer: o, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21915*n = 22149*n + 12168 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(378))\/sqrt(9) + sqrt(42))\/sqrt(6)*5 - (6*(sqrt(700) + sqrt(700) + 1 + sqrt(700))**2 - (5 + sqrt(700) + (sqrt(700)*1 - sqrt(700)))**2).\nAnswer: -37081 - 250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**12*s**(-18) assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3539530404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -50. Suppose 2*n - w = -d, -5*w - 18 - 4 = -n. Let i = -120 + 120. What is the nearest to n in -1\/2, i, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 times 0.082\nAnswer: -6.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 3)*((-1 + 0 + 3)*(r + r - r) - r + 2*r - 2*r - 7*r - 4*r + 4*r).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.022 times 0.2\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2. Let d(b) be the third derivative of -5*b**4\/24 + 11*b**2. Determine d(i(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 22. Let k = -33.1 - b. What is the closest to 2 in -6, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 + 27372*b\/13 + 93653298\/13.\nAnswer: 2*(b + 6843)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -460 - -456. Which is the nearest to 0? (a) -1 (b) -7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 3*v**2 - 2*v + 2. Let l(u) = 3*u + 15. Let h = 28 + -32. Let a be l(h). What is the units digit of i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**6\/120 - r**4\/12 - 9*r. Let w(j) be the third derivative of p(j). Let u(d) = -d**2. Determine u(w(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**3 + 90*t**3 - 28*t**3 + 53*t**3.\nAnswer: 139*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3703 divide 502804449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372568 and 72408?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9))**(-9)\/(h**(1\/7)\/(h**(4\/5)\/h)) assuming h is positive.\nAnswer: h**(-397\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -121, -106, -71, -10?\n\"Answer: w**3 + w**2 - 9*w - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76357 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-32))\/((-22)\/24).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 5:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 2. Let m(u) = -3*u**2 - u + 2. Let a(h) = -3*m(h) + 4*x(h). Let w be a(-2). Factor 0*d - 2*d**4 + w*d**2 + 10\/7*d**5 + 0 + 4\/7*d**3.\nAnswer: 2*d**3*(d - 1)*(5*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.061 - 34.061. Let z = k - -34.0000042. Round z to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554473203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -756\/13?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2)\/((10\/2)\/5). Let f = 42 - a. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7299, -6986, -6657, -6300, -5903, -5454?\nAnswer: -4941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + 3 + -9 + 2 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let a(q) = -21860*q. Determine x(a(r)).\nAnswer: -477859600*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 6*y + 14. What is the highest common divisor of y and 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {s: 4, q: 2, d: 6, f: 1, v: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 11)*1 - 1. Let q(k) = -2*k**2 - 6*k + 5. Calculate q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/2 - 243*d**2 - 1668531*d\/2 - 3333142 = 0.\nAnswer: -1069, -4, 1559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.623 + 0.077. Let x = u + -12.1. Let k = -8.6 - x. Which is the second smallest value? (a) k (b) -0.1 (c) 0.16 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 152. Suppose -y = -4*k - o - 0, 97 = 4*y - 5*k. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u + 4*u + (-2 + 2 + 3*u)*(0 - 2 + 0))*(2*u + 4*u - 4*u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157039, 157040, 157041, 157042, 157043?\nAnswer: 157044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 19*v**2 + 95*v - 30. What is the remainder when 369 is divided by b(13)?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/6 - (-60)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 - 70.23169.\nAnswer: -71.93169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 104*y**2 + 3*y + 2. Let x(r) = 2*r - 21. Let t be x(9). Is w(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.4090008 and -0.4.\nAnswer: 4.16360032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (265\/(-4225))\/(4\/(-12)). Let i = q - -2\/169. Is i smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -32. What is the third derivative of 5*f**2 - g*f**5 + 2*f**2 + 15*f**5 wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -0.4, -1\/29?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 13*t - 11. Let d be b(14). Solve 6*h**d - 2*h**4 + 70*h - 70*h - 4*h**2 = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 5*t - 4*t. Let z = -51 + t. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzvzzzz.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.732 - 0.922. What is the biggest value in 0.1, s, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13305, 26636, 39967, 53298, 66629, 79960?\nAnswer: 93291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f**2 - 221*f - 896. Determine u(-11).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 5)*(0 - -20). Suppose -3*o + 5*o - b = 0. Suppose 0*u = -5*u + o. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 + 9 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 230, 524, 926, 1430, 2030, 2720?\nAnswer: 3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 29*p**2 - 4*p - 4. Let n be u(-2). Suppose 2*i = -4*i + n. Suppose 0 = 4*j - j, 3*f + 4*j = 6. What is the smallest common multiple of f and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**4*q - 3*l**4 + 3401*l**3 - 3*l*q + l + 79*q + 1 wrt l.\nAnswer: 72*l**2*q - 36*l**2 + 20406*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 2\/15 (c) -4 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 13, x: 1}. What is prob of picking 1 h, 1 x, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2161312 and -157\/53492472?\nAnswer: 213969888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*2\/(-18)*6\/(-14). Let u = 0.6 + 4.4. What is the closest to o in -4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254514*s**4 + 765780*s**2?\nAnswer: 6108336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37799?\nAnswer: 37799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/6)\/(2\/(-3)). Let f = r + -5. Let y = 14 + f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -546, 1, 5, -4.\nAnswer: -546, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163780.3 months in decades?\nAnswer: 18031.5025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 28 = -g, 21*g - 30 = -3*q + 18*g for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*h - 4*h + 2*h)*(-2 + 1 + 2) + 3*h - 5*h + h)*(-2*h**2 + 6*h**2 - 2*h**2) in the form j + m*h + u*h**2 + y*h**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -2403041?\nAnswer: -2403042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/198 and -1\/20906?\nAnswer: 2069694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5 - 1568*n**4 + 15443*n**3 - 691878*n**2 - 3*n - 1 wrt n?\nAnswer: 120*n**2 - 37632*n + 92658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -15 + (-4 - 6) - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 362*h**3 + 30897*h**2 + 338148*h + 726516 = 0. Calculate h.\nAnswer: -7, -3, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62588 rounded to 2 decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033303 (base 4) to base 12.\nAnswer: 53ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (368\/136)\/(13*122\/13481)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + (0 - -1) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284*r**5 + 328*r**2 wrt r?\nAnswer: -17040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 1 = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -1\/2*z + 1\/8*z**2 - 4 = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 15*l**2 + 5*l + 8. Let i be 4\/7 - 1240\/(-35). Suppose -k - i = 5*z + 4, z - 18 = 5*k. Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 4824505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 204500810 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: Suppose 230 = 4*x - 238. Calculate the remainder when x is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19165865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.5 (c) -2\/83 (d) -3 (e) -59 (f) 33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 0 + -3 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 50*c**2 + 574*c - 4. Let r(k) = -2*k. Calculate r(x(g)).\nAnswer: -100*g**2 - 1148*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 19*t**2 - 5. Let h(b) = b**2 + 154*b. Determine h(d(l)).\nAnswer: 361*l**4 + 2736*l**2 - 745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/22)\/(57\/(-95))*4\/(-9).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 + 2 + 0*n**3 + 3*n**2 - 2*n**3 + 2*n**3 as m + z*n**4 + b*n**3 + p*n + v*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4649 - -4648.9980328. What is w rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5697718.\nAnswer: 2, 13, 219143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750509.\nAnswer: 3, 67, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t - 43. Let s be m(-9). Suppose 0*n = v + n + 2, -2*v = -5*n - 24. What is the second derivative of 4*b - 10*b**v - 2*b**s - 14*b wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9696 centimeters in micrometers?\nAnswer: 79696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -23. Let a be (-1)\/x*-8 + 7. Factor s**3 - 25*s**2 - a*s**3 + 29*s**2 - 2*s.\nAnswer: -2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sussssuuussssshhsus. Give prob of sequence sus.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:51 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -495 and 2.9.\nAnswer: -492.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (11 + (-27 - -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 equal to -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 3*a - 5*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from {m: 6, k: 2, r: 1, a: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**3 + 17*o**2 + 7*o - 5. Let d(l) be the second derivative of -l**5\/4 + 2*l**4\/3 + 2*l**3\/3 - 3*l**2\/2 + 72*l - 2. Calculate -5*d(w) + 3*v(w).\nAnswer: -2*w**3 + 11*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -93\/2 (b) 3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 + 2. Let f be m(-4). Suppose f = q - 3*a, -q + 3*a - a = 0. Let r = q + 7. Solve 0*n = 3*d - r*n - 15, 0 = -4*d + n + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q**2 + 1279. Let m(g) = 17*g. Calculate m(c(k)).\nAnswer: -357*k**2 + 21743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - sqrt(171)*1*-5)*-5)\/(sqrt(36)\/(-2*sqrt(324))))**2.\nAnswer: 5540400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 648 + -415. What is i rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975245595 to the power of 1\/3, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*p + 11, -2*p - 5*m = -p - 8. Suppose -2*a + p*j = 5, -a + 3 - 7 = -j. Let w = a + 4. Is w equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 515*b**2 + 19*b + 2. What is the tens digit of f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*q**3 + 19*q**2 - 12999.\nAnswer: 123*q**2 + 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -173467 (base 8) in base 15?\nAnswer: -13b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39302.1 and -912?\nAnswer: -35843515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**2 - 9*l + 19. Let x = -36 + -14. Let c be (x + -2)*5\/(-20). Let m(h) = -7*h**2 + 4*h - 9. Calculate c*m(k) + 6*p(k).\nAnswer: -k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) -434 (c) -17439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-6)*l*l)*l*l**9\/l)\/((l\/l**8)\/l**(-8\/5))*(l\/((l*l**(-2\/25))\/l)*l*l\/(l*l**(5\/4)\/l))\/((l\/(l*l**(1\/2)))\/(l**(-3\/11)*l)) assuming l is positive.\nAnswer: l**(23603\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g - 3074 = 53*g. Sort -45, 5, g in increasing order.\nAnswer: -45, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f + 12. Let w = f - -4. Suppose w*x = -3*x - 3*t + 15, 2*x - 10 = -5*t. What is the highest common factor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 100*k**2 + 1335*k + 12640. Calculate h(-111).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179.5 - -177.5. Which is the second smallest value? (a) 0.1 (b) z (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 80*a + 397. Let m be q(75). Calculate the greatest common divisor of m and 2354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*d + 0 - 1\/5*d**5 + 0*d**3 + 2\/5*d**4 - 2\/5*d**2 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1187*y**3 + 31*y**2 - 31*y wrt y?\nAnswer: 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/3 + 4\/6. Let x = c + 11. Let j = -489 - -24941\/51. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/(-180))\/8*3\/(-4)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405520 and 1880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56258, -224854, -505828, -899180, -1404910?\nAnswer: -2023018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 474*l**2 - 6*l + 940. What is t(158)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 34.000004. What is f rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 2. Let w be (12\/15)\/(2\/10). Is 2 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 458300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 + 1263*s**3 - 17455*s**2 - 38703*s - 19984 = 0. What is s?\nAnswer: -1, 16, 1249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523\/9 - (-28)\/(-126).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c + 12 = -5*z, 0 = c - 3*z - 8. Let f = -4 - -4. Solve f = 5*h - c*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 48 = -0*d - 5*b, -4*b + 12 = 0. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*j + 22*j + 153*j)*(2*j + 2*j - 6*j)*(0 + 0 - j).\nAnswer: 256*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-33))\/((-4)\/(-30)). Solve r*n + 0*n = -2*q + 10, q - 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5836.54 to the nearest ten.\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33171479, 66342960, 99514441?\nAnswer: 132685922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 262, 25, -1, 5, 3 in decreasing order.\nAnswer: 262, 34, 25, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*y**6 - 6*y**4 + y**2 - 40 wrt y?\nAnswer: -3600*y**3 - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 4783.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 - 77 = -5*h - 5*t, 43 = -3*h + 5*t. Let l = h + 29. Suppose 24 = l*g - 5*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442157333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*p - 809*p - 32*p - 32460 = -259*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233434233 + 10?\nAnswer: 1233434243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 a when three letters picked without replacement from maaaaamaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6991.511658 + -43.\nAnswer: 6948.511658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*j - 14*j - 7840 = 0. Let b be (0 - (1 + 56))*(-2)\/6. Suppose -b = -i + j. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-792)\/(-399) - 2). Let m = 13 - d. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 58185.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5295*d - 1785*d = -6307*d + 1079870 for d.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15590, -15772, -16064, -16466, -16978?\n\"Answer: -55*r**2 - 17*r - 15518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**4 - 3*d**4 - d**4 + (-d**3 + 0*d + 0*d)*(-46*d + 58*d + 61*d) as q + x*d**4 + c*d + z*d**2 + m*d**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9. Suppose 5*t + 7 + 3 = q. Which is the closest to -3\/4? (a) 5 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -211\/8, -1, -2\/7, 4 in decreasing order.\nAnswer: 4, -2\/7, -1, -2, -211\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37211274*d**2 - 3*d**3 - 37211274*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/39 + 24*q**2\/13 + 288*q\/13 - 2182. Determine j, given that z(j) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2418 - 2437 - (-30 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6140 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 55*i - 31*i + 15 - 24*i. Let j(n) = 2*n. Calculate j(x(l)).\nAnswer: 4*l**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 6\/13 (c) 12 (d) -0.4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.2, -9, 0.11, 429?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119724 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 31942560.\nAnswer: 31942560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/2 - 43*w**2\/2 - 43*w - 12.\nAnswer: -(w + 2)*(w + 12)*(3*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -3, 0.6 in decreasing order.\nAnswer: 0.6, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 223326, 223325, 223324, 223323, 223322, 223321?\n\"Answer: -u + 223327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.84456 litres to millilitres.\nAnswer: 64844.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 1, 19 in decreasing order.\nAnswer: 19, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*646661.\nAnswer: -27806423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/36 + (-82)\/(-3). Let q = -28 + j. Suppose 0*v - 4*v + 1004 = q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.73585.\nAnswer: -0.14717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -9. Let p be (m\/(-5) + 1)*5. Find the first derivative of 0 + 0 - 1 + n**p wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w + 1. Suppose 0 = -o - 0*z + 5*z + 2, 4*o - 8 = -2*z. Let k be i(o). Which is the closest to -1? (a) k (b) -1\/2 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3004452 - 2757436 = -285*g + 967817. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/62894, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2038 - -8521. List the prime factors of n.\nAnswer: 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**3 - 5*y**2 + 6*y. Let z(f) = -f**2 - 5*f + 1. Let r be z(-6). Let j(k) = -6*k**3 + 4*k**2 - 5*k. Give r*j(a) - 4*s(a).\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 14*f**2 + 6. Calculate the remainder when v(14) is divided by ((-8)\/10)\/(8\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36.1 - -37. Let u = x - 0.5. Let g = 207.5 - 207. What is the second biggest value in 0.11, 0.3, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 4*f - 33 = -11*t, 2*f = t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)*v**(-4)*v**(-23)\/v**(9\/2) assuming v is positive.\nAnswer: v**(-193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.12507484763722+0.3\nAnswer: 0.17492515236278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*z**3 + z**2 - z**4 + 570 + 4*z - 285 - 286 to the form x*z + p*z**3 + n + y*z**2 + o*z**4 and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(((-10)\/88)\/(-5)) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 33*j**3 + 23 - 40 - 84*j**3 - 40*j + 14.\nAnswer: -51*j**3 - 40*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167586627 or -167586626?\nAnswer: -167586627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 12*t + 222. Let o = t + 42. Suppose o*r - 221 = 179. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n + 5. Let v(d) = -10703*d**2. Give f(v(m)).\nAnswer: -139139*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.583 minus -0.3?\nAnswer: -5.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 + a**3 - 11*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m + 134. Determine o(24).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + p + 2. Let i(k) = 3*k**2 - 2*k + k**2 + 1 - 5. Suppose 16*x - 11 = 15*x. What is x*a(m) + 6*i(m)?\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - (-4)\/2. Let p be 1 + -7 + 6 + -3 + -1. Let o be (-2 + 1)*(4\/p - -1). Solve h*b - v + 5 + 6 = o, -2*v - 5 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 84 = -0*b. Let g = 36 + b. List the prime factors of (-2)\/g - (-2)\/(16\/1090).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 176 (b) 8351 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 5*o**2 - 4*o + 2. Let i be a(-4). Suppose 0*k = -2*k + i. Solve 0 = y - 3 + k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111010011010010011 (base 2) in base 16?\nAnswer: -ba693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1601, -1626, -1687, -1790, -1941, -2146, -2411, -2742?\n\"Answer: -k**3 - 12*k**2 + 18*k - 1606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.7100874\nAnswer: -1.1100874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2486 (b) -2 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687385174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85055, 84944, 84833, 84722?\nAnswer: 84611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 + 5 + -2. What is the second derivative of 5*j**3 - 2*j**3 - n*j**3 + 3*j wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 + o + 2. Let c be r(3). Put c, -10, -1 in decreasing order.\nAnswer: -1, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 11. Let u(q) = -1. Let w(f) = -c(f) + 5*u(f). Let p be w(-5). Put p, -2, 5, 0 in descending order.\nAnswer: 5, p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12247*a**2*k**3 - 330*a**2 - 2*k wrt k.\nAnswer: 73482*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5528 - -0.2\nAnswer: 5528.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -8) + -47 + 58. Let a be x\/(-24)*(-984)\/63. Which is bigger: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 - (384\/28)\/(-8). Solve 3*b - 2 = i*j - 4, -5*b + 2 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, k: 8, x: 2}. What is prob of picking 1 x and 1 k?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2637 + 2640. What is the nearest to 1\/2 in d, 6, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 1\/(((-2)\/(-3))\/(1430\/33)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11515455 (base 9) in base 14?\nAnswer: a64295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3\/2 - 270051*f**2\/2 - 540120*f - 540126 = 0. What is f?\nAnswer: -2, 90021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/(-204)*(2\/4)\/(25\/(-110))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l - 118. Let y be o(10). Let f(w) be the second derivative of 0 + 1\/4*w**y - 7*w - 1\/80*w**5 + 1\/8*w**3 + 0*w**4. Factor f(i).\nAnswer: -(i - 2)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*3 + ((-2090)\/(-50))\/11. Factor -6\/5*s**2 + 2\/5 - j*s**3 + 0*s.\nAnswer: -2*(s + 1)**2*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 137, -0.3, 1\/2, 10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 26.83. Let o = z + 0.03. Let i = 3475.97 + -3476. What is the closest to -1 in o, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 79 in increasing order.\nAnswer: -1, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 19887.\nAnswer: 29\/6629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*x + 462 - 117, -h = 4*x - 291. Let t = x + -186. Let c = -62 - t. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26127491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1590240 and 6626?\nAnswer: 1590240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199249?\nAnswer: 23, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 - 34*k**3 + 48*k**3 + 3*k**3.\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 2, k: 1}. What is prob of picking 1 k and 2 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 37*n - 73 - 2*n - 2*n - 3*n + (n - 4*n + n)*(3 - 4 - 1))*(-4 + 3 - 8).\nAnswer: -306*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -37*t - 34*t + 88*t + 3. Let x be f(1). Solve -m - 3*y + x = 0, -m - 2*y + 25 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/2*(-3)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1000? (a) 1 (b) 5 (c) -4 (d) 0.5 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5133041 (base 10) in base 13?\nAnswer: -10a9504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*l + 256*l + 118110 = 78*l + 587*l for l.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*d**2 - 2*d - 22*d**4 - 5*d**2 + 12*d**4 + 5*d**2 - 2*d**3 - 4 as y*d + a*d**4 + h*d**3 + t + w*d**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 70*i - 264. What is q(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15259 or -15369?\nAnswer: -15369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + -5 + (432 - 442).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163651, 163650, 163649, 163648, 163647?\nAnswer: 163646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44550477 - 142806.1?\nAnswer: -44693283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 - a + 10. Give x(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635637717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + l - 2)*(3 - 3 + 2*l)*(3*l - 4*l + 3*l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2217 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 0*t - 1\/165*t**5 + 0*t**3 + 1\/132*t**4 + 0 + 1\/660*t**6 - 17*t**2. Determine o, given that g(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m - 7. Suppose 3*s + 1 = -5*w, -2*w = 1 + 9. Let k(v) = 11*v + 10. Let x(z) = s*r(z) + 5*k(z). Give x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4))\/(6\/12*4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*u - 15864 + 15975 - 110*u + 4*u**3 + 54*u as p + z*u + k*u**2 + s*u**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 2)*(1 - 1 - 3)*(-6*g**2 + g**2 + 2*g**2)*(2*g**2 + 38*g**2 + 6*g**2) to the form b*g + w*g**2 + c + j*g**3 + p*g**4 and give p.\nAnswer: -2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10816 - 0.0102269.\nAnswer: 10815.9897731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f**2 + 12*f - 12*f)*(-6*f + 4*f + f).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/154*308\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*i + 8 = -493*i, -7*i = 4*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14*j - 3. What is n(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 832 and 403?\nAnswer: 25792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/93)\/a))\/(a*a*a**(-24\/11)*a))**(-15\/4) assuming a is positive.\nAnswer: a**(-5935\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbxxxx. Give prob of sequence xbb.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 5*p + 2. What are the prime factors of b(-9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (-151 - -102) + (-2 - 1) + 7 + -10\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 75971*h**2 - 151921*h**2 + 75988*h**2 + 53*h as c*h**2 + s*h + q and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/210 - (43\/15 + 1). Let i be (-26)\/22 - t\/22. Calculate the common denominator of ((-490)\/(-20))\/(6\/4 - i) and 113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1067 and 2425?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 divided by 58?\nAnswer: -453\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*r - 2, 4*z + 2*r + 5 = 7*r. Suppose 0 = 5*l - 3*x - 70, 4*x - x = z. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-3)\/(-16674))\/((-16 + 9)\/(-7)). Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 33982.311.\nAnswer: 33996.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/2 - (-95)\/(-15). Factor -m*d**2 + 8\/9*d - 2\/9.\nAnswer: -2*(d - 1)*(3*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + 3*q**4\/8 - 4*q**3\/3 + 2*q**2. Suppose -279351 = -29*n - 279641. Determine r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 17704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 83*w**2 - 54)*(3 + 40 + 4).\nAnswer: 3901*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 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: Expand u**3 - 8 + 8 + (0*u + 4*u - u)*(3 - 2 + 0)*(-4*u**2 + 18*u**2 - 9*u**2).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 4, 26, 1, -2044 in descending order.\nAnswer: 26, 4, 1, 0, -4, -2044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1175*h + 13 = -1174*h. What is the remainder when 30 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -1, 5, 4, 221 in descending order.\nAnswer: 221, 9, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13329, 29728, 46127, 62526, 78925?\n\"Answer: 16399*d - 3070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 11) + -2 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/7 + 34308*b\/7 + 14901920\/7 = 0.\nAnswer: -33868, -440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from bwyyyywav.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)*-1 + -5 + 5).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 789637 divided by 4\nAnswer: 789637\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1841*c - 1643. List the prime factors of s(-10).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/545 - 1046\/5995. Put -10, -1\/4, 3, y in ascending order.\nAnswer: -10, -1\/4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904034654.\nAnswer: 2, 107, 4224461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-880)\/12)\/((-200)\/720). Calculate the highest common divisor of 165 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 times -303?\nAnswer: -50298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -21. Differentiate -15 - 2*c**4 + 9 + a wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33633\/1515 - -4*1\/5. Solve 5*t + 12 = x*z - 19*z, 5*z = t - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 3*p**2 - 6*p - 2. Let c(a) = -23*a**3 + 17*a**2 + 35*a + 12. Let g(r) = -6*c(r) - 34*z(r). Factor g(f).\nAnswer: 2*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 20. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10262237785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -2\/7 (c) 0.4 (d) 20.1 (e) -0.2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 1 - 9 - t**2 + 8 to m + d*t + v*t**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -412\/3 (b) -2 (c) -44 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(-4*(sqrt(7) + sqrt(7)*-2)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 4. Suppose 3*q = -q + 16. Let l be y(q). Is 2 - l - (1 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1005 - -1024. Suppose k*a - 4*o = 24*a - 26, -3*a - 3*o = -18. Determine j, given that -55\/2*j + 14*j**a - 3\/2*j**3 - 25 = 0.\nAnswer: -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -176*o**2 + 13557*o - 329. Calculate p(77).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**4 - 89*f**3 + 10*f**2 + 756*f + 688. Let z(m) = 3*m**4 - 30*m**3 + 3*m**2 + 252*m + 231. Let x(p) = -3*w(p) + 8*z(p). Factor x(d).\nAnswer: -3*(d - 6)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 9867550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6626818 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Let w be a(-7). Suppose x + 3*g - 2 = 0, w*x + 2*g = x. Let y = -1 - x. Put 0, y, -2 in descending order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(6\/(-27) + 80\/(-45)). Let f(y) = -y**3 - 7*y**2 + 5. Let o be f(w). Suppose 0 = 3*l - 6, o*t - 3*l + 0*l - 289 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 84.9999953. What is b rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {r: 10, b: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 411.1779 minutes?\nAnswer: 24670674000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28656 + 9211. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*l**2*q + 6407*l*q**3 - 2*l*q**2 + 891140*q**3 wrt l?\nAnswer: 66*l*q + 6407*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.47? (a) 4 (b) 16 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 10*r - 114. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 652 + -630. Calculate the remainder when 98 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - 124\/(-6). Is 7 a factor of q\/(-2)*10\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -18*q + 22*q + 5*j, 5*q + 3*j = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.715 * -52.\nAnswer: 349.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-12))\/((-4)\/(-16))*3. Suppose -64 = -w - m*w. Let x(j) = j**2 - 11*j. What is the tens digit of x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4329?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -23 (c) -101177 (d) 0.02 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0373 + 9.0973. Let j = w - 9. Let h = 0.0599988 - j. What is h rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 114*i - 3816. Determine k(-22).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1653)\/(-1976) - 12\/26) + 1045\/8. Solve -c*r = t - 127*r + 8, 0 = r + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1\/((-22)\/48). Let i = -554 - -555. Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2)\/(-4)*-1)*(-198)\/621*-138?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -26, -66, -132, -230, -366, -546, -776?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-114)\/1140)\/((-2)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, s: 3, z: 1, d: 1}. What is prob of picking 1 s and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2689, -1\/5, -4 in increasing order.\nAnswer: -2689, -4, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325151 is divided by 147212.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3799439 is divided by 279.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 0.5 (c) -10 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64006564*k**6 - 67*k**2 + 3010257.\nAnswer: -7680787680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13915 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: Suppose -11 = -w - 3*a, -4*a + 6 + 8 = w. Let i = -1 - -1. Factor -2*d**2 + 0*d + w*d + i*d + 0*d.\nAnswer: -2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - -0.22. Let w = r - 0.27. Which is bigger: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29999 + -8745. Let d = c + -4757. Suppose 2*f = -5*p + 27498, -3*p = -f + 4*f - d. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16897984 to the nearest 10000.\nAnswer: -16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2291*x - 8 + 2289*x - 4583*x. Suppose -40 = 3*d + 2*d. Let i be a(d). Solve -f = -o - 4*o + 16, 0 = 2*o + 2*f - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 36*q - 20 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43666 divided by -13\nAnswer: -43666\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - c = 922, -5*y + c = -284 - 869. Suppose y*u = 228*u + 39. Calculate the highest common divisor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(8\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/16)*h\/h**(-1\/5))**43)**(-10\/9))**(3\/28) assuming h is positive.\nAnswer: h**(-559\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105711 is divided by 212.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 6. Let a be j(-8). What is the units digit of a + 3 - (4 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 0)*(-1 + 1 - 2*p)*(-2*p**3 + 6*p**3 + 9*p**3) to the form a*p**3 + h + m*p**4 + y*p**2 + s*p and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 159?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 452.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0366 - 170.9634. Let y = k + 173. Let z be 2\/9 + (-140)\/144. What is the nearest to y in z, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 56427426.\nAnswer: 56427422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 2*v + 640. What are the prime factors of b(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 13 + 8*g - 3*g)*(2 + 5*g - 2) to l*g + k*g**2 + j and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3068 and 107\/6.\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-3))\/((-5)\/20). Let u be (-2)\/(j + 21\/6). Let c be ((-5)\/(-35))\/(4\/28). Sort u, c, -5, 8 in ascending order.\nAnswer: -5, c, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 + 333. Let p = w - 129.9495. What is p rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -2. Let u(o) = -o**3 + 3*o**2 - 3*o - 3. Let l be u(3). Is (-8)\/l + (-398)\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3812 and -0.14.\nAnswer: 533.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 19. Let u be d(8). Let j be (-243098)\/u - 8\/(-44). Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150*0.4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 4:42 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*d**3 - d**2 + 3 + d**2 in the form i*d + y + j*d**3 + m*d**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -29.99999606. Round y to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 10317.47ug?\nAnswer: 10317470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 944 = -r, 3*r + 3*c = -0*c - 2832. Let b = -13289\/14 - r. Let k = -24469\/6 + 4070. Find the common denominator of k and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 43. Let b = l - -48. Solve 2*c - 7 = -b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 852.78 and -3?\nAnswer: -2558.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -37. Let p = 29.5 + -29. What is the nearest to y in 5, p, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Let s = -5 - -5. What is the remainder when 1*4 + -1 + -1 is divided by o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Suppose 5*h = r - 5*r + 119, 3*h - r - 68 = 0. Suppose n - 4*n = 2*s - 2, -2*n = -3*s - h. Let b(w) = -4*w + n*w + 5*w**2. Calculate j(b(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuputpdtpuudppxtpbb. What is prob of sequence ux?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -1217*v**4\/2 + 9287*v**2\/2 - 4724*v. What is the first derivative of k(f) wrt f?\nAnswer: -14604*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1321*v**2 + 1320*v**2 - 2637*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 239 + 3*p + 525 to the form t + u*p and give t.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 34720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3 + 3)*(0*f + 0*f - 2*f**2) + 0*f**2 - 839603*f**3 + 839579*f**3 + 0*f**2 + 219*f.\nAnswer: -22*f**3 + 219*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*i + 313*i = 63 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 26325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a factor of 250564116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(sqrt(1584)*2 + -4))**2.\nAnswer: -7776*sqrt(11) + 228825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 0*o + o)*(376*o - 195*o - 102*o + (3 - 3 + o)*(-3 + 2 - 1))*(17*o + 0*o**2 + o**2 - 3*o**2) as v*o + n*o**3 + b + f*o**2 + h*o**4 and give h.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - -651?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2907, -2900, -2893, -2886, -2879?\nAnswer: -2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 36*u - 17*u + u**3 - 18*u. Suppose 5*w = 2*x - 58, 2*w - 4*x = -3*w - 66. Let n(f) = -4*f**3 - 4*f**2 - 4*f. Give w*a(p) - 3*n(p).\nAnswer: 2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = 2*m, -2*z = -0*m - 3*m - 1. Let j = -6 + 8. Suppose -j*s - 1 = -3*b, -2*s + 0*s + 23 = 5*b. Solve -q + s = m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**6*s)\/s)\/(s\/s**(-4))*(s*s\/(s**0*s))**(3\/17) assuming s is positive.\nAnswer: s**(-167\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.988291 rounded to 2 dps?\nAnswer: 23.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*l + 152*l = -3 + 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-8)*(-8)\/5. Let s(i) = -i. Let a(y) = -y. Let t(w) = -7*a(w) + 4*s(w). Let q(z) = -2*z. Calculate n*t(o) - 7*q(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 87. Let n be g(-27). Suppose 3*x = 9, -h - 3*x + 387 = -n*x. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82071 divided by -2.\nAnswer: -82071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/7532 and 91\/1076?\nAnswer: 7532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 1, 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -196?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uas when three letters picked without replacement from ausyasassayquasasu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-89)\/90 + (14 - 13). Let q(p) be the third derivative of -1\/630*p**7 - 1\/36*p**4 - 1\/36*p**5 - w*p**6 - 7*p**2 + 0*p**3 + 0 + 0*p. Factor q(l).\nAnswer: -l*(l + 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/23*1*(-2)\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -847450 rounded to the nearest ten thousand?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30308 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tfffttffffttfttttttf?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 3. Let s be (2 + -2 + 0)*1. Suppose m*y - 14 - 2 = s, 16 = 4*f + 2*y. Solve -f*d - 3*d = -15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 73. Let h be j(-34). Solve 2*f = -c + 2*c - h, -5*c + 10 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2084503255 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + sqrt(4)*-2) + -4 - (sqrt(847)*-2 + 5).\nAnswer: -9 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 + 177*i + 6572 = 0.\nAnswer: -124, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -781 - -803. Calculate the remainder when 169 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -1, 2, -5.\nAnswer: -5, -7\/3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let q be k(0). Let n(t) = t**3 - 4*t**2 + 4*t - 3. Let r be n(2). Put r, -4, q in descending order.\nAnswer: q, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17368 divided by 167.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 9. Let h(q) = q**3 + 4*q**2 - 5*q + 2. Let i be h(f). Suppose i*d + d - 327 = 0. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*s**3 + 4*s**2 + 16*s - 12*s**2 + 12 + 10*s**3 + 11*s**2.\nAnswer: -(s - 6)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.519899 rounded to 1 dp?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25499.49582 - 25499. Round h to 2 decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 6\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/35 + (-2)\/7. Suppose -21 = d + j, 3*j + 42 = -5*d - 63. Let g be (6 - -1)*6\/d. Which is the nearest to g? (a) l (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*t + 40, 2*t - t + 2*c = -10. What is the second smallest value in -1\/6, t, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 51*u**2. Let y(r) = -101*r**2. Let q(g) = 5*n(g) + 2*y(g). Let x(h) = 2*h**2. Calculate q(x(c)).\nAnswer: 212*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 6981*a**2\/4 + a\/4 + 6981\/4.\nAnswer: -(a - 1)*(a + 1)*(a + 6981)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840 divided by 6?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -10. Let k be -12*(0 - 19\/n). Suppose -8*z + 5*z = -k. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1818)\/(-45) - (-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9105918 by -85.\nAnswer: -9105918\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 96*g - 42239 = 472*g - 7262 for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-20)\/(-8)*2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-1)*24\/(-64)*4. Let k(m) = -3*m. Let f(y) = -9*y. What is x*f(o) - 21*k(o)?\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 497300 != 497299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/112 + -811\/1904. Let w = -0.249 - 3.751. Which is the second smallest value? (a) w (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -2*u - 493. Solve u*x = 5*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145476 rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36986?\nAnswer: 2, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 68\/89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 18*x + 3806. Let s = x - -3477. What are the prime factors of s?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 202591852, 202591851, 202591850?\n\"Answer: -k + 202591853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15906 and 3927?\nAnswer: 1892814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3848*g + 2*g**2 + 1289*g + 1304*g + 1292*g - 13 + 1 in the form n*g**2 + r*g + y and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 38 = -42. Solve -y + m - 1 = 0, p*y - 6 = 6*y - 3*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -4305?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t + 4\/5*t**5 - 11\/2*t**2 - 13 + 0*t**4 + 0*t**3. What is the second derivative of d(j) wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42454.132 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:10 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i - 20. Let k be w(6). Suppose 0 = -l + 5*c - 22, -4*l = -k*c + 2 + 6. Solve -l = 2*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*t + 28 = 2*r, -20 = -3*r - t. Let m be -4 - r\/12*12. Let o = m - -18. What is the lowest common multiple of 22 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92136 and 276408.\nAnswer: 276408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2517105 is divided by 839029.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 273530 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: List the prime factors of 13280.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i. Let t(f) be the second derivative of 0*f**3 + 0*f**2 + f - 13\/4*f**4 - 5. Give l(t(m)).\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2 - (-6 + 0). Suppose 2*v - 27 = -l*y - 0*y, 0 = -5*v - 20. Suppose 2*z - 9 = y. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 553962926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10730 divided by 185\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2280 divided by 570\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 0, -1, 1558.\nAnswer: -1, 0, 1, 9, 1558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (15 + -4 + -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 6 + 2 + 0*c - 2*c + 2*c**2. Determine m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*s = -4, 2*u - s = -u + 7. Let c be 2 - -5 - (4 + -2). What is the second derivative of -3*b + b - u*b + b**c + b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 45*h + 4. Let b(y) = -3*y**2 + 89*y - 7. Determine -4*b(n) - 7*q(n).\nAnswer: -2*n**2 - 41*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 144*m**2 - 5. Let l(s) = s**2 - s + 1. Give -3*l(f) - y(f).\nAnswer: -147*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Let v be (10 - 12\/3)\/f. Suppose 66 - 6 = v*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from dkvvvtppdd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {k: 7, w: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 5*a - 22 = 0, g + 3*a = 12. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**3 + 33*b**2 + 62*b - 1. Give f(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 111 - 410 + 52 + 3*t**2 - 2*t**3.\nAnswer: -2*t**3 + 3*t**2 - 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 0.32?\nAnswer: -9.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -185136 + 98?\nAnswer: -18506b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90.58724l?\nAnswer: 90587.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -2*-4*sqrt(133))\/sqrt(7).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 33, -1, 414, -6, -2 in increasing order.\nAnswer: -69, -6, -2, -1, 33, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)*x*x\/(x**(-7)*x))\/((x*x*x**(1\/7))\/(x*x**14)) assuming x is positive.\nAnswer: x**(1328\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3107, -5268, -7429, -9590?\nAnswer: -11751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let d(i) = -i + 2. What is d(m) + 6*p(m)?\nAnswer: -7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 - (-11)\/2. Let s be (-2033)\/(-133) - (c\/7)\/3. Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9576, -38296, -86162, -153174?\nAnswer: -239332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - i. Let s(h) be the first derivative of -2*h**3\/3 - 47. Give s(l(r)).\nAnswer: -32*r**4 + 16*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27704283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 3)*(z - z - 8*z)*(3 + 2*z - 9 - z) - 7*z**2 + 3*z**2 + 0*z**2 to t + x*z**2 + v*z and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*(-6)\/4)\/(-1). Let p = 19514 - 19511. What is the biggest value in p, 2\/25, x, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4150 is divided by 3473?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**3 - 11*t**2 + 11*t**2 + (-439 - 717 - 125)*(0*t**3 - 3*t**3 + 4*t**3).\nAnswer: -1288*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3454264 - -42?\nAnswer: -3454222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/3 - 356*n**2\/3 + 740*n\/3 + 364.\nAnswer: -4*(n - 3)*(n + 1)*(n + 91)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 62*k + 437. Let s be a(-54). Solve 4*t - 4 = 0, 0*n - 4*n - 17 = -s*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531979.9 millilitres in litres?\nAnswer: 531.9799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 29*r - 131. Let m be v(33). Let j = 15 - 23. Let z = j - -9. What is the nearest to z in 3, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 162.2 (b) -85 (c) 167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 66 = -5*s, -27*s + 32*s - 3*r = 58. Solve -3*z + 4 = -4*p, -4*z + 4*p = 3*p - s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -5*f + 7*j + 210, 0 = -j. What is the highest common factor of 168 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 75*m + 1478. Calculate the remainder when r(-34) is divided by 58.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/385)\/((-15)\/(-42))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -25, -2*v = 5*y - 4*y - 13. Suppose -235 = -v*r - r. Calculate the remainder when r is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*g + 3 + 13, 3*n + 15 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -3)*2\/6*-1. Solve 2*d + 12 = -f*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8594.52 and -31.\nAnswer: -266430.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.4726 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 13*o**3 - 9 - 4.\nAnswer: 7*o**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 335*v**2 + 315*v - 20.\nAnswer: 5*(v + 1)*(67*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 11*w + 11. Let n(c) = 2*c**2 + 6*c + 6. Let x(q) = -11*n(q) + 6*z(q). Let f(p) = 16*p**2. Determine f(x(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -7602425.3553382.\nAnswer: -7602424.8553382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*(sqrt(95)*-1*1)\/((1*sqrt(30))\/sqrt(6)))**2 + -1 + 3).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 - -6)*-3*8. Let o = -148 + c. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234465)\/6897 + 14 + 90\/6 + 5.\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 18*b - 11*b + 24*b)*(-32*b - 103 + 103) + 3*b**2 - 2*b + 2*b to the form q + y*b**2 + p*b and give y.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 762275718 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 3*m + 4. Let o = -299 - -301. Let b(v) = -2*v**3 - 2*v - 3. Give o*y(f) + 3*b(f).\nAnswer: -4*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 - 1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100011211122 (base 3) to base 10\nAnswer: 180674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:26 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520) + 2*sqrt(520) + sqrt(520))\/sqrt(10) + sqrt(52).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 8, 2\/7, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/250 and (-1 + 227\/(-10))*(-41)\/1230?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 194*b - 1118. Give h(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 259350 (base 12) to base 7\nAnswer: 5150652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 8*l + 11*l)*(5*l**4 - 10*l + 8*l + 2*l).\nAnswer: 40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 201.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3725 and -6.\nAnswer: -3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/13 (c) -9707.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jli when three letters picked without replacement from lulji?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((82861\/(-17343))\/((-20)\/(-54)))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, o: 1}. What is prob of sequence co?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -8*p - 1\/2*p**2 + 4. Determine f(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3 + 8 - 32*h + 8*h. Let m(j) = 1. Let x(i) = -3*m(i) + q(i). Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -155*n**3 - n. Let h be i(-1). Suppose 5*x = x + h. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -555165?\nAnswer: -555165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.660803601 to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (550 + 741 - 1499)*(-5 + 3 + 4)*(1 - 1 - g) to the form j + n*g and give n.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4468635?\nAnswer: 3, 5, 79, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7294926 from -30.46704.\nAnswer: 7294895.53296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 80 = 2*l, -11 = 2*t - 4*l - 51. Let j = -20 + t. Let f(v) = 2*v + 5000000. Let u be f(j). What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3 - 3 - -3 - 5) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {j: 12, k: 2, u: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346 - -167?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/23 - -5968\/4255. Find the common denominator of u and -18\/5.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -12) + (-3 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 17 (b) 0.4 (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-444)\/(-14) - (-14 + 46). Let i = -0.1 + -0.5. Let k = -0.9 - i. What is the nearest to w in -1\/2, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -6262\nAnswer: 2\/3131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let b be 6\/(-9) + 2\/3. Suppose b*o - o = -3. What is the remainder when o is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5451635, -10903269, -16354903, -21806537?\nAnswer: -27258171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -31. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41508, 41509, 41510, 41511, 41512?\n\"Answer: n + 41507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 1, f: 2}. Give prob of picking 2 r and 2 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1027 + 2072\/9243. Let w = 1.1 + -0.1. Sort w, 1\/12, z in decreasing order.\nAnswer: w, z, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1382 = -5*i - 3*u, -6*i + 830 = -3*i + u. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10668 is divided by 107.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 5*h**2 - h + 2. Let l be w(4). Does 5 divide (l\/15)\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 = 2*r. Let y(b) = 2. Let n(d) = d. Let t(g) = -23*g - 121. Let a be t(-6). Suppose 5*w + 3*k + 37 = 12, -a = w + 3*k. What is r*y(x) + w*n(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 - 195. Is p > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*t - 1 - 387*t + 79*t + 0 + 8 as c*t + j and give c.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 4*d = 47 + 21, 20 = -5*q - 5*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373132 is divided by 2629.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (985 + 2817 + 534 + 914)*(-3 + z + 3).\nAnswer: 5250*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**8\/4480 + 3*j**7\/2240 - j**6\/480 - 5*j**3\/6 - j**2 + 2*j - 5. Let c(x) be the second derivative of r(x). Solve c(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118066 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16185 - -50177. What are the prime factors of z?\nAnswer: 2, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 12*t + 4. Let c(z) = 8*z - 19. Let h be c(3). Suppose -3*s = m - 10, -h*m - s + 50 = 4*s. Is 4 a factor of j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -91*p**5\/2 + 10547*p**4\/6 - 16367*p**3 - 18700*p**2\/3 = 0. Calculate p.\nAnswer: -100\/273, 0, 17, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-8 + 0)*-2. Sort -2, -4, -10, j in ascending order.\nAnswer: -10, -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/5 - 6*u**4\/5 + 2*u**3\/5 + 22*u**2\/5 + 24*u\/5 + 8\/5 = 0. Calculate u.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 + -3 - 5) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194.788 - -0.212. Let w = x - 194.999893. What is w rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3675*o - 6575 = 3412*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -4*l - 12, -3*s - 2 = s - 3*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10633?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/3 + 368*z\/3 + 7406\/3 = 0.\nAnswer: -161, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2178)\/(-528))\/((141\/(-376))\/(6\/2)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9483 and 8736627?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -579\/17?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 c when four letters picked without replacement from {c: 9, i: 6, l: 4}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16*f + 51 = 0. Sort -4, 1, f, -17 in descending order.\nAnswer: 1, f, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 2, h: 1, l: 1}. What is prob of sequence gh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173713215 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, d: 1}. Give prob of sequence dx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -149 + -1c6a?\nAnswer: -1db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u - 1. Let q be s(-1). Suppose -8*b + 848 = -q*b. Let v = -131 + b. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 + 6*g - 4. Let h be m(4). Suppose o - 2*u - h = -o, 0 = 4*o - 5*u - 6. Calculate the greatest common divisor of 40 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*r + 2*r**2 - 45*r + 772 - 3*r**2 - 19*r.\nAnswer: -r**2 + 772","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 1, -736, -22.\nAnswer: -736, -22, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k - 1. Let q(a) = 2*a**3 - 3*a**2 + 241*a + 4. Determine q(r) + 3*x(r).\nAnswer: 2*r**3 + 247*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -881, -1767, -2653, -3539, -4425, -5311?\nAnswer: -6197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11306 = -27*w - 101. Let z = w - 410. Put 1, -22, z in decreasing order.\nAnswer: z, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690367 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -51*p**2 + 5*p. Let j = 4187 + -4192. Let h(m) = -943*m**2 + 92*m. Calculate j*h(o) + 92*b(o).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m = 2*m - 84 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 4*f + 13. Let t be u(-6). Let r be ((-70)\/(-26))\/(-7)*-1. Which is greater: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40892829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*q - 135, 4*q - 95 = -t + q. Let g = t - 73. Calculate the greatest common divisor of g and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.92 and -178611531.\nAnswer: -178611533.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 0*p - 20 = 3*p, -1190*o + 1186*o - 272 = 33*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:00 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 + 218*x**4 + 8198*x**3 + 115990*x**2 + 372400*x + 343000.\nAnswer: 2*(x + 2)**2*(x + 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w**4 - w)*(0 + 1 - 3)*(4*w + 9*w - 5*w).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)*6 - (-108440)\/(-18977).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:33 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 32, 35?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 12*b**2 + 2 as y*b + u*b**2 + o and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0296 - -2.0296. Let k = 2 + -1. What is the second biggest value in z, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)*m\/m**(6\/11))**(2\/43) assuming m is positive.\nAnswer: m**(29\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:56 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**3 + 18*x**6 - x**3 + 13*x**2 wrt x.\nAnswer: 2160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/2 - 25*b**3\/3 + 9*b**2\/2 - 25*b + 33. Calculate the remainder when 117 is divided by t(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (20 + -7)) + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111111111100000110 - -100?\nAnswer: -1100111111111100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028546619 rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 390982, 390759, 390536, 390313, 390090?\n\"Answer: -223*k + 391205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -38*y + 41*y. Let x be ((-18)\/y)\/(9\/(-240)). Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - -66. Let m = 76 + -55. Calculate the highest common divisor of m and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 1. Let n(o) = -11*o**2 - 9*o - 2. Let b(r) = 2*r**2 + r. Let x(k) = 5*b(k) + n(k). Determine -2*s(u) + x(u).\nAnswer: u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c - 1c?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 38 - 114)*(5*a**2 + 5*a**2 + 22*a**2).\nAnswer: -4384*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 3, -27, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675472 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 8, 1900?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -3 - 4)*((-13)\/2)\/(-13). Let z = 0.09 + 2.91. Put q, z, -4, 2.1 in descending order.\nAnswer: z, 2.1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8890579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19740)\/(15 + 78687\/(-5250)). Round p to the nearest ten thousand.\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - o + 24. Solve o*u = 1 - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3639350 rounded to the nearest 1000?\nAnswer: 3639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/12 - 8800*h. Let z(j) = 3*j**2 - 13*j. Determine z(s(p)).\nAnswer: 3*p**4 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1128637911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*v + 4*t + 13, 2*t - 2 = 0. Solve -10 = -v*r + 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1926168239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 506\/(-2783) + 730\/22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 1. Let t(c) be the first derivative of c**5 - c**2\/2 - 8*c + 8. Let q(l) = -t(l) - x(l). What is the derivative of q(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.375249625 rounded to 3 dps?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 44 = l - 4*g, 0 = -l + 3*g - 1. What is the common denominator of 78\/l + 0\/(-4) and 59\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*w - 43 = -4*w, 3*w + 42 = 5*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -80\/17791403?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-15)*6\/(-5). Solve z*j = -r - r, -3*r = -2*j + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 893.\nAnswer: 45\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 132 = 3*i. Let m = 616 + -598. What is the remainder when i is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + 0 + sqrt(275) + (sqrt(275) + sqrt(275)*-1)**2 + (-1*(-2*sqrt(275) - sqrt(275)))**2 + 0.\nAnswer: 5*sqrt(11) + 2469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20992)\/246 - -85)\/(((-1)\/(-6))\/((-15)\/2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.93 - -5.97. What is o rounded to 0 decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 15 = 5*m + 43, 4*m + 18 = 2*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 36. Suppose n = -7 - r. Let q = n + 44. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.58, 3\/5, 2\/7?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 9.2. What is the second biggest value in -2\/11, a, 2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 26\/7 (c) -17 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21862, -43722, -65582?\nAnswer: -87442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 6*w + 2. Let f be n(4). Let u be -3 - (0 - 2) - -3. List the prime factors of (6\/(-9))\/(u\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 14*w - 8*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 * 16\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 c, and 1 d when four letters picked without replacement from vkthhhkchktcchdhkhkh?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvoksvehkk. What is prob of picking 1 o and 2 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 2, v: 4, z: 4, l: 3, p: 3}. Give prob of picking 1 u and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 22. Let m(l) = -v*l + l + 4*l. Let x(w) = -2*w. What is -6*m(t) - 5*x(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:56 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4 and 95\/6629548?\nAnswer: 6629548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-217315.\nAnswer: -869260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 326631 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:54 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 435*q**5 + 169*q wrt q.\nAnswer: 8700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*1*sqrt(72)*-3*2*5*2.\nAnswer: -720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717228468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -16 (b) 431 (c) -0.92 (d) 0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -497*z + 478*z + 3458. What is the smallest common multiple of z and 140?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1\/(-8) + (108\/9 - 9)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6423084251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -1\/112*i**8 - 7\/120*i**6 + 0*i**3 + 0*i**4 - 4\/105*i**7 + 0 - 1\/30*i**5 - 2*i**2 + 0*i. Factor g(s).\nAnswer: -s**2*(s + 1)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.3 - -30.8. Which is the third smallest value? (a) -7 (b) 2 (c) -2\/3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 382 + 4*g**2 + 381 - 3*g**2. Let o(l) = -8*l**2 - 7*l + 7. Let q(z) = 2*o(z) + 14*u(z). Let a(s) = -4*s + 3*s + 0*s. Give a(q(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*c\/c**(-2\/5)))\/((c**1\/c)\/c))\/((c\/(c\/(c**1\/c*c)))\/c)**(9\/11) assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 + 10111313?\nAnswer: 10120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o**3 + o. Let g(x) = -x**3 + 8*x**2 - 18*x + 7. Let p be g(4). What is w(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:13 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 3.7.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a factor of 314594547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1.0239 (b) 2\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 31 = -139. Calculate the highest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**3 + 3*w + 3. Suppose 2*g = 3*b + 12, -2*g - 12 = -4*b - 26. Let z(m) = 16*m**3 + 7*m + 7. Determine g*z(a) - 7*s(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513251445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/2 + (-55)\/(-22). Let v(a) = -2*a - 8. Give v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m - 4*m + 34 - 8*m + m + 25*m. Determine i(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - z + 6. Suppose -z*a - a = -15. Suppose -a*s - 4 = -7*s. Calculate the remainder when 3 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23644, 23957, 24480, 25213, 26156?\n\"Answer: 105*m**2 - 2*m + 23541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7800727ng in milligrams?\nAnswer: 0.0000007800727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*q + 2)*(-7*q + 8*q + 9 - 4*q)*(5 - 5 - 1) to y + r*q + h*q**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.24337 or -1.45?\nAnswer: 0.24337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Let r = 0.5 - v. Let n = r - 0.4. What is the smallest value in n, 1\/7, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**7\/7 - 7*c**4\/6 - 7*c**2\/2 + 31. Let u(i) be the second derivative of j(i). Find the second derivative of u(v) wrt v.\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 - -4) - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8)**(3\/8)*s*(s*s*s**(-1\/5))\/s*(s\/((((s*s**(-3\/7))\/s)\/s)\/s))\/s assuming s is positive.\nAnswer: s**(253\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 26*r = -5*r - 187 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = m - 0. Find the third derivative of 6*w**5 + 4*w**m - 5*w**5 - 4*w**2 wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*b + 46*b - 244*b.\nAnswer: -131*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxrfwxwfhrxxrru. What is prob of sequence uhwf?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2346 and 79616202?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166365 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: In base 5, what is -431 + -2302202?\nAnswer: -2303133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 2, q: 1, s: 1}. Give prob of sequence iqix.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -295, -7, 0 in increasing order.\nAnswer: -295, -7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppni when four letters picked without replacement from {n: 2, p: 5, i: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -80) + (5 - 38 - -43) - (-4 - -11).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, 4*g - 6*d - 8 = -d. Suppose -3*p - 4 = -4*k - g, -p + 16 = 2*k. Let o(l) = -5*l**2 - 7*l + p*l**2 - 3 + 4*l. Determine o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/2*(-12)\/18. Let x(j) = 3*j**2 - 25*j + 7. What is the remainder when x(m) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 5. Determine a(-12).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(-35*v**2 + 2*v + v - 4*v) to the form w + h*v + s*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 3\/5, -9, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.102, 0.3, -1026\/43 in decreasing order.\nAnswer: 0.3, -0.102, -1026\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuiibtuiuiiiizuiuiz. Give prob of sequence uut.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89388 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14834893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-4)\/sqrt(6))\/sqrt(8).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 8939889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 592183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-5\/2))*k**8\/k)\/(k**(-5))**(4\/5) assuming k is positive.\nAnswer: k**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(24)\/sqrt(6)*-3))**2 + sqrt(17) + (sqrt(17) + -4*(0 + sqrt(17)) + sqrt(17))**2 + (sqrt(17) - ((sqrt(85)\/sqrt(5))**2 + 2)).\nAnswer: 2*sqrt(17) + 458\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 278. What is the remainder when u(-35) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7\/73 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246064 + -4?\nAnswer: 246060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgumeuecuemmeemmcumg. What is prob of picking 2 c and 2 g?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/24 and -51\/29.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -215*x**3 + x. Let t be a(1). Let v = -152 - t. Suppose 78 + v = 2*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -975 + 3164. Suppose 6*z - 385 - o = 0. What are the prime factors of z?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 48, 99, 160, 225?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6407 + -6407.015111. Let f = -0.015 - k. What is f rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)*a)\/a**9)\/((a**(-9)\/a*a)\/((a\/(a\/a**(-3)))\/a*a)) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.063 (b) 4 (c) -3 (d) 1 (e) -62\/11 (f) 0.1472\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = j. Let i = j - -9. Solve -4*d = i*y - 2, 0 = 2*y - d + 5 + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*l + 212*l = 55. Which is the closest to -2? (a) l (b) 2\/15 (c) -4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4024108, -4024106, -4024108, -4024114?\n\"Answer: -2*g**2 + 8*g - 4024114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56871104429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u)*((-2 - 3 + 3)*(4 - 4 - 1) + 0 + 0 + 2)*(2 + 3 + 2).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 7*o**3 + 1103*o**2 - 3 - 1103*o**2.\nAnswer: 3*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(77)*1 + (sqrt(77) - ((sqrt(77) + sqrt(77)*-2 + sqrt(77) + sqrt(77))*6 + sqrt(77))))*6)\/((sqrt(336)*-1*-2)\/sqrt(12)).\nAnswer: -9*sqrt(11)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 + (5 - 6) - (12 + -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 + 77 = 5*g, 5*q + 2*g + 12 = 0. Let o(t) = 3*t - 13. Let n(d) = 4*d - 14. Calculate q*n(s) + 7*o(s).\nAnswer: -3*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*a, 0*a + 4*a = 4*j + 8. Suppose 2*u = j*u. Suppose 1 = 4*m - 3, 5*x = -m + 16. Solve 3*s + u*s + p - 20 = 0, s - x*p = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7 = -5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 3138 + 228. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - j - j)*(3*j**3 - 1060*j + 235 - 234 - 4*j**3) to the form i*j + l*j**3 + k*j**4 + s*j**2 + n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -42. Let q = 36 + y. Calculate the greatest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/17 and ((-814)\/(-99))\/(66\/27 - 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*1)**2 + 4.\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3 + 0*a**2 + 0 + 51*a + 4\/3*a**4 + 1\/10*a**5. What is the second derivative of s(v) wrt v?\nAnswer: 12*v + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17670, 80, 7 in decreasing order.\nAnswer: 17670, 80, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:52 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 160.9133*-0.1\nAnswer: -16.09133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = 3*p - 21, 4*p - 12 = 0. Suppose -413*m + 105*m + 5886 = 1574. Is m smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 998 = -966 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6080 - 48569\/8. Find the common denominator of q and (-4)\/80*(-1122)\/407.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1100)*5*-6)\/(5*-4*-1*sqrt(8)\/sqrt(2)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12563\/4 (b) -0.2 (c) -1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 352\/261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/16 - 0)\/((-2)\/88). Suppose -5*g + 4 = -r. Factor 53*f + 9 + 4*f**g - 4*f**3 - f**3 - 5*f**2 - 56*f.\nAnswer: -(f - 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*s + 386. Let j(y) = -y**3 + 7*y**2 + 7*y - 52. Let x be j(6). Calculate the greatest common divisor of x and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209\/50 + -2\/25. Let l be 1 + 2\/(-20)*-23. Let m = l - d. Which is smaller: m or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p. Suppose 5*s = a - 3*a + 85, p = s - 3*a - 34. 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 the millions digit of 957362551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1300) + sqrt(117) + -1 + 0.\nAnswer: -3 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -33, -88, -199, -384?\n\"Answer: -3*g**3 - g**2 + 7*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 1103 = -392. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3001*l - 1349 - 911 + 760*l - 1154*l - 601*l wrt l.\nAnswer: -3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*b + 14 - 49 = 0, -5 = -4*w + 5*b. Sort w, -0.06, 2 in decreasing order.\nAnswer: w, 2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from ipfpfpmpfff.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 249, 219, 167, 87?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 4*a**3\/3 + 333. Let b(c) = -32*c**2. Calculate b(m(u)).\nAnswer: -512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*o - 93650 = 0, -30382 = -3*c + 2*o + 25843. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -599 - -605. Suppose f*n = 8*n - z - 11426, 17125 = 3*n + 2*z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, w: 9}. What is prob of sequence wfwf?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose -f = -u - 4. Solve 3*v + 0 = 4*o - 5, o - f*v = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -415223465?\nAnswer: 415223446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748 and 4664902?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 90.9. Let r = -19981009.900043 - -19981001. Let i = l - r. Round i to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 - 67403*l**4 - 2*l**3 + 84*l**2 + 23*l - 2.\nAnswer: 60*l**2 - 1617672*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24218964, -24218968, -24218974, -24218982, -24218992, -24219004?\n\"Answer: -u**2 - u - 24218962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -5 + sqrt(99) + -5)**2 + (6*(sqrt(99) + sqrt(99) + 0 + sqrt(99)) - sqrt(99)).\nAnswer: -69*sqrt(11) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 13. Let y be m(15). Suppose 27 - y = 5*o. Suppose 5*x - 3*x - 8 = t, -5*x - 10 = o*t. Solve 2*n + 4 = x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5 - 150*t**4 - 291*t**3 - 144*t**2.\nAnswer: -3*t**2*(t + 1)**2*(t + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 13 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1324, 2269, 3216, 4165, 5116, 6069, 7024?\n\"Answer: t**2 + 942*t + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 471363 + 198637. Round c to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -847, -1698, -2549, -3400, -4251, -5102?\nAnswer: -5953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7675751930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*12\/27*3*294\/294\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 - 3*b**4 + 4*b**3 + 16*b**2 - 16 = 0. Calculate b.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/2 - 4. Which is the smallest value? (a) 3\/4 (b) -2 (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**3 - 569*c**2 + 439*c - 118. Give f(-143).\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 112*k - 797 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -8 (b) -6\/11 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 845169 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3 - 438*d**2 - 63948*d - 3112136 = 0.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 10\/101, 0, 0.1.\nAnswer: -0.4, 0, 10\/101, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-9 - 20)) + 30 + -31 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*h - 1876*h + 86*h + 79*h + 1546*h + 80*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2960858 (base 11) to base 9.\nAnswer: 10504404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5884 + -17354\/3. Let l = k - 99. Factor l*y**3 + 0 - 1\/3*y**2 + 1\/3*y**4 - 1\/3*y**5 + 0*y.\nAnswer: -y**2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.932067 - -4.\nAnswer: -3.932067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1891335 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 413769, 827516, 1241215, 1654842, 2068373, 2481784?\n\"Answer: -4*l**3 + 413775*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 12*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28652 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.72?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.066 - -0.934. Let d = -3.2 - -3. What is the biggest value in l, -5, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(1904\/68)*42\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 2, c: 5, k: 1, a: 1, r: 3}. What is prob of sequence rm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -2. Let y(u) = -2*u. Let q be y(c). Calculate the greatest common factor of 18 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 9*o**2 + 3*o - 5. Let d be i(8). Let s = d + 374. Suppose 3*b + 3*x - 113 = 2*b, -3*b = 4*x - s. List the prime factors of b.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2947*z**2 - 671*z**2 - 20*z**2.\nAnswer: -3638*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -66. Calculate the common denominator of -109\/44 and (-2946)\/(-480) - (-1)\/z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 61*l - 40 = 57*l, -12 = 4*l. Let a(c) = 8*c - 9*c - 2 + 3 - 10. Calculate a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/(1\/2). Let i(h) = 903*h + 1. Let z be i(j). Let b = z - -3573\/4. What is the common denominator of b and 23\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 7, 12, 17, 22, 27?\n\"Answer: 5*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 226 = -62*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 16*s**2 - 81*s - 55. Determine p(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:38 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.04 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 720 + -556. What are the prime factors of b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**3 + y**2 - 6*y + 1. Let m be j(-3). Let s = m + 512. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 67. Let y = w - 28. What is the first derivative of -2*f**4 - 3*f**4 - 19 + y wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 + 6*q. Let c be (1 - -6*1) + -2. Let f be a(c). Solve -w + f = d + 4*w, 1 = -3*d + w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10125 - -3657. Let p = j + 12368. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 2*s + 0*s + 0*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q - 68. Let d be r(18). Suppose -11*g + 0*g = -d. Solve 6*m - m - g = 0, -x + 2*m - 13 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(136) + sqrt(136) + sqrt(136) + ((1*sqrt(136) - sqrt(136))*2 - sqrt(136)) - sqrt(136)))\/(-5*sqrt(8)*-2 + (sqrt(96)\/sqrt(4))\/sqrt(3)).\nAnswer: 4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:32 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492*m - 110 = 470*m. Solve 2*q + h - 1 = 4*q, m*q - 2*h + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 2\/13, 2\/5, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18348057 to the power of 1\/2, to the nearest integer?\nAnswer: 4283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.7. Let n = -4 - -3.7. Let g = n + j. Which is the closest to 0? (a) g (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 + 6*n - 6. Let t be o(4). Suppose t*u - 58 - 25 = -v, 4*v - 314 = u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {r: 7, h: 1, y: 4, i: 1, k: 2, w: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 366.943202.\nAnswer: 362.943202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3382*t**3 + 0*t - 3409*t**3 + 0*t.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**2 - 6*z - 2. Let f(a) = 27*a**2 - 17*a - 5. Let n be 57\/(-5) + 2\/5. Let o(m) = n*t(m) + 4*f(m). Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 652, 762, 872?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 16) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7. Let n be m + 0 - (5 + -5). Let t(w) = -3*w**2 - w + 1. What is t(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 8. Let v be d(-8). Suppose 3*s - 2*s - 3 = v. Suppose 0 = -2*m + s*i + 26, 3*m - 2*i - 3*i = 38. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 947716 and 3605882?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 12*y - 27. Let f be x(10). Let u = f - -50. Solve 5*q + u*l = l + 12, 5*l - 13 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17153085 to the nearest integer?\nAnswer: 4142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*f**2 + 0 + 4\/5*f**3 + 0*f - 4\/5*f**5 + 4\/5*f**4.\nAnswer: -4*f**2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*p - 24*p + 3497 + 850 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*l + 89 = 826*l - 389*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 923269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 5. Let j be -15 - -20 - 4\/2. Suppose 10 = -j*y + 4. Let x(l) = -2*l - 6. Let t(c) = y*x(c) - 3*n(c). Determine t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 - 3*l - 6. Let d be h(-9). Let z = d + -31. Let x = z + 497\/2. Put 0.5, -2, x in descending order.\nAnswer: 0.5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -141*u + 1987. Determine i(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7562526 and 0.5?\nAnswer: 7562526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 1\/12*x**4 + 6*x**2 + 11*x + 0 - 4\/3*x**3. Let w be t(6). Let o(j) = j - 12. Give o(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101856858?\nAnswer: 2, 3, 16976143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*5)\/(sqrt(99)\/sqrt(144)).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - -57. What is the smallest common multiple of 12 and a?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(d**2 + 0*d**2 + 3*d**2 + 2*d)*(0*d - d - d).\nAnswer: 16*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279248?\nAnswer: 2, 31, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 3 + -7 + (5 - (11 + -8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150336567?\nAnswer: 1150336567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, 134, 195, 252, 305, 354?\n\"Answer: -2*g**2 + 71*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2929 = -2*o - d, 2*d = 3*o - o - 2920. Suppose 3*c = o + 124. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6163*r*x**3 + 25706*r*x**2 - 3*x**3 wrt x.\nAnswer: -36978*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2596 (base 10) in base 9?\nAnswer: -3504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 3 + 4 - (-38 + 43 + -18)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 578, 1, -4.\nAnswer: -8, -4, 1, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 99*j**2 - 150*j + 126. Calculate a(48).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326962 is divided by 331738?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16114*h + 12549?\nAnswer: 16114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101908 and 1777108.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(3 + sqrt(300)) + -2 + 0.\nAnswer: -40*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16 = 9. Suppose -108 = a*p - 398. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 9*z**3 + 0 + 2 - 1 to the form l*z**2 + c*z**3 + b*z + p and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 39, 70, 113, 168, 235, 314?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -7.04127155889\nAnswer: 7.24127155889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905.62063 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 66. Let n = -0.4 - -0.7. What is the second smallest value in -2, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3613042 divided by -457?\nAnswer: 7906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 202 = 3*z, -2*z + 75 - 248 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + 2*r - 7*r + 98 in the form m*r + z and give z.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108138184?\nAnswer: 2, 7, 11, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1260*x**2 - 1499*x**2 + 96 + 8*x + 365 wrt x?\nAnswer: -478*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 45, 1\/5, 13\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6 - 3.3. Let z = u + -0.3. What is the nearest to z in 2, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.8036 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/70 and -71\/5250.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = 3*n - g, -5*n + 50 = 5*g. Calculate the lowest common multiple of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6633031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684799983.\nAnswer: 3, 7, 43, 449, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:14 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2666856.\nAnswer: 1\/666714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2785 = 2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 8) to base 10.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5 = 3*r, 0 = 4*r + 4*w + w + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75547, 151096, 226645?\nAnswer: 302194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.9 - 29. What is the nearest to -1.3 in c, -5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 + 2*f**2 - 6*f - 10. Let s be j(-4). Let n = s + 212. What is the closest to n in 0.3, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 34*z**3 + 12*z**3 + 3*z.\nAnswer: -22*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53821643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**5 - 4*p**3 + 2*p**3 + 10*p**5)*(-5 + 0 - 1).\nAnswer: -6*p**5 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -n - 89, -3*n - 288 = j + 3*j. Let c = -56 - n. Suppose -4*q = d - 6*d - 66, -q + 5*d = -9. What is the remainder when c is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14c - 34d?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -445, -668, -891?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 15640?\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -233547.71387 and -12.\nAnswer: -233559.71387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20301 and -2.06.\nAnswer: -41820.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 5*m**4\/24 + 37*m**3\/6 + 20*m**2. Let k be n(-7). Let h be 1239992\/k - (-1 + -3). What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 750 - -777?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-153) - 105\/(-27). Solve -5*t + 4*y = -y + 30, 2*t = -q*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -307? (a) -1.19 (b) -1 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*i**4 + 0 - 28\/3*i**2 - 4*i - 20\/3*i**3.\nAnswer: -4*i*(i + 1)**2*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2724*o**2*r**2 + 45*o**2*r + 1691*o*r**2 - 2*o*r + 21*o wrt o.\nAnswer: -5448*r**2 + 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167963 - 676313 = -30*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q - 25. Suppose -4*o = -5*l - 172, q*o - 4*l - 198 = -2*l. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**5\/2 + 535*u**4\/2 - 13485*u**3\/2 - 44275*u**2\/2 - 15125*u = 0. Calculate u.\nAnswer: -2, -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -v - 36*d, 13*v + 29*v - 28 = 38*v + 4*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 33*j + 391608 = 0. Suppose 0 = -172*t + 163*t + j. What are the prime factors of t?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25498 + 25505. Is -10 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*q + m + 5279 = 0, 0*m + 82 = 3*q - 4*m for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = a - 6*d, -3*a - 8*a + 11*a + d = 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.7 (b) -0.3 (c) 5 (d) 135 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.097986 (c) 4.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s - 42*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 27*o**2 + 17*o. Let p be w(-24). Suppose p = -22*l + 28*l. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385503 is divided by 55064?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*s = -127 + 316. Is s <= -3\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/27*(-3)\/2. Suppose -83 = -5*f + 3*a, w*a - 21 = -2*f + 6. Calculate the remainder when 46 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 496*n**2 - 7144*n + 21. What is t(14)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o + 9. Let p be w(-15). What are the prime factors of p\/9 - 5\/15?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 308, 1219, 2734, 4859, 7600?\n\"Answer: s**3 + 296*s**2 + 16*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**20\/x)\/x*x**12 assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 119. Let j(o) = 9*o**3 - 19*o**2 + 25*o - 42. What is the lowest common multiple of j(3) and y?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152862 divided by -2\nAnswer: 76431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 1, r: 2, a: 2, s: 1, j: 1}. What is prob of sequence jhh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1825896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548351 is divided by 1112?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67.69 + 68. Let g = 5.91 - q. Let c = g + -6. What is the closest to -2\/3 in -5, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from bwuymydywubumy.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2305*u + 5199*u - 2896*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7930 divided by -5.\nAnswer: -1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:41 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(-3 + 2)*1. Let f(b) = -b**3 + 5*b**2 - 4*b + 2. Let d be f(4). Solve -v + 2*v + d = u, l*u = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80 + -159920?\nAnswer: -159850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 71. Solve -l = 2*l - 4*r + x, -l = 4*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 8 + 14 = -3*s, -2*p + 4*s - 10 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73983 is divided by 23729.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**2 + 23*l - 9. Let h be w(-10). Suppose -3*a = 6, 3*o + 4*a - 8*a = 17. Solve -i + v + h = 0, -i + o*i + v = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*g - 3*u - 3, 5*u = 4*g - 23. Suppose -4*h - 4*s = 24, g*h + 27 = s - 6*s. What are the prime factors of (2\/(-2))\/h + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 28260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 32. Let d be x(-28). Suppose -3*m - d*m = -2*m. Solve -4*c + 2*a = 0, 2*c = -m*a + 5*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (30 - (62 + -33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2062 + -2?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -279*k - 11723. Let z be j(-42). Let a(i) = -2*i + 11. Let h(n) = 11. Let s(x) = -4. Let b(r) = -3*h(r) - 8*s(r). Calculate z*b(g) - a(g).\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2. Let i(v) be the second derivative of v**4\/12 - 20*v. Give i(f(d)).\nAnswer: 100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1705, 6865, 15469, 27517?\n\"Answer: 1722*z**2 - 6*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/3341?\nAnswer: 6\/3341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 16) to base 3.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -568*s**2 + 2008*s. Let q(b) = -3409*b**2 + 12047*b. Let a(u) = -2*q(u) + 13*y(u). What is the second derivative of a(o) wrt o?\nAnswer: -1132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15553\/14115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 52163.59286 and 260?\nAnswer: 51903.59286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-34)*522\/18 - -3. Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Suppose 0 = 4*v + k, 4*o - 2*v - 26 = -8. Solve 0 = -x + o*i + 2 - 3, 0 = -3*x + 5*i + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4034b0 - -4?\nAnswer: -4034a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155816, -311604, -467396, -623192, -778992?\nAnswer: -934796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134990281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99554 (base 13) to base 3.\nAnswer: -112002222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 104, 81, 30, -61, -204, -411?\n\"Answer: -2*s**3 - 2*s**2 - 3*s + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4*b + 483*a**3*b**3 + 109*a*b**3 - b**3 - 2*b wrt a.\nAnswer: 36*a**2*b + 2898*a*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*a - 4*x, -2*a + 12 = 2018*x - 2017*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*i - 2. Let l(x) = 1 + 0*x - 2*x - 2*x. What is the units digit of l(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444446763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2*b**3\/3 + 5*b**2\/2 - 7*b + 2. Let x(h) = -2*h**2 + 8*h - 12. Let s be x(3). Let r(a) = a - 1. Determine s*r(n) + y(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 37*d + 210 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6*b - 130 = 0. Let r = b + 216. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386515.\nAnswer: 5, 23, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -61.09. Let s = -1.9738 + -0.0262. Is v smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j - 5 - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 + 2*b**2 - 4*b + 7. Let d be m(-3). Let l be (-83)\/(-4) + (-11)\/d. Let q = 20 - l. Do q and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176696 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 44*r + 11. Let i(q) = -15*q - 4. Give -8*i(u) - 3*x(u).\nAnswer: -12*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 2*u + 2. Give x(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -43. Let u = d - 17.0007. Round u to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -23*r**3 - 11*r**2 + 67*r + 484. Let t be x(-32). What is t rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2113.4999 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -7. Let r = -43 - -37. Let j = r + a. Which is greater: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p - 12. Let r be x(-7). Let g be r\/110*1\/(-7). Put 0.5, 0.1, g in decreasing order.\nAnswer: 0.5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 16) in base 6?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -3, -4\/13, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1181 and -5?\nAnswer: 5905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 2*l**2 - 2*l + 1. Let z be p(1). Let h be ((-5)\/(-3) - 1)*(-30)\/(-4). Suppose -4*w - h = 3, -2*j = -4*w - 18. Solve 0 = -z*i - i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/70 + h**6\/40 - h**4\/24 + 12*h**3 + 90*h**2. What is the second derivative of z(l) wrt l?\nAnswer: -36*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:43 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q + 5. Let y be h(-3). Solve x = -y*m + 2, x - 2 = 2*m - 0*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/10)\/(2\/10). Suppose 5*c + 2*p - 84 = 0, 2*p = -0*c - n*c + 68. Let r = c + -11. Solve -b = -r - 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 1*-6 - -4)*3. Let o be ((-1)\/3*j)\/(-1). Put -1, o, 2 in descending order.\nAnswer: 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 32\/13 (b) 2\/19 (c) 61\/10 (d) -3 (e) 1 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y + 5. Let d(s) = 6*s - 7. Let u(r) = r. Let f(o) = d(o) + 2*u(o). Let n(a) = -5*f(a) - 7*j(a). Let l(k) = 5*k**2. Calculate l(n(z)).\nAnswer: 125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.8 plus -924950?\nAnswer: -925008.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -2.13.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/528 and 71\/384?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-8) + 15\/4. Suppose j*x - b = -3*b + 351, -3*b = -2*x + 247. What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97.146 + 0.146. Let y = -101 - w. What is the second biggest value in 5, y, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1398 and 18.\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2158 + 2158 + 155*m)*(16*m + 164*m**3 + 7*m - 166*m**3).\nAnswer: -310*m**4 + 3565*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 1111221?\nAnswer: 1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9297*z - 7. Give s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 10. Let d be l(11). Suppose p + 1 = d. Suppose -p = -2*q + 7. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 10. Let a be h(-6). Let g be 4 + (148\/(-18) - a). Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -18. Let z = -8.7 - o. Let c = 0.2 + z. Put c, 0.1, 4 in descending order.\nAnswer: 4, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -943, -1960, -3055, -4228?\nAnswer: -5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102130 (base 4) to base 7.\nAnswer: 21245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986310661.\nAnswer: 7, 20128789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2290414*q + 491787.\nAnswer: -2290414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6*(-3)\/63)\/((-6)\/(-21)). Put -3, r, -13 in descending order.\nAnswer: r, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - s - 1. Let p(h) = 229*h**2 + 236*h - 3. Let r(x) = -3*m(x) + p(x). Find the second derivative of r(f) wrt f.\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = 5*j, -j = -3*j. Is 7 a factor of 127\/4 + (l - -7)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 2*f + 0*f)*(-1 + 3 - 4) - f - 1 + 1 - 22 + 506*f + 22 + 0*f + 0*f + 2*f + (7 - 3 - 2)*(f - f - 2*f) - 2 + 2 - 2*f in the form l + k*f and give k.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(432) - (sqrt(432) + (sqrt(432) - sqrt(432)*1) + sqrt(432)) - sqrt(432)) - (((sqrt(55) - sqrt(880)*-2) + sqrt(55))\/sqrt(5))**2) + -5.\nAnswer: -1105 - sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4637462565?\nAnswer: 3, 5, 4547, 67993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/(m\/(m**(3\/11)*m)))*m**(17\/5) assuming m is positive.\nAnswer: m**(117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/5 of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 400031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 75*p - 238. Calculate c(4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2508 divided by -23?\nAnswer: 2508\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = a + n, 5*a + 35 = -0*n + 5*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -605 - -41910?\nAnswer: 41305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*26\/(-52)*(-468)\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 13*c**2 + 13*c - 616. Determine p(6).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)*-2 + sqrt(378))\/(sqrt(216)*3).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -487.248828 to the nearest integer.\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -25*j**4\/6 + 24*j**3 - 220*j**2. What are the prime factors of r(-15)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*u = 2973 - 1005 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s, 97*u - 394 = 93*u - 2*s. What is the smallest value in -2\/5, u, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-9 - -9) - (5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1834329 or -1834331?\nAnswer: -1834329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 11}. What is prob of picking 3 e and 1 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(2*z - 3*z + 3*z) + 0 + 0 + 4*z + (2 + 1 - 5)*(0*z - 4*z + 2*z) + (3*z - 3*z + 2*z)*(1 + 0 + 1).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190 (base 11) in base 13?\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from rzrwrrwnwrrnnnw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6)*1360\/(-30). Let p = q - -54. Let u(n) = n**2 + 10*n + 7. Let f be u(-7). Is p bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 4. Let z be q(5). Let l = 4 + z. Suppose -2*u - 4*f - f = -22, 5*f = l*u - 20. Solve 0 = u*x - 2*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1074 + 40*a - 1074 + (-4 + 2 + 3)*(2*a - 4*a + 0*a) + a - 5*a + a)*(a**2 + 0*a**2 - 2*a**2).\nAnswer: -35*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 33*y**2 - y - 46878. Let c be f(0). Round c to the nearest one hundred.\nAnswer: -46900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/73? (a) -14 (b) 0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564493293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (86 + -90 + 3 + 1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*n**2 - 17*n**2 - 13*n**2 - 83*n + 30*n + 2 as x + h*n**2 + d*n and give d.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8338531*n**3 - 5*n**2 - 433125160*n wrt n?\nAnswer: 50031186*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 235721105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119927.\nAnswer: 43, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537.32 rounded to the nearest 10?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88144155 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: Multiply 1.51 and -0.61.\nAnswer: -0.9211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22532899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 4*h - 3. Let a be v(4). Suppose 18*s - a*s = 3945. Suppose 163 = u - 3*k, -5*u + 0*k + 2*k = -s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5700117 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 1\/3, -7\/6, -7\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - c = 17, -5224*g - 2*c = -5228*g + 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340578131 a multiple of 5729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 5 + 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:34 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.3. Let h be 6\/12 + (-7)\/(-2). Let k be h\/99 + 4\/22. Which is the closest to k? (a) n (b) -3\/4 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 5*a - 8. Suppose -c = 5*r - 8 + 25, -c + 4 = -2*r. Let l be r\/(-1) + (-4)\/(-1). What are the prime factors of h(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326232 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-273)*9\/(-3)*-2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-48 + 2) - 17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + k + 3. Determine f(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*x - 174*x = -56. Differentiate 32 - 8 + 169 + 94*f**x + 14*f - 14*f with respect to f.\nAnswer: 188*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -425?\nAnswer: 424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10262, -10260, -10258, -10256, -10254, -10252?\nAnswer: -10250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 144*x - 4. Let y be j(35). Suppose y*o = 145*o - 9. What is the nearest to -2\/15 in -2\/11, -0.1, -3, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000060402 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*u + 39*u - 2*c + 27, -25 = -u - c for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(-3)*o))\/o)\/o*o)**(1\/10) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*y = -2012, 4*q + 4*y + 697 + 1327 = 0. Let v = 1104 + q. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37224 is divided by 4651.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/919130 and 161\/48150?\nAnswer: 41360850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {b: 10, z: 4, v: 1, d: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36510560 by -2165.\nAnswer: 16864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, -11 in descending order.\nAnswer: 0, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34662302 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5 + 12*k**4 + 100*k**3 + 100*k**2 - 96*k - 112 = 0.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.2, -3\/4, 3\/2, -19536, -0.02, -3?\nAnswer: -19536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 15. Suppose 2*y - h = 4*y - 3*x, 2*x = -2*y + 10. Let u be 2\/(-4)*y*-2. Solve -5*o + 0*k + 4*k = 8, u*k - 4 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 175, 317, 447, 565, 671, 765, 847?\n\"Answer: -6*u**2 + 160*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 32 = 2*f, 4*v + 16 = f + 8*v. Suppose -f*u + 20*u - 1052 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 2, h: 1, f: 6, a: 4, x: 1}. Give prob of sequence xf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 320? (a) 63 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 6456*u + 12 - 3181*u as n*u + y and give n.\nAnswer: 3275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oalamomaoaaoooaoa. Give prob of picking 2 o and 1 a.\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 119 - 7*r + 29*r - 4*r to k + a*r and give k.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88290?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let o(u) = -u**2 + 3*u + 2. Let i be o(3). Let x(r) = -r**i + 2*r**w - 2*r**2. Let c(d) = 3*d**2. Calculate x(c(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1784 - -2765. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.47 - 14.57. Which is the nearest to -1\/15? (a) -0.5 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -657.\nAnswer: -5\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-4 - -3) - 3) + (5 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -362, -811, -1440, -2249, -3238, -4407?\nAnswer: -5756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -105. Let m(p) = -36*p - 70 + a. What is the hundreds digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.017, -1\/15 in decreasing order.\nAnswer: 0.1, 0.017, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28368 and 45888?\nAnswer: 27119808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2769 - -0.0231. Let c = -8 + 3. Sort c, 2\/5, k in decreasing order.\nAnswer: 2\/5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 587657 and 201992.\nAnswer: 789649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - 5*z. Let o(d) = -2*d**2 + d. Determine 6*o(y) + w(y).\nAnswer: -16*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -243 (b) -5 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 1878.\nAnswer: -25\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 10:24 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 435259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/85*(-5)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -6*t. Suppose -n = 3*n - 4. Suppose n = -w + 2. Solve a + t + w = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11*73\/((-401427)\/1551).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s**(-1)\/s)\/s)\/((s**5\/s)\/s))\/((s\/s**(-1\/6))\/(s*s**(-2\/9)*s)) assuming s is positive.\nAnswer: s**(-61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 29 = 4*q + 4*r, 4*q = r - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - 64\/(-6). Let g(r) = 2*r**2 + 5*r + 11. Suppose -4*c + 0*c = 32. Let q be g(c). Calculate the greatest common factor of q and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + -5 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*n + 787*n + 14*b = 2*b - 36, 0*n + 12 = 5*n - 4*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {p: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1856.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 50999.51 microseconds?\nAnswer: 50999510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 67 = -2*j, 0*j = -4*j + n + 143. Suppose 0 = 8*y - 11*y - 5*z + j, -5*y + 60 = 5*z. Solve 4*k - y = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 524327904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2255034 and 57378.\nAnswer: 164617482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134599529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbbgpbbbggpbbbbgppb. What is prob of picking 2 g and 2 b?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d**(-1\/4)*d*d)))\/d)\/(d*d*d**(-2)))\/(d\/((d\/(((d**(-1)\/d*d*d*d)\/d)\/d)*d)\/d))**(-8) assuming d is positive.\nAnswer: d**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24290, 48610, 72932, 97256?\n\"Answer: q**2 + 24317*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2208 = 121*a - 4815 - 842 for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by -82?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.87 - 0.13. Let u = 0.81 + 8.19. Let g = -9.2 + u. Which is the closest to 0? (a) g (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**4 - 9*b**4 - b**2 - 6*b + 6*b**4 as w*b**4 + g*b**2 + p*b + z*b**3 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 183 = c + 204, 17 - 2 = -5*c - 3*u for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*f + 4*u, f - 60*u + 1 = -55*u. Sort f, 22, -1.\nAnswer: f, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -25, -51, -77, -97, -105?\n\"Answer: m**3 - 9*m**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*4)**2*-5.\nAnswer: -19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -38, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 692 = 972. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-66) + 25850\/456. Let b = n + -227\/4. Let c = b + 769\/456. Calculate the common denominator of 55\/4 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 2369 - 2215 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 596*k\/7 - 44402\/7.\nAnswer: -2*(k - 149)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -59\/2. Let d = -156.6 + 35.6. Let u = d + 121.4. What is the third smallest value in 8, a, u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(2\/13)))**30*o**(-19)*o**(-14\/9) assuming o is positive.\nAnswer: o**(-2945\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 1. Let y = 3.96 + -0.16. Let h = y + -4. Do h and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 3. Let o be g(3). Let i = o - -32. What is the units digit of (i\/(-15))\/(2\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - q + 2, 2*z - 9*q = -4*q - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -194 + 335. Let a = c + -114. What is the highest common factor of a and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390597?\nAnswer: 3, 130199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -11\/9 (c) 9 (d) 1\/32 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53923516.1 rounded to the nearest 10000?\nAnswer: -53920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11201030 + 2?\nAnswer: -11201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 98 = -3*l + 10, 0 = -3*l - d + 120. Suppose 0*x + 5*v = x + 20, x + 16 = 4*v. Let n(t) = t + 14. What is the remainder when l is divided by n(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -659 - -659. Suppose -l - 2 = -4*l - 4*f, 2*l = -5*f - 8. Sort -5, l, x, 1 in decreasing order.\nAnswer: l, 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x - 27 - 21 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 9. Let c be j(-10). Suppose -5*d = -v - 6 - 26, 3*v = 5*d - 26. Suppose -d*k + 2*k = 40. Put 4, c, k in decreasing order.\nAnswer: 4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15594 by 6.\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3824 + 3828. Let k(d) be the first derivative of 14 + 5\/4*d**h + 0*d**3 + 21*d**2 + 0*d. Find the second derivative of k(o) wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000369276 rounded to 7 dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48 + -1d3?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 9*m - 4. Let f be s(-8). Suppose 0 = 2*c + f, -c = h + 4*h - 18. What is the second derivative of -2*i - i**h + 3*i**2 - 3*i**2 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10450 - 5383. What are the prime factors of v?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g - 8 - 3 + 11 as d*g + l and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -31 - (-1 + -6) - 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -9. Suppose -i + 13 = -4*q. Are q and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*m - 30*d + 2247*m with respect to d.\nAnswer: m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/9))**(6\/19)*(t\/t**(-4\/7))**41)**27 assuming t is positive.\nAnswer: t**(232371\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 12 = f - 5*n, n + 12 = 4*f. Suppose -2*o + 4*o - 2*q - 8 = 0, f*q = -3*o + 12. Put 0, 0.5, o in increasing order.\nAnswer: 0, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5180453195\/34 + 152341543. Let y = w + 24730. What is the common denominator of -11\/14 and y?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5717 - 5737. Put 41, f, 0 in descending order.\nAnswer: 41, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9652074*q + 12093845?\nAnswer: 9652074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7 + 13*k**2 - 5 + 60 + 56*k. Let f(v) = 177 + 28*v - 61 - 92 + 6*v**2. Let o(d) = -5*f(d) + 2*r(d). Solve o(j) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242624502 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shsh when four letters picked without replacement from {e: 2, h: 3, s: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183186418523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 191*c - 64*c - 14*c + 9075 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 3*r - 9. Let h be p(11). Let s = h + 602. Suppose -s = -7*w + 1583. What are the prime factors of w?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -454*m**2 + 328*m - 7. Let y(v) = 455*v**2 - 329*v + 5. Let u(z) = -2*x(z) - 3*y(z). What is the second derivative of u(n) wrt n?\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4, 4*s - 6 = 3*n - 4*n. Solve -3*g + 3*w - 3 - 3 = 0, -s*g - 3*w = -6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693300736\/5 at least as big as 138660147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/7 + 6398\/(-490) + 24?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 360 = -8*q. Let r = -217\/6 + q. Which is the closest to -3\/5? (a) r (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 4.7. Let x(k) = -2*k + 16. Let o be x(8). What is the smallest value in o, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a - 62. Let h = 11 - 7. Suppose -h = -u - u. Calculate the smallest common multiple of x(-13) and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r - 4 = 0. Solve -4*n + 25 - 8 = f, -n - r = -5*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrx. What is prob of picking 1 r and 1 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + 596*(-106)\/424.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 5, 355, -3, -323 in increasing order.\nAnswer: -323, -3, 5, 82, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10489, -41194, -92371, -164020, -256141?\nAnswer: -368734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/45 and 113\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*1*(sqrt(1584) - (sqrt(1584) - (sqrt(1584) - 3*(sqrt(1584) + -2 + sqrt(1584)))**2)).\nAnswer: -1440*sqrt(11) + 79274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2002490280 and 7112?\nAnswer: 7112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-36)\/(-27))*(-8)\/24*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.25961 and 3330.\nAnswer: -864.5013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14947 divided by 14947\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/12 - y**3\/2 - 3*y**2\/2 + 1. Let x(z) be the second derivative of w(z). Determine x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-2)\/(-6))\/((-13)\/13)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 3843.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105709, 211337, 316965?\nAnswer: 422593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c**2 + 11. Let p(y) = 3*y - 3*y - 56 + 52 - 6*y**2. What is -4*l(t) - 11*p(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 18*l - 19. Let x = 25 + -44. Let b be v(x). Suppose -4*w + 2*h - 11 + 177 = b, 3*w + 5*h = 131. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-24))\/((-17)\/153))\/(129\/(-989))?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 1, f: 1, o: 1, r: 1, m: 10}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19 - 42\/(8 + -14). Let j(b) be the first derivative of -t - b + 7\/2*b**2. Give j(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/7 - 16353*g\/7 - 601620 = 0 for g.\nAnswer: -5180, -271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 34 - 153 + 44 + 39 + 498*k.\nAnswer: 498*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:43 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1044319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 1)*3*(-2)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 720*j**3*q**3 + 4*j**3*q**2 + 2*j**2 - j*q**2 wrt q.\nAnswer: 4320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*l - 30, -4*l - 88 = -108 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Suppose -5*k + 3*u + 102 = i, -4*k = k - 5*u - 100. Solve -k = j + 4*b, -7*j - b = -2*j + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/6))**(40\/7)\/((c*c**(-1\/3))\/c)**(-6) assuming c is positive.\nAnswer: c**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.1. Let f be (-216)\/288*(-4)\/(-3). Which is the nearest to l? (a) 1 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 23. Let s be h(-7). Suppose g = -s*j - 3*g + 70, -5*j = -3*g - 105. What is the remainder when 51 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 3*r. Suppose 0 = -u - r + 25. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3\/88 (b) -15 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4451575 and 2050?\nAnswer: 8903150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 18*w - 69. Suppose 9 + w = 4*a - 4*y, 0 = -2*a - 2*y - 4. Let l = -7 + 2. Sort 5, 3, a, l in increasing order.\nAnswer: l, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = 0, 5*s + 0*s + 55 = 5*l. Let b(h) = -2 + h**3 - 2 - 11*h - l*h**2 + 3 + 17*h. Determine b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 - -3) - (-23 + 28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49687?\nAnswer: 11, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(75) + -1 + (sqrt(75) - (4 + -1 + sqrt(75))) + -6*sqrt(12)\/(sqrt(64)*-6))**2.\nAnswer: 38*sqrt(3) + 1339\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 26 = -2*h, 4*i + 0*i - 18 = 3*h. Let a(x) = 4*x - 1. Let j(l) = 5*l. Calculate i*a(f) - 5*j(f).\nAnswer: -f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 283 = x - 82, 2*v - 355 = x. What is the greatest common factor of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16812*f + 16801*f + 169 - 6*f**2 - 33614*f in the form i + h*f + r*f**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7513746 to the power of 1\/2, to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 26.5467?\nAnswer: -26.1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 400*j**3 - 22*j**3 - 40*j**3 + j**2.\nAnswer: -462*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110011101110 (base 2) to base 14\nAnswer: -12c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -9 - 30. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*r - 35*r - 85 - 167 = 0. Solve -5*c + 113 = 2*v + 93, 4*c + 7 = r*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 16*z = -216. Let y be (-6)\/z + 480\/1350. Find v, given that -y*v**3 + 2\/15*v**2 + 4\/15*v + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*1\/3*3. Suppose 0 = -3*d + c, s - 2*d + 3*d = 27. Suppose -4*i = -6*i + s. Calculate the greatest common factor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10484167 - 5.\nAnswer: -10484172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + (0 - -1)\/((-6)\/(-7692)).\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1\/4*k**2 - 3\/4*k - 5 + 1\/12*k**3. Determine u so that f(u) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 2*d - 7. Determine r(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 153105 (base 8) to base 15\nAnswer: 113bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -113*j**2 - j - 3. Let h be a(-1). Let m = h + 122. Solve -m*z + 9*z = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 494 = 3*u - 2*l, 499 = 3*u - l. Calculate the remainder when u is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417828118?\nAnswer: 2, 208914059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/4 - 886*l**3 - 7085*l**2\/4 - 1771*l\/2 = 0. What is l?\nAnswer: -3542, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 0. Let c(t) = 5*t + 5 + z - 2. Does 18 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h + 50. Let r be q(2). Calculate the greatest common divisor of r and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1460257.1?\nAnswer: -1460257.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k + 4*a, -3*k + a - 5*a = 2. Let n(t) = -t**2 - 6*t + 3*t**k - 3 + t + t**3. Give n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.13.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -114. Solve 4 = 3*y - r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 - 13 = -2*b, 4*u = 4*b - 36. Suppose -z + b*z - 200 = 0. Find the third derivative of 54*g**4 - 30*g**4 + 9*g**2 - z*g**2 wrt g.\nAnswer: 576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2092073 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 11, k: 2, i: 1, h: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1411 - -1376182\nAnswer: 1374771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1086 and 45.\nAnswer: 16290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-35))\/(45\/15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4983 and 594627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39456081 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - r**5 + 4*r**5 + 0*r**5 - 2*r**5 + r**5 + (-3*r**3 - r**3 + 2*r**3)*(-2*r**2 - r**2 + r**2) + (4*r**3 + 676*r - 676*r + 35*r**5)*(-1 - 1 + 0).\nAnswer: -66*r**5 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 not equal to 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -i - 4*i + 15, -i + 3 = -5*g. Let q(z) be the third derivative of z**4\/24 + 2*z**2. What are the prime factors of q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/913, -0.12, 4, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.496 - 0.596. What is the third smallest value in -0.4, a, -0.51, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.345 rounded to one decimal place?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -20*u - 18. Let v be 184\/(-24) - (-1)\/(-3). Let x(d) = -7*d - 6. Let b(f) = v*x(f) + 3*a(f). What is the first derivative of b(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - 2) + -14 + 30\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33543631 (base 7) to base 13.\nAnswer: -7b2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + k = 46, 2*c - k + 11 = -8. Suppose 5*r = -6 - 94. Does 5 divide (c - -8)\/(2\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3672)\/(-14) + 44\/(-154).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 28, 64, 114, 178, 256, 348?\n\"Answer: 7*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5510 + -5214?\nAnswer: -15124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/7)\/(g*g**(-3\/8))*((g\/(((g**4\/g)\/g)\/g*g*g))\/g*g)**35 assuming g is positive.\nAnswer: g**(-3987\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 + 8*x + 99 - 219 + (-3 + 3 - 1)*(-2 + 2 - x).\nAnswer: 9*x - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2975, -5933, -8903, -11891, -14903, -17945, -21023, -24143?\n\"Answer: -a**3 - 2951*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*sqrt(28)\/sqrt(4).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*q = -173*q + 14. Suppose 15 = 5*b + 5*w, -25*b - 2*w - q = -27*b. Solve b*l - 2*l - 6 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-1\/22)*v)*v*v*v**(-33)*v*v*v assuming v is positive.\nAnswer: v**(-615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-804.3478\nAnswer: 241.30434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*j + 137, -2*q + 5*j + 131 = -4*q. Let r = -109 - q. Let n = 40 + r. Solve -3*t + n*s - 3 = 0, t = 4*t + s + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 32*c - 34. What is the hundreds digit of w(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6718815 is divided by 671874.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 + (-405)\/(-20))*(2 - 3452\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = 2*s. Which is smaller: s or -10\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1 + m**3 + 3*m - 2*m - 3 - m**2 - 3*m. What are the prime factors of h(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose -26 = -a*r + 7. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -422 - -7172\/17. Let o be ((0 + 0)\/2)\/(-1). Let t be ((-6)\/9)\/((-28)\/(-12)). Which is the closest to o? (a) t (b) -2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i + 42*i + 28 = -3*y, 5*i - 4*y + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-619 - 351 - 378)*(-3*n**3 + 6 - 6).\nAnswer: 4044*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 85 - (9177 + -9003).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Suppose 3*b = 4 + u. Suppose 4*l + b*z = 354, 3*z + z + 75 = l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2418336 and 540.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -10.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*q + 26 + 25 = 0, -5 = -q. Let a be (-4)\/(-6)*-3 - u. Suppose 0*v = v - a. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, -4\/7, -2.2, -3\/17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17301 is divided by 570.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2906068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100 + -10?\nAnswer: 11111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -2*i - 6. Let g be (-8)\/i - (-203)\/4. Suppose 0 = 2*a + 4*w - 30, 4*a + 4*w - g = 5*w. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c - 11*c**3 + 7*c**2 - 2*c**2 - 7 + 18*c. Let u(o) = 5*o + 10731773*o**2 - 3 - 10731771*o**2 - 4*o**3 - o**3. Calculate 3*f(h) - 7*u(h).\nAnswer: 2*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 - -485. What is the highest common divisor of 384 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 i when three letters picked without replacement from hllillhi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 606\/(-75) + -43 + 51. Which is the nearest to 1? (a) p (b) 4 (c) 2\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 975 - 975.4. What is the second smallest value in -3\/11, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*(-10)\/(-8))\/((-4)\/(-8)). Let a = 5 - 2. Let x(v) = -v**2 + 2*v - 1. Let l be x(a). Sort l, 4, o.\nAnswer: o, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 31*m - 2 + 2*m**2 + 1 - 43*m as k + h*m**2 + c*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -155.3 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -116.\nAnswer: -31\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 5. Let m(b) = -b + 1. Suppose -d = 3*d - 40. Let l(c) = d*m(c) + 2*q(c). Let v(a) be the second derivative of a**4\/6 - 4*a. Calculate l(v(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 29*o**2 + 118*o + 9. List the prime factors of b(4).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1849715610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.79 - -0.21. Let b = u - 9. Is 1\/3 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/5 (b) -56 (c) 3\/4 (d) 1\/2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18937.9 minus -5?\nAnswer: 18942.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1504417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 22. Let v be l(-8). Let t(d) = d**3 - 3*d**2 - 2*d + 2. Let u(p) = -3*p**3 + 7*p**2 + 5*p - 5. Give v*t(k) - 6*u(k).\nAnswer: 4*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4)*(-74)\/148\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q - 1. Let a(g) = 8*g**3 - 56*g - 56. What is 2*a(u) - 112*l(u)?\nAnswer: 128*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 456*x.\nAnswer: 3*x*(x - 304)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3 and 1070\/115 + -6 - 1.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.96 - -1. Let a = 7.96 + t. Let w = a - 8.0000006. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 5. Let j(u) = -5*u**2 + 10. Let h = -14 + 20. Let w(v) = h*j(v) + 11*n(v). What is the first derivative of w(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 30. Suppose m = -0*j + 4*j + 3*f - 1446, -3*f - 1434 = -4*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356, -716, -1080, -1448, -1820, -2196, -2576?\nAnswer: -2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - s = -16, 0 = 5*l - 5*s - 76 + 16. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/5 - 4\/10. Suppose 12 = 4*q - 2*d, 3*q - m*d - 14 = -0*q. Solve q*h - 4*x = 2, -6*h + 3*h - 4*x = -23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:41 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931 + -20.\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/3)*x\/x**(-1\/8))**(-9) assuming x is positive.\nAnswer: x**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 27*i**3\/8 - 51*i**2\/4 - 87*i\/2 - 9 = 0?\nAnswer: -2, -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -12*g**3 - g**2 - g + 72. Let o(w) = 14*w**3 + 2*w**2 + w - 87. Let p(a) = 6*d(a) + 5*o(a). Calculate p(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1479691189.\nAnswer: 41, 43, 839303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-72)\/(-6))*-2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 47*j - 103. Let n be k(21). Suppose -5*h + z = -119, -n*h - 6*z + 3*z = -51. What is the remainder when 98 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**2 - 3*r + 11. Let q(u) = 3*u**2 + u - 5. What is -2*b(s) - 5*q(s)?\nAnswer: -s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -247. Suppose 32 = -5*f + 5*t + 107, 3*t = 4*f - 58. Calculate the remainder when p is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4, 0.01962, 39, 1.3 in descending order.\nAnswer: 39, 4, 1.3, 1\/5, 0.01962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let c(j) be the first derivative of 1\/2*j**3 - j + 2 + 0*j**2. Let t(h) be the first derivative of c(h). Calculate p(t(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose -2*k = -4*w - 2, 0 = 4*w - 6*k + 2*k + 12. Suppose -o*f = w*u - 10, -3 = -u + 5*f + 2. What is the remainder when 34 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -4) + 18\/(-8). Let h = 5\/14 + -43\/42. What is the closest to -0.1 in y, h, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by (0 - (-9)\/(-2))*(5 + -13).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*l - 30. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401802 divided by 6?\nAnswer: 66967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 8*p**3 + 5*p.\nAnswer: -8*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 52769128 = 229569128. What is n rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6893*f. Let d(p) be the first derivative of -p**2\/2 - 1351. Calculate d(v(c)).\nAnswer: 6893*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = -k - 152, 471478*b + 120 = -3*k + 471473*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 4. Let r = 17 - 15. Let x(j) = 3*j**2 + 2*j**2 + 5*j**r - 35 + 0*j**2. Let h(k) = -35*s(k) + 4*x(k). Let u(q) = 6*q**2. Determine h(u(c)).\nAnswer: 180*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310*(-42)\/72*-6.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3841629?\nAnswer: 3, 11, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i)**(-3\/14)\/(i**(-2)\/i**(-1\/2)))\/((i**(-4\/7)*i*i**(-1\/5)\/i)\/(i\/i**(-1\/4)*i\/i**(-1))) assuming i is positive.\nAnswer: i**(713\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 + 4 + 14 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-4)\/51) - 302\/1208.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7 = -53. Calculate the greatest common divisor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (((1*sqrt(425))**2 - sqrt(425))*1 - (5 + sqrt(425) + (sqrt(425) + 0)**2)) + 1.\nAnswer: -10*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/105 + -44\/105. Which is the nearest to w? (a) -4 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 11*w + 11. Let a be i(4). Suppose 0 = a*g - 12*g - 12. What is the smallest value in g, 12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154.93 times -5\nAnswer: -774.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 69 (b) -6 (c) 1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**2 + 768*w + 36864 = 0.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, 1\/35, -12 in decreasing order.\nAnswer: 2, 1\/35, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 6) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 30. Let a = -1 + -8. Let j be b(a). Let q = j + 48. Sort q, -15, -1\/3 in increasing order.\nAnswer: -15, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -28*j**2 + 9. Let o(d) = 12*d**2 + 15*d**2 + 9*d - 10 - 9*d. Let m(s) = -5*o(s) - 6*z(s). Differentiate m(t) with respect to t.\nAnswer: 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/7 - 1)\/(48\/(-168)). Suppose -3*h - g + 91 = -168, j*h = -3*g + 175. Calculate the remainder when h is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16020.406 rounded to the nearest 10?\nAnswer: -16020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {h: 2, w: 1, f: 1, q: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011101011100001 (base 2) to base 16.\nAnswer: 1bae1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 2, m: 1, j: 1}. Give prob of picking 1 f and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124508 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 4. Suppose 2*w + 2 = l + 6, 2*l - 1 = w. Let y be r(w). Let p be y\/(-5) - 8256\/(-15). Round p to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:04 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 6*i**2 + 8 + (-i - 4*i + 6*i)*(-1 + 2*i + 1) + 2*i**2 + 2*i - 2*i + i**2 - 4*i**2 + i**2 + 4*i**2 - 3*i**2 - 2*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = k - 24, s - 8*k = -9*k + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 3*d - 6*d)*(-2*d**2 - 2*d + 2*d) + (-2*d + 0 + 0)*(4*d**2 + 4 - 4) + (5*d + 0*d - 4*d)*(2*d**2 - 6*d**2 + d**2) - d**3 - d**3 - d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 21*f**3 + 9*f**3 + 3 + 19*f**3 + 0. Let d(y) = -20*y**3 + 8*y**2 - 8. Let c(a) = 3*a - 2. Let x be c(-2). Give x*b(q) - 3*d(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2. Let d(r) = -9*r**2 + 1460*r + 2. What is d(g(y))?\nAnswer: -36*y**4 - 2920*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -135809388 divided by -5382\nAnswer: 25234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 186 - 266 = 0. Let p(v) = -226 + r + 2*v**2. Let i(h) be the second derivative of 17*h**3\/6 - h**2 + 2*h. Give p(i(y)).\nAnswer: 578*y**2 - 136*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*b**2 + 12*b**2 - 197*b**2.\nAnswer: -303*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-36))\/(1\/(-45)). Suppose 0*u + l = 3*u. Let y = 38 - 35. Solve k = u - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*s + b + 834, s - b - 413 = 0. Let q = s - 411. Factor 18*m**2 - 8*m**3 - 11\/2*m - 32*m**q + 1\/2.\nAnswer: -(m + 1)*(4*m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6 + 7*a - 10 + 11. Let d(p) = -10*p - 10. Calculate -5*d(m) - 7*k(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256 - 15. Suppose 0 = 5*i - 369 - p. Suppose 0 = c - 4*c + g + 86, 4*c - 5*g - i = 0. Solve -3*k - c = k + 4*r, 0 = r + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 594?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -9528 and -24363529.\nAnswer: -24373057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3823399 is divided by 304.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1232 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 53. Let k = 58 + t. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 821.94, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 409*t**4 + 19*t**3 - 114*t**2 + t - 17 wrt t?\nAnswer: 9816*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeoowkzeozwwwoike. Give prob of sequence wi.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -398?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1525314720 divided by 3.\nAnswer: -508438240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7052652, 1 in increasing order.\nAnswer: -7052652, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 4. Let c(k) be the third derivative of 1\/30*k**5 + 0*k + 2*k**2 - 5\/6*k**3 + 0 - 1\/12*k**4. Determine -3*c(q) - 4*r(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 13*a**2 - 25*a - 32. Let d be l(-10). Let r = d - -353. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/580 and 43\/870.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.06685 to three decimal places.\nAnswer: 1.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**7\/3780 - i**6\/540 + i**5\/270 + 11*i**3\/3 + 9. Let f(k) be the third derivative of l(k). Factor f(m).\nAnswer: 2*m*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97594853925*l**2 + 237*l**3 + 77*l**3 + 97594853925*l**2.\nAnswer: 314*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*g - 1, 5*x - 766*g + 37 = -763*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -243 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 318\/(-265)*10\/6. Let u = 9 - 5. What is the closest to z in -0.4, u, 4\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y**3 + y. Let q be h(-1). Let c(m) = 110*m**2 - m - 1. Let d be c(-1). Suppose -22 + d = v. Calculate the greatest common factor of v and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2795363352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -32*v - 10. Let m be s(-7). What is the common denominator of 25\/6 and -3 + 0\/(-4) - m\/(-40)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137.9 - -138. Let j = -9.9 + 11. Let r = 1.4 - j. What is the nearest to r in c, -0.4, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 7 + (-2 - -16). Suppose -5*u = -10*u + 10. Calculate the highest common divisor of w and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6582 or 165?\nAnswer: -6582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a - 9. What is w(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 13 - 143 + 130.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2 + 3))\/((-2)\/10). Suppose 2*h - h = p. Suppose 2*g = h*g - 60. Calculate the smallest common multiple of 4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 45. What is u(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 10*j - 13. Let s be c(8). Let a(b) be the second derivative of 0 - 2*b**2 + 2*b + 2*b**s - 1\/30*b**6 + 3\/10*b**5 - 13\/12*b**4. Factor a(r).\nAnswer: -(r - 2)**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let z be (3 - 1)*(a + 0). Does 14 divide (-3)\/((z\/12)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251752304 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0)*(5 + 0). Suppose 2*w = 4*w - 2. Does 5 divide ((-2)\/(-2))\/(w\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (255\/((-22185)\/174))\/((-52)\/(-3))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 421072501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.06 (c) 62 (d) -0.1 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*x = 130, 4*x - 7 = -11. Calculate the greatest common factor of 48 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of (-113643)\/(-23)*(-12)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 7*x**2 + 6*x + 10. Let v(z) = -z - 2. What is the lowest common multiple of v(-8) and g(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l - 9*l - 8*l + 27*l - l**2. Let r(y) = -1. Give -d(i) - 3*r(i).\nAnswer: i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 0.5, -3\/5, 40781?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let y be 18\/(-4)*20\/(-15). Let n(m) = y - 18*m + 62*m - 27*m. Let b(l) = -l - 1. Let k(a) = -4*b(a) - n(a). What is k(w(v))?\nAnswer: 26*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -5*p. Suppose -p*y = -3*y - 82. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 123*m - 1. Let h be s(0). Which is the fourth biggest value? (a) -3 (b) -3\/7 (c) 1 (d) h (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00154446548 rounded to six dps?\nAnswer: -0.001544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5769 in 2, -0.01, -0.098?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 3, 0, -3, -6, -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/7 - 5864568*s + 82103964\/7 = 0. Calculate s.\nAnswer: -13683994, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43864533 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473, 918, 1365, 1814?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/18168 and 101\/2825124?\nAnswer: 5650248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565942 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000403213 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -620752, -620754, -620758, -620764, -620772?\n\"Answer: -k**2 + k - 620752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**4\/24 + y**3\/3 - 11*y**2. Let b = 11 + -17. List the prime factors of v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 a factor of 40552512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = 30. Suppose -2*a = 3*a + 5*y - 10, y + t = 2*a. Let w = 8 + a. Calculate the greatest common divisor of 96 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29881, 29882, 29885, 29890?\nAnswer: 29897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20\/7, 3, 13?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-46)\/69*4\/(-536)*6\/2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5280.98 + 5281. What is the second smallest value in 82\/7, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58398*j = 58371*j. Solve j = -5*k + 4*n + 9, -55*n = -52*n + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(39)\/(sqrt(15)\/sqrt(5))) + -3 + sqrt(65)\/sqrt(5))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13071 is divided by 12915?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**34\/u)\/(u*u*u**25)*u**26\/u*u**(18\/7)\/u)**(-15) assuming u is positive.\nAnswer: u**(-3525\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201202001 - -1121222?\nAnswer: -2200010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115278998 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/3 - 834*a**2. Let w(j) = j - 33. Give k(w(b)).\nAnswer: -8*b + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15766.2 - 15766. What is the nearest to -1 in -47, l, 0.5, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 74*i**3 + 6*i**2 + 2*i - 4. Let g(z) = -z**3 - z**2 + 1. Determine -6*g(v) - q(v).\nAnswer: -68*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = 5*d - 4213, 0 = 2*d - 5*w - 1696. Suppose 5*i = 5*f - 1045, 4*f + 2*i = -i + d. Suppose -5*v = -f - 35. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -75. Suppose 4*z = -0*z - 5*l + 84, 0 = z - 4*l. Is z at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5888612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*o + 4 = 0, 2*h - 5*h + 4*o = 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 4) in base 16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3735162 divided by -6\nAnswer: 622527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4882354?\nAnswer: 2, 19, 128483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 5:25 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 243726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/169 - -324\/1183. Let j be ((-8)\/(-6) - 0)*(-4)\/(-8). Sort -0.1, -5, j, q in descending order.\nAnswer: j, q, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47844 is divided by 2080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 2. Let g(o) = o + 1. Let h be g(t). Let z be (0 + h\/(-5))*-5. Solve -1 = -i - z, -s + 4*i = 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*y**2 + 19*y + 19*y + 21*y - 61*y.\nAnswer: -118*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350803749.\nAnswer: 131, 2371, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - x**2 + 10 - 4*x**3 - 2*x**3 - 17*x**2 + x - 14 in the form y*x**2 + v*x + o + l*x**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevvvqemqqeqq. What is prob of picking 2 e and 1 v?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16*s - 1574 = 12*s, 5*b - 3947 = -4*s. List the prime factors of b.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137.24 * 0.4\nAnswer: -54.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.8. Let q = -4.3 - 0.7. Which is the second smallest value? (a) 4 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, y: 7, u: 5}. What is prob of sequence yqu?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -15, 323.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5658*z + 9*r + 6*r - 1512 = -5659*z, 214 = -4*z + 2*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 6. Let b(j) = -21*j**3 + j + 1. Let u be b(-1). Let o = u + -30. Let a be h(o). Solve a*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:28 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84247.01 grams to nanograms.\nAnswer: 84247010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l + 3*l)*(2 - 2 + 2*l)*(-14*l**3 + 0*l**3 - 32*l**3).\nAnswer: -552*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/871 and 48\/143?\nAnswer: 9581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 134*s = 132*s + 56, s = 4*v - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 17. Let q be w(-7). Let s be q*4\/(11 - 3). Suppose -4*a = 3*v - 476, -v - 238 = -4*a + s*a. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:48 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 26 = -5*f, 7402*m - 7399*m + 4*f = -7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*n - 768*n + 372*n + 32268 = 0. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2786b (base 12) to base 8\nAnswer: -153023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.78097 millilitres to litres.\nAnswer: 0.07878097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:25 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -55 - 23 + 2*c**2 + 8 - 3 + 11. Let o(v) = -17*v**2. What is o(g(s))?\nAnswer: -68*s**4 + 4216*s**2 - 65348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 49*h**2 - 103*h + 233. Does 32 divide m(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = 0, 16*p - 3*y - 18 = 11*p. Suppose 5*m - g = 136, 5*g + 32 = m - 0*m. What is the greatest common divisor of p and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -721, -2727, -7311, -15769, -29397, -49491, -77347, -114261?\n\"Answer: -216*p**3 + 7*p**2 - 515*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.062 + 0.062. Let r = -10275 + 10274. Which is the nearest to r? (a) 0.3 (b) n (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 936*x**2 - 73008*x - 1898208.\nAnswer: -4*(x + 78)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26140 divided by 5?\nAnswer: -5228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/38656 and -87\/22348?\nAnswer: 1430272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*x - 10 = 240*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0 + 0 + 0 - 2*d + 0 + (2 - 3 + 3)*(0 - d + 0) + 2*d + 2*d - 3*d)*(-34210*d - 204*d**2 + 34210*d).\nAnswer: 408*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*x**2 - 4*x**5 + 17*x**2 - 2*x**5 + 0*x**5 + x**5 + (-1 + 1 - 1)*(x**5 + 3*x**2 - 3*x**2) - 3*x + 3*x - 2*x**5.\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1821184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-76272)\/(-252)*1\/2*(5 + 1) is divided by 69?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-8))\/((-2)\/(-119664)). Let q(y) = 134622*y - 54*y**2 - g*y - 2. Let d(s) = -2*s**2. Give d(q(b)).\nAnswer: -5832*b**4 - 432*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 - -1*20. Let c = 24 - g. Suppose -2*t - 3*k + 5 = 0, -2*k + c + 0 = 0. Is 2\/19 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588\/25 >= 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) 4 (d) -2\/205 (e) -1 (f) 127.6 (g) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/5 (c) -1081 (d) 0.8632 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 278*x**2 + 820*x + 544 = 0. Calculate x.\nAnswer: -136, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1169, -34.4, 2\/9?\nAnswer: -34.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 755*p\/3 - 754\/3.\nAnswer: -(p - 754)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1700)*-1*5)**2 - ((1*sqrt(153))**2 + 3 + 0).\nAnswer: 1062344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 127*a**2 - 64*a**2 - 67*a**2. Let c(h) = h**2 + 4*h. Calculate c(m(f)).\nAnswer: 16*f**4 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**3\/3 - m - 1. Let t = -2 - 0. Let w(n) = 7*n**2 + 2 - n - 4 - 4*n**2. Give t*p(z) + w(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, i: 1, n: 2, b: 8, y: 1}. What is prob of picking 1 b and 3 h?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:00 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000452 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23476 (base 13) to base 16.\nAnswer: fbe6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 71 = 167059*g - 167058*g, 3*o - 4*g + 38 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 4*v**2 + 4*v**2 + 12*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:39 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478*d + 471*d + 486*d - 1433*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 a when four letters picked without replacement from wwwawwwwwwwawaw?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c. Let y be (63\/(-12) - -3)\/((-2)\/(-8)). Let v(x) = 3*x - 4. Let b(g) = -7*g + 9. Let i(d) = y*v(d) - 4*b(d). Give i(a(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:40 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffyf when four letters picked without replacement from fffyfffffyffyfff.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/5 - (-1 + 1). What is the third derivative of -d**2 + 0*d**2 - 2*d**2 + 2*d**6 + 3*d**b wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 156, 527, 1122, 1941, 2984, 4251?\n\"Answer: 112*d**2 + 35*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 303735789 to the power of 1\/3, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, -1, 1, 1\/3.\nAnswer: -1, 2\/49, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/644 and -57\/736?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.006 - -2.984. Let z = -2.8 + u. What is z rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.3 + -26.4. Put -4, z, -0.4, 76 in ascending order.\nAnswer: -4, -0.4, z, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 572 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -1187 in descending order.\nAnswer: 6, 0, -1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27*n + 19 - n**2 + 27*n. Suppose b - 4*u = -20, -2*b = 3*b + 4*u - 20. What is the tens digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -54, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495 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: Four letters picked without replacement from puuvgqgvuuuuuubgp. Give prob of sequence vgvb.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64, -70, -96, -154, -256, -414, -640, -946?\n\"Answer: -2*s**3 + 2*s**2 + 2*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 5:49 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86905 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10872, 16739 in descending order.\nAnswer: 16739, 10872, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 586221705*k**2 - 75792514*k.\nAnswer: 1172443410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 40. What is d(-4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3\/16, 1, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 16 = 5*c + 5*t, -3*t + 15 = 3*c. Let a be (6 + -8)\/(c\/(-10)). Solve -a*g + 16*g = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 4, y: 5, i: 1, u: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*l = -568, 5*a - 5*l + 0*l - 750 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 + 0*x**2 + 0*x**2)*(-256*x - 342*x + 35*x) + x**2 - 2*x**3 - x**2 to the form i*x**3 + m*x**2 + q*x + w and give i.\nAnswer: -2254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 341423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 2. Let v(m) = 61*m + 72. Let t(n) = v(n) + 3*z(n). What is the derivative of t(y) wrt y?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, -81, -74, -67, -60, -53?\n\"Answer: 7*b - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -22\/21*f**7 - 16*f**2 + 1\/6*f**4 + 0 + 0*f**6 - 105*f + 0*f**5 + 0*f**3. What is the third derivative of h(c) wrt c?\nAnswer: -2640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-410)\/(-17) + 12\/(-102). What are the prime factors of ((-60)\/(-9))\/(2\/w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10197 + 12890. What is the remainder when y is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 33, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304 (base 5) to base 14.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r + 8. Calculate g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -4096647391.\nAnswer: -4096647391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m**5 - 204*m**4 + 555*m**3 - 336*m**2 = 0.\nAnswer: -16, 0, 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*q + 991, 2*q - 3*o - 650 - 335 = 0. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32900 + 32904. Let d(w) be the second derivative of -32*w - 1\/33*w**a + 0 + 1\/110*w**5 + 0*w**3 + 0*w**2. What is u in d(u) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -j + 7, 41*j + 14 = 40*j - 3*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92491733 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111001000 (base 2) in base 3?\nAnswer: 2000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-14)\/(1386\/(-165)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, 65394, -0.5, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/6, 0.17, 1.1, -20, 2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7*b - 3*b + 1099, -4*a = -2*b - 1482. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1203*y - 1170. Calculate m(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 2. Let v(w) = 6*w - 2. Let j(a) = -k(a) - v(a). Let i(g) = 21*g. Calculate i(j(r)).\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13488 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -2457.\nAnswer: 38\/2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*6\/90*9\/(-24)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - -98)\/((-174)\/4)*(-5)\/(-15).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5071*i - 680 = 5241*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/74 (b) 0.2 (c) -0.2 (d) -14 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 8:34 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - (-550)\/35. Suppose -p + 0*p - 31 = -4*i, 0 = 5*i + 4*p - 23. Suppose i*y - 3*y = r. What is the smallest common multiple of y and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(240)*-1)\/(-5*sqrt(10)\/sqrt(2) - sqrt(5)) + -3 + 1)**2.\nAnswer: -4*sqrt(3)\/3 + 7\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12886, 5.\nAnswer: -12886, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 100569178 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19726485 and 366.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 104\/17, 0, -31, 2\/15, -1\/3?\nAnswer: 104\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*i + 136 - 35*i**2 - 59*i - 114*i**2 wrt i?\nAnswer: -298*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582107 divided by -52.\nAnswer: -582107\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13706.\nAnswer: 2, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 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: Suppose 3*y - 4*l + 33 = 49, 0 = y + 5*l + 20. Solve g + 4*z = -7, y*g + 5*z = -3*g - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 20*g**4 + 332*g**3 - 110876*g**2 - 3845324*g + 1555848 = 0?\nAnswer: -49, 2\/5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((6210\/1196)\/(-45))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.5 - -18.50111. Round o to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -13*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 155*b**3 + 7*b - 309*b**3 + 4*b**2 + 154*b**3 to r*b**2 + c*b + w*b**3 + d*b**4 + u and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630023 minus 3.791978?\nAnswer: 630019.208022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 33*i - 5. Give a(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*f - 9*f. Suppose -2*p - 93 = -f*p. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/(-10))\/(3\/6). Let t(c) = h*c + 0*c + c**2 - 1 - 3*c. Suppose b + 30 = -4*b. Give t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**47*i*i*i**(-3)\/i*i**(-3\/5) assuming i is positive.\nAnswer: i**(-509\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -7\/12*w**4 + 1 - w - 7\/2*w**2 + 1\/20*w**5 + 5\/3*w**3. What is the remainder when c(6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:12 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -325, -306, -269, -208, -117, 10?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 - 1. Let f(r) = 2*r**3. Calculate 5*f(b) + 2*o(b).\nAnswer: 2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203032974 and 12?\nAnswer: 406065948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -991, -1193, -1465, -1831, -2315, -2941?\nAnswer: -3733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*i - 1708*i - 6069 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21090.6 rounded to the nearest one hundred?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.74 + 0.54. Let p = -0.7 - y. What is the nearest to 1 in -4, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -210, -179, -126, -45, 70, 225?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -33. What is the tens digit of -6 - 4\/r*345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133879\/10 + -13388. Which is the biggest value? (a) p (b) -3 (c) 0.34 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j**2. Let h(u) = -5*u. What is f(h(a))?\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-224245)\/(-7))\/5 - -1?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84563855 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: b\"What is the sth term of 985248, 1970531, 2955814, 3941097, 4926380?\n\"Answer: 985283*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*d - 140 = -103*d. Is 1316*-12*(-2)\/d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (4 + -2)) + (28 - (-31 - -51))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.39 - -0.11. What is the second smallest value in 0.1, -0.3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)\/(u\/(u\/u**(-3)))*u\/u**23*u**(-4\/19) assuming u is positive.\nAnswer: u**(-346\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*n**2 + 115*n - 115*n.\nAnswer: -146*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/14030338 and -151\/36006.\nAnswer: 42091014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 25 = 16*b - 5*s, -2*b = s - 37. Suppose -3*m - 2*r = -67, -2*r = 2*m + 3*r - 63. Find the first derivative of m*c + b*c - 30 - 10 wrt c.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 8*g**2 - 25*g + 80. Let z be d(10). Let y be (-3*(-20)\/(-75))\/((-6)\/z). Solve y*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/407884 and -25\/18107.\nAnswer: 7749796","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7767961 + 0.42.\nAnswer: -7767960.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151\/(-2) + (-266805)\/(-10890)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/78 and 37\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(53*u + 27*u - 10*u)*(3*u - u**2 + 4*u - 5*u)*(3 - 3 + 1) in the form k*u**3 + q*u**2 + f*u + r and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/66480 and 93\/10.\nAnswer: 66480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 655 = -0*w. Suppose 0 = -5*q - 0*q - w. Let z = q - -201. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382079 is divided by 138?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009786402 to 7 decimal places.\nAnswer: 0.0000979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -413, -1679, -3795, -6767, -10601, -15303, -20879?\n\"Answer: -b**3 - 419*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*k + 41 = 0, -y - y - 4*k = -52. Suppose -59 = 3*f - v, 0 = -3*f + 4*f - v + 23. Let i = -10 - f. Calculate the highest common factor of y and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(480)\/sqrt(6)*-4*-1 + (5*(0 + sqrt(1620))*5)**2.\nAnswer: 64*sqrt(5) + 1012500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18*m**2. Let i(k) = -2*k**3 + 16*k**2 + 18*k + 2. Let f be i(9). Let d(l) = l**2 - 5*l**2 + 0*l**f. What is d(w(p))?\nAnswer: -1296*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41936379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 58*y + 58. Let k be l(1). What is the third smallest value in 3, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 19*d**2 - 8*d + 89. Calculate the remainder when i(16) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let m = z + 19. Let r be (5 - (-19 + 3))*(-66)\/(-9). Calculate the highest common divisor of r and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*238\/357*(-9)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/726 and -173\/330.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:53 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1084 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10285 and 110.\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -62*g - 23. Suppose t = -5*q, 0 = t + 5*q - q - 3. Suppose t*f - 39 = -114. What is the tens digit of u(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1361 + -1360.645. Round h to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 38*g + 131. Let u be t(34). Let m(s) be the first derivative of -s**3\/3 - 3*s**2\/2 + 4*s - 51. Determine m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 474247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.1, -0.9, -9\/8?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21272, -21698, -22136, -22592, -23072, -23582, -24128, -24716?\nAnswer: -25352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 2*h**3 - 6*h**3 + 5*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41037 = -7972*v + 8660*v - 18819 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 48 = -0*t. Let g be (-1016)\/t + (-6)\/4. Suppose -5*f + g = l, l + 2*f - 230 = -3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/155 - 227\/2790. What is the fourth smallest value in 0.5, x, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -520\/497 - -4880\/6603. Let o = f - -2\/93. Let a = 2 + -2. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16238 from -6568381.4.\nAnswer: -6552143.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(1*11\/(-66))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 81*s**2 + 222*s + 144.\nAnswer: 3*(s + 1)*(s + 2)*(s + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = 2103 + 5632. Let v = w + 480. Is v less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2408 divided by -7?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + z + 16. What is s(4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s - 114. Determine r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.858 - 3.358. Let z = -0.3 + 0.1. Let p = 2 + -3. Sort p, -4, z, y.\nAnswer: -4, p, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 c, and 1 k when four letters picked without replacement from {l: 2, c: 3, k: 1, y: 1, t: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.648274us?\nAnswer: 0.000000006568965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191 and 6.\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.003651 - 83.935651. Let w = -84 - a. Let z = 8.1 + -8.2. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2162 - -2161. Let s be 3 - (-5)\/(-8)*6. Which is the smallest value? (a) s (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500630 is divided by 1203.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006233 is divided by 297?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/60)\/((-166)\/830). Determine t, given that -31\/4*t**2 + 31\/4*t**4 + 0 + 29\/4*t**5 - v*t - 27\/4*t**3 = 0.\nAnswer: -1, -2\/29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*w + 25 = 88, -2*a - w - 57 = 0. Let t be (a\/(-6))\/(5\/(-30)). Let x = t - -43. Solve -3*c - 2 + x = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4*k - 21 = 0. Suppose -g - 4*w = -338, 5*g - 8*w + k*w = 1753. What is the greatest common factor of 100 and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 165 + 4 + -3. Let q = p - -84. Suppose -4*y + 2847 = q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0988616, -2\/11, 42?\nAnswer: 0.0988616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13768692 divided by -21?\nAnswer: 655652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Suppose -2*h + 2*x = -3*x - 57, 4*x = 4*h - 96. Suppose 1 = 2*c + h. Let s be (-2)\/c + (-2)\/10. What is l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (1 - 0)*(5 + 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 5*c**3 + 4 - 4.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)\/h)**29\/(h**(-1)\/h)**(-17\/2))**(2\/43) assuming h is positive.\nAnswer: h**(-155\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 0) - (-10 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57152, -114304, -171456?\nAnswer: -228608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 42 + -2 + -2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*1*5 - sqrt(152)) + sqrt(152))*6)\/(-1*sqrt(32)\/sqrt(4) - (sqrt(8) - (-2*sqrt(128) - sqrt(128)))).\nAnswer: -15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let k(p) = 3*p - 9. Let w be k(6). Let t = w - 11. What is j(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1650070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11748.54mg to grams.\nAnswer: 11.74854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -2*d, -5*a + d + 84 = -a. Suppose 4*h = -0 + a. Solve 0 = h*s - 5 + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8*v = -30. Let n be (v\/(-3) - -1)*-27. Let a = 24 - n. Calculate the remainder when 9 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6*o + 3*o + 15, 3*o - 15 = -3*a. Let i = 685 + -652. Suppose -y = 4*c - i, y + 12 + a = c. Calculate the greatest common factor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -13631.\nAnswer: -5\/13631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/84)\/(195\/20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a37 - -3?\nAnswer: a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 432 + -432. Let b be (-102)\/(-12)*-2*1. Put b, -3, f in descending order.\nAnswer: f, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {g: 1, u: 2, s: 1, n: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7366*i - 7366*i - 449*i**3 - 638*i**3 + 120*i**3.\nAnswer: -967*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 91.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueueebebue. What is prob of picking 1 b, 1 e, and 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/24)\/((-652)\/(-8)). Let l = z + -1307\/1467. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (4 - 2))*(-8)\/(-8). Suppose -v = 0, 5*r = -2*v + 17 + 3. Suppose r*l = -8*h + 3*h - 20, -2*h = -3*l + 8. Sort y, -4, l in increasing order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + 1*sqrt(1300).\nAnswer: -8 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:24 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 4*x - 2. Suppose 16 = -4*v - 5*p - 0*p, -2*v - 10 = 2*p. Let d be 50\/(-18) - (-2)\/v. Let z be (-2 - -8)*(-2)\/d. What is j(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 4965.48196.\nAnswer: -4965.49196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Suppose 0 = -2*w - i + 22, -h*i + 49 = 5*w + 2*i. Suppose 128 - w = 5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 27. Suppose 0 = 10*r - f*r - 1. Let l(n) = -2*n - 8. Let u(y) = 1. What is r*l(d) + 6*u(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p + 30 = 71*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/14*18\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101001001001 (base 2) to base 14.\nAnswer: -10573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14547 + 14550. Let o = -2.7 - -3. What is the third biggest value in o, 0.5, -1\/3, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**5 - 95*v**4 + 182*v**4 - 94*v**4 + (0*v**2 - v**3 + 0*v**2)*(v - v - 2*v**2) - v - v**5 + v.\nAnswer: 6*v**5 - 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = -4*a. Suppose 4*t - 10 = -3*v, 2*t + 6*v - 2*v = 10. Let b be (-3*(6 + -4))\/(-2). Put t, a, b in descending order.\nAnswer: b, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 2 - 2. Let b(v) = -2*v**2 + v - 1. Let y(f) = -2*b(f) + 3*s(f). Let p be 0 + (-4 - -16) - 20\/5 - 5. Let q(n) = -1. Calculate p*q(g) + y(g).\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -542\/443 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 1868159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 4*m + 43. Let f(s) = 4*s**2 - 5*s - 42. Calculate -4*f(p) - 5*y(p).\nAnswer: -p**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 5. Let a(p) = -7*p - 41. Let n(m) = -a(m) + 5*q(m). Suppose -5*y - 35 = -0*y. Give n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 68*d**2 - 9*d - 207. What is b(-34)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:12 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 148*r**2 + 22*r - 514. Let h(z) = -147*z**2 - 18*z + 515. Let s(k) = -6*h(k) - 5*p(k). Differentiate s(d) wrt d.\nAnswer: 284*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-276)\/48 + 5 + 1. Let w = -0.1 + 1.1. Let j = w - 0.9. Sort s, j, 0.2 in increasing order.\nAnswer: j, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10 - k**2 + 22012705*k - 22012705*k. Let m(r) = 6*r**2 - 5*r - 5. Let o(z) = 7*z**2 - 6*z - 6. Let b(g) = -6*m(g) + 5*o(g). What is u(b(n))?\nAnswer: -n**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -5) + 2 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 0 - (-10)\/65 - 2013\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -172100 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose -i*u = 97 - 395. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14201\/25 - 568. Calculate the common denominator of j and 2\/10 + 176\/70.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -4, -2\/17, -3, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.469 + 0.411. Let s = 0.78 - z. Sort -9\/2, s, -2\/9, 0.3 in decreasing order.\nAnswer: 0.3, s, -2\/9, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 983268 and 2292.\nAnswer: 983268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -7*g + 9*g + 10, 2*g = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 16. Let s be h(12). Suppose -20904 = -s*u - 5*i, -u - 20888 = -5*u - i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 16. Let x = -398293 + 398397. What is the highest common divisor of b and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/14 - (-4)\/14. Let h(c) = c**2 - 7*c + 6. Calculate the remainder when 53 is divided by h(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**4 + 15*u**3 - 4*u**2 + 414*u - 4883. Let p(a) = a**4 + 19*a**3 - 5*a**2 + 412*a - 4885. Let c(x) = 5*j(x) - 4*p(x). Differentiate c(n) wrt n.\nAnswer: 4*n**3 - 3*n**2 + 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 + 726*u**2 - 5007*u - 453096 = 0 for u.\nAnswer: -21, 31, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3, j - 30*s = -37*s + 62. Which is the nearest to -2? (a) 0.3 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.16 - -52. Let j = w + 2.26. Let o(k) = -k**2 - 4*k - 1. Let h be o(-4). What is the closest to 0 in -4\/7, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 + 61 = 0. What is the smallest common multiple of (-38)\/(-6) - 4\/(-6) and 24\/s + 2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1093590 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2039631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaxa. Give prob of sequence aa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Let d(c) = 8*c + 4. Let n(q) = -d(q) + 5*j(q). Give n(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 + 4352?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 30. Let f be g(13). What is the remainder when -1 - (f - (-3 + -1)) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49915080731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -17, 2\/7, 2\/13, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6625788 decades to centuries.\nAnswer: 0.06625788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:26 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-22)\/(-88))\/(546\/(-14712)) - -7 and 5\/2743.\nAnswer: 19201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299 + -456. Which is the third biggest value? (a) 4 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t - 10*q - 65 = -52*t, -2*t - 2*q = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1525, 8999, 37581, 93251, 185039, 321975?\nAnswer: 513089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 60.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose r*a = 2*p + 102, p + 4*p + 255 = 5*a. What is p rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + i. Suppose 3*x = -x + 68. Let c = x - 18. Calculate f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -12*n + 4*n. Let q be (n - 1)\/(10\/(-5)). Solve 5 = -q*x - j, -4*x + 5*j - 19 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*4*-6 - (sqrt(175) - (2*sqrt(175)*5)**2).\nAnswer: -221*sqrt(7) + 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77893746 to the nearest integer?\nAnswer: 8826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*b + 11019 = -21033 + 6510 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -900?\nAnswer: 8d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -30*q**3 + 44*q**2 + 77*q - 2. Let y(w) = -15*w**3 + 23*w**2 + 39*w - 1. Let l(c) = -6*o(c) + 11*y(c). Is l(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.25 minus 0.89?\nAnswer: -3.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 275*p - 6996. What is y(26)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 3*s - 3.\nAnswer: -3*(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71344645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -1\/6 (c) 0.5 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -255*v + 247*v + 32. Suppose 6*a + v*i = a - 5, 3*i = -5*a. Solve a*d - j - 14 = 0, 3*d - 4*j = 22 + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:30 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 42*n + 43*n - 56.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 0. Solve p = -3*m + 2 + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-130)\/39*36\/(-30). Solve 3 = -2*j - 5*n - 8, a = -4*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*c + 9*c - 2*c**2)*(-203 + 203 - 4*c) to x*c**3 + z*c**2 + y*c + p and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -6*x**5\/25 - 9*x**4\/10 + 2*x**3\/5 + 9*x**2\/5 + 39. Let j(i) = 0. Calculate i.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 5*c + c + c**3 in the form u + i*c**2 + x*c + h*c**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 21*y - 187. Let u be p(9). Solve u*z = 3 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + p + 3*p + (12*p - 10*p + 3*p)*((1 + 1 - 3)*(5 - 3 - 3) + 139 - 38 + 21).\nAnswer: 617*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, -70\/3, 3, -34, -4 in decreasing order.\nAnswer: 3, -2.6, -4, -70\/3, -34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -4255159 (base 12) to base 5\nAnswer: -11203213013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3434.15 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:21 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**2\/b)*b**7)\/(b*b**1)**(-32) assuming b is positive.\nAnswer: b**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -25*a**3 - 287*a**2 + 17*a. Let d(r) = -9*r**3 - 96*r**2 + 6*r. Let b(w) = -17*d(w) + 6*p(w). Factor b(g).\nAnswer: 3*g**2*(g - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/60 - r**4\/24 + 10*r**3\/3 - 49*r**2. Let i be f(0). Suppose -3*s + 15 = 2*s. Solve -w + i = s*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 516, 2042, 4570, 8100, 12632, 18166, 24702?\n\"Answer: 501*g**2 + 23*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/42 + 24*j**3\/7 - 1296*j**2\/7 - 1636*j. Find h such that r(h) = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-18)*(8*(-18)\/144)\/((-126)\/24)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yssuunuqsqyu. What is prob of sequence uq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/2 - 19*l**4 + 51*l**3\/2 + 369*l**2 + 324*l = 0. Calculate l.\nAnswer: -3, -1, 0, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160154273\/5248362 + 26570\/4309. Let i be 9\/(63\/2) - (-6)\/(-58). Let w = t + i. Calculate the common denominator of -45\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a. Let g = 3 + -2. Let w(l) = 6*l - 17*l**2 - 7*l**3 + 29 + 16*l**2 - 3*l**3 - 27. What is g*w(n) + 6*z(n)?\nAnswer: -4*n**3 - n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 + 2 = 0. Let u = -8.6 + 8.8. What is the closest to y in -0.1, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j + 3*j - 35 + 16 - 57*j + 4*j to the form f + w*j and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b - 24913 = 40427. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 y when four letters picked without replacement from flyyffyf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.453 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -13, -765, 40?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234612.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 2.9854?\nAnswer: 0.29854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(114\/12 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1296, 2599, 3902, 5205?\n\"Answer: 1303*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377981960?\nAnswer: 2, 5, 9449549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbulmumluuuuuuuulb. What is prob of picking 2 u and 1 l?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*u + 1 = 0, -4*c + 2*u = -2*u + 4. Let v(l) = -l**3 - 4*l**2 + l - 1. Let o be v(-4). Sort o, c, -2.\nAnswer: o, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 68, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -2936 (b) -3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -957.4 - -957. Let l = -3 + 2.3. Let r = l + -0.3. What is the fourth biggest value in r, -3, b, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 - 27*i - 30 = 0 for i.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1618434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -914 + 914.0667. What is d rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyyyyyyyyyyyyy. What is prob of sequence yydy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 111001111111100000110?\nAnswer: 111001111111100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:21 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.56 + -1.92. Round c to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/(265\/(-795)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:27 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072 times -5?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 - 70*x**2 - 14119 + 34*x**2 + 14119.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55450600 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-10)\/3)*(-305)\/183*-28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/509896 or 1?\nAnswer: -123\/509896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.275*-0.14.\nAnswer: 0.4585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 + -92. Let m be ((-18)\/(-21) + 0)\/(15\/r). Solve -j + 4*o - 11 = 6*o, -m*j + 2*o = -6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (-1*sqrt(432) - sqrt(432))*5) - 6*6*(-2 + sqrt(432))*-4)**2.\nAnswer: -763344*sqrt(3) + 5692113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 332 - 225. Suppose 2*c - b = 253. Suppose -3*s = -213 - c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 - 2*a**2 + 8*a + 7. Let i(b) = 9*b**3 - b**2 + 8*b + 9. Let k(y) = 4*i(y) - 5*o(y). Calculate k(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534 by -3.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1.68\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:41 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.664592 micrometers in nanometers?\nAnswer: 664.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -6*f**2 - f + 1. Let h be (6\/15)\/(29\/145). Give l(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5834 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5 + 8*l**4 + 8*l**3 - 26*l**2 - 9*l + 18 = 0.\nAnswer: -6, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -37.87?\nAnswer: 416.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 775 - 250 = 0. Let a(x) = 16*x - 296. Is a(p) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355642 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmhgpmhmgk. Give prob of sequence hp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 46172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 16*k + 13. Let x be u(15). Let h(s) = s + 13. Let d be h(-9). List the prime factors of 14*(-2)\/d*x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/60 - v**4\/4 - v**3 + 3*v. Let d(l) be the second derivative of x(l). Give d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 + -178. Solve -8*q + d = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142429 + 484111 = 20*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259495, 259583, 259731, 259939, 260207, 260535, 260923?\nAnswer: 261371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83100?\nAnswer: 2, 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216125 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*p - 54818 = 44*p + 28*p - 16018 for p.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -20. Solve 0 = l*p - 4*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 61678?\nAnswer: 246712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 4:29 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -151, -177, -185, -169, -123, -41, 83?\n\"Answer: n**3 + 3*n**2 - 42*n - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 1, z: 1, e: 5}. Give prob of sequence rz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1881*o**3 + 3756*o**2 - 1869*o - 6 = 0?\nAnswer: -2\/627, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-170) - (-100)\/(-850)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 80465?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -263. Let r = -123 + q. Let b be -3*(1 - 0) - 0. Sort b, 13, r in decreasing order.\nAnswer: 13, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*4\/27)\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9) + -51*5\/(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.029 in 0.05, 5, -5\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*i = 81, -2*i - 370 + 442 = 4*p. Solve p = -0*s + s + 5*m, -3*m = 5*s + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101977627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149480?\nAnswer: 2, 5, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157542410 + -15?\nAnswer: 157542373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d - 3*n - 138, 4*n + 58 = d. Let j be (2\/(-3))\/((-14)\/d). Solve 0 = -c - 0*k - j*k, -c = -2*k + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 499369420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -7*l + 2*l. Suppose 0 = 4*x - f - 48, -f - 60 = 4*x - l*x. Suppose -3 + x*k**2 - k**5 + 3 + 0 - 4*k + 6*k**4 - 13*k**3 = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42, 3, -0.03423, -103?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 767777243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 13. Let m be (5 - 6) + 4 + v. List the prime factors of 1\/m + 319\/22.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223492 is divided by 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643058907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16448 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 9. Let x(d) = 5*d**3 + 3*d**2 - 3*d + 6. Let f(r) = -6*r**3 - 2*r**2 + 2*r - 7. Let i(c) = u*f(c) - 7*x(c). Determine i(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*m - 335*f**3 + 9865*f**2*m - 2*f**2 - 3*f*m + 54871001*f wrt f.\nAnswer: -6*f*m - 2010*f + 19730*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-9) - 8\/(-36). Suppose 235 = 4*x - b*n - 283, 523 = 4*x - 3*n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:37 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p - 19 = -59 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) - sqrt(63)*-2).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -4*g - 89. What is the remainder when 417 is divided by g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 - 7*b - 7. Suppose 13 + 12 = 5*h. Suppose -h*x + 14 = -1. Suppose 4*v + 24 = -4*u, 3*v - x*u = -u - 13. Give g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*q**5*y**2 + 30*q**3 + 12*q + 10*y**2 wrt q?\nAnswer: -440*q**3*y**2 + 180*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21666, 43346, 65022, 86694, 108362, 130026?\n\"Answer: -2*i**2 + 21686*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 1. Let t be z(-4). Let p(i) = 3*i + 12. What is the remainder when p(5) is divided by t\/2*8\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 18 = 10. What is the least common multiple of 32 and (r - -4) + 5\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5904*f**3*u**2 - 2*f**3 + 2*f**2 + 610*f*u**3 + 2796659 wrt u.\nAnswer: 11808*f**3*u + 1830*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 2, b: 8}. Give prob of picking 2 o and 1 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -0.018 (c) 128 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 - 7*y**2 + 6*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/19)\/i*i*i**(-14)\/i)\/(i*i**14*i**4))**(-7\/6))**(-46\/3) assuming i is positive.\nAnswer: i**(-103684\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*j - 9*j - 19*j**2)*(-5*j - 2*j + 3*j)*(-1 - 2 + 1)*(-3 + 1 + 1) to p + d*j**2 + u*j**3 + v*j and give u.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 343 - 2?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -2\/3 (c) 151 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 4}. What is prob of picking 1 h and 3 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1334920914395.999999587 - -1334920913694. Let r = 702 + k. Round r to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 5*m = 20, m = 5*w - 46. Suppose -3*i + 1 = -29. What is the least common multiple of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 781 - 0?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1*(1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 4. Let h be l(3). Let v(u) = -2*u**2 - 8*u - 9. Let s(t) = t**2 - t + 1. Let d(g) = h*s(g) - 2*v(g). Factor d(w).\nAnswer: 2*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 267285546 to the power of 1\/2, to the nearest integer?\nAnswer: 16349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + -8.7. Let m = r + 9. Which is the nearest to m? (a) 7 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 + (128 + -50 - 41)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + u + 4*u. Let j(t) = -2*t + 35 - 35. Determine b(j(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**7\/840 + h**6\/72 - h**5\/120 + h**4\/12 + 5*h**3\/2 - 8*h**2. Let w(y) be the first derivative of v(y). Determine w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2567*f*h**3 - 10*f*h**2 - 3*f*h - 2*f wrt h?\nAnswer: -15402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-1)\/(-2)*-2. Let q = 203515\/2148 - -2\/537. Let z = q - 8709\/92. Is d > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 439*c - 39973. What is t(-146)?\nAnswer: 2805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 8. Let n be y(-7). Let k(c) be the third derivative of -5*c**4\/12 - c**3\/6 + 24*c**2. Calculate k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. Suppose -z - 45 = -v*z. Does 13 divide 4\/(-10) - (-636)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 - 145. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -89*f**2\/2 - 4*f - 1698. Let b(p) = -10*p**2. Determine b(n(k)).\nAnswer: -79210*k**2 - 7120*k - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + l + 0*l)*(9 + 8 + 8)*(-6 - 3 + 0) + 0*l + l - 3*l + 2*l + 0*l - l + 4 + 2*l - 4 + (2 - 2 - 2*l)*(1 - 3 + 1) in the form i + t*l and give t.\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16682397960.3 - 0.6.\nAnswer: -16682397960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 93*b + 8277. Determine u(148).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/(-43)) + 4. Let t = 55 + f. Let c be ((-6)\/(-5))\/(t\/40). Solve -c*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 63*f**4\/5 - 51*f**3 - 3396*f**2\/5 + 516*f + 1008\/5 = 0.\nAnswer: -6, -2\/7, 1, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-40)*6\/(-16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 62. Let r be u(-14). Suppose -36*d = -r*d - 6. Solve 4*b = -4, -f - b = -0*f - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124903893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let j(z) = -15850*z**2 - 2. Determine j(u(w)).\nAnswer: -63400*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 27. Let o(x) = 3*x**2 + 12*x + 27. Calculate the smallest common multiple of o(-2) and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1)*(-11 - -28). Solve 0*j = 4*j + z + h, z = -3*j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*v**3 + 119*v**3 + 543*v**3.\nAnswer: 1089*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 12:36 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 20*i**2 + 312*i + 2804. Give d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * 9\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000011011110111 - 1000?\nAnswer: 101000000011011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 + 0.37915056?\nAnswer: -0.29084944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let a(r) = -2*r - 6662. Give l(a(n)).\nAnswer: 4*n**2 + 26648*n + 44382244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, -0.3, -1\/5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10*z = -1043. Suppose 4*o = -2*a + 222, -o - 2*a = -4*o + z. Let r = -50 + o. Solve 0 = -r*b - f + 3*f + 7, -5*b - 3*f = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-9)\/4*1708\/366).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 35*b**2 - 163*b - 1176. Calculate k(-31).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 less than 5409974.885?\nAnswer: 5409881.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838762 is divided by 168?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:39 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 + -3 - 4) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 582144 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1) - 5)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - -1319. Suppose 0 = -3*g + 3822 + x. List the prime factors of (-4)\/26 + g\/91.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 + -21 + (-35803)\/(-4). Let b = -9035 + y. Let w = b - -83. What is the smallest value in w, -2\/3, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2218250*a - 402*a**2 + 2218250*a.\nAnswer: -402*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/86 + 2\/43. Let f = -0.06 - -1.06. Let c = 11\/4 + -2. What is the closest to f in n, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-364)\/63)\/((-2)\/12). Is -31 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q - 1059 = -1251. Let g(n) = -2*n**2 + 15*n + 62. What is g(q)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - 213221120130?\nAnswer: -213221113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/2 - (-7 + 6 + 6). Let m(l) be the third derivative of 0*l + a*l**4 + 7\/60*l**5 - 7\/6*l**3 - l**2 + 0. What is the derivative of m(q) wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/12, -1\/23, -24, -0.29 in descending order.\nAnswer: 2, -1\/23, -1\/12, -0.29, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 2}. What is prob of picking 1 l and 1 c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**6\/12 + p**5\/6 + 35*p**4\/48 + 5*p**3\/6 - 5*p**2\/2 - 14. Let k(m) be the second derivative of v(m). Factor k(c).\nAnswer: -5*(c - 2)*(2*c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-1)*-18*(-17)\/(-408).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 15401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(350)\/sqrt(160))\/sqrt(5) - (-2 + -3 + sqrt(112)*4))*-3.\nAnswer: -15 + 183*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:44 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -7*s + 370. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) -2 (b) -3\/5 (c) -201 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/168 - i**6\/24 + i**5\/16 + 15*i**4\/16 - i**2 + 17*i. Suppose c(g) = 0. Calculate g.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = v + f - 25, 3*f - 73 = -2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -1886941429?\nAnswer: -1886941430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2335393028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*o + o. Suppose -o*x + 2*l + 76 = 0, 4*x - 90 = -x - 5*l. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11101, -11118, -11145, -11182, -11229?\nAnswer: -11286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1152, -2289, -3426, -4563?\nAnswer: -5700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4233838, -4233843, -4233852, -4233865, -4233882, -4233903, -4233928?\n\"Answer: -2*z**2 + z - 4233837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + 3. Let k = 270774919 + -270774897.0000022. Let r = t - k. What is r rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 - -1807. Suppose 5*x + 3*x - b = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 35*w - 40. Let h be q(31). Let n = -149 - h. What is the greatest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 27082579?\nAnswer: -14\/27082579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 0*n - 26*n**2 + 4*n + 28*n**2 to the form l + k*n + b*n**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(17))*6*5 - -5*(sqrt(2057) + 0)**2.\nAnswer: 90*sqrt(17) + 10285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3114 (base 11) to base 14.\nAnswer: -170d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 26452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 8*u. Let x(n) = n - 3. Let r be x(-5). Let d be k(r). Which is the closest to -0.1? (a) 4 (b) -1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 7*p - 6. Suppose 0 = 20*j + 413 - 493. Calculate the smallest common multiple of j and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -113\/8, 0.03, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -6*l + 8*l - 2, 4*i + 23 = -5*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152739, 305331, 457923?\nAnswer: 610515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w + 469 + 5614. Let i = w + 1281. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570579 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8322042, 8322046, 8322052, 8322060, 8322070?\n\"Answer: b**2 + b + 8322040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15210 (base 9) to base 7\nAnswer: -42153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-130853)\/(-9) - 3 - 24\/108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 + p**2)*(0 + 5 - 4)*(-2 + 1 + 2)*(-10*p + 7*p + 16*p).\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14011 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 68*m = 15. Let b be 8 - m\/(-6)*10. Suppose -13 = -b*q + z, 4*z - 18 = -2*q - 0*q. Solve -q*x + 0*x = -25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - (-1340)\/(20\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.35 - 15.35. Which is the second biggest value? (a) p (b) 5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -438a?\nAnswer: -4381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 853*j + 6. Let p(m) = -3408*m - 27. Determine 4*p(n) + 18*z(n).\nAnswer: 1722*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19804408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67688565?\nAnswer: 3, 5, 7, 644653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1032102 (base 6) to base 4\nAnswer: -30131012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16480, 16529, 16654, 16891, 17276, 17845, 18634, 19679?\n\"Answer: 6*q**3 + 2*q**2 + q + 16471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*l + 180, -5*a = l - 2*l + 307. Let g be (-1867)\/(-30) - (-4)\/(-10). Let m = g + a. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1310*t + 1306*t + y + 268 = 0, 0 = 2*t - 5*y - 116. Calculate the greatest common factor of 10914 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 739*l**2 - 18*l + 123. Let t be s(-17). Round t to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x**2 + 3*x + 13. Let t be a(-4). Suppose 0 = -v - 4*q + 48, -4*q + t = 5*v + q. What is the smallest common multiple of v and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/72 + (-4)\/(-16). Let i = n + 1\/36. Let g = i - 3\/4. What is the closest to g in 4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 3*b**3 - b + (0*b + b + 0*b)*(4*b + 2*b**2 - 4*b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -73*d**5\/5 - d**4\/2 - 320*d**3\/3 + 76. Find the third derivative of h(c) wrt c.\nAnswer: -1752*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 5*r - 5. Let p(y) = 2*y + 2. Let g(j) = 2*l(j) + 5*p(j). Let t(z) be the second derivative of -11*z**4\/3 + 20*z. Determine g(t(s)).\nAnswer: 3872*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.9 (b) -0.1 (c) 2062 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -21, 31, -1, -2 in descending order.\nAnswer: 42, 31, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5 = -8 - 9, -75*d - 3*r + 162 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1*(-136)\/(-102). Solve 4*w - 12 = -x - 1, 0 = 2*w - u*x - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -14*j - 3*j - 62 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -197055 in descending order.\nAnswer: 5, 3, -197055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flfm when four letters picked without replacement from {f: 6, l: 2, c: 1, m: 3, z: 2, n: 5}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 18, -1\/4, -4, -0.083, 4?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 5. Let x be n(-4). Let f be 1\/3 + 4\/6. Let z be (-1 - (f - x))\/1. What is the second biggest value in 2\/3, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q. Let c(j) = 3*j - 3*j + 19*j**2 - 25*j**2. What is x(c(w))?\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -17*r - 3. Let n(s) = 18*s + 4. Let i(w) = -5*d(w) - 4*n(w). Let p be i(1). Differentiate p*q**2 - 5*q**2 - 4 + 1 with respect to q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, -1\/19, 0.05, 3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1764\/3780*740\/(-259)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = -4*m - 2, -5*w - 10 = -4*m. Let d = 120 - 81. Sort m, -3, d.\nAnswer: -3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25326 and 7973?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 980 and -2570.68?\nAnswer: -2519266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15 = 4*i. Let f be (i*1)\/((-2)\/2). Solve 0 + 28 = -4*n + 5*d, f*n = 5*d - 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/24*3000\/(-225).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -96196 divided by -2?\nAnswer: 48098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 156*k + 461. Calculate d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*n + 17*n - 34*n + 11, -7*n - 65 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6519?\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 32*i**2 - 11*i - 26. Let g be p(-6). Suppose 4*x = 64 + g. Calculate the least common multiple of x and 18.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(252) + 1).\nAnswer: -36*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**4\/23 - 94*z**3\/23 - 352*z**2\/23 + 128*z\/23.\nAnswer: -2*z*(z + 8)**2*(3*z - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-7 + 2)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.83, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28186*l - 2996.\nAnswer: -28186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 19*g = -3*x, -4*g = -x - 15. Determine t so that 2\/3*t**g + 0 - 2\/9*t**4 + 2\/9*t**2 - 2\/3*t = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-810)\/30 + 28)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63794 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: Expand (2*b - b + b)*(-2 + 5 - 1) - 3*b + b + b + 5*b - 4*b + 0*b + 2.\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/2686 - -14833\/32232. Find the common denominator of a and 5\/6138.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:55 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 3 + r - 3. Let g be v(1). Suppose -4*f - 2*s + 117 = g*s, -5*f + 3*s = -137. Calculate the remainder when 109 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -9\/10 (c) 2 (d) 3 (e) -5 (f) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1079 and 7930?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:49 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -98684 at least -98671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57000 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143.26 - 144.4. Let x = y + 1.24. Let n = 3.2 - 3. What is the nearest to n in 3\/5, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69115\/1358 equal to 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h - 4*h)*(-1 - 2 + 5)*(-2 + 2 + 2).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 47640.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 848857*k**4 + 2*k**2 - 18846*k - 3 wrt k.\nAnswer: 20372568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f - 440 = 183*f - 27*f - 49*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-27)\/(-3) + -3. Suppose j*x = 12001888 - 1851888. What is x rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 439 + -304. Suppose -72 = -3*g + y. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 4*n + 4. Let z be t(3). Suppose -24 = -4*r + m, 0*r = 4*r + 4*m - 4. Solve -4*j = -r*i + 25 - z, -5*j = -5*i + 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 9*t - 17. Let g be o(-5). Let c = g - -96. What is the units digit of (8\/(-4) - c) + 111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532711243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*m = 219*m - 212894. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 428. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*u**3 - 408*u**2 + 531*u - 189.\nAnswer: 3*(u - 7)*(4*u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -57*t + 164. Calculate c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 4, -131432.\nAnswer: -131432, -53, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 times 0.024368?\nAnswer: 0.00950352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196863189823 + 1196863189823 - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1000010100011110001110000?\nAnswer: -1000010100011110001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(sqrt(187) - (sqrt(187) - 2*sqrt(187))))\/sqrt(11).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**23)*o)\/o*o**(-26\/7) assuming o is positive.\nAnswer: o**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:13 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c + -33?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -61?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -n + 9, m - 38 = -2*n - 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*3\/2. Suppose 2*z - 268 = -4*a + 36, -u*z = -5*a + 371. Suppose 4*q + 19 = -1, -5*b + 5*q + a = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1 - 11*h + 0 - 2 + 43 - 41. Let p(q) = -33*q + 4. What is 7*a(s) - 2*p(s)?\nAnswer: -11*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -344 - -166. What is the tens digit of 32\/(-10)*(t - (3 + -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**2*j**3*t + 19*a**2*j**2*t + a**2*j**2 + a*j**3*t + 21*j**3*t - 2*j**3 - 55*j**2*t wrt j?\nAnswer: 42*a**2*t + 6*a*t + 126*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -32. Suppose 0 = 2*a - w - 19, 3*a + w - 21 = -0*w. Let s be (d\/(-8))\/(a\/(-32)). Is -7 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7817413 and 2681.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-310)\/62) + -1*5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 23)*(1 + 0 + 0)*(0 - d + 0 + d - 2 + 2 + (-2 + 1 - 1)*(2*d + d - 5*d)).\nAnswer: -92*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 smaller than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16320002 (base 7) in base 15?\nAnswer: 2147e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 15\/112*d**8 + 0*d**6 + 0*d**3 - 9*d**2 + 0*d**7 + 0 + 2*d + 19\/8*d**4 + 0*d**5. Find the second derivative of b(o) wrt o.\nAnswer: 900*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-34324*a**2 + 67*a**3 + 58*a + 2 + 34324*a**2).\nAnswer: 67*a**3 + 58*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 20*o**2 + 394*o + 3231. What is c(-6)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 49\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*x**3 + 2\/7*x**5 + 6\/7*x**4 + 0*x + 0*x**2.\nAnswer: 2*x**3*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -3732 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298435 times 0.1?\nAnswer: 29843.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iayay. Give prob of sequence iy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 30. What is g(17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*3*(-12)\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 245596*x**3\/3 + 7539674402*x**2\/3.\nAnswer: 2*x**2*(x - 61399)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5871 - -40512. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.1 - 134.1. Which is the biggest value? (a) w (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 9*v - 24. Let y be w(-6). Let d be (y + 165\/27)*4\/(-2). Which is the nearest to 2\/5? (a) d (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -2 - (2 + -4)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/(21170\/7134)*5\/3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -52 - (26 - (2 - 4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**5 - 8*b**2 - 12*b**5 + 9*b**2 - 6*b**2 wrt b.\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -928*j. Let y(g) = -4*g. Determine y(r(f)).\nAnswer: 3712*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7076*v**3 + 7007*v**3 + 1 - 21224*v**3 + 7068*v**3 - 4.\nAnswer: -73*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-33 - -25 - (0 - 15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*y + 3763*y = 264346 - 53750 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let b(s) = -1625*s**2 - 1709*s**2 + 3237*s**2. What is b(x(z))?\nAnswer: -97*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 15467450 - 25875?\nAnswer: 15441575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/96*(-2)\/(-3)*-3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240 + 240. Put 3\/2, y, -0.3, 0.8 in increasing order.\nAnswer: -0.3, y, 0.8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292756 and 3504.\nAnswer: 256454256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7979 divided by 5920\nAnswer: 7979\/5920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 - -251. Let a(n) = -3*n**3 - n + 261. Is a(x) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 15. Let x = k - 8. Let z be ((-9)\/(-3) - 2)*x. Calculate the highest common factor of z and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 1, g: 1, c: 4, p: 1}. What is prob of picking 1 t and 3 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1418*n**2 + 15*n - 46. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/40*-10*2\/(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00742247 rounded to 4 dps?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/56*-3*(-1715)\/210\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-268)\/(-34) + -4 + (-2)\/(-17). Let a(f) = 103*f**2. Let d be a(1). Suppose -4*z - 2*v + 425 = d, 3*v = l*z - 307. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82\/4 + (6 + -1 - 12). Which is the biggest value? (a) 3\/13 (b) -1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-59)*(-5750)\/129375.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*m = -18, 12 = -3*t + 4*m + 2. Let l be 3\/t - 9\/(-18). Suppose l = n - 2. Solve h + 12 = n*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -2705, -2.54?\nAnswer: -2705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**3\/6 + 5*l**2\/2 + 11*l\/2 + 92. Factor q(v).\nAnswer: -(v - 11)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/77 + (-128)\/(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/183 and 55\/96.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10.48 (b) -11 (c) 0.3 (d) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 0*k = -k + 6, -k - 2 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:18 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m - 6. Let d be 36\/(-42)*1*-7. Let t be a(d). Let f = t + -27. Solve 2*y - f + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310 and 4?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/64 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y*y**(5\/11)*y*y))**(-7\/2))**8 assuming y is positive.\nAnswer: y**(1372\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1151998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 12. Let u be (-33)\/(-12)*(-4)\/(-1). Suppose h = -2*h + 51. Let n = h - u. Determine p(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8877.\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((12\/(-8))\/1). Let h = 0 - 0.5. Put 3\/5, n, h in descending order.\nAnswer: 3\/5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -484 (base 14) to base 10.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76979 and 1813.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.05 (b) -2\/17 (c) -6\/11 (d) 0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 29. Let b(z) = 2*z**3 + z**2 + 2*z + 2. Let q be b(g). Which is bigger: q or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66495003 to the nearest integer?\nAnswer: 8154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 14, 12, 0, -28?\n\"Answer: -a**3 + 4*a**2 - 3*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d + 3. Let l(b) = -9*b - 4. Give 3*k(j) + 2*l(j).\nAnswer: 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 28*b**2 - 14 - 5*b**2 - b**2 + 5*b**2 + (2*b + 2 - 2)*(-3*b + 4*b - 2*b).\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*p = -640*p - 1212 - 628 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 260\/24*74592\/(-8880)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**3\/6 + 5*l**2 - 59*l. What is the remainder when 44 is divided by h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 - -209. Solve -7 = k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/d**(-1\/3))*d*d)\/d*d)*d**(2\/7))**(-18) assuming d is positive.\nAnswer: d**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -338 + 361. Let m(k) = 6 + v*k + 26*k - 77*k + 27*k. What is m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08898 rounded to 3 dps?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**10)**(-20))**36)**(-44) assuming t is positive.\nAnswer: t**316800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88.8 - -69. Let c = i - -19. Sort -0.2, c, -0.5, 5 in ascending order.\nAnswer: c, -0.5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l = 56*l - 14688. What is the units digit of (23 + 0)*l\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - -478. Let z = -317 + 1601\/5. What is the common denominator of z and x\/(-132) - (-4)\/(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 30 = -0*i. Solve 0*x + x = -i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1593725 and 11025?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jttjjt. What is prob of picking 1 j and 2 t?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.090060722 to four dps.\nAnswer: 0.0901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 - i**2\/2 + 5*i. Let h(z) = 1. Give -3*h(k) - 2*p(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.57 and -1.7.\nAnswer: -34.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 356586 divided by -1154?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d + 22. What is s(-5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/4)\/(1\/4). Let x = -510 - -514. Solve -5*d = 3*a + l, -x*d = -a - 3*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose -n*u - 124 = -4*y - 0*u, -5*u - 49 = -y. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 20, 14, 8, 2, -4?\n\"Answer: -6*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106776 is divided by 15239.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -39.18. Let i = j - 1.88. What is the third biggest value in 6, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780681.3648 rounded to the nearest 100?\nAnswer: -780700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 1\/6*t**4 + 0 + 5\/21*t**3 + 85*t - 2\/7*t**2. Find b, given that w(b) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239 or -261?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c**(-4)\/c))))\/c*c\/c**8)\/(((c*(c*c**(-2\/13)*c)\/c*c)\/c)\/c)**(-38) assuming c is positive.\nAnswer: c**(392\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003709 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 39*s = 504 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1770, 3539, 5308, 7077, 8846?\nAnswer: 10615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(252)*-2)**2 - sqrt(252)).\nAnswer: -6048 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -15a79bc?\nAnswer: 15a79c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/13449750 and -83\/3318?\nAnswer: 94148250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**7\/21 - 5*n**4\/12 + 5*n. What is the third derivative of u(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -2\/285 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 378 = 3*i, 5*r - r = -3*i + 378. Let c = i - 87. Let s(o) = 3*o**3 - 4*o**2 + 4*o - 2. What is the remainder when c is divided by s(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1425601 milligrams in tonnes?\nAnswer: 0.0000000001425601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 12\/(-9))*12\/4. Let h(a) = a**3 + 3*a**2 - 13*a - 15. Let y be h(q). Solve -k - 22 = 5*w - y, 3*w + 18 = k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 199, 317, 447, 595, 767, 969?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125992 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6996 (base 10) in base 8?\nAnswer: -15524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320746, -641546, -962398, -1283302, -1604258?\nAnswer: -1925266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y - 2338723 = -17*y - 287779. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdvktnvj. Give prob of picking 1 v, 1 d, 1 j, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two ninths of a week in minutes?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (1 + -1*sqrt(1573) + (sqrt(1573) - (1 + sqrt(1573))*-3))*5)**2.\nAnswer: 6600*sqrt(13) + 354328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -368, -537, -686, -809?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/4 - 9*k**4\/2 + 3*k**3\/2 + 12*k**2 - 9*k\/4 - 15\/2 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-26)\/(-8))\/((-8)\/(-64)). Let q = u - 23. Solve q*s = -0 - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/57*4\/(-6). Is 0 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -1.63. Round i to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6619.066ml to litres.\nAnswer: 6.619066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -33. Suppose 15*w - 18*w = -z. Factor -5*y**2 - 20*y - w*y**2 + 24 + 3*y**2 + 7*y**2.\nAnswer: -4*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062*q + 501*q = -1091*q + 34502 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let h(u) = -6*u**3 - 2*u + 7*u**3 + 0*u**3 + 7*u**2 - c. Does 4 divide h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/4 + 21\/(-2). Let h = t + 7. What is the closest to -0.1 in h, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.660293l?\nAnswer: 9660.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1 + -1))\/(-1 + 0). Suppose a + 7*k = 3*k + 17, 2*a = -2*k + 4. Suppose 3*v = -3*u - 21, -5*u - 4*v - 54 = -21. Put u, z, a in descending order.\nAnswer: z, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -10*q + 12*q - 22, -51*r = 377*q - 379*q - 1642 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - t**2 + 4*t - 5. Let x be h(-3). Let w be (7\/x)\/((-101)\/(-8)). Is -1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6404 = 27532. Is t a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -4*q - m, 110*q - 114*q = -2*m - 114. Calculate the smallest common multiple of q and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1144.00627 - -1144. Round x to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1623853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 7*g + 9. Let t be k(4). Let o = 60 + t. Suppose 0 = 9*h - 19 - o. What is the least common multiple of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*((4 + 0 - 3)*(-1 - 4 - 1) + 3 + 0 - 4).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -587, -5571, -14963, -28763?\n\"Answer: -2204*n**2 + 1628*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4593876, -4593811, -4593746?\n\"Answer: 65*d - 4593941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213181061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 246975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.2 (c) 1235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -27.0692.\nAnswer: 3.248304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39950, 39933, 39898, 39839, 39750, 39625, 39458, 39243?\nAnswer: 38974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68)\/(-221)*(4\/(-6))\/(-1). Let q = y - 451\/1248. Is q greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -6.0533710953718.\nAnswer: -6.4533710953718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-4)\/6*(-16749)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605740000 rounded to the nearest one million?\nAnswer: 606000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, b: 7}. Give prob of sequence bb.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 10318*g\/5.\nAnswer: -2*g*(g - 5159)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -854, -3292, -7356, -13046, -20362, -29304, -39872?\n\"Answer: -813*i**2 + i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 103110 (base 4) to base 7\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -172*b - 34393. Give p(-199).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -79+124537633\nAnswer: 124537554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 14. Let t(z) = -2*z - 105. Determine -9*q(m) - t(m).\nAnswer: -7*m - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-440)\/30)*-3. Suppose 0 = 9*i - 8*i - b. Calculate the lowest common multiple of 140 and i.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (28\/8 + 1)) + 2\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.878426 to 1 dp.\nAnswer: 111.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (0 + -3))*(-16)\/8. Factor 2\/11*f**r + 0 - 6\/11*f.\nAnswer: 2*f*(f - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c**4 + 27*c**3 - 48*c - 3672. Let s(j) = -8*j**4 - 20*j**3 + 47*j + 3672. Let w(p) = -4*s(p) - 3*u(p). Differentiate w(g) with respect to g.\nAnswer: 8*g**3 - 3*g**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*n - 384 - 7130 - 7986 = 57*n for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 19*p + 54. Give k(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/18, 2\/9, -0.9, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678999 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.92356539 to 3 decimal places.\nAnswer: -124.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43357 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g + 120 = 320 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4*p)*(-1 + 2 + 0) + 4*p - 4*p - 2*p - 3*p - 2*p + 8*p as q*p + w and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22801849 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -4. Suppose 0 = s - 7*s + 234. Suppose -34*t - 60 = -s*t. Solve 4*u = -l*b + t, 3*b + 1 = 2*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/4)\/(1\/20). Suppose -w = -2*q - h, -q - 6*w = -9*w. Is (-330)\/q - 1\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*s - 26*s + s**2 - 1 - 151*s to the form l*s**2 + k + o*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssx when three letters picked without replacement from {s: 2, x: 5, p: 6, q: 2, b: 1, u: 3}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 470, 600, 788, 1064, 1458, 2000, 2720, 3648?\n\"Answer: 5*x**3 - x**2 + 98*x + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/(i\/i**10))**(-14) assuming i is positive.\nAnswer: i**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6184285*d - 620 = -6184295*d for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -11) + (-8640)\/405. Which is the closest to s? (a) -5\/6 (b) 4 (c) -17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 4, l: 1, j: 1, f: 3, g: 5}. What is prob of picking 1 l, 1 j, and 1 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = v. Suppose -v*u + 0 + 30 = 0. Let g be u\/75 - (-38)\/10. Solve 0 = -n - g*l - 11, 5*l + 9 + 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1410 + 10024213?\nAnswer: 10031123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (28246*x**2 - 389*x**3 - 28246*x**2)*(-4 - 1 + 2*x + 2) as t*x**2 + v*x**3 + i + n*x + l*x**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 244, -129, -1 in descending order.\nAnswer: 244, 4, 1, -1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 6557 - n + 5*n**2 + 3287 + 3270.\nAnswer: 5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 25*n**2 + 139*n - 20. Let i be m(-9). Solve -i*w + 7*w = 108 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llv when three letters picked without replacement from vlll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-627)\/(-2) + -1)\/((-30)\/1939200). Round r to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -9*l + 2*j + 298, -77 = -l + j. Suppose -z = z + 42. Let r = z + 36. What is the remainder when l is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a66 - -2?\nAnswer: -a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*r - 4*r - 10 = 0, 2*w - 4*r = 20. Let i(b) = 5*b - 6*b + w*b. Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 7. Suppose -3*h + 4*v = -0*v - 16, -5*h + v + 38 = 0. What is p(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11788, -23584, -35380, -47176, -58972, -70768?\nAnswer: -82564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:39 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695489*t**2 - 15*t + 695471*t**2 - 1390962*t**2.\nAnswer: -2*t**2 - 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*483\nAnswer: -193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 35 = -2*j, 4*j + 15 = r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2781 and 10152?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/6319 + -6244\/473925. Which is the closest to -2? (a) 0.5 (b) 2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 - -0.71. Let k = 18 - 19.8. Let n = k - 0.2. Put -5\/2, n, g in descending order.\nAnswer: g, n, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1715*y + 5048*y - 1744*y - 1668*y.\nAnswer: -79*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + a**3 + 0*a**3 + 3 + 0*a**3 + (a - 6*a + 2*a)*(2*a**2 + 3*a**2 - 2*a**2) to the form o*a**3 + y*a + q + w*a**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:49 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259 or 12?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnngdggqngtg. Give prob of picking 1 d, 1 q, 1 t, and 1 f.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-140)\/15*(1 + (-50)\/20). Solve 74 - m = -15*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -834 - -908. Suppose v*a - 63*a - 704 = 0. Calculate the remainder when a is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30208*k - 3434*k**2 - 30210*k - 2 - 1 + 3 as x + d*k**2 + m*k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/25971 and -92\/165.\nAnswer: 129855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 2*h**7\/35 + 5*h**3\/6 - 5*h**2. Find the first derivative of m(i) wrt i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 12e77?\nAnswer: -12e71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 2*g**7\/21 + 317*g**6\/30 - 95*g**3\/6 + 9*g**2\/2 + 11913*g. Find the second derivative of l(r) wrt r.\nAnswer: 80*r**3 + 3804*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3725)\/5*(-2 - -1). Suppose 5*b - 520 = h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, -10, -2, -4, 0.\nAnswer: -10, -4, -3, -2, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6128.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 6)*(-2*b + 2*b - 6*b) - 10*b + 33 - 33.\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 3*f - 3*g, -g - 1 = -f. Suppose f*s = -2*s + 330. Suppose 3 + 27 = 2*a. Calculate the greatest common factor of a and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 7\/20*d**5 - 1\/4*d**4 + 0*d - 19*d**2 + 0 + 0*d**3. What is the second derivative of g(z) wrt z?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*h**2 - 5*h**2 - 9*h**2)*(2*h**2 - 3*h**2 - h**2) + 2*h**4 - 2*h + 2*h to the form l + c*h**4 + b*h**3 + m*h**2 + y*h and give c.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/180 + d**3\/6 - d**2. Let v(x) be the first derivative of o(x). Let g(z) = -44 + 44 - z. Calculate g(v(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 24*b - 450. Let p = 362 + b. Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/957 or 1?\nAnswer: -20\/957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60748147 to the power of 1\/2, to the nearest integer?\nAnswer: 7794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c. Let x be z(-2). Suppose -x = 4*u + 4*j, -u = -4*u + 4*j + 17. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 18 + 11 + 15 + 9*q + 7*q**2 - 8*q**2. Let i be j(12). Is 1 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1 + -3 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/51 and -47\/30464.\nAnswer: 91392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -97. Calculate the remainder when 74 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27965630041 less than -5?\nAnswer: -27965630046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 2, a: 4, f: 8}. What is prob of sequence aw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -23*t - 791. What is the remainder when y(-38) is divided by 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*s**3*y + 2*i*s*y - 3*i*y + 14*i - s**3*y + 4*s**2 + 2*y wrt s?\nAnswer: 18*i*s*y - 6*s*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1008 + 1224. Suppose -2*j + 32 = -22. Calculate the highest common factor of w and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21759995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014473 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. What is the third derivative of 2*t**6 + 0*t**6 + 3*t**2 - 2*t**s wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**4 + 257*s - 259*s - 2*s**2 - 3*s**3 + 3*s**4 as g*s + z*s**2 + v*s**4 + a + m*s**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -z + 6*z. Suppose -5*d - 3*f + 20 - z = 0, -2*d - 5*f + 14 = 0. Solve c - 12 = -d*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -30. Suppose -2*s - 2*o = -t, -4*s - 4*o = -s - 17. Find the common denominator of 34\/7 and -3*(s + (-28)\/10).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 184 + 194 = 0. Suppose -r - 7 = 2*x - 15, c = x - r. Solve -2*a = 4*j - x, -j + 5*j - 1 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.273164 to two decimal places.\nAnswer: 4.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 205, -2, 2.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*t - 4*t. Let i = -5 + t. Solve h + 0*h = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 23 = -44. Let h be p*(5 - 4) + -2. Suppose 4*s - b - 16 = 3*s, 0 = -h*b - 10. What is the greatest common divisor of s and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 918 and 4529318?\nAnswer: 2078956962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Is ((-1)\/q)\/((-6)\/1746) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*r**2 + 0*r**3 + r + 2*r**3 - 480*r**2 as d*r**3 + n + t*r**2 + m*r and give t.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 + 37188*a + 445680 = 0.\nAnswer: -9285, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40406 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*u + 4*o, u - 10 = -o + 9. Let f(x) = -x + 13. Let w be f(u). Let v be (-2 + (-8)\/w)*1. Solve 0 = v*n - b + 6, -2*b - 4 - 19 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4\/3 - 29870*v**3\/3 + 12983520*v**2 - 6364638720*v + 1076998348800.\nAnswer: 5*(v - 4390)*(v - 528)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -10, -2\/3, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 10*f. Let q be -2*f\/6*-15. Solve 0 = q*b + a + 5, -3*b - 4 = -3*a - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159817 and 28322?\nAnswer: 2237438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13842, 18109, 25222, 35181?\n\"Answer: 1423*n**2 - 2*n + 12421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 4 - 3*w**2 - 14 + 4*w + (-4*w + w + w)*(0*w + w + 0*w) + 2*w**2 + 0*w**2 - w**2.\nAnswer: -4*w**2 + 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(360)\/(sqrt(60)\/sqrt(5)))\/(sqrt(66)\/(sqrt(11) - 3*sqrt(11) - sqrt(11)))*5.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3286 or 16437\/5?\nAnswer: 3286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(96) + sqrt(96) + -2*sqrt(96))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:24 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*w - 12, -9*w + 12 = -7*w - 3*t. Put 1, -9, 3, w in increasing order.\nAnswer: -9, w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/252 - -2*6\/28. What is the closest to -0.03 in j, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Let p(j) = 0 - j + 6 + 5*j. Let w be (8\/(-16))\/((-2)\/4). Let f(l) = l + 1. Let u(c) = w*p(c) - 6*f(c). What is u(x(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, 3, -3, -23119 in decreasing order.\nAnswer: 5, 3, -2, -3, -4, -23119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-51))\/(56\/63). Let s = d - 299\/612. Which is the third biggest value? (a) -3\/7 (b) 2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -5, -2\/3131?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -17*o**2. Let v(w) = -25*w + 3*w + 8*w + 7*w. Calculate v(q(a)).\nAnswer: 119*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.4, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 39. Find the first derivative of -36*i**j + 30 + 13*i**2 + 11*i**2 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8308 = 4*u + 5*o, -10385 = -5*u - 5*o + 3*o. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 13*j - 8*j)*(-2*j**2 + 3 - 3).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and -118.\nAnswer: 141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 6. Let r be l(10). Let i be 6*(4 - (-28)\/r). Let k be (-27)\/i + (-17)\/(-2). What is the greatest common divisor of 40 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 1243701231030.17.\nAnswer: 1243701231035.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2736)\/288*(-252)\/171?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3012004\/6 - (-70)\/(-105). Round a to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 61*c - 1085. Is 7 a factor of l(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6615*(-2030)\/(-580).\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 8 = -2*h - 5*p, 3*h = p + 10. Suppose -4*i - 21 = -h*l, 0 = -4*l + 3*i + 6 + 11. Suppose -l*t + 158 = -252. What is t rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.4 (c) -1\/5 (d) -6 (e) -19 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 99986683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*c**2 - 1\/2*c + 0.\nAnswer: c*(7*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:19 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505164?\nAnswer: 2, 71, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-440)*-4*(200\/4)\/10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-1)\/(((6\/37610)\/3)\/(126\/(-42)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 263\/5. What is the closest to -2\/7 in -5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*56\/(-12) - (3 - (-3396)\/309)?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000128056914 to 7 decimal places.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0 + 0*k**3 - 3*k + 0*k**4 + 11\/15*k**5 - 19*k**2. Let w(v) = -4*v**2. What is w(r(z))?\nAnswer: -7744*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 34 - 24 - 47 - 2*o**2 + 31*o. Let a be v(14). Suppose -s - 7 = -4. Put -1, a, -2, s in decreasing order.\nAnswer: a, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9855, -9679, -9503, -9327, -9151, -8975?\nAnswer: -8799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(1\/3)*p*p))\/p)\/(p\/p**(1\/2)))\/(p**(-8)\/(p*((p\/(p\/((p\/(p*p**0\/p))\/p*p))*p)\/p*p)\/p)) assuming p is positive.\nAnswer: p**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17144610229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = v + 9, -v + 2*k - 40 + 39 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v = 20. Suppose -v*j - 12 + 4 = 0. What is the remainder when j\/(-5) + (-116)\/(-10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81889.\nAnswer: 17, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10187, 10124, 10061, 9998?\n\"Answer: -63*q + 10250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/33 - (-66)\/(-605)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10380 divided by -2076\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 9. Let v(w) = 2*w**2 - 3*w**2 + 1 + 0. Let x(t) = -3 - t**2 + 249809*t + 4 - 249809*t. Determine k*x(m) + 3*v(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 262, 488, 668, 796, 866, 872, 808, 668?\n\"Answer: -v**3 - 17*v**2 + 284*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4\/8 + 48*p**3 + 3801*p**2\/8 - 7023*p\/4 + 1233 = 0.\nAnswer: -12, 1, 2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*m = -y + 16, -18 = -3*y - 3*m. Let q(u) = -u + 1. Let o(t) = 14*t - 14. Let d = 7 - -5. What is d*q(n) + y*o(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 15*h**2 + 6*h + 24. Let r be b(-6). Differentiate 16 + r*c**3 - 2*c**3 - 160*c**3 wrt c.\nAnswer: -198*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334697 to the power of 1\/2, to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/2)*l)**(30\/7) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-4)*(-101 + -72 - -177)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 313, 723, 1303, 2053, 2973?\n\"Answer: 85*g**2 - 15*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19458 = -5*k - 2218. Suppose 0 = 10*t - k - 1692. What are the prime factors of t?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -4\/17, -2, 2\/43, -151 in descending order.\nAnswer: 0.09, 2\/43, -4\/17, -2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57449.85l?\nAnswer: 57449850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p**4 + 5*p**4 + 5*p - 3*p)*(32 - 23 - 24) as k + z*p**3 + r*p**2 + c*p + h*p**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 3*m = -10*g - 214, -g + 3*m = 58. Let a be 26\/g + (47\/(-2))\/(-1). Solve -a = 5*z + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 8*j = -q - 2, -5*q = -2*j - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 - 20 = -2*j, 0 = 2*j + 5*q - 36. Let b = -20 + j. Suppose -5*p - 57 + 612 = -5*k, -4*p + b*k + 442 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*(-3)\/(-18)*-3. Suppose -22 = -q - g. Solve -2*l - l + q = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1512)\/42300*5 - 16\/(-80).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21243.\nAnswer: 3, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let r be (-1)\/(-2) - 2\/q. Let j = -18 - -22. Solve -4*i + r*i + j = -4*a, i = 3*a + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 0*r + 4 + 0*r - r. What is the units digit of y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10822*b + 18912 wrt b.\nAnswer: -10822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*h + 11*h - 21*h + (-3 + 1 + 1)*(0*h + 2*h - 3*h) to the form m + u*h and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + h - 14, -5*x - 4*h + 29 + 12 = 0. Let q be 2 + (-1 - (-5 + 3)) + -8. Put -1, 1, q, x in decreasing order.\nAnswer: x, 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/4 - 17*p**3\/2 + 955*p**2\/4 + 247*p = 0.\nAnswer: -52, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4552 - 4?\nAnswer: -4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75))**2*2*3 - (2*sqrt(132))\/sqrt(11).\nAnswer: -4*sqrt(3) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3365*o + 45727 - 130563 - 81564 = -3035*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + b + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1052 and 2104?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*i + 23, -4*h - 35*i + 18 = -34*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*o - 4*b, -2*b = -b + 2. Let q(s) = 2*s**2 - 2*s - 3 - 5*s + 2*s**2 - 2*s**2. Let p be q(o). Solve p = -a - 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 15*u**2 + 13*u - 14. Let r be j(-14). Let i be (r + 24\/30)*1. Factor s - i*s**2 - 2\/5 + 1\/5*s**3.\nAnswer: (s - 2)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j*r**2 - 5126*j - 2*r**3 + 794*r**2 wrt r?\nAnswer: -4*j*r - 6*r**2 + 1588*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141618 = 439*c - 445*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.172 - -2.828. Which is the closest to h? (a) 20 (b) 3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13546 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v**3 - 2*v**2 + v - 25. Let f(m) = -12*m**3 - 4*m**2 + 2*m - 27. Give 3*f(u) - 4*x(u).\nAnswer: 4*u**3 - 4*u**2 + 2*u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17466139?\nAnswer: 17466139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*s - 98. Let w = s - 41. Suppose 0*q + q = 5. Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2535383 = -90*v + 2537003 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*n - 0*n + 10, f + 5*n + 6 = 0. Suppose f*m = 4*j - 72, 2*m - 2*j = -2*m - 68. Let k be 2400002\/(-3) - m\/24. Round k to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -20, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69938712 and 122392746.\nAnswer: 489570984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((260\/(-16))\/13)\/(9\/(-72)*-8)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 26327*y**3 + 2 + 26330*y**3 + 2*y**4 - 6*y + 4*y - 16*y**2 to the form s*y**2 + g + k*y**4 + i*y + o*y**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 + 3*p + 4. Let r be g(4). Let u = r - -1. Let v = 4 - u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 68, 26 in descending order.\nAnswer: 68, 26, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 28 = 5*n - 0*w, 2*w - 8 = -2*n. Let m(l) = -l**2 + 7*l + 6. Give m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 180059092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64575 and 450?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 + -5*3\/(-5). What is the nearest to 27 in a, -2, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -889 minus 5874.04524893?\nAnswer: -6763.04524893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9504*d**3 + 18*d**2 - 76*d + 1 wrt d?\nAnswer: -57024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641722?\nAnswer: 2, 320861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.2 - 50. What is the closest to l in 11, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7628770, -7628771, -7628772, -7628773, -7628774?\n\"Answer: -o - 7628769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -77088 and -4.\nAnswer: -77092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 divided by -5.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254477792 is divided by 9976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 758 - 86 = a. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z*z**(-1\/2)\/z)*z*z))\/z*z*z**(-3\/7)*z)**27 assuming z is positive.\nAnswer: z**(-1107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40 * 1591\nAnswer: 63640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -424*q + 29394. Give b(70).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**3 + 3*h**2 - h - 3. Let d(m) = -23*m**3 - 7*m**2 + 2*m + 7. Give -14*a(s) - 6*d(s).\nAnswer: -30*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-1395)\/(-27) - (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 33\/82 (c) 2\/3 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**4\/8 + 49*b**2. Let x(n) = -24*n. Determine m(x(p)).\nAnswer: 72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 334660037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 6. Suppose 13 = d*j - 20. Suppose 4*b - 47 = -j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/7)*y)\/y*y*y**(-1\/14)*y**(-2\/27)\/(y**(-3\/4)*y))\/((y**(2\/7))**(-1\/7)*y**(-4)*y*y**4) assuming y is positive.\nAnswer: y**(4927\/5292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 110, -7, 5 in ascending order.\nAnswer: -7, -4, -3, 5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143\/42 - -23\/6. What is the third biggest value in n, -2, -0.1, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h - 6*h)*(-3*h + 19*h - 4*h).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304 (base 7) in base 14?\nAnswer: 7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88102 or 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -608, -2538, -5754, -10256?\n\"Answer: -643*n**2 - n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 23 = 14. Let r = g - -8. Suppose -r*y - l = -434, y = 5*y - 4*l - 328. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**4 - 18*u**3 - 24*u**2 + 6*u - 6. Let d = -71 + 72. Let s(h) = h**3 + h**2 - h + 1. Let c(m) = d*j(m) + 6*s(m). What is f in c(f) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 - 10*i**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76) + (4*sqrt(76))**2*-3 + sqrt(76) + sqrt(76) + -2.\nAnswer: -3649 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6969963 is divided by 1393991.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**4 + 2*v**3 - 3*v**2 - 39736*v + 991917 wrt v?\nAnswer: 8*v**3 + 6*v**2 - 6*v - 39736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - (-1 + 3)) + 0. Suppose 2*v - 1 = v + 2*r, -3*v + 13 = g*r. Suppose 0 = -a + v*a - 10. What is the third biggest value in 0, a, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:01 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2764\/23, 2?\nAnswer: 2764\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312446.8g to micrograms.\nAnswer: 312446800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 3 - 3. Let b(f) = -8*f. Let w(q) = 10*q. Let o(z) = z - 3. Let y be o(-1). Let v(a) = y*w(a) - 6*b(a). Give n(v(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 12*n**2 + 5*n + 1. Let d(b) = -10*b**3 - 61*b**2 + 26*b + 6. What is -2*d(i) + 11*p(i)?\nAnswer: -2*i**3 - 10*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -37475?\nAnswer: -37475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/739092 and 35\/14492.\nAnswer: 739092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.4, -1802, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -7. Let n be ((-12)\/p - 2)*12. Is (76\/n)\/(2\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -42945.\nAnswer: -11\/42945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17050 + 17167. Calculate the remainder when 4677 is divided by j.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - 0 - (-2626 - -2580)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707631?\nAnswer: 3, 235877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 294, 337, 396?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -4. Let q = b - 2.69. Let g = q + -3.11. Does 2 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, and 1 x when three letters picked without replacement from llwlwllwlwwwwlllwxlw.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 1 - (-1)\/((-1)\/(-9)). Let q be (8\/r + -4)*(-36)\/10. What is u in 24 + 21\/4*u**5 - q*u**2 + 84*u - 42*u**3 + 3\/2*u**4 = 0?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 5*b - 3*b)*(6 - 4 - 1) + 136 + 21*b - 136 + b - b + b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prtp when four letters picked without replacement from bppbtttbrpggbbpgpb?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 116742 - 237366 = -117492 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -23 (b) 1 (c) 19 (d) 4\/9 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 932\/9 and -4005 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d + 2 = 2*s, -1 = -2*d - s. Suppose b + 0*b + 13 = 5*u, -3*b + 9 = u. Sort -1, b, d.\nAnswer: -1, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:08 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0 + 8 - 4 + 8 - k**2 - 10*k. Let m be i(-11). Let f = -6.4 - -6. Sort f, m, 2\/9 in descending order.\nAnswer: m, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 481 + 589 - 1778 + k**3 as h + n*k**2 + x*k**3 + m*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 - w - 3. Let b be s(4). Suppose p + 0*p - b = 0. Let f = 41716 + -41617. What is the remainder when f is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -146, -495, -1082, -1907?\n\"Answer: -119*o**2 + 8*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 56*i. Let a be 27\/(-18) - 15\/(-2). Let t(s) = -11*s - 2*s + a*s + 5*s. Determine r(t(d)).\nAnswer: -112*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q - 2. Suppose -q = 4*y + 2. Let t be ((-1)\/y)\/((-1)\/(-21)). Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 2324592 = -4*z. Is z\/6*(-6)\/(48\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -125 (b) 0.4 (c) -18 (d) 0.08 (e) 4 (f) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172673 is divided by 86266?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6396 divided by 6\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.5 - 33.5. Which is the second biggest value? (a) 3 (b) -3\/2 (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.1 * 83474.9\nAnswer: -1176996.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -123.9*6.931\nAnswer: -858.7509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 22, 1\/3, 0.4, 12\/11 in ascending order.\nAnswer: 0, 0.2, 1\/3, 0.4, 12\/11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 30*q**2 + 43*q - 29. Let l = -191 + 172. Is v(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283340221.\nAnswer: 283340221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11905\/22 + -538. Let n = -7371 - -29485\/4. Calculate the common denominator of k and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2962230 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -2815, -9867, -23703, -46585, -80775, -128535, -192127?\nAnswer: -273813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9389, 18289, 27171, 36029, 44857, 53649?\nAnswer: 62399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-395)\/60*-2)\/((-2)\/4). Suppose 26 = -3*g + 2*g. Let r = g - f. Which is the second biggest value? (a) 2 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 17 = d, 2*d + 343 = -5*x + 313 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:35 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13074, -13085, -13096?\n\"Answer: -11*u - 13063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16915 is divided by 5548.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b + 202. Let x be m(14). Solve -24*a + 3*t = -25*a - x, 0 = 4*t + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 - 6*r - 1. Calculate the remainder when n(-7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-3) + (-484)\/(-66). Solve -2*r - 20 = -p*n, -4*n + r - 1 = -19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 67*u**3\/3 + 3*u**2\/2 - 2*u + 1. Calculate the remainder when i(1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 9 + -4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 5*c**4\/12 - 5*c**2\/2 + 6565*c. Let s(n) = 6*n**2 - 6 - 4*n + 4*n. What is -4*l(a) + 3*s(a)?\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 8502214090\nAnswer: -8502214089.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 5*x. Let m(n) = -9*n**2 - 6*n. Determine 6*c(q) + 5*m(q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34242.\nAnswer: 2, 3, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = 12. Suppose 2 = -s*l - 4. Let i(g) = -g**2 - 2*g. Let m be i(l). Let r(v) = -v**2 - 2*v + 3. What is r(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w. Let z(v) be the second derivative of -v + 0*v**2 + 0 + 0*v**3 - 1\/6*v**4. Calculate h(z(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 14 + -2)*1\/(-284)?\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0241 - 38.1241. Let l = q + 41. Let w = -1.1 - l. Is 0.5 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.689568 micrometers?\nAnswer: 0.007689568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14))**(1\/46)*(q\/(q\/q**(2\/5)))\/(q**19*q) assuming q is positive.\nAnswer: q**(-2289\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 875\/(-42) - (-25)\/30. What is the lowest common multiple of 150\/45*(-312)\/h and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (40 + (24 - 53) + -117).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 11.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2 - -9) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.2, 0.112, 0.4, 0 in descending order.\nAnswer: 0.4, 2\/15, 0.112, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**6\/10 - 21*d**5\/20 + 341*d**2\/2 - 6*d - 14. Find the first derivative of w(q) wrt q.\nAnswer: 12*q**3 - 63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 42.212399902839.\nAnswer: 39.212399902839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**3 + 431*o**2 - 15*o + 12. Let v(a) = 15*a**3 + 647*a**2 - 21*a + 17. Calculate 7*q(t) - 5*v(t).\nAnswer: 2*t**3 - 218*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72345.8 + 710?\nAnswer: 73055.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 2*q**2 + 2*q - 2. Let c be 18\/12*(-84)\/(-9). Suppose 3*d = 19 + c. Let s(a) = -26*a**3 + 11*a**2 + 11*a - 11. What is d*b(r) - 2*s(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:19 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 19*i + 32 = -2*t, -3*t - i - 26 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = 2116 - 1724 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - o**2 - 2*o + 4.\nAnswer: (o - 2)**2*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, g: 2, n: 5}. What is prob of sequence gppn?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156294670.\nAnswer: 2, 5, 7, 2232781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/252 + (-4)\/36\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, 1 u, and 1 b when four letters picked without replacement from qprbuvv.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 18, 36, 62, 96, 138?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5332348 and 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n. Suppose -4*s + 21 = -3*r - 2*r, 0 = s - 4*r + 3. Let y = -4 + s. Suppose -b - 7 = -2*b + 2*t, 4*b = -y*t - 11. Give o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and 79\/405?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/(-1*(714\/(-5))\/(-21))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.098 and -0.032?\nAnswer: -0.003136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -466 - -473. Which is greater: 74\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.21 + -23.31. Let x = z - -17.1. Put -0.2, 0.4, x, 3 in decreasing order.\nAnswer: 3, 0.4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 + 27*o**3 + 81*o**2 + 81*o = 0. What is o?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243312204 (base 5) to base 3.\nAnswer: 2011110210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1\/2*k**2 + 5625\/2 - 75*k = 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 53. Calculate d(-9).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 4, -4, -1\/5, 5, -2495?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(9\/3) - -7. Suppose 2*p + 14 = -5*q, w*p + 5 = 17. Which is smaller: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*b + 14*b - 13*b + (-78 - 17 + 236)*(b + 3 - 3) + 1 - b - 1 + 2*b - 1 + 1 + (-5 + 5 - 2)*(-2*b + 5*b - 4*b) + (3 + 0 - 4)*(1 + 2*b - 1).\nAnswer: 98*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278 is divided by 1550?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-23)*(i**(1\/2)*i)**(-1\/27) assuming i is positive.\nAnswer: i**(823\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 4, r: 3, i: 2}. What is prob of picking 2 i and 1 x?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzpfzzzzpzuauzccp. What is prob of picking 3 p and 1 f?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.4, 0.3, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-208))\/((-2)\/8). What is the nearest to -0.3 in -5, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3582316 (base 9) to base 6\nAnswer: -105354540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (73\/5 + -14)\/((-6)\/4). Let r(t) = -4*t**3 + 2*t**2 - 1. Let v be r(-1). Which is the third smallest value? (a) v (b) g (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15756 and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -261, -262, -263, -264, -265, -266?\n\"Answer: -s - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*a - 20, -5*a + 4*q = 9 + 7. Suppose a = -4*j + 401 + 51. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19.5 (b) -0.3 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 2, 5.31, -5 in increasing order.\nAnswer: -5, 4\/9, 2, 5.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2*201\/(-6)*2)\/((-6338)\/(-3169))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10000000111001?\nAnswer: -10000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, 4 in ascending order.\nAnswer: -44, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 86*m**2 - 48*m. Let x(s) = -65*s**2 + 36*s. What is 10*a(q) + 13*x(q)?\nAnswer: 15*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2180 divided by 59?\nAnswer: -2180\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*t + 390*t - 11 = -5*n, -3 = -n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*-2*(-3)\/4)\/(4884\/21164)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.92858 to the nearest integer.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.36 (b) 4 (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + (11 - (-11 - -16))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 705*p**2 - 704*p**2 - 24*p**4 - 309*p - p**3 + 27*p**4 - 37*p in the form q*p**2 + k + j*p + w*p**4 + t*p**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*l - 16, 3*y + y + 3*l = 11. Let o = 97 + -53. Suppose -o = -3*h - y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59758444.\nAnswer: 2, 29, 79, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 2 s when four letters picked without replacement from {i: 3, s: 5, k: 1, y: 5, o: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 7\/60*a**5 + 0*a - 1\/30*a**6 + 0 - 27*a**2 + 1\/6*a**3 + 1\/24*a**4. Find the second derivative of m(s) wrt s.\nAnswer: -24*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let y(g) = -g**2. Let q(b) = y(b) - 4*z(b). Let p = -1 + 5. Calculate the lowest common multiple of 10 and q(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -394, -1612, -4070, -8188, -14386, -23084?\nAnswer: -34702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 15. Let o be d(-11). Suppose -65 = -35*c + 1125. What is the second derivative of -o + 469 - c*q - 33*q**3 wrt q?\nAnswer: -198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 103, -1 in descending order.\nAnswer: 103, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374890 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8258822 (base 9) to base 2.\nAnswer: -10000110100011001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Let u(c) = -7*c**2 + 3*c + 4. Let n(k) = -7*k**2 + 2*k + 5. Let w(q) = -4*n(q) + 5*u(q). Let a(h) = -2*h**2 + 2*h. Give s*w(d) - 22*a(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.231 - 1.831. What is the closest to 2 in m, -0.1, -5\/3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101011000100111110110?\nAnswer: 101011000100111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round -60324.46 to the nearest 100.\nAnswer: -60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -945*d**3 + 1280*d**2 wrt d?\nAnswer: -5670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:13 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 16, -13048.\nAnswer: -13048, -134, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*j**3 - 46*j**2 + 20*j + 2 = 0. What is j?\nAnswer: -1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3013 or -3012?\nAnswer: -3013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -83, -147, -225, -317, -423?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o**4*t**3 - 8*o**2*t**3 - 76*t**3 wrt o.\nAnswer: 32*o**3*t**3 - 16*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let u(g) be the second derivative of -50*g + 10*g**2 + 1\/3*g**3 + 0. Calculate u(p(d)).\nAnswer: -4*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -4\/253193, -3, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 15*q**2 + 15*q - 9. Calculate i(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 11*z + 24. Let u = 0 + 10. Does 2 divide (24\/u)\/(z\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 57*b - 94*b + 58*b)*(-11*b**2 + 3*b**2 - 4*b**2) + (b - b + b)*(-b**2 + b - b).\nAnswer: -253*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -340*n**2 + 5*n. Let v(b) = -170*b**2 + 3*b. What is 3*q(f) - 5*v(f)?\nAnswer: -170*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13*(-91)\/133 + (-104)\/(-13). Is n != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -1\/19*b**3 + 6 - 4*b - 1\/190*b**5 - 5\/114*b**4 + 1\/285*b**6 + 0*b**2. Let t(u) = 0. Calculate u.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 140*s**2 + 10*s - 8. Let n be j(-4). Let c = 3330 - n. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.556145mm to meters.\nAnswer: 0.007556145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19991, 18925, 17859, 16793?\n\"Answer: -1066*q + 21057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - v**3)*(v**2 + 2*v**2 - 7*v - v**2).\nAnswer: -2*v**5 + 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -309*m + 3152. Calculate r(12).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11253*o**3 + 5629*o**3 + 8*o + 5625*o**3 + 23*o**2 in the form q + p*o**2 + x*o + z*o**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 370*g - 313*g + 342 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 12) to base 8\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 5*i**2 - 5*i - 5. Let q(r) = -6*r**3 + 16*r**2 - 16*r - 16. Let k = 12 + 4. Suppose 4*l = 5*l + k. Calculate l*n(o) + 5*q(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*t + 2*a + 29, 11 = 3*t - a. Let p(l) = l**3 - 6*l**2 - 5*l - 10. Let i be p(7). Solve -t = k - i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 16*s**2 - 11*s + 39. Determine m(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 e when four letters picked without replacement from eeeeeeqeeeqee?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10221111001 (base 3) to base 12\nAnswer: -38b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653003 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-51680)\/1275)\/(-152))\/((-272)\/6*(-5)\/(-20))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 12)\/(1 + 0 + 0). Let c be 0 - (x + -2 - 0). Let y(t) = -t**3 + 2*t**2. Give y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11503 - 2?\nAnswer: 11501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 + -23)*(-79)\/3. Suppose 4*v - 77 = b. Suppose v*n + 635 = 44*n. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38143572043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 46. Give a(-12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44524*l = -44509*l + 255 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 452 + 2*w - 32*w**4 - 452 as a*w**2 + f + b*w + q*w**3 + d*w**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 10\/5 - 7) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -459*o**2*z**3 - 2*o**2*z**2 - 537*o**2 - z wrt z?\nAnswer: -2754*o**2*z - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*u + 1153*u - 434*u + 40147 = -22398 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*b + 11, -5*c = -3*b - 1412 + 1318. Solve -3*x + 2*y = -c, 4 - 1 = -3*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*g + 70, -2*l + 7*l + g = 55. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3 + 54*p - p**3 + 41*p - 80*p - 3 - 15*p**2. Let g be t(-16). What are the prime factors of (g\/(-4))\/((-1)\/86)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and 220\/144 - (-4)\/(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((10\/4)\/(-5)). Let x = 7 - 3. Determine n, given that 2*n - 10*n**g - 11*n**3 + x*n**2 + 3*n**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 55. Let k be (1*-2)\/(16\/88). Is h(k) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2332 + 6858. Is b a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 480721229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 8*r - 7, 26*w - 25*w - 4*r - 11 = 0. Put 0, -2, w, -323 in increasing order.\nAnswer: -323, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301101221 (base 4) in base 15?\nAnswer: 3ec08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 1595?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -14061422?\nAnswer: -7030711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-6)*(-6)\/4. Solve -3*y = -y - 2*v, 4*y + u*v = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 5*a - 5*n - 0*n, 5*a - n - 328 = 0. Suppose -a = -5*p - 4*r, -2*r = 3*p - 19 - 18. Find the common denominator of 115\/18 and (-3)\/4*(-141)\/p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5, -0.0042, 4, -0.1 in descending order.\nAnswer: 4, -0.0042, -0.1, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1 - 9. What is the units digit of (-2)\/i + (-756)\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4774 + 1.3\nAnswer: 4775.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*j**3*k*r**2 - 4*j**3*r**2 + 19*j**2*k*r - 11*j*r**2 + k wrt j?\nAnswer: 528*k*r**2 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0357 times 0.05\nAnswer: 0.001785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.05. Let l = k + 0.05. Let u = -0.1 + 1.1. Which is the closest to -1? (a) u (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11808 and 1628192.\nAnswer: 14653728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2. Let h(o) = -2*o + 134. Determine r(h(a)).\nAnswer: 12*a**2 - 1608*a + 53868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 3*k**5\/4 + 33*k**2\/2 - 15*k. Differentiate z(w) with respect to w.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-3)*30\/(-25). Let f = a + 0. Let u(y) = -y**2 - 2*y - 3. Let i(p) = 426*p**2 + 0*p - 110 + 112 + 2*p - 425*p**2. Calculate f*i(j) + 3*u(j).\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313929 is divided by 269.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 9*w + 5. Let r be v(12). What is the units digit of ((-4)\/(-6))\/(r\/44280)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5 + 8*n**2 - 5*n + 0*n - 3*n**2 + 1. Let v(s) = 5*s**2 - s - 5. Let w(i) = 4*i**2 - i - 4. Let c(m) = 3*v(m) - 4*w(m). Calculate 3*c(g) + k(g).\nAnswer: 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:02 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7015 + 7015 + 193*g to the form l*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 59 - 24 - k - k. Let v be w(8). Suppose u - v*i = 342, 2*i + 3 = -5. Round u to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 18, -28, -226, -3, 4 in decreasing order.\nAnswer: 18, 4, 1, -2, -3, -28, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 918899599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 3*y - 2. Let g be b(-5). Suppose 4*o - g = -0*o. What is the second derivative of -3*p**2 + 2*p**o + p - 2*p + 3*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daadbyaaaxdadbyb. Give prob of picking 1 y, 1 d, and 2 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 87. Suppose -2*t - 32 = -f. Let d(z) = z**2 + 3*z - 3. Give d(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 8*y**2 - 3*y - 13. Let n be o(-8). What is the first derivative of -9*w**4 - 16*w**3 - n*w**3 + 15 + 27*w**3 wrt w?\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 2*a**3 - 3*a**3 + (a + a**2 - a)*(0 + 0 + 3*a) + 19*a**3 + 0 + 0 + (-2*a**3 - 1 + 1)*(-2 + 2 + 2) + a**3 + a**3 - 4*a**3 + 2 - a**3 - 2.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:50 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.5798 seconds to milliseconds.\nAnswer: 60579.8","meta":{"dup_signals":{},"source":"measurement__conversion_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: Is 12421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {w: 1, l: 1, p: 3, g: 1, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**5 + 4*h**4 + 9*h**3 - 14*h**2 + 14*h - 6. Let f = -26 + 28. Let z(l) = -l**5 + l**4 + l**3 + l - 1. Let i(y) = f*t(y) - 6*z(y). Factor i(o).\nAnswer: -2*(o - 1)**4*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from andzc. What is prob of picking 1 z and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {b: 8, h: 6, s: 3, k: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 261 + -257. Solve d - 3 = 4*m - n, 3*m = 5*d - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 133.7. Let g be (72\/54)\/((-1)\/(-3)). Put 3, g, 2, c in decreasing order.\nAnswer: g, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + 51\/9. Let a(m) = -m**3 + 2*m. Let i be a(-2). Suppose 4 = -3*l + i*l. Calculate the highest common factor of s and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10037 + 8 + -13 - (4 + -4 + -7)?\nAnswer: 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 - 1214784*p + 122975013888 = 0. Calculate p.\nAnswer: 202464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10767113969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26436 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/(-16))\/((-36)\/(-432)))\/((-7)\/((-196)\/7))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15*g - 5. Let x(o) = -4*o - 1. Let n(m) = -4*m + 42*m + 6 - 14*m. Let z(f) = n(f) + 8*x(f). What is 2*a(c) - 5*z(c)?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -307847.755 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/30)\/(2 + 2230\/(-1116)). Suppose -2*x - 10 = 0, r - w = -4*x + 179. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1731, -8523, -19843, -35691?\nAnswer: -56067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 904 + 854 = 0. Suppose -q*y + 60 = 10. Solve 0 = 5*i + y*d + 5, -26 = -5*i + i + 2*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31312, -31228, -31144, -31060, -30976?\n\"Answer: 84*m - 31396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 - 2aa?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from mpcoocobnopc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 28\/5, -0.044, -0.3105?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - y = 5*r - 40, 5*y = -187*r + 186*r - 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 860828808 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i - 20. Let b be j(-2). Let z = 0 - -0.1. Sort z, 5, b.\nAnswer: b, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.6. Let z(o) = 5 - o - 5. Let n be z(5). Put n, g, -1 in ascending order.\nAnswer: n, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021202111 - 202110021?\nAnswer: 1112022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/(-7) - 14\/49. Let q = 0.25 - 0.75. Let t = 28 - 115\/4. Sort b, t, q in descending order.\nAnswer: q, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**3 + 6*w**2 + 43*w + 22. Let r(o) = 23*o**3 + 11*o**2 + 87*o + 41. What is 6*r(a) - 11*z(a)?\nAnswer: 6*a**3 + 49*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35438.7494 rounded to the nearest 10?\nAnswer: 35440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13206, 14825, 16444, 18063, 19682, 21301?\n\"Answer: 1619*o + 11587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 5\/8, 0.2, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27165 is divided by 204.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = j + 2, 2*j = -18*f - 211 + 395 - 140 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 - 8 = y, -4*y + 4 = 0. Suppose -g + v*g = 4. Which is bigger: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ea61 + 19?\nAnswer: -ea47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80650, -162435, -244220?\nAnswer: -326005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15970 take away -1170829?\nAnswer: 1186799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -25210?\nAnswer: -25210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*b**2 + 2*b - 4*b + 2*b + 16*b**5 wrt b?\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2241840 divided by -5\nAnswer: -448368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 96 + -81 + (-2 - 6).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -104. Differentiate -2 + 25 - 8 + s + 47*d**3 with respect to d.\nAnswer: 141*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:38 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 3:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 2*w - 1. Let j be t(-1). Let q be (-8 - -2)\/(3\/j). Let y = q - -4. Is 2\/9 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4599*b + 4642*b = 9122*b + 595 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -525191608*r**4 - 2*r - 2961945 wrt r.\nAnswer: -6302299296*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 14760*h**2 + 161997*h.\nAnswer: 3*h*(h - 4909)*(h - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = 38*y + 5*b + 115, -26 = 3*y - 4*b for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.2 - -1.8. Let m = 12 - a. Let z = m + -4. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759833.2 years in centuries?\nAnswer: 7598.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/5 (b) 10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19052783*o**2 + 7947254*o wrt o.\nAnswer: -38105566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*c + 8, 0 = 2*z - c - 2 + 6. Suppose z = j + 2. Find the common denominator of -47\/16 and ((-637)\/(-13))\/(16\/j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64750463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -298121 times 1487\nAnswer: -443305927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*u - 108*u = 2080. Let n = -8685 + 13053. What is the units digit of (n\/u)\/((-13)\/(-15) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-3)*((-53345)\/454 + 116).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 841082344*l**3 + 21647*l + 13958 wrt l.\nAnswer: 5046494064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1009 + 1017. Calculate the least common multiple of 268 and v.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 - 2*f**2 - 10*f**3 - 2*f**2.\nAnswer: -4*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z**2 + z - 2. Let x be r(-3). Suppose a = 3*a - x. Let u = 23 - 1. Calculate the lowest common multiple of a and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2) + 8\/7. Let l be 32\/(-56) + (6\/39 - (-24)\/182). Let z = -7.19 + 1.19. Sort -0.04, z, l, i.\nAnswer: z, l, -0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000439455371 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31 + -34 + 0 + -3 - 0. Which is the nearest to -0.1? (a) 0 (b) h (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i + 1. Suppose 3*q + q + 72 = 0. Let d = -13 - q. Does 3 divide b(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*z**2\/9 - 952*z\/9 + 392\/9 = 0.\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19063 is divided by 2380.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -9, 2, 17?\n\"Answer: 2*a**2 + a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84042602 to the nearest integer?\nAnswer: 9167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 19*y - 8. Let m be t(-10). Suppose -m = 3*k - 2. Suppose k = -4*i + 5*q - 23 - 7, 7 = -i + q. Put 1, -7\/5, i in decreasing order.\nAnswer: 1, -7\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 615 and ((-107994)\/4390)\/(46\/(-45) + 1)?\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and 19.84674?\nAnswer: 20.44674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19692935 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 12) + (1 - 16) + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2527 = 5*t - 2572. Solve 5*r = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - -0.2. Let q = -21\/55 - -2\/11. Suppose 4*w + 1 = 3*w. Which is the closest to 0.1? (a) w (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911069 is divided by 637014.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4434196\/5 or 886839?\nAnswer: 4434196\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -927846*t**3 - 442515*t**2 + 116421*t - 630 = 0.\nAnswer: -2\/3, 15\/2713, 7\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -86.39. Let z = o + -0.21. Put 0.2, -5, z in decreasing order.\nAnswer: z, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3 + 11)*(-3*n + 2*n + 0 - 1) to u + f*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*p**3 + 74*p**3 + 7*p**4 - 3*p**4 + (p**3 + p**3 - 4*p**3)*(2 - 2 - 2*p) - p**4 - p**4 - 4*p**4.\nAnswer: 2*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c - 4*c + (3 - 3 + 2*c)*(1 - 6 + 1) + 0 + 0 - 3*c to m*c + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/30 + (-4)\/40. What is the second biggest value in n, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*v + 24. Let d(r) = 22*r**v - 11*r**2 - 13*r**2. Let q(i) = -16 - 27 - 176*i + 177*i. Determine d(q(n)).\nAnswer: -2*n**2 + 172*n - 3698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2110211221022?\nAnswer: 2110211221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + 0.07. Let o = 0.049 - 0.149. What is the nearest to -1 in o, 0.2, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from mdmddddmdmmdmddgggg?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Suppose 3*u - 4*t + 8 = u, 0 = -u - 3*t + 11. Let i be z(u). Let o be i\/(-14) - (-72)\/7. Solve 0 = -2*r - 10, 3*r = 5*w + 7*r + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429229 a multiple of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473468\/7 greater than or equal to 639068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f. Let g be d(2). Suppose -o - 9 = -4*o, i - g = -o. Suppose -3 + i = 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(3\/(-3))*(-14)\/(-119)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 7. Let o be (m - (-4 - 2)) + 3. Suppose 5*p = a + 6, 3*a = -0*p + 2*p + o. Sort 4, p, 1.\nAnswer: 1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -11 - 1*5. Let k = 15 + -14.5. What is the smallest value in q, -1\/4, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -7, -48, -115, -208, -327?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*o**3 + 3*o**2 + 8*o**3 - 83*o - 2*o**3 wrt o.\nAnswer: -72*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211001211 - -11022212?\nAnswer: 222101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/21)\/((-36)\/(-42))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 4*q - 10*q + 59*q.\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2208 = 2198 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 83*s**2 - 910*s - 28. Determine t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 557709*p**6 + 14*p**3 - 848823*p**2 + 2*p?\nAnswer: 66925080*p**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -21. Let w = d + 3. Let l = w - 3. What is the biggest value in 2\/7, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 540 or -2?\nAnswer: 540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240*k**3 - 1413.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 214 - 76 = -28*t + 3*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 649817 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046308 is divided by 94.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1156*z**2 - 577*z**2 - 582*z**2. Let r(h) = 25*h**2. Calculate x(r(l)).\nAnswer: -1875*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 0*u + 1\/12*u**3 + 1\/4*u**2 - 3. Let i(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 12*v. Let y(m) = m**2 + m. Determine -j(b) + 4*y(b).\nAnswer: b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4278, 1888 in increasing order.\nAnswer: -4278, -26, 1888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150396900 divided by -5.\nAnswer: -30079380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 2*g - 8. Let a(h) = -2*h + 7. Let m(z) = 3*a(z) + 4*s(z). Differentiate m(r) with respect to r.\nAnswer: 16*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57457?\nAnswer: 57457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 330*t**2 - 5617*t - 307. Calculate q(-312).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 11. Let p be 3\/9 + 2\/t. Suppose p*g - 3*g + 15 = 0. Let j(f) = f**2 - 4*f + 3. Determine j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -443\/3 (c) -3 (d) 0.045 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.041.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -322 + 161 - 11*i**2 + 156. Let h(q) = -q. What is z(h(p))?\nAnswer: -11*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100000 - -100110011111?\nAnswer: -100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r - 11. Determine o(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from xegeegggxlle?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2358 from 0.134.\nAnswer: -0.1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8649.171 tonnes to milligrams.\nAnswer: 8649171000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 430*b**2 + 263*b - 2895. Calculate u(-144).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 5*j**2 + 7*j + 5. Let u be f(-6). Let b = -109.3 + -49.6. Let c = b - -159. Sort -4, u, 0.3, c.\nAnswer: -4, u, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m = -35*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -208, -220, -244, -280, -328?\n\"Answer: -6*j**2 + 6*j - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -1155, -1689, -2189, -2655?\nAnswer: -3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 40258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 172*j**2 - 1004*j - 142436. Give f(-171).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 13 = -6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 24*q**2 + 40*q + 4. Is f(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-126)*(-3)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 56, 90, 128, 170, 216, 266?\n\"Answer: 2*w**2 + 24*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7134568 (base 10) in base 7?\nAnswer: 114433330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**7 - t**3 + 1. What is the third derivative of q(b) wrt b?\nAnswer: -840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4*z = 18. Solve -3*v - 3 = -z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 + 4040*x + 285696 = 0.\nAnswer: -3968, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 16 = -83 - 29 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 26. Solve 0 = -4*g + 6*g - v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22655 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2193 by -1922.\nAnswer: -2193\/1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-538)\/(-11)*(-177798)\/5286. Let l = 18096\/11 + a. Let k = l + -53747\/2643. Calculate the common denominator of k and 28\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299535.8 rounded to the nearest 100?\nAnswer: -299500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*g - 66, f + 4*g = -f + 14. Suppose f + 47 = -s. Let q be (-5)\/(-35) + s\/(-42). Which is bigger: q or -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:01 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -11. Let o be 74\/(-6) + (-3)\/w. Calculate the remainder when 11 is divided by o\/9*(-4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642533 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 5 + 27 = 0. Suppose s - 1 = o, -5*s - g*o + 0*o = 23. Sort -4, -8, s in decreasing order.\nAnswer: s, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {b: 1, u: 2, n: 5, p: 2, l: 2, e: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1252, -329, -4630, -13013, -26840, -47473?\nAnswer: -76274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 + (-4 + 51 + 3 + (-2 - 4 + 4)*(1 - 4 + 2))*(5 + 0 - 3))*(-16*r**5 + 0*r**5 + 4*r**5).\nAnswer: -1236*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 180\/30*(2 + (-2)\/(-4 + 6)). Solve 4*a - u - 12 = -2*d, 0 = -3*d + 4*a + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59441528?\nAnswer: 2, 1873, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*l - 4, -l - 3*o = -8*o - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 - ((-4 - (-5 + -3)) + -7).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 49, 88, 131, 172?\n\"Answer: -c**3 + 11*c**2 + 3*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8654693*k**2 + 451087 wrt k.\nAnswer: 17309386*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, c: 9, u: 1, q: 2}. Give prob of sequence gqcu.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -300, -311, -326?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -30 + -27 + -6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/3, -13\/4, 0.3, -2\/15, -5, 33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5755 - 2174. Find the first derivative of -d*l + 45*l**3 - 45 + 3580*l + 8 wrt l.\nAnswer: 135*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 821226 divided by -6.\nAnswer: -136871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, -167, -476, -885, -1394, -2003, -2712?\nAnswer: -3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -4 - (-5 - 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1819 and 478397?\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4319.3854 + 4328. What is x rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - (17 + -12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 14*o**2 - 27*o + 47. What is p(11)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 2*k. Suppose u - 6*g + 2*g - 44 = k, -3*u + g = -110. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/750*140)\/(16\/(-120)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 119 = -62. Solve k*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3 = 0, -2*c + 18 = 5*h + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15394597717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and 23\/45660.\nAnswer: 45660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 16, -10, -40, -74, -112, -154?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-12) - 5\/15. Let g be 5 + v + 1 + -1. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 4*k + 12, 14 = -w + 4*k - 2*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -6773b?\nAnswer: 67742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20745 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**0*h)\/h)**33*(h*h*h**(-2\/3)\/h)\/h*h\/(h**(-8)\/h))**39 assuming h is positive.\nAnswer: h**1651","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 40 = -4*j, -2*i - 5 - 5 = 0. Suppose j*d - 20 = -0*d, 0 = 2*t + d - 10. Calculate the remainder when (-938)\/(-10) - (-5)\/75*t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 8. Let i be o(8). Suppose i = 4*j, 2*j + 0*j = 4*g. What is the units digit of (g\/6)\/(4\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3206 - 17?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 77*h - 4765. What is u(29)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2966283 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -442263.2 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*n**4 - 1822 - 3*n**3 + 7*n**2 + 3653 - 1828 in the form l*n**2 + d*n**4 + k*n + u + t*n**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2 - 302145*a - 604302 = 0.\nAnswer: -2, 100717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*n = -13, 2*n = -0*w - 3*w + 22. Let s be w*(-7)\/98 + (-20)\/(-119). Which is the third biggest value? (a) s (b) -5 (c) 0 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, t: 2, i: 4, b: 2}. What is prob of picking 1 i, 1 t, and 1 b?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.952 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9664 and 19328.\nAnswer: 19328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - -5.5323\nAnswer: 5.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40252 - 3?\nAnswer: -40255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -5, -2, 3\/199?\nAnswer: 3\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 0.9, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -161638, -162893, -164148, -165403, -166658?\n\"Answer: -1255*n - 160383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 e, and 1 t when four letters picked without replacement from {e: 1, t: 1, a: 1, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 + u. Let r(o) = 126*o**3 + o**2 + o. Calculate r(t) - w(t).\nAnswer: 127*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -1.9. Let a = 20.6 + n. Let d = -19.064 + a. What is d rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**3\/6 + 5*b**2 - 4*b. What is the first derivative of u(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c8c (base 14) to base 3.\nAnswer: 21011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 47*z - 111. Give y(-49).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Suppose 0 = 5*y - 6*y - g. Let o(r) = -r**2 + 1. Let j(b) = -7*b**2 - 3*b + 5. Let u(v) = j(v) - 6*o(v). What is u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 + g**2 - 3*g + 3. Suppose 3*w + 5 = -2*x, 5*w - x = 4*x + 25. Let m be u(w). Sort 4, -40, 2, m in ascending order.\nAnswer: -40, m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 751*l**4 - 7*l**3 - 199*l**2 - 934*l**4 - 8*l**3 + 15*l**3 + 1 wrt l.\nAnswer: -4392*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 5. Let u = 7 + v. Factor 4*g**u - 4*g**2 + 2*g - 6*g**3 - 4*g**3.\nAnswer: -2*g*(g + 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + 463. Suppose 0 = -13*i + 8*i + r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6 = -5*v + v, -5*v + a + 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 88 - 342 - 26 - 40*k. Determine h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 35*o + 2. Let m be d(17). Suppose 0 = 8*z - m + 102. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 + 12826*a - 16 + 9 - 12826*a.\nAnswer: -6*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4 - 5*o**2 + 2 + 6*o**2 - 2*o + 2*o**3. Let z(y) = -8*y**3 - 4*y**2 + 9*y + 9. Calculate 9*m(s) + 2*z(s).\nAnswer: 2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11832\/(-928))\/((2\/16)\/((-1)\/3*-1))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 20*q**2 + 4195*q - 5148. Determine h(-211).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12773710 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2905 - 0.4.\nAnswer: -2905.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -113 + 841. Suppose -2*j - 3*q = -13, -5*j + 27 = 4*q - 2*q. Suppose 4*c + 222 = 2*p, -3*c - j*p - 170 = -3*p. Is m greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19766 divided by -60.\nAnswer: -9883\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -45830 to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r - 1. Let y(w) = -6*w**2 - 5*w + 4. Let b(j) = -5*g(j) - y(j). Calculate b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in 1\/7, -0.2, 2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**2 - 5544*n + 215360 = 0.\nAnswer: 40, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**10\/m)**49*m*m*(m\/(m*m**(-1\/8)))\/m*(m\/(m\/m**(-2\/3)))\/m assuming m is positive.\nAnswer: m**(11747\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*b. Let l be (-4)\/26 + (-871)\/(-169). Differentiate 5*o + 24 + 10*o**2 - l*o + b*o wrt o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -61, -115, -191?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0314925336 to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-1 + 10\/5). Suppose -4*i + 0*z - 64 = o*z, 2*i - 2*z + 28 = 0. What is the hundreds digit of (-115)\/i*15 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6579*-5.\nAnswer: 32895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Determine f so that -3*f + 0*f**2 + 5*f + 2*f**p - 2*f**3 - 2*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 761316\/47 or 16197?\nAnswer: 16197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, 5 in descending order.\nAnswer: 5, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 801, 784, 787, 822, 901, 1036?\n\"Answer: 2*r**3 - 2*r**2 - 25*r + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(25)\/((sqrt(40)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (0 + (2 - -2)). Let h = -299\/404 + -1\/101. Let q be (10\/65)\/(-3*(-1)\/(-3)). Which is the second smallest value? (a) k (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 64*w**2 + 125*w + 42. Let l be k(-66). What is the greatest common divisor of 112 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 28. Suppose -h*f - 10 = -4*f. Let v = 40 + f. What is the remainder when 263 is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*w**3 + 79*w**2 + 82*w**2 - 161*w**2 - 50*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) + (-4)\/(-2). Let g = -3.5 - -6.5. Which is the closest to l? (a) 5 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48812 = 35*j - 20243. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12087 divided by 2262\nAnswer: -4029\/754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1998 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11803 and 21460?\nAnswer: 236060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -16*j**2 - 466*j - 61. Let o be u(-29). Put o, 2, -2, 7, 1 in descending order.\nAnswer: 7, 2, 1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -2\/5, -20, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4094 and 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5246\/258 - 1\/3. Suppose -3*a + 38 = -5*g, 16*g - f*g - 28 = -2*a. Solve 5 = -b + a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -571 (b) -1 (c) 5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -1 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (683*b + 62*b + 56*b)*((0*b**2 + 0*b**2 + b**2)*(-2 - 5 + 5) + 3*b**2 + 0*b**2 - 2*b**2 + (4*b - 4*b + 2*b)*(3*b - b - 3*b) - b**2 + 0*b**2 + 0*b**2).\nAnswer: -3204*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**3)**28\/(u*u\/(((u\/u**(-4\/15))\/u)\/u)*u)**41)**30 assuming u is positive.\nAnswer: u**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-9))\/(1\/(-3)). Suppose 0 = -0*o + 3*o - 27. Let h = o - 5. Sort 0, h, r in ascending order.\nAnswer: r, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134341 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10122012200102?\nAnswer: 10122012200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2208 and 768.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57342\/4663 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x + 4*w = 20, -5*w - 25 = 0. Let k be (7 - x) + -3 - -2. Put -1, k, -9, -3 in decreasing order.\nAnswer: -1, -3, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 c when four letters picked without replacement from cececccexxcc.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4903, -4899, -4895, -4891?\n\"Answer: 4*m - 4907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22785, 40939, 59093, 77247, 95401?\n\"Answer: 18154*r + 4631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 219, 333, 467, 627?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 23.5 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502419 is divided by 31398?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017651 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 225414 + 226618 = 31*m + 78*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -103100 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (0 + 19 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -746 - -1089. Suppose -s = p + 492. Is ((-2)\/5)\/(1\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 535*u**4 + 2*u - 982 wrt u.\nAnswer: 2140*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/41432 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 smaller than -337.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7)*7\/(-3). Suppose 6 = -5*x + 16. Factor 2\/3*h - 2\/3*h**x - d*h**3 + 2\/3.\nAnswer: -2*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 77. Suppose 9*k = 52 + 92. Calculate the remainder when u(0) is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -c - 6 + 2, -3*c + 4*d - 56 = 0. Let u = c - -68. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752 a factor of 343989687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j + 11. Let u be ((-7)\/5 - -1)*-5. Let w(r) = 6 - 3*r + u*r - 3*r. Suppose 3*z + 33 = g + g, 0 = 4*g + 3*z + 69. What is g*y(h) + 11*w(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261300?\nAnswer: 2, 5, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 1\/12*u**4 + 0*u - 1\/9*u**3 + 2*u**2 + 0 + 1\/180*u**6 - 1\/30*u**5. Find z such that l(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094226598 rounded to 4 dps?\nAnswer: -0.0942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30\/495*187\/34\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12169207.059 and -1457.\nAnswer: -12170664.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/6)\/(-1) + 361\/(-285). What is the closest to -4 in 3\/4, 4\/7, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let k(m) be the first derivative of 0 - 7 - 1 - m**2 - 5. What is u(k(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*i = -35. Let a(d) = -3*d + 4. Calculate a(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24963 and 472413.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/24 + 6486\/8. Suppose 5*p - j - 670 = 0. Suppose -2*y = -606 - p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009270217 to six decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*i + i. Suppose -14*r - 42 = -i*r. Let w = 25 + r. Solve 0 = -c - q - w, -4*c = q - 5 + 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3955*c + 3960*c = k + 164, 2*k = 4*c - 136 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470972?\nAnswer: 2, 3, 37, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30479 + 15236 + 2103*r + 15282 wrt r.\nAnswer: 2103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11105147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 6231*j\/2 + 9351.\nAnswer: -(j - 3)*(j + 6234)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -369\/11 - -5233\/176. Calculate the common denominator of w and (-2)\/44*(1 - 68).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - sqrt(121)*2)*-2 - -1*-2*sqrt(121))\/(sqrt(539)*-2 - sqrt(44)\/sqrt(4)*-6).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/8 - (1 + 28\/(-16))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1520\/(-192))\/19*-4)\/(105\/(-1071))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334945 is divided by 542?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6570363 to the power of 1\/2, to the nearest integer?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 106 - 274 = 2*n, -4*n = -5*b + 380. Let j(v) = 3*v + 42 - b + 39. Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -3*c + 33, -1497*n + 1493*n + 38 = 6*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1 + 19\/2*z**3 + 74*z**2 + 19\/6*z**4 + 0*z. Differentiate g(f) with respect to f.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51970.021 - -51949. Let m = -21.99 - o. Round m to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 79 + -72 - (-138 + 2)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 15 + 15. Let u(t) = 39*t - 2. Let f be u(p). Let a = f - 197. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:14 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 814787 to the power of 1\/2, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3 = -1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 798 and 29887?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 + n**5\/30 - n**4\/24 - 2*n**2. List the prime factors of o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) + 1352\/28. Let z be ((-13)\/(65\/c))\/(6\/(-20)). Let t be (720\/z)\/((-1)\/(-172)). What is t rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4369 (base 10) to base 5\nAnswer: -114434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6593425 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: Suppose -23*q - 154 = -200. Let w = -2 + 2. Suppose q*a - 2*s + 3*s - 18 = w, -s + 42 = 5*a. Solve -a = -l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + g**3 + 56*g**2 - 6*g - 6 - 52*g**2. Give x(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x - 12. Let f be j(-3). Let a(h) = -h**2 + f - 6 + 2*h - 14. Let z(p) = -p**3 - 5*p**2 + p + 7. Let q be z(-5). Give a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u - 3*n + 554, -1102 = -4*u - 3*n. Suppose 0 = -a + u + 204. What are the prime factors of a?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5772 = 4*s, 1696 + 1195 = g - 3*s. Differentiate -68*r**4 + 2888*r - g*r + 102 wrt r.\nAnswer: -272*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/36)\/(1\/((-2)\/(-3)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 144 = -3*z, -6*k + 2*z = -5*k - 48. Let s = 49 - k. Let l be 3\/s*8\/108. Which is the second biggest value? (a) l (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5338.222 nanograms to milligrams.\nAnswer: 0.005338222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)\/(2\/2). Let v = 12.5 - 12. What is the nearest to g in v, -0.5, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003928 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 720300499 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17627 + 26284. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*sqrt(1088) + -3.\nAnswer: -8 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-8))\/((-4)\/48). List the prime factors of l\/(-12) - (-3)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10228042 (b) -0.011 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5032 - -5489. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (-32 + 22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let f(o) = 15*o - 10. Let s(d) = 17*d - 12. Let t(r) = -4*f(r) + 3*s(r). What is -2*n(h) - t(h)?\nAnswer: 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1849088693 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19124*x**3 - 19384*x**3 + 39624*x**3.\nAnswer: 1116*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151371290 is divided by 2441.\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.008334228?\nAnswer: 0.033336912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, l: 9}. What is prob of sequence yll?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:01 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -6\/7, 0.05, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 6*n + 16. Let v be r(8). Are 2 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15)*(-243)\/432*4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10339 less than or equal to -10374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*g**5 + 2046*g**4 + 14964*g**3 - 8044*g**2 - 7554*g - 1170 = 0.\nAnswer: -5, -3\/11, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = 2*w - 11, -29 = -5*w - y. Let q(v) = -v**2 + v - 1. Let j be q(1). Let d be 83\/2 + j\/(-2). What is the greatest common divisor of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (4*(-1)\/(-2))\/1. Let z be s + 0\/(-7 + 2). What is the common denominator of (-2 - z) + (5\/9)\/5 and 57\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmamaaaaamam. What is prob of sequence aama?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 + s**2 + 2*s - 4. Let v(a) = -6*a**3 - 26*a**2 - 19*a + 5. Let r(o) = 2*p(o) + v(o). Find c, given that r(c) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-104))\/((-1)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37137 and 0.0511.\nAnswer: -0.018977007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (22719\/(-15))\/((1\/5)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1121805988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3670995 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.003681379 rounded to four dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/6 + 4)\/1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - -10) + -29 - -6) + 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 + 141. What is the remainder when 19 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**8\/5040 - u**7\/1260 - u**6\/1080 + u**3\/6 - 2*u**2. Let c(w) be the first derivative of t(w). Factor c(d).\nAnswer: -d**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7207883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 2*h - 6. Let c be g(-2). Suppose -v + 4*f = -5*v - 8, -2*v - 10 = 4*f. What is the remainder when c + -4 + 20*v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 176, 269, 362?\n\"Answer: 93*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -249*b**3 + b - 3 - 2*b**2 + b**4 - 262*b**3 + 503*b**3 - 2 in the form n*b**3 + r*b + w*b**4 + h + t*b**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -114607.201.\nAnswer: -114607.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.64 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414124 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 48. Let u = 45 + k. What is the closest to -2\/5 in -2, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o - 5*g, 4*g + 14 = 5*o - 0*g. Find the second derivative of 3*b**3 + 12*b**3 - 4*b**3 - b - o*b wrt b.\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 55*u - 157. What is m(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*o**3 - 669*o**3 - 668*o**3 + 2014*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 2, k: 1, f: 1, j: 4, p: 4}. What is prob of picking 1 f and 2 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1100100010 (base 2) to base 4\nAnswer: -30202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**5\/60 + v**4\/24 - 5*v**3\/3 - 3*v**2 - 62. Let a(n) be the third derivative of l(n). Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3929 - 223?\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 31. Let u = 18 + x. Let r = -0.1 - 0. Which is the nearest to -0.1? (a) r (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 136957, 2, -1, 3 in ascending order.\nAnswer: -1, 2, 3, 80, 136957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6877, -6879, -6881, -6883?\n\"Answer: -2*w - 6875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 218*o**2. Let n(p) = -2*p. Calculate n(m(y)).\nAnswer: -436*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 20 = -d. Let m be d\/6*(-11 - -8). Find the third derivative of 4*z**4 + 0*z**2 + 5*z**m - 14*z**2 - 6*z**2 wrt z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/((-21)\/27*1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17*q**2 + 183*q + 308. Let r(i) = 4*i**2 + 46*i + 78. Let d(w) = 2*c(w) - 9*r(w). Let t be d(-22). Solve -3*x = 3*l - 9, x + t*x = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -76, 75, 304, 623, 1044, 1579, 2240?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzz when four letters picked without replacement from {k: 2, y: 1, s: 1, z: 7, h: 4, v: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-150))\/(6\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2 + 359*m - 3975. What is b(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/10 and -89\/58554768.\nAnswer: 292773840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*k, 5*w - 33 = 4*k + 3. Solve 4*v + 4*j = 6*j + 28, j + w = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 1) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) 60 (c) -2\/11 (d) -68 (e) -4 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let i be (-3)\/(3\/(-2)) - 6. Let x be (1*8)\/(6 + i). Let f(o) = o**2 + 0*o**2 - x*o**2. Calculate a(f(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 6*y + 2. Suppose 5*i + 12 = -l, -3*l + 21 = -0*l - 4*i. Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 2. Suppose -31 = 3*f + 23. Let j be (f\/(-10))\/((-24)\/(-80)). What is a(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-65))\/(2054\/507338).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-5)\/2)*230\/69.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + 137\/3 + -1. Let s = v - 52. Is -8 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjkkjk. Give prob of sequence kk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1171504 and 107\/146438.\nAnswer: 1171504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2*w = -2*w - 4, 0 = 2*w + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-497)\/84 - -6)*3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 754656 = -5*g - 754630, 4*g = -2*y - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**5 + 2*c**4 + 8*c**3 + 6. Let w(b) = b**5 - b**4 + 1. Let f(q) = -2*v(q) + 12*w(q). Find p such that f(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 498 - -107. Let w = x + -364. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2. Let s(g) be the first derivative of -7451*g**2\/2 - 9892. Calculate s(p(j)).\nAnswer: 14902*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5640, 22372, 50208, 89154, 139216?\nAnswer: 200400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 2. Let b = 41 + -20. Let k(m) = 3*m**2 + 7*m - 7. Suppose 16*q + 42 = 9*q. Calculate b*r(n) + q*k(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/5 - 17244*s**3 - 248396880*s**2 - 1204184438500*s - 123720703905750 = 0. Calculate s.\nAnswer: -14335, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 34*i - 35*i + 3 = 0, -5*l + 4*i - 21 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 7 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esse when four letters picked without replacement from {s: 13, e: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/2)\/y*y*y**8)**(-38)*y*(y*y**(5\/4))\/y*y*y**(-3)*y**(-2\/19)\/y**(2\/5) assuming y is positive.\nAnswer: y**(-151717\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 104158?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/27 + (-418)\/(-6). What is the greatest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41 + -102726.\nAnswer: -102726.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 1245\/11. Let f be (-6)\/35 - (-23)\/((-1610)\/(-40)). Which is the biggest value? (a) 0 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let k(c) = -4773*c**2. Determine k(f(z)).\nAnswer: -4773*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (10\/(-55) - (-93)\/(-33))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 1514 = -1778 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - o**2)*(-o + 2*o**2 + o)*(-3*o + 3*o - 9*o).\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 7. Let o be v(5). Let l be 1*0\/(-1 - o). Suppose -w = -l*w - 5. Solve 0*m - i + 20 = w*m, 3*m - 3*i = 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 4*o**3 - 2*o**2 - o**2 + 4*o.\nAnswer: 4*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 r when four letters picked without replacement from {r: 3, w: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (525\/4095)\/((-30)\/(-4)*(-4)\/(-36))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4402 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4330.6134 - -4331. Let m = 63.61 + -64. Let v = r + m. Round v to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6985\/220)\/127*45\/(-2)?\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/10 + 7*w**5\/30 + w**4\/24 - 13097*w**3\/6 - 18*w**2 + 7*w. What is the first derivative of p(s) wrt s?\nAnswer: -36*s**2 + 28*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 9. Differentiate 13*v**3 + 14 - 19*v**z + 19 - 20*v**3 wrt v.\nAnswer: -78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/8880 and 109\/270.\nAnswer: 79920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 >= 1532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -20*q - 682. Let v = q - -64. Factor -1\/5*m**3 + 0 + 0*m**v + 1\/5*m**4 + 0*m.\nAnswer: m**3*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {o: 6, p: 4, u: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -7. Let b be ((-14)\/q - 2)*9. Suppose -g - 8 = -b*g. Let r(v) = v - 7. Give r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (20\/(-5) + 6 - 1) + 3 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2 + 3)\/1. Let a be ((-1)\/(n\/(-18)))\/2. Suppose -h + a*h - 4 = 0. Is 2 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**3 - 11*a. Let n(b) = b + 69. Let i be n(-24). Suppose 5*w - 10 = i. Let s = 8 + -2. Let y(z) = 9*z**3 + 6*z. What is s*f(u) + w*y(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -197*t - 18915. Determine g(-96).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*2)\/(-2*3\/(-1098)). Suppose 0 = 2*x - 5*o - 1013 + 226, j = x + 3*o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41001 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:04 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2020 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -311989 - -1723942\nAnswer: 1411953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -33, -96, -215, -408, -693?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202201120 (base 3) to base 12.\nAnswer: -88b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244982520 to the power of 1\/2, to the nearest integer?\nAnswer: 15652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32483*v - 260 = 32493*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37070448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 51 = -4*b, 0 = -4*i + 3*b - 34 + 238. Suppose -i = -10*n + 4819. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -53*g**3 - 14*g**2 - 3*g + 15. Let t(i) = -27*i**3 - 8*i**2 - 2*i + 9. Let c(z) = -5*t(z) + 3*v(z). What is c(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, g: 4}. Give prob of picking 4 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526 divided by 8884.\nAnswer: -263\/4442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u - 5. Let f(d) = d**3 + d + 5. Let c be f(0). Suppose -2*l + 2*s = -8, -3*l + c*s = -4 - 6. List the prime factors of j(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24114 - -114?\nAnswer: 24233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = -5*f, -f - 2*f + 3*t + 6 = 0. Suppose f*m = -3*o - 8, -3*o - o - 7 = -m. Which is greater: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675001.\nAnswer: 233, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 20 = -5*f, -2*x + 2*f - 3 = -11. Suppose 5*t - 8 = q + 22, x = 4*t - 2*q - 18. Let l = 26 + t. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 5*a**8\/2688 + 8*a**7\/105 - 187*a**6\/960 + 9*a**5\/80 + a**2 - 22*a. Suppose p(s) = 0. Calculate s.\nAnswer: -27, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 95 - 163. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:37 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -330?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-177)\/30 - -3 - (-20)\/8. What is the nearest to 4\/15 in -4, 4, -0.01, f?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*q - 3*j, -1 = -q - 137742*j + 137740*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p - 22*p - 22*p)*(3 + 1 + 1) - 6*p + 3 - 3.\nAnswer: -171*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67.9 + -67. Let a = z - 1. Sort 0.3, a, 3, -2\/5 in decreasing order.\nAnswer: 3, 0.3, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 26988*i - 80937.\nAnswer: -3*(i + 3)*(i + 8993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3*c**4 + 1\/3*c**6 - 7*c**2 - 16\/3*c**3 + 0*c - 87 + 16\/5*c**5. Factor x(p).\nAnswer: 2*p*(p - 1)*(p + 1)**2*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 489, 562, 635?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u + 5. Let n be z(0). Sort 3, -6, n in descending order.\nAnswer: n, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 20*n**3 + 221*n**4 + 18*n**3 - 222*n**4 + 1100 as a*n**2 + r*n**4 + x*n**3 + p + g*n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s - 30. Let x be s\/(-8) + -1 + 1345\/10. Let m = -131 + x. Which is the closest to 0? (a) 5 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + d = 2, -26*s + 21*s + 0*d - 27 = 12*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l**3 + 15*l**3 - 15*l**3)*((-2 - 65*l + 6*l + 1)*(3 - 6 - 1) - l + 2*l + 2*l).\nAnswer: 3585*l**4 + 60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/2 (b) -1\/2 (c) -0.03 (d) -28\/11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15760567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 56386*v**2\/3 + 9398*v\/3.\nAnswer: -2*v*(v - 4699)*(6*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5292)\/(-180) + -42 - (-13)\/1. What is the closest to q in -0.2, 0.1, 2, 7\/156?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let v(r) = -35*r**2 + 14*r**2 - 4*r**2 - 5*r**2 + 3. Determine v(d(o)).\nAnswer: -30*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let a = -362 + 358. What is the nearest to t in -2\/3, -1, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 18034.\nAnswer: 63\/9017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2. Let j(z) = 2*z + 6*z + 3*z**2 - 3*z - 4*z**2. Let d be j(n). Solve 5*l + 20 = 0, -4 - d = 2*m + 5*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 25. Let d(c) = 4*c + 99. Let t(f) = -2*d(f) - 9*s(f). Calculate the remainder when 65 is divided by t(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 5:45 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 49 = 1. Suppose v*r + 18*h + 33 = 23*h, 3*h = -2*r + 7. What is the biggest value in r, 5, 0.18, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + ((-15)\/(-30))\/((-8)\/18). Which is the nearest to 0? (a) -9 (b) m (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**3*y - 3*u**3 + 2*u**2*y - 178*u - 3*y wrt u.\nAnswer: -126*u*y - 18*u + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3, -3*s - 3*y + 1458 + 486 = 0. Let f be (-76539)\/s - 2*(-4)\/14. Which is smaller: -115 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 12 - 1 - 1) + 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(189)\/(sqrt(9)*-1) + sqrt(21))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 957*c**3 + 4*c**2 - 72*c**4 - 957*c**3 - 4*c**2 + (1087 - 1087 - 32*c)*(-c + 2*c**3 + c) to v*c**4 + w + x*c + g*c**2 + n*c**3 and give v.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1154 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 12:04 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255 (base 8) to base 14.\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + (1 - -11) + -55 + 37\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 509, 1948, 4365, 7796, 12277, 17844, 24533?\n\"Answer: 6*v**3 + 453*v**2 + 38*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + -2 + -3*sqrt(2299).\nAnswer: -22*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 - d + 6. Let s(j) = 11*j**2 - 2*j + 13. Let z(g) = 4*s(g) - 9*x(g). Let k be z(2). Let q be (-1 + -5)*(-2)\/k. Sort 5, 2, q.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 - 12*l - 7. Let v(m) = -m**2 - 8*m - 10. Let q be v(-8). Let i be s(q). Let y = i + -163. Is y a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-28)*((-6)\/15)\/(-2). Let c(p) be the first derivative of 1\/6*p**3 + i*p**2 + 1 + 0*p. Factor c(s).\nAnswer: s*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -506 + 522. Let c be (y\/(-100)*-5)\/((-17)\/(-85)). Let w be (-1 + 6*1)*1. Solve -4*g = -c*i - 6*g + 12, -2*g = -w*i + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 2*w + 6 = 6*p, 3*p = -5*w + 15. Suppose -4*s + 0*s + 36 = p. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 17796*t**2 + 18 + 10 - 29.\nAnswer: -17796*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 1, k: 4, q: 6}. Give prob of picking 1 f, 1 q, and 1 s.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmmttmmmqmi. What is prob of sequence qtit?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**30\/s*(s\/s**34)\/s)\/((s*s\/(s*s\/s**2))\/(s**(-14\/9)\/s*s)) assuming s is positive.\nAnswer: s**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17 - 74)*(8*z**5 - 7*z**5 - 10*z**5).\nAnswer: 774*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 2*s + 4. Let u be f(-4). Suppose -5*t - 4*h - h - 10 = 0, 0 = 5*t - 3*h + 34. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, w: 1}. Give prob of sequence wrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j + 85 = 603 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**6\/135 - 2*u**4\/27 - 4*u. Solve o(c) = 0 for c.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/18*24\/32)\/(-1) + -17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -153*c - 150*c + 288*c. Let s(n) = 14*n**2. Let m(o) = -1. What is c*s(w) - 2*m(w)?\nAnswer: 14*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a7b5c (base 13) in base 9?\nAnswer: -4051112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 2?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**6\/180 - m**5\/15 - m**4\/3 - 8*m**3\/3 - 20. Let c(v) be the third derivative of w(v). Factor c(j).\nAnswer: -2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/22 and (1*1\/(-48))\/(35\/9730)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z**2. What is b(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396627435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.04, 5, 2\/11, -216\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 5*x**2 + 4*x - 2. Calculate o(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -2*n**4\/3 - 3*n**2 - 59*n. Let t = -15 - -17. Let v(j) = -6*j**t + 2*j**2 + 0*j**2. Determine v(h(u)).\nAnswer: -1024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-2))\/(-2))\/(3\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {l: 2, t: 1, s: 1, y: 1, a: 2, p: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103113230031 - 130?\nAnswer: 103113223301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 537 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-91) + (-5610)\/19635.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from tcttttdddddckcc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, 3, -31.\nAnswer: -217, -31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.4 - 12. Let t = y + 0.59999949. Round t to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10054 - 66527. Let w = x + 41181. Round w to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17787957 a multiple of 1067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6703 < 6679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/179? (a) -5 (b) 3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 69 = -7*w. What is the highest common divisor of w and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-10))\/(243\/720) - -4. Which is the third smallest value? (a) -1.5 (b) 0.5 (c) u (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.841177765 to three dps.\nAnswer: 1.841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 2:39 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + 11*u**2 + u**2. Let n(j) = 3*j + 70. Let s(f) = -2*f - 42. Let g(a) = -3*n(a) - 5*s(a). Give g(t(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 98.7747\nAnswer: 296.3241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*i - 127, 4*q = -6*i + 2*i + 236. Suppose -y + q = 52. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**2 + 2760*q**4 - 2757*q**4 + 1 - 4*q**5 - 1 + 0 wrt q?\nAnswer: -240*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 192115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(45)\/(sqrt(9) - sqrt(63)\/sqrt(7)*-1))**2 + 5*sqrt(5)*-3*-6 + -4.\nAnswer: -13\/2 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/15994 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425 is divided by 185.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*v = 3*v - 1162, -2*q + 3*v - 472 = 0. Let x = -217 - q. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/66 - v**3\/33 - 2*v**2\/11 - 33*v - 14. Let b(s) be the first derivative of g(s). Factor b(u).\nAnswer: 2*(u - 2)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose 2*r = -4*w + 6, y*w - 4*r = 2 - 3. Let f(n) = -4*n + 5*n + 11*n**3 - 2*n + n**2. What is f(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -0.3702.\nAnswer: 2.6298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*24\/198*(-11)\/(-2). Let q(h) = 57*h**2 + 1. Determine q(s).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 77 = 637. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135250275.\nAnswer: 3, 5, 1803337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082544\/7 <= -3.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697725.4l to millilitres.\nAnswer: 697725400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6. Suppose -2*x + 26 = -5*h, -2*x - 9 - 5 = 5*h. Let d be 27\/(-9) + 1*x. What is n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-522)\/(-116) - 6*2\/4. Which is the nearest to 0.02? (a) u (b) -1 (c) 4\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-90))\/((-6)\/(-4))*(-3)\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227205571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 + 81100*d**3 + 328860495*d**2 - 81100*d - 328860500 = 0. Calculate d.\nAnswer: -8110, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqbqqb. Give prob of picking 1 b and 3 q.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/6 - 2*b**2 - 68*b. Calculate m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-226)\/(-40) - (1 + (-16 - -21)) and -61\/836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5536671?\nAnswer: 3, 7, 263651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prjjhybryprj. What is prob of sequence pr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/8*24\/(-48))\/((-3)\/(-2)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by 4.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7109503.2 seconds in hours?\nAnswer: 1974.862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0 + 0)*(357*k - 456*k + 431*k).\nAnswer: 996*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 5, l: 2, y: 7}. Give prob of sequence lss.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/2*0\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*c - 5*j, 778*j - 779*j - 3 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60432371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + g - 1. Let q be p(1). Let b be 848\/176 + (-16)\/(-88). Sort q, b, -4 in decreasing order.\nAnswer: b, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -49*b - 9. Let v(o) = -o**3 + 15*o**2 - 14*o - 2. Suppose -2*j + 25 = 3*x, -5*j - 4*x + 38 = -2*j. Let g be v(j). What are the prime factors of t(g)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390 + 391. Let x be (-3 + 3)\/((w\/1)\/(-1)). Solve x = -18*r + 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 91 = -93 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:06 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/64*4)\/((-3)\/4). Let y(f) be the first derivative of -4\/3*f**2 - 4\/3*f - a*f**3 + 1. Find u, given that y(u) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 4699.52.\nAnswer: -14098.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47\/84 in -2\/15, -1\/4473, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 12. Let y(q) = -1. Let l(d) = d - 3. Let n be (0 - (-3)\/9)*-9. Let b(u) = n*y(u) - l(u). Let x(f) = -5*b(f) + 3*c(f). What is x(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 times -5.28513?\nAnswer: 0.69763716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(405) + sqrt(405)*2)*4*-6 + -4)**2.\nAnswer: -4199168 - 20736*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2318 - -23219\/10. Find the common denominator of t and 67\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 16}. What is prob of picking 2 i?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v**4 + 0)*(6 + 1 - 6) + 466*v**4 + 186955*v - 186955*v.\nAnswer: 464*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 times 1?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.03 - -7.03. Which is smaller: r or 226?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 26. Let m be i*(5 + -2 + -3). Suppose m = 3*f + f - 32. Solve c - 3*p = -f, -2*p + 1 = 2*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 10*c**4\/11 - 12*c**3\/11 - 30*c**2\/11 + 56*c\/11 - 24\/11 = 0?\nAnswer: -2, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 641939*d**3*t**2 + 1176*d**2*t - 2*d + 203*t**2 wrt d.\nAnswer: 3851634*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -629999*x**2 + x - 2. Let k be p(-2). What is k rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 19 - (-66 - -64).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 16*b**2 - 57*b + 908. What is the least common multiple of t(14) and 4328?\nAnswer: 12984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/4 + 343303*a\/2 + 5835862 = 0.\nAnswer: -686572, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + ((sqrt(208) + -1)*-4 - sqrt(208)))*6.\nAnswer: -96*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 43*z. Let l(c) = c**2. Calculate l(y(x)).\nAnswer: 1849*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.87 - -1.87000128. Round h to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*g - 3778472 = 27261892. What are the prime factors of g?\nAnswer: 3, 79, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 934839 and 1051209.\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000264163978 rounded to seven decimal places?\nAnswer: 0.0002642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 24 = 8. Let v = -11 + k. Suppose -209 = -2*b - 0*b + 3*s, 3*b - v*s = 313. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*x - 7. Let r = x + -17. Suppose 0 = r*i + 3*i - 490. Calculate the remainder when i is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -8*p - 4 + 0*p**2 - 1\/12*p**4 + 0*p**3. Let t(r) be the third derivative of 13*r**4\/12 - 8*r**2. Give m(t(u)).\nAnswer: -676*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-5)*3*(6 - 11). Let r(m) = m**3 - 12*m**2 + 7*m - 22. Let o be r(n). Suppose 41 = j - o. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285905381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 334 + 1?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 6) to base 7\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65*25\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -20. Let a be ((-32)\/n)\/(5\/(-3) + 1). Solve 3*g + 5 = s, 0*s = -a*s + g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3132 and 17\/6264.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*a - 30 - 3, 0 = -5*d - 2*a - 72. Calculate the remainder when (-4)\/d - ((-1664)\/56 + 6) is divided by (-62)\/(-4) - 1\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - (-2 + 7 + -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from ieeeeeeiieeiei.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + m - 4. Let a be f(-2). Suppose -a - 4 = s. Is s not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(-1\/2))\/m*m**(-1)*m)\/(m*m**(-2\/9))**(2\/53))\/((m**(-1))**(-27))**(1\/3) assuming m is positive.\nAnswer: m**(-7183\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v - 5. Let s(i) = -i**3 + 5*i**2 - 3*i - 4. Let u be s(3). Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 6*i - 17)*(-2 + 37*i + 2).\nAnswer: 222*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 56\/24)*6. Let b be (-5)\/x - (-3870)\/12. Calculate the greatest common divisor of 57 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87*k**2 - 192.\nAnswer: -174*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1452 and 74\/387.\nAnswer: 187308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-2)\/(-9))\/((-40)\/180).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(13) + sqrt(78)\/(sqrt(36)\/sqrt(6))) - ((sqrt(52)\/sqrt(4) + -5 + sqrt(13))**2*-6 + 2).\nAnswer: -136*sqrt(13) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:02 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -55. Let m be (-19)\/(-7) + 18\/63. Suppose -4*b = 2*h - 22, h + 5*b - 44 = -m*h. Calculate the remainder when g is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdvd when four letters picked without replacement from vvvxxxxxvdvvddvvvdv?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 121?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*j - 92, 5*y - j + 5*j = 96. Suppose -3090 - 1710 = -y*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 3*j**5 + j**5 - j**5 + 4*j**5 - 2*j**5 + (3*j - 4*j + 0*j)*(-5*j**4 - j**4 + 0*j**4).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**4 + d**3 + d**2 - 2*d + 1. Let n(m) = -7*m**4 + 246*m**3 - 489*m**2 + 238*m + 6. Let g(p) = -6*j(p) + n(p). Suppose g(w) = 0. What is w?\nAnswer: -50, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - 0. Suppose 3*l = 4*l + 57. Let w = l + 47. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9429, -3, 368?\nAnswer: -9429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:22 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.0925\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 + 172*y**2\/11 - 338*y\/11 + 168\/11.\nAnswer: -2*(y - 84)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14072 rounded to the nearest one hundred?\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 - -4. Let j be 0 - (0 - (-3)\/15). What is the second smallest value in r, j, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 1\/75565, 0.7, 0.05?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-63)\/(-21))\/3)\/(2\/(-26)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 521124 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229.803ng to tonnes.\nAnswer: 0.000000000000229803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2235 + 11544. What are the prime factors of a?\nAnswer: 3, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29880*m - 61675*m + 30457*m to l + w*m and give w.\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:35 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**2. Let m(q) = -101*q**2 + 6*q - 31. Determine m(l(x)).\nAnswer: -6464*x**4 + 48*x**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*d + 1015, -2*d + 685 = 5*u - 345. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 4*z**2 - 3*z**2)*(-2*z**2 + 3*z**2 - 4*z**2)*(4 + 11 - 4).\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 722*o - 13000. Let h be m(18). What is the nearest to h in 1\/14, 1, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44827912, -89655826, -134483740?\n\"Answer: -44827914*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 + 8. Let o be u(4). What are the prime factors of o + (3 - 3)\/(2\/1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and -88.\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6575497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34988374?\nAnswer: 2, 53, 71, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2101, 4211, 6331, 8461?\nAnswer: 10601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + -2 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 338 + 118. Suppose 5*p - 4*h - 100 = -41, -3*p = -h - 34. What is the highest common divisor of p and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682716165.\nAnswer: 3, 5, 45514411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) + (1*sqrt(176))**2 - -1*(-4*(sqrt(33)\/sqrt(3) + sqrt(11)) + 5*sqrt(176))**2) + -2.\nAnswer: -3*sqrt(11) + 1758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:33 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 0.039356337.\nAnswer: 0.239356337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jte when three letters picked without replacement from njtjtyeggggj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-105))\/((-3)\/9). Find k, given that 2\/7*k - 2\/7*k**3 + 0 + 2\/7*k**2 - r*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2672 + 1292. Let g = f + 11139\/8. What is the common denominator of -23\/22 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243697*x - 731088*x + 243693*x + 243700*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195308301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48621893 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m + 1. Let k be 2\/(8\/(-4) - -4). Let i(c) = -c + k + 1 - 2. Determine 2*b(l) - 6*i(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464563395.\nAnswer: 3, 5, 19, 543349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xppx when four letters picked without replacement from pppxxoeeoxxppxooxxe.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*p + 1300012, -5*v = -2*p + 3*p - 3249996. Round v to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*v = 135, 265 = -g + 6*g - 5*v. Let u = -45 + g. Let s(k) = k**2 - 5*k - 6. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -18*t. Let r be 2567\/(-57) + 302\/8607. Let g(c) = -396*c. Give r*z(w) + 2*g(w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + -3 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-3 - 1\/(-1)). What is the remainder when 15 is divided by ((-2)\/2)\/(1\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00075975384 to six dps.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31379 is divided by 430?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51155 + 48745 = 74*u. Solve -1251 = -11*l - u for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445212 - 2030?\nAnswer: 443142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 19*y + 94. Let z be o(-11). Let j be (-1)\/((-49)\/(-8) - z). What is the closest to j in 0.3, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 7*i - 4. Let k be (-4)\/6*45\/6. Let j be l(k). What is the units digit of 4\/(-2 - (-16)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgbggg. What is prob of sequence gbg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/48*-4 - (-34)\/6. Let w be (-6*3\/6)\/(h\/(-944)). Suppose 0 = 2*n - 3*v - 181, -3*v - w = -5*n - 2*v. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*r + v, r - 4 = 4*v - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8312591 is divided by 1002?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((2 - 6)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (1 + sqrt(13))) + 3 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:19 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 431*v + 3495. Determine d(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 2\/11 (c) -4\/7 (d) -0.5 (e) 1\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5940808 divided by -3112.\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*p + 7*c + 20945, p - 4213 = -4*c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/6 + 237*m**3\/2 - 21949*m**2\/6 + 49827*m\/2 + 196231\/3 = 0.\nAnswer: -2, 17, 679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*m + 62 = 0, 5664*a - 5659*a + 11*m = -392 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831912 times 0.32?\nAnswer: 906211.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406058 and 348.\nAnswer: 2436348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7297 - 2347?\nAnswer: -9644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = 14. Solve 5 = 6*c - z*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5086 + -325.\nAnswer: 4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11470 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15514 + -15514. Which is smaller: q or 1836?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 23*c**2 + 22*c. Let a be h(-22). Suppose 270 = 3*s - a*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*o**3*x**2 - 2*o**2*x**2 + 96*o*x + x**2 wrt o.\nAnswer: 138*o*x**2 - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.759918 and 0.6?\nAnswer: 0.159918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 + q**3 - q**2 + 1\/10*q**5 - 1\/2*q**4 + 8*q. Factor g(m).\nAnswer: 2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -380*m + 286*m + 7144 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 4*h - 130 + 2*h**2 - 4*h to the form y + w*h**2 + p*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*r + 8 = -2*r, -24 = -4*w + 4*r. Let z = w + -2. Let p be ((-1)\/3)\/(4\/(-12)). Put -4, p, z in increasing order.\nAnswer: -4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v**2 - 7787*v**3 + 317 - 3*v**2 + 7782*v**3 + 5*v wrt v.\nAnswer: -15*v**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2973*v - 2959*v - 518. What is the remainder when 90 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-20))\/5*2\/9\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + 11\/3. Solve -v*d + 4*d + 4*s = -2, d = 2*s + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 879 - 875. Let l be 2\/(-4) + k*(-10)\/(-16). Solve -l*n + 7 - 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 3. Let h(u) = -2*u - 5. Let m(x) = -6*h(x) + 11*j(x). Let a be m(3). What is the second derivative of -3*r**3 + a*r + r + r**3 wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 6 - 2*t**2 - 3*t**2 + 4. Let c(h) = 3 - 2*h**2 + 4 - h**2 - 2. Let d(g) = 5*c(g) - 3*v(g). Find the first derivative of d(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 1. Let y = i - 5. Suppose -a - 2 = -y*a. Let b(p) = p - 2. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25444 - 25443.50943. Let t = w - 0.493. What is t rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a - 85. Give v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b - 132*b**2 - 187*b**2 - 1 - 3 - 5*b - 8*b to y*b**2 + k + z*b and give y.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/737 + -31461\/16951. Calculate the common denominator of y and -71\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by (-2 - 22\/(-6))*(-2730)\/(-350).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151255722 and 21.\nAnswer: 1058790054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 67*o**3\/3 - 57*o**2\/2 + 2*o - 28. What are the prime factors of v(4)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-5)*(-420)\/(-1638).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -56 (c) 5 (d) 1.4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(50) + sqrt(50) + (sqrt(4050)*-2 - sqrt(4050) - sqrt(50)))\/sqrt(10) - sqrt(25)\/((sqrt(100)\/sqrt(2))\/sqrt(10))) + 3)*6)**2*6.\nAnswer: -139968*sqrt(5) + 3157056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 56. Let x = a + -10. Let u = x - 13. Which is bigger: -2\/3 or u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 6*i - 12. Suppose 29*h + 2*h - 372 = 0. Determine t(h).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.216335574 + 4469351297.216335574. Let a = -4469351311.00000037 + l. Let b = -22 - a. Round b to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/30 - 3*d**2 - 4*d. Let k(z) be the first derivative of h(z). Let u(w) = -w. What is u(k(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (12 - 4) - (1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0\/(-8) + 340\/(-65) + -1\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/12 - i**2. Let y be v(1). Let q(w) = -w**2 - y*w**2 + 8*w**2. Let g(f) = 3*f. Determine g(q(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-8 + 1 + -3 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25294184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52295417313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -291*y**2 + 5 + 2*y - 232*y**2 + 8*y**3 - 2*y**4 + 533*y**2 as f*y**3 + b*y + m*y**2 + h + i*y**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*(v*v\/v**22*v)\/v*v*v*v\/(v**(17\/5)\/v*v)*v*v*v**(6\/11)*v*v*v\/(v**(-8)\/v*v)*v*v assuming v is positive.\nAnswer: v**(-157\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 43 - 23)*(2*h - 4*h + 3*h).\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117\/4*p**2 + 0 - 1\/4*p**3 - 113*p.\nAnswer: -p*(p + 4)*(p + 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1\/q)**(8\/13))**(-5\/7))**(-7\/3) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 13 + 9 = 2*o, -18 = 2*o - 4*x. Put o, -126, -4 in decreasing order.\nAnswer: -4, o, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1 + (j + j + 0*j)*(-3 + 1 + 4) + j - 3*j + j + (-3 - 1 + 5)*(-2*j - j + 2*j) + (-10*j + 5*j + j)*(-1 + 0 + 0))*(-2 - 2 + 1)*(-125 + 37 - 32).\nAnswer: 1800*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1674 and 4932.\nAnswer: 458676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/32*4*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 2, 1 in ascending order.\nAnswer: -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1254*n**2 + 1994*n + 20. Let l(s) = 418*s**2 + 665*s + 6. Let p(g) = -10*l(g) + 3*u(g). What is the second derivative of p(o) wrt o?\nAnswer: -836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*a - 3, -8 - 1 = -3*s - 2*a. Let g(q) = -q**3 - 3 + 6 - 11*q**2 + 3*q**3 - q**s + q. Is g(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23050 is divided by 22504?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c - 23. Calculate the remainder when l(-23) is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let u = 3 + r. Factor 2*q**3 + u*q - 3*q + 0*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 2. Let t be (-376)\/8 + (1 - 2). Let k = 44 + t. Determine h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-648)\/(-1890))\/(12\/(-112)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 2)\/(178\/356)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 2*h**2 + 3*h - 7. Let x be i(0). Let v(n) = 15 + 1 - n + 2*n. What is the units digit of v(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z + 168 - 192 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {m: 6, r: 4, w: 5}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -858\/19*u + 2\/19*u**2 + 2556\/19 = 0. What is u?\nAnswer: 3, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 287 - 304. Calculate the common denominator of (y\/(-68))\/((-6)\/38) and 71\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6329 or -6328?\nAnswer: -6329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4))\/((-8 + 14)\/(-12)) - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/4)\/s*s*s**39 assuming s is positive.\nAnswer: s**(161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l + 221*l = -8715 + 1059 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 + 6*u - 5. Let w be t(-5). Suppose 0 = -55*p + 60*p + 75. Let m = w + p. Solve -3*d + 0 + 12 = m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 - 7*p**4 - 54*p**3 - 562*p**2\/3 - 287*p - 147 = 0. Calculate p.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and -185543.\nAnswer: -185524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, y: 2, r: 11, z: 2}. Give prob of picking 1 r, 1 m, 1 y, and 1 z.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -20 - (67 - 70)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4714b2 (base 12) to base 10\nAnswer: 1142918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j - 4. Let x be y(-4). Suppose 22 = 4*k + 2. Suppose 2*w + 3 = 3*w. Solve m - k*m = 4*t + x, -w = m + 2*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:43 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 6*z**2 + z)*(5*z + z - 5*z) + (2*z - 5*z + 4*z)*(0*z**2 - 4*z**2 + 5*z**2).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - z. Let q be f(1). Suppose 4*w + x = -7 - 6, -q*w - x = 11. Let o be (-8)\/16 + 2\/4. What is the closest to o in 4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139958 in 2\/15, 0.1, 6\/5, -3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 3*p**2 + p**2 - 2*p**3 - 4*p**2.\nAnswer: 2*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 5*i**3 + 16*i**3.\nAnswer: 11*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 - f + 4. Let y be c(7). Let h be (-18)\/y + (-4 - -1). Let x be h\/(-15) - (-764)\/20. What is the highest common factor of x and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20056 or 220606\/11?\nAnswer: 220606\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 + 36*w - 3. What is the remainder when i(-7) is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 41\/2 of a day?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -243498 + 140635252\nAnswer: 140391754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 11*i + 8. Let x(d) = -d**2 - 3 + 751*d - 376*d - 379*d. Let o be (3 + (1 - 1))\/(-1). Calculate o*t(h) - 8*x(h).\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/3 + 5*z**2\/2 + 4*z + 3. Let i(q) be the first derivative of y(q). Differentiate i(d) wrt d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - f**2 - 7*f**2 - f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16d2 (base 14) to base 15.\nAnswer: -1339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27515 and 218.3?\nAnswer: 27296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7209*j**4 + 195*j**3*u - 27*j**2 + 292189*u wrt j?\nAnswer: -173016*j + 1170*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 138*c**2 - 132*c + 249. Determine y(-70).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 3, -2\/259, -4, 19, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 27 = 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 21*j + 63. Let w be m(-13). Let k be -10 + 5 + w\/2*-2. What is the highest common factor of k and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*l + 0)*(-3*l + 0*l + 4*l) + (2*l - l + l)*(188*l - 61 + 50 - 163*l) to the form o + n*l**2 + p*l and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1403 and 12044206?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 i when three letters picked without replacement from azzzaiiizkilazzikz.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-23) - 96630\/(-8280) and 91\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/3 + (5 - 98\/21). Let m(g) = -3*g**2 + 3*g + 6. Let u(a) = -a**2 + a + 3. Let x(p) = -2*m(p) + 5*u(p). Let c be x(0). Solve 2*r = c*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -38 + 3*m - 41 + 9. Let p be h(28). Suppose -70 = -5*y - 0. Solve -o - 5*d = y, 4*o + 1 = 3*d + p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 3 + 3 + 4*r - 8*r + r + (-r + 0*r - r)*(3 - 3 - 1) - 4*r + 3*r + 3*r + (2 + 1 - 5)*(2*r + 3 - 3).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 3\/5, 0.4, -4, 0.05807?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2303275 is divided by 668?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 1 - ((-1 - 2) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.09 (b) 4 (c) 0.37 (d) -3\/13 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1708*r + 780753. What is f(-457)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, -7, -32, -67, -112, -167?\n\"Answer: -5*j**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 773.622 + -774. Let w = 0.378 + p. Is -0.317 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 42478*s\/5 - 42476\/5.\nAnswer: -2*(s - 21238)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let s be 0*(-1)\/3 - -2. Let r(q) = s*q - 4*q + q. Give r(p(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 67975.019 days?\nAnswer: 9710.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u - 15 = -45*u + 5*y, -5*u + 5*y = -50 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 30. Which is the biggest value? (a) m (b) 1 (c) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 1)\/(15 - 13). Suppose 4*i - 77 + 2 = -5*s, 2*s + z*i - 32 = 0. Solve -5*c + 3*g + g = 11, -c = -3*g + s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 161\/23*(-1 + 7). Suppose i*t = 40*t + 16. Solve 20 = -4*m + t*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*n + 6. Calculate the greatest common divisor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1956)\/(-253) - 34\/(-187)) + -8?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q - 12. Let a(n) = n + 3. Let u(z) = 9*a(z) + 2*o(z). Let s be u(5). Let k = s + 5. Solve -3*j - 2*y = -20, 0*y = -j - k*y + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 77, -35 in descending order.\nAnswer: 77, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1634*o**3 + 4*o**2 + 2*o. Let y be z(-1). Suppose -6*f + y = -1256. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15970 - 15966. Are u and 1.13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*j**2 - 1459 + 1459 + 4*j wrt j?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 2374 - 941 = 0. What are the prime factors of b?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/3 + 260*n**4\/3 + 3168*n**3 + 36874*n**2\/3 - 145537*n\/3 - 57722 = 0.\nAnswer: -217, -38, -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-160)\/60)\/((-8)\/738). What is the greatest common divisor of h and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 65, 97, 129, 161?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 34*i**2 + 21*i + 196. What are the prime factors of a(-10)?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*t - 414, -605 = -17*t + 14*t - v. Let x = 429 - t. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**2 - l**2 + 28*l**2 - 50*l**4 + 46*l**4 wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10981?\nAnswer: 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23553975 and 42573.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/217 (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n + 59. What is f(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30, 57, 84, 111?\n\"Answer: 27*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*j**2 + 4\/7*j + 2\/7.\nAnswer: 2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2 - 19*w - 10*w - w - 29*w - 3. Let u(d) = d + 1. What is l(p) + 5*u(p)?\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 - 759*r - 42 - 21 to u*r + p and give u.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:13 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 5*n + 3*n + (-2 + 4 - 4)*(-3*n + n + 0*n) + 9*n - 7*n + 0*n + (0*n + 2*n - 4*n)*(3 + 2 - 4) to the form h + x*n and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-165) + (-40)\/(-22). Let -64*s**2 + 549*s**4 + 5*s**5 + w*s**3 - 529*s**4 - 16*s**2 - 80*s - 2*s**3 = 0. What is s?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10839532 and -31\/29808713.\nAnswer: 119234852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 2.31, -0.2, 151, -3 in decreasing order.\nAnswer: 151, 2.31, 0.3, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5\/7 - 18708*x**4\/7 + 168240*x**3\/7 - 280300*x**2\/7 - 66750*x = 0.\nAnswer: -1, 0, 5, 9345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + w**2 + 0*w**2)*(-1 + 0 + 2) + 13*w**2 + 21*w**2 + 22*w**2 - w**2 + w**2 + w + 2*w**2 as x*w + v + y*w**2 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/19693671 and -80\/6669.\nAnswer: 2304159507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 373*w**2 + 4581*w + 5205. Determine c(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152661.\nAnswer: 3, 151, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169185*m - 2730*m**3 - 169185*m + 2720*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -143769 divided by 6?\nAnswer: -47923\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1495177 at most -1495170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55)*2*6)\/sqrt(11) + 3)*5 - (-3 + (sqrt(500) - (0 + sqrt(500))*-1) + -3 + 0 + sqrt(500)))**2.\nAnswer: 1260*sqrt(5) + 4941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o - 148 = 162. Which is the closest to 0.4? (a) 6\/7 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -371e55?\nAnswer: 371e51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6617250 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from {d: 4, y: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45\/8 of a millisecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*s - 83045 = -110632 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxqxxqxbxqqxx. Give prob of sequence xb.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4663, 4662, 4661, 4660?\n\"Answer: -i + 4664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3 - 21 = 0. Let d(v) be the first derivative of -5 - 9\/2*v**2 + 0*v - 2\/3*v**w. What is the second derivative of d(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 16*v + 53. Let y be c(-18). Suppose -y = -u - 3*x, -55*x = -4*u - 58*x + 32. What is the smallest common multiple of u and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -53.3 and 17704635.\nAnswer: 17704581.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 + 4*p - 22. Calculate the remainder when 272 is divided by h(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115022015?\nAnswer: 3, 5, 29, 854423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n + 61*n - 1044 = 15*n + 66*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 972, 154, -2, -412 in ascending order.\nAnswer: -412, -2, 2, 154, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13788518.\nAnswer: 2, 6894259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*a**2 + 85*a**2 - 49*a**2 + 111 wrt a.\nAnswer: 224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 753 - 755. Let c = -0.1 + 1.1. Let q = c - -1. What is the second smallest value in w, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11.4 (b) -34 (c) -33 (d) 1 (e) 0.1 (f) -1 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let u = 6156 - 6161. Let x = u - o. Which is the second smallest value? (a) 0.3 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmcm. What is prob of sequence gcm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from {d: 7, a: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -268.3 and 8.\nAnswer: -260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03017689682 rounded to 4 dps?\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i. Let h(g) = g + 12*g - 12*g. Calculate z(h(l)).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 29*y**2 + 26*y - 756. Let p be x(29). Let s(n) = 24*n**2 + 4*n. Let o(g) = 8*g**2 + g. Calculate p*s(h) + 7*o(h).\nAnswer: 8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 + -7.09. Let n = a + 6.7. Let g be -2 - (6\/(-9) - 2). Put -3, g, n in decreasing order.\nAnswer: g, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**2 + 4*q**2 - 2*q**2 + 4*q**2 + 3*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/6, -1, -2515, 4 in descending order.\nAnswer: 4, 1, -1\/6, -1, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 smaller than -103\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -4*q - 5*w, -3*q + 4*q + 5*w + 100 = 0. Let b = 44 - q. Calculate the remainder when b is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.85 - -1.5. Let q = g - -0.338. What is q rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27430 or 27440?\nAnswer: 27430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 17 = -7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.73532 microseconds in nanoseconds?\nAnswer: 39735.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 766433? (a) -0.2 (b) 1\/5 (c) 1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 19.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 39. Suppose -4 = -3*n + 4*b, 5*b - r*b = 6. Suppose 2*o - 26 = -z + 7, -n*z = -3*o + 66. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039013937 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 303350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -28. Let t = 3 - -1. Suppose s*z - t = 2. What is the lowest common multiple of z and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -21, -35, -49, -63?\n\"Answer: -14*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:00 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - 1) + 1)\/((-189)\/18)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 4, d: 9}. Give prob of picking 2 d.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087351547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18366351097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*p - 736*p = 25520 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 20 = -3*f - 4*d, 0 = -3*d + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 5*s + 25 = 0. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115, -825, -2119, -3997, -6459, -9505, -13135?\n\"Answer: -292*m**2 + 166*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.043652 - 58.\nAnswer: -58.043652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 52*z + 78. Let v be r(44). Let d = 391 + v. Let m(b) = 20*b**2 - b + 1. What is the remainder when d is divided by m(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(5394\/2698 - 2)?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*v = -155, 1808*v - 1805*v - 209 = 7*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128 - (-4 - -147)) + 141.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 4*j + 9. Let s be o(-5). Is 4 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157184421341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 691383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 92. Calculate l(-27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64551527 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, h: 4, b: 4, x: 3}. Give prob of sequence hx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301*l + 1166*l - 16*l)*((4*l + l**2 - 4*l)*(1 + 1 - 4) - 4*l**2 + 5*l**2 + 2*l**2).\nAnswer: 1451*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -3 + 7*y - 1\/6*y**4 + 2*y**2 - 1\/6*y**3. Let t(k) = 6*k**2 + 4*k - 11. What is -11*m(z) - 4*t(z)?\nAnswer: -2*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -51*t. Let f(j) = -1477638*j. What is f(v(u))?\nAnswer: 75359538*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**2 + 4199*q - 4190. Give b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvkhhhhhvhkhnh. What is prob of picking 2 h?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*j - 37, -s + 0 - 1 = 5*j. Let p = -1 + 4. Suppose -3*b + 0*w - w + 6 = 0, -2*b = -5*w - 21. Solve 0 = p*n + i - 2 - 9, s = b*n - i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -142, -0.3, 5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 1.2, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*(22\/55)\/(16\/20). Let g(j) = -j**2 - 13*j + 11. Determine g(k).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-447)\/63 + 7)*(6 + 0). Which is the smallest value? (a) h (b) 5\/2 (c) -11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1234\/3 - 405. Calculate the common denominator of h and 19\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84146067 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 440\/7*z + 4\/7*z**2 - 128.\nAnswer: 4*(z - 2)*(z + 112)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvrvvrkrvvvpkv. Give prob of sequence kk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -28 + (2 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1035 by -18.\nAnswer: -115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(-713*t - 1000*t + 687*t) + 0 + 0 - t.\nAnswer: 1025*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35516 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 76 in increasing order.\nAnswer: 4, 16, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-345)*(-102)\/(-272)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/8 + (-38)\/(-4). Suppose 3 = 3*q + n. Let i = -1.5 + 1.6. Which is the closest to i? (a) 1 (b) q (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 630.4095.\nAnswer: -3152.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186316 + -370916. What is c rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4234, 8486, 12738, 16990?\nAnswer: 21242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 474 = 3*w - 1340, 2*w = 3*c + 579. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-54))\/((-1)\/((-55)\/(385\/42)))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 6. Let k(d) = 3*d - 17. Let t be (-1)\/(2\/(-12))*-1. Let l(f) = t*k(f) - 17*h(f). Determine l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 - 9*f + 1. What is w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15955*k**3 - 6*k + k - 6*k + 2*k.\nAnswer: -15955*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let v(t) = -9*t + 3. Let x(r) = -v(r) - 5*z(r). Suppose d + 6 = 5*k - 13, -3*k = 3*d + 3. Is 5 a factor of x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, j: 2, t: 3}. Give prob of sequence pptt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t**2 + 1394735 - 1394735.\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199 + 216. Suppose -o*z = -576 + 236. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 15 = -113. Let h be 2*(78 + 4\/2). Suppose 2*m = -4*g + h, -4*m + 52 + 256 = x*g. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7346*l**4 - 2*l**2 + 23*l - 8 wrt l?\nAnswer: -176304*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0350816 rounded to four dps?\nAnswer: 0.0351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114 + 3918*x + 203 - 317)*(1 + 2 - 9)*(-7 + 2 + 3) to the form z*x + s and give z.\nAnswer: 47016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - 0.1. Let i = -9.9 + 10. Put l, i, 0.2 in descending order.\nAnswer: 0.2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152298 greater than -151869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - g - 238 - 15, 122 = 2*h + 4*g. Suppose 4*u - 52 = 4*l, -l = -17*u + 18*u - 13. What is the remainder when h is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3727.351 milligrams to micrograms.\nAnswer: 3727351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 1. Let s(z) = 24*z**3 + 2*z + 4. Give 4*o(x) + s(x).\nAnswer: 24*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 24*s - s**2 - 13*s**2 - 6. Suppose -4*i = -i + 51. Let g be -11 - (4 - 0 - 9). Let j(w) = 5*w**2 + 7*w + 2. Give g*n(b) + i*j(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/30 - 5*d**4\/12 + 4*d**3\/3 + 5*d**2. What is the least common multiple of f(6) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7760.131271 rounded to the nearest 10?\nAnswer: -7760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-112))\/((2\/2)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2cc - 28?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-21)\/(l**(14\/3)\/l)*l\/(l*l*l**(-23)*l*l)*l**22 assuming l is positive.\nAnswer: l**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1034\/14*28\/(-9888). Let k = z - 60\/103. What is the common denominator of -109\/28 and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 258085 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49 - 162*p - 2069*p**2 + 351*p**2 - 1859*p**2 + 57 wrt p.\nAnswer: -7154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14198.8 + -14200. Which is the third smallest value? (a) 0.1 (b) o (c) 565\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7*s - 6. Let p(a) = 0*a**2 - a**2 + a**2 - s*a**2. Let b(y) = y. Give b(p(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 30, 3, -2\/13, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4\/9 (b) 0 (c) -6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*i + i + 4*v, -3*i = 2*v. Suppose -o - x = -0*x, o + i*x = 0. Suppose -3*c + o*c = 52800. What is c rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 4. What is the second derivative of -3*k**2 + s*k**2 + 4*k - 2*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + r + 2*r + (-3 + 1 + 1)*(4 + r - 4) - r - 3 + 3 + 2*r - 1 + 1 - 30891 + 502*r + 30891.\nAnswer: 503*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 7*t + 2. Let u(h) = h**3 - 7*h**2 + h - 4. Let j be u(7). What is the second derivative of -4*y + 6*y - 2*y**3 + 10*y**3 + t*y**j wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 44. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74865\/16 + -4682. Let g = -69 - -163. Find the common denominator of y and (-3)\/3 + g\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**3 + 100*t**4 + 211*t + 89*t**4 - 2 + 78*t**4 - 268*t**4 as s*t + m*t**3 + j + f*t**4 + c*t**2 and give s.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 48*m = -18*m - 64743. List the prime factors of m.\nAnswer: 7, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2655 + 2654.9991468. What is c rounded to 5 decimal places?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 18 = -4*o - 23, -4*o = -4*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 8:29 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 3*i**2 + 2*i + 1. Let m be q(2). Calculate the remainder when 15 is divided by (2*-2)\/m + 2 + 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/2909 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1435 + 710. Is (-6)\/(-36) - i\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16266 divided by 18\nAnswer: -2711\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3038 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(110\/(-13981)) - (-5 + 2)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116, -597, -1054, -1475, -1848, -2161, -2402?\n\"Answer: 2*z**3 - 495*z + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 68?\nAnswer: 5848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 9*z + 12. Let f(r) = -r**2 + 4*r + 5. Let m(j) = j**3 + j**2 + 2*j + 3. Let s be m(0). Let x be f(s). Give i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - k - 1, -2*w + 343 - 362 = -5*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*g - 2*n - 10998, 2*g - 3*n = 5494. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 + 40*f**2 + 80*f = 0. What is f?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. What is the greatest common divisor of 33 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*i + y, -7*i - 50 = -10*i + 2*y. Suppose i = -2*t + 42. Suppose 0 = -11*j + t*j - 166. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101033301 (base 5) to base 10\nAnswer: -2361701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + 0*l)*(-2*l - 2*l + l) - l - 3*l**2 - 4 + 2 + 2*l**2.\nAnswer: 5*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, -19, 6207\/25 in increasing order.\nAnswer: -19, -2, 0.3, 6207\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 10*q**2 + 3*q + 3. Let r be x(10). Let i = r - 24. Solve f + h = i, 5*f - 5*h + h - 9 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = 6. Let z be 0 - y - 16\/7. Suppose 57*x = 56*x + 4. Which is the third smallest value? (a) z (b) x (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18218 - -18219. Let a be 2\/(-6)*2\/(-2). Put 0.2, j, a in decreasing order.\nAnswer: j, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x - 2 + 15*x**2 + 29*x + (-3 + x - x + 2*x)*(-3*x + x - x) to the form i*x**2 + l + v*x and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0*d + d - 3*d. Let z(i) be the third derivative of -i**6\/80 - 3*i**4\/8 + 8*i**2. Let x(l) be the second derivative of z(l). Calculate r(x(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.10225 and -0.3.\nAnswer: 0.030675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9361.1 + -8933. What is d rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/12 and -143\/266730?\nAnswer: 533460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -22, -1\/7, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428 + 24378?\nAnswer: 25806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {b: 1, g: 1, f: 2, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17336282 divided by -2\nAnswer: -8668141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0 - (2 + -11). Let t be (-6)\/(-9) - (-57)\/j. What is the greatest common factor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let a(m) = -2 + 2 - 17*m + 6*m. Give a(d(g)).\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 34, 180, 472, 958?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 7*i = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 2. Let t = 1 + o. Let v(d) = d**3 - 2*d**2 - 5*d - 3. Let m be v(4). What is the highest common divisor of m and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1635\/10)\/(2\/8). Suppose 8*j - 2*j = -n. Let q = -871\/8 - j. Put q, 0.3, -0.5 in ascending order.\nAnswer: -0.5, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1769, -33, 6 in increasing order.\nAnswer: -1769, -33, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2*3\/(-6). Suppose -n - 24 = -l + 2*n, 3*l + 5*n - 86 = s. Let z = -18 + 32. What is the remainder when l is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24\/67 - 82\/603. Let -2\/9*u**2 - a - 4\/9*u = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86034215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6753398004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -406, -1178, -1674, -1246, 754, 4974, 12062, 22666?\n\"Answer: 108*b**3 - 510*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.45. What is the closest to -0.2 in s, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6753*n + 9358. Let y(g) = 6755*g + 9354. Let b(w) = -6*u(w) + 5*y(w). Differentiate b(i) wrt i.\nAnswer: -6743","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9041 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -1043, -2308, -4089, -6386, -9199?\nAnswer: -12528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*6\/1)\/2. Let q be (28\/6)\/(6\/h). Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3389925 and 339917025.\nAnswer: 3739087275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -371 and 758.\nAnswer: -281218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -177. Let k = 2.05 - 0.05. Which is the closest to 3? (a) i (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**0)\/p*p\/(p**10\/p*p)*p)\/(p\/p**(1\/5))**(-2\/5))**47 assuming p is positive.\nAnswer: p**(-9024\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 0*v + 20\/3*v**4 + 0*v**2 + 1\/3*v**5 + 290 - 10\/9*v**6 - 20\/9*v**3. Find u such that y(u) = 0.\nAnswer: -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 5 in increasing order.\nAnswer: 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 187565603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105034*(-3)\/3612*(-6)\/111. Let v = g - 2\/1591. What is the common denominator of 45\/8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5)*k*k)**(-45))**(-1\/43) assuming k is positive.\nAnswer: k**(-90\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4960765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35615288.\nAnswer: 2, 467, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*x + 9 = -13 - 0, -2*x + 20 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9261 and 1809.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2236 + -2236.5. Which is the biggest value? (a) -10 (b) -5 (c) j (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11489 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5608000 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v**3 - 10*v**2 - 5*v - 20. Let k(d) = -24*d**3 + 20*d**2 + 9*d + 42. Let y(b) = 6*k(b) + 13*l(b). Calculate y(-7).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let a(u) = -2*u + 1. Let q = 6 + -7. Calculate q*a(b) - 3*h(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 152*m - 37. Is k(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - 37. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*r**2 + 38*r**2 + 28*r**2 + 1)*(63*r - 998 + 998) to the form k*r**3 + m*r + a*r**2 + o and give k.\nAnswer: 6111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1527*b - 557?\nAnswer: -1527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.04 - 2. Let d = l - 0.04. Put -1, -2, d in decreasing order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3289 by -4.\nAnswer: -3289\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69 and -28.277914181.\nAnswer: -97.277914181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 9*o + 78. Let r be v(-15). Let p be (-1)\/7*r*(-6)\/(-8). Suppose p*m**2 + 3\/7*m**4 - 12\/7*m**3 + 12\/7*m - 12\/7 = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-1628))\/((2\/16)\/((-120)\/(-1440)))?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p + 7. Let j(x) = -4*x + 8. What is 5*b(d) - 4*j(d)?\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8887106?\nAnswer: 2, 4443553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24 + ((-11)\/(-22) - (-6)\/4). Suppose 0 = 2*y + 3*j + j - o, -5*y - j + 20 = 0. Solve -3*m = -2*a + 16, 0*a + 2*a + 8 = -y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/4 + 55*t**3\/6 - 19*t**2 + 987*t - 1. Factor l(u).\nAnswer: (u + 19)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 + 10*z + (4 + 3 + 3)*(-3*z - 3*z + 4*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/27 - -143\/108. Which is the second smallest value? (a) -0.7 (b) y (c) 1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -17*j + 13. Suppose 0 = -4*n - 8*n - 12. Let g(r) = -r. Let d(t) = n*m(t) + 3*g(t). Differentiate d(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 3*w**2 - 2*w + 2. Let g be u(2). Suppose g*z = 4*z. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 3*s**2 + 3*s + 1. Let f be w(-1). Let v = 53 + -40. Suppose -141 = -f*r - v. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 659*i + 15 + 677*i + 206*i.\nAnswer: 1542*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s = 0. Let i be 1\/(12\/(-2) - -7). Suppose -n + 5*u - i = s, 3 = n - 2*u + u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195817, -391622, -587427, -783232, -979037, -1174842?\n\"Answer: -195805*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/25505321 and -14\/16813.\nAnswer: 25505321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -9. Suppose 3*w + 5*m + 0*m - 17 = 0, -3*w - 2*m = -14. What is the nearest to q in -0.4, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**9\/1008 + d**6\/120 - 7*d**3\/3 + 8. Let t(q) be the third derivative of z(q). What is the third derivative of t(j) wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-12)\/((-8640)\/(-300))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuouuu. Give prob of sequence ouo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*h + 2*h + 12 = 0, -2*h = -8. What is the common denominator of ((-9)\/(-60))\/(3\/34) and p\/7 - (-927)\/84?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2056)\/704) + 9\/72?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 4.94. Let s = -4.79 - -3.79. Which is the biggest value? (a) s (b) v (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 2220221012?\nAnswer: 2220221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 15, 3*v + 310*l - 25 = 315*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1064 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 11*m**9\/504 + m**7\/105 - 7*m**5\/60 - m**2 - 3*m. What is the third derivative of v(i) wrt i?\nAnswer: 1320*i**3 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -21*k + 1. Let r(h) = h**2 + 14*h + 15. Let b be r(-13). Suppose -b*w + t = 1, -2*t = -7*w + 4*w. What is the units digit of f(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.136618841 to three dps.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4 - 67*z**2\/2 - 4378*z + 3716. What is the first derivative of y(s) wrt s?\nAnswer: -12*s**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, f: 1, o: 1, c: 3}. Give prob of sequence foc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Suppose -4*x + 5*g = 13, 3 - 15 = x - 3*g. Let f be 42\/11 + (-12)\/x. Put t, f, 1\/4 in increasing order.\nAnswer: f, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 7\/2*s**2 - 1\/3*s**3 + s - 2. Let o be g(5). Solve -u + 0 = 5*p + 16, 3*p + 2*u = -o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 848, 850, 852, 854?\n\"Answer: 2*j + 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11110*j - 55034. Calculate r(5).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2. Let i be w(1). Let b be (-28)\/(-77)*(12 + -1). What is the second derivative of i*r**b + 14*r**3 + 0*r - 14*r**3 + 4*r wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, 1\/5, 0.1.\nAnswer: 0.1, 1\/5, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 3*f + 3. Let m be g(-3). Let k be (m - 1) + (61 - 2). Suppose -5*b + 99 = -k. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 86*((-105)\/(-1260))\/((-1)\/(-18)). Calculate the highest common divisor of 2623 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -656\/19 - 2\/19*h**3 + 86\/19*h**2 - 148\/19*h = 0.\nAnswer: -2, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y. Let a be j(1). Let p = -5 - -7. Suppose 2 = 2*z - p. Solve -5*i + 2*d + 1 = -a, z*d - 2 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7537662.11 to the nearest one hundred thousand.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10541, -10564, -10597, -10646, -10717, -10816, -10949?\n\"Answer: -i**3 + i**2 - 19*i - 10522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3647\/11 - 331. Let k = -29 - -31. Which is the second biggest value? (a) -2\/9 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4110858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - ((-323)\/(-17) - 25 - (-3 + 0))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -59*a + 40. Let f(y) = 159*y - 119. Let v(o) = -3*f(o) - 8*h(o). Determine v(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2235 and 102803295.\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99897111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-126)\/(-3))*(-28)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**3 + 42*o + 1 - o**4 + 2*o**2 - 42*o - o**4 as t*o**4 + x*o**3 + p*o**2 + a*o + y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.0891 + -0.0751. Let t = q - 0.014. Is -13 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + b - 37, 2*b = -4*j + b - 168. Suppose 1420 = -25*m - 730. Let o = j - m. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from vvvvnnbvvvmvbmmmvvvv?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = 2*o + 2*g, -5*o - 3*g = 102 - 1084. What are the prime factors of o?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:08 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*z + 32*z - 74*z)*(-5*z**4 + 3*z**4 + 0*z**4).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1915, 1928, 1937, 1942?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312412012.\nAnswer: 2, 11, 29, 244837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (0 + 3)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 16, -2, 59432, -1 in increasing order.\nAnswer: -14, -2, -1, 16, 59432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*s + 175 = 0, -10 = -3*y - 4*s + 95. Let a be ((-28)\/y)\/(2\/(-370)). Let v = a + -100. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.83 - 0.8. Let w = 0.23 - x. Let j = 0.47 - 0.17. What is the nearest to -0.1 in w, j, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144351, 288849, 433357, 577875, 722403, 866941, 1011489?\nAnswer: 1156047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 89*l + 2985. Is 15 a factor of i(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5151*c**3*x**4 + 244*c**3*x**2 - 4*c + 2*x**3 + 10*x**2 wrt x?\nAnswer: 123624*c**3*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2*b)\/b*b**(-3\/2)*(b**8*b)\/(b\/(b*b**(-2\/15)*b*b)*b))**(13\/4) assuming b is positive.\nAnswer: b**(4433\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 17*y - 14. Let p be t(16). Solve -p = 3*o - 3*m + 4*m, 12 = 2*o + 4*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.1, 1.37, 1?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301320?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-49)\/35)\/(3\/(-150)). Solve -n = 29*t + 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14 + 2 = 0, -2*y + 24 = 4*n. Suppose -87 = -3*h - 3*i, 2*i - 44 = -n*h + 76. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20006719700 rounded to the nearest 1000000?\nAnswer: 20007000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -21*p + 128. Let g be s(6). Suppose a - 2*a - 6 = 0. Let c be (-2)\/a*18\/2. Solve 5*b = g*b - c, 0 = w - 4*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + 2422201?\nAnswer: 2422333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 661.9503ml?\nAnswer: 0.6619503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 609 and 87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-45)*(-351)\/(-1638))\/(1*-2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64, 129, 184, 223, 240?\n\"Answer: -o**3 + o**2 + 69*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22.74? (a) -3 (b) -1\/5 (c) -0.1 (d) 1\/2 (e) 0.2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 7. Let b be t(-6). Is ((-3)\/((-3)\/b))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by 91.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 0*m**5 + 0*m**5)*(0 + 3 - 1 + (2 + 2 - 3)*(-2 - 3 + 3) + 1 - 2 + 2)*(14 - 16 - 25).\nAnswer: -27*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 0.08 (c) 0 (d) -293 (e) -0.1 (f) -14 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105838857 to the power of 1\/2, to the nearest integer?\nAnswer: 10288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.055, 15, 5, 54 in descending order.\nAnswer: 54, 15, 5, 0.055, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12628380*f**4 + f - 4637190.\nAnswer: -151540560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9030397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 1 - (-230)\/20)*(-174)\/(-957)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 13 - (21 - 18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v - 4. Let h be k(-2). Suppose 2*c - 3*c = -h. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18658723727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 4. Let d = 1 + -4. What is o(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 22*a + 94. Let i(x) = 54*x + 232. Let d(u) = 5*i(u) - 12*l(u). What is d(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*q - 1)*(19*q - 62*q + 29*q) + (-3*q + 2*q + 2*q)*(5*q - q + 2*q) + q**2 + 3*q**2 - 3*q**2.\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d2b8da (base 14) in base 3?\nAnswer: 111100202001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*n - 96, -4*c = 5*n - 3*c - 137. Calculate the greatest common factor of 1708 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -3\/7, 0.1, -5, 60, 356?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149360.2 - -11.\nAnswer: -149349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = d + 12, 3*v = -7*d + 37. Let i(s) be the first derivative of -9\/8*s**2 - 3*s - 27 + 1\/4*s**v. Suppose i(y) = 0. Calculate y.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 777949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:22 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1073*k**3 - 8 - 2162*k + 63*k**2 + 2162*k wrt k.\nAnswer: -6438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*n**2 - 3)*(-5*n + n + 5*n)*(-3 - 1 + 2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 4 = 4*x + 2*r, -4*x - 4*r + 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2144 + 3890. What are the prime factors of h?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 + 6*a + 178 + 12*a**2 + 292 - 3*a**2 - 8*a**2 as d + l*a**2 + s*a and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -22. Find the first derivative of 33*s + 25*s - 58*s + q*s**4 - 6 wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-77) - ((-5)\/70*-164 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 13. Let y be (20\/(-15))\/((-6)\/(-27)). Let o(v) = 3*v + 6. Let m(u) = y*c(u) + 13*o(u). Let s(k) = 2*k**2. Calculate m(s(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73221 + 74833.07. Let j = w + -1604. Let c = -7.6 + j. What is c rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 0. Let l(u) = -9*u - 2*u**3 + 7 - 1 - 3 - 4*u**2. Does 35 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53091840 divided by -128?\nAnswer: -414780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3553907.\nAnswer: 7, 43, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3026113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 + 112968*c - 33126156 = 0. What is c?\nAnswer: 294, 112674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -58004850 divided by 79350\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5)\/(o\/(o*o**13)*o))\/(o\/(o**(-2)*o))**46 assuming o is positive.\nAnswer: o**(-403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -187\/108 (c) 3\/4 (d) 3 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99523 + 99581 + 39*i - 10*i - 199104.\nAnswer: 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 233498.\nAnswer: 466996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -11984, 7, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 262 - -10029?\nAnswer: 1028b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/4*2\/6. Let z be (2 + -10)\/8 - (-2)\/8. Let i = 3\/352 + 659\/5280. Which is the nearest to -1? (a) i (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**3 + j**3 + j - 1 + 2*j**3 - 4*j**2. Let r be l(-4). Is (-3)\/(-15) + (-74)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5754720247 to the nearest integer?\nAnswer: 75860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7817 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 + -162. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11da + -c799?\nAnswer: -d995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/104 or 1?\nAnswer: 15\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (-5 + -31 - (-47 - -11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 14324?\nAnswer: 14323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/20 + c**4\/12 - c**3 + 361*c**2 - c. Let t(k) = -1. Give -b(g) + 5*t(g).\nAnswer: -3*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-7 - -80 - 12) - 2 - 11.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -37*h**2 + 3*h - 1. Let q be i(-6). Let f(k) = 257*k + 3. Let w be f(9). Let x = w + q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 331562 and 56.\nAnswer: 1326248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7257?\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/6857 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33095 - 0.5.\nAnswer: -0.83095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213459224 by -3784.\nAnswer: -56411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + 5*t + 3. Suppose 4*n = 5*b + 45, 6*n = n - 5*b. Let v be x(n). Solve -5*q = 2*s + 11, 4*q = s - v*s - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41867 + -61376. Let m = -585137\/30 - h. Calculate the common denominator of 107\/12 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -0.30938\nAnswer: -25.69062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 412 = a, 129 = -4*c + 3*c - 2*a. Let k = 434 + c. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 5 + (-4 + 3 + 0)*(2 - 4 + 1))*(158 + 57 - j - 15) as s*j + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + (-7 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)*q**(-1\/6)\/q*q**6\/q*q\/q**6 assuming q is positive.\nAnswer: q**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w - w. Suppose w = -5*n + 9*n - 1768. Let v = n + -235. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7999825mg?\nAnswer: 799982.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2087 divide 81293760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/27)*h))\/(h*(h*h**(1\/12)*h)\/h)*h*h**(-1\/3)*h*h*h**(-3) assuming h is positive.\nAnswer: h**(-253\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16910, 17226, 17946, 19274, 21414, 24570, 28946?\nAnswer: 34746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3192 + 8289. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233 - 218. Suppose y = k*y - 168. Solve -5*j - 8 = 3*g, -y = -2*g - 2*g - j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 16\/3*y**3 + 4 - y + y**2. Is s(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 15 (b) 1\/3 (c) 3 (d) -0.4 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1 + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 14. Suppose -f = -0 - v. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*m - 33, 2*m - 42 = -5*l + 5*m. Let v = l - -40. Find the common denominator of 30\/7 and 26\/(-3)*v\/28.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 1. Let y be k(-1). Let z be 280\/50 - (-10)\/25. Let t(s) = s**2 - 10*s - 9. Let d be t(11). Sort z, y, -2, d in descending order.\nAnswer: z, d, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b - 3. Let n(i) = 5*i**3 + 15*i**2 + 70*i + 90. Let y(x) = -10*d(x) - n(x). Factor y(r).\nAnswer: 5*(r - 6)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)*v*v**(-2\/21)\/v*v**(-7)*v*v*v*v**(-4) assuming v is positive.\nAnswer: v**(-275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -20*i. Let u(k) = 9*k**2 + 8*k + 4. Let o(z) = -10*z**2 - 6*z - 3. Let m(t) = -4*o(t) - 3*u(t). Give m(d(c)).\nAnswer: 5200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 0.5. Let u = 12 - n. Let v = u + -1.7. Which is the smallest value? (a) 0.5 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.4 - -121. Let o = 15.6 - r. What is the smallest value in 0.4, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 29. Suppose 4*g - y = -j + g, j - 6 = -g. Suppose -j*d - z + 5*z + 133 = 0, 3*d - 5*z = 131. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*o - 729, -2*o + 3*f + 717 = o. Suppose 7*t + o - 1082 = 0. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 8*p + 7 - 140 = 0. Solve -p*c + 8*c = 6 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a century in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5280 and 63466656?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 r, and 1 b when four letters picked without replacement from {y: 6, r: 2, m: 2, b: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137287\/12 + -11451. What is the common denominator of u and 87\/(-36) - 1*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120.42 - 123.42. Which is the closest to y? (a) -0.04 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 3*i)*(-2 + 7 + 9)*(-7*i + i + i).\nAnswer: -140*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2*o**2 + 17*o - 17. Let u be q(2). Let x = 16\/37 - 725\/1591. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f + 3 - 14*f - 5*f**2 + 0*f**3 + 26*f + 2*f**3 - 4 to the form c*f**2 + v*f**3 + b + k*f and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4 + u + 11 + 4.\nAnswer: u + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:03 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -30 + -15 - 17.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2728*v**6\/3 + 703*v**3 - 1411. What is the third derivative of o(g) wrt g?\nAnswer: -327360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**4 - 5645*a**3 - a**2 - 8783*a wrt a.\nAnswer: -48*a**2 - 33870*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 9*i - 4784 = 0. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10102043044 + 2?\nAnswer: -10102043042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845212*v - 845249*v + 3380873*v - 845206*v - 845208*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 320060813 + -222470595. Let n = l + -97590263.399783. Let s = -45.4 - n. What is s rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbyyb.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063662446 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16*-4*(-2)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**3 + m**2 - m + 1. Let u be v(1). Let i = -1769 + 1799. What is the greatest common divisor of u and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 26381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.5, 2, 175?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4007, 19412, 45091, 81044, 127271, 183772?\n\"Answer: 5137*z**2 - 6*z - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 305915977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49119102.\nAnswer: 2, 3, 909613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 - 50388*v**3 - 453384*v**2 - 1360044*v - 1359990 = 0. What is v?\nAnswer: -25185, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -2*x + p, -p + 1273 = 5*x + 1185 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z. Let s(d) = -1 + 3766*d - 7 - 3770*d. Calculate c(s(x)).\nAnswer: 16*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 110, -259, 19, 0 in descending order.\nAnswer: 110, 19, 0, -2, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -116511800 to the nearest one million.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 240428*h + 480840.\nAnswer: 4*(h + 2)*(h + 60105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 3. Let b be s(-1). Solve 3*l - 2*q = -1, b*q = -3*l - 3*q + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 9*t + 46. Does 12 divide i(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2546*w**3 + 3395326447*w**2 - 3395326447*w**2.\nAnswer: 2546*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57 take away 467455?\nAnswer: -467456.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*j**3*t - 727*j**3 - 2*j**2*t**2 + 11*j*t - 2*j - 2 with respect to t.\nAnswer: -19*j**3 - 4*j**2*t + 11*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127078 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25 and -12.94.\nAnswer: -37.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 168159, -5, 4, 1 in decreasing order.\nAnswer: 168159, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 5*g**4 - g**4 + (5*g**2 - 3*g**2 - 8*g**2)*(4*g - 30*g + g + g**2).\nAnswer: -5*g**4 + 150*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96.7 - 53.3. Let x = a - 43.39999867. What is x rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 12*r - 14. Suppose -4*j - 334 = -2*x, 4*j + 4*x + 187 = -153. Let s = j - -95. Determine i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5198973 is divided by 505?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 6, n: 1, l: 1}. Give prob of sequence ini.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f**2 - 301*f + 274. What is w(-39)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {c: 1, y: 5, t: 1, h: 2}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - -7 - (1 - (-2 + 3)). Let d(u) = 2*u - 2. Let j be d(a). Find the second derivative of -56*r - 38*r + 108*r + 3*r**j wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4825 is divided by 602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8306, -33350, -75136, -133664?\n\"Answer: -8371*h**2 + 69*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 + 12*f - 10. Let m be g(-6). Calculate the least common multiple of 2 and 5\/(-2)*(-22 - m).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 5*g**2 - 4*g + 14. Let b(l) = 116*l + 690. Let k be b(-6). Calculate s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*g - 8395, -56*g - 8404 = -5*x - 54*g. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 0*q**4 + 2*q**4 + (3*q**2 - 13*q**2 - 5*q**2)*(2 + 2*q**2 - 2) + 5*q**4 - 5*q**4 + 3*q**4.\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -2*s**3\/3 + 72*s + 1. Calculate z(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-1 - (sqrt(140)\/sqrt(5))**2.\nAnswer: -28 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3342232242 (base 5) in base 14?\nAnswer: -da2a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-21) - (-7 + (6 - -1)). Which is bigger: s or -20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3193 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33285 < 4659783\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.224 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 42795963.86 to the nearest one hundred thousand.\nAnswer: 42800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - o - 67 = -3*k, 5*o - 42 = 4*k. Let w(a) be the second derivative of -a**5\/20 - 13*a**4\/12 - a**3\/6 - 4*a**2 + 5*a - 1195. Give w(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 0 + -4 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3\/4, -0.14, -1204, -2\/5 in descending order.\nAnswer: 0.4, -0.14, -2\/5, -3\/4, -1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -514233 + 246831953\/480. Calculate the common denominator of 67\/880 and s.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 63 - 1887. Let q = -156 + y. Find b, given that -q*b**2 - b**3 + 38*b**2 + 33*b**2 + 6*b = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33392939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/7)\/((-3)\/(-21)). Suppose 9 = -2*l + 8*f - 3*f, 4*f = a. Let p be (3 + -3 + 1)*1. Solve l*n + 4*d + p = -0*d, 2*d = 5*n + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973202549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 136, 166, 206, 262, 340, 446?\n\"Answer: w**3 - w**2 + 26*w + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from httszzzz. Give prob of picking 1 h and 2 z.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47 - -42) + (8\/10 - 144\/(-40)). Sort 0.5, u, 4, -616.\nAnswer: -616, u, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((788\/3546)\/(16\/(-36)))\/((-22)\/(-24))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365*s**4 - 67*s**2 - 1.\nAnswer: 8760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20721843341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/682*(-8)\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 27*r**2 - 4*r**2 + 6*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/6, 0.09, 19\/5, -3 in decreasing order.\nAnswer: 19\/5, 3, 1\/6, 0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - (-18 - -33)) + (1 + 1 - -5).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g = 56*g + 87. Suppose -41*k**2 + 62 - g*k + 36*k**2 + 30*k - 24*k - 72*k = 0. Calculate k.\nAnswer: -31, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116123, 116062, 116013, 115976?\nAnswer: 115951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 55455 = -5*y, 3*y = -3*t + 8033 + 25210. Suppose -y = -2*i + 4*f, -2*i = -0*i + f - 11061. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)\/j)**(-39) assuming j is positive.\nAnswer: j**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 877583 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 16*l**2 - 107*l - 413. What is d(-7)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 50*a**5 - 190*a**4 - 72*a**3 + 736*a**2 - 512*a + 96 = 0.\nAnswer: -2, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488084 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -8598\/17?\nAnswer: -8598\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/69)*p\/(p\/p**(-1\/28)*p))**(-1\/21) assuming p is positive.\nAnswer: p**(1945\/40572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 14 = 4. Suppose 2*n + 2*i = 13 + q, 5*i - 25 = 0. Let v be (n\/(-12))\/(3\/(-54)). Solve -v = 4*m + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.5. Let s = -6.6 + 1.6. Let a = 2 - 2.2. What is the closest to 1\/4 in a, s, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7769082 or -7769080?\nAnswer: -7769080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6291, -6443, -6595?\n\"Answer: -152*p - 6139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z**(2\/5)\/z*z))\/z)\/(((z*z**(-10\/3))\/z)\/z))\/(z**(-2)\/(z*z**5)))**(-4\/9) assuming z is positive.\nAnswer: z**(-656\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 3*m - 2*m + 0*m to r + d*m and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 591 - 591. Solve -h + 4*h + l + 7 = s, -11 = 5*h + 2*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -5*sqrt(325) + 3*(-3 + sqrt(26)\/sqrt(2))).\nAnswer: -88*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13060*w + 378742. Calculate p(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 - i**2)*(2*i - 2*i**3 - 2*i) + (-2*i**4 - 4*i**4 - i**4)*(-2*i - 2*i + 7*i).\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1018716 and 251436?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 1, j: 1, i: 1, m: 1, e: 1}. Give prob of sequence sijm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*r + 1, -r - 5*b = -3 - 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 7221?\nAnswer: 7237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.90249 * -19.1.\nAnswer: -55.437559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 + 46. Which is bigger: 359 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2662264 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92.43 - 0.57. Let m = 90 + s. What is the biggest value in 2, m, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 548*h + 558. Let w be r(-1). Let u = -149 + 379. What is the highest common divisor of u and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404 divided by -705?\nAnswer: -5404\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.12, -0.06?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**4\/2 - 9*v**2\/2 + 3. What is the second derivative of d(o) wrt o?\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/18936 and 1\/50496.\nAnswer: 151488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 218819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -39. Calculate the remainder when 68 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (2*sqrt(104))\/sqrt(8))**2.\nAnswer: 16*sqrt(13) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344400 rounded to the nearest ten thousand?\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - 2*b**4)*(3 - 6 + 1) + (-3*b + 2*b + 0*b)*(4*b**3 - 3*b**3 + b**3) + 190*b**4 + 4*b**4 + 129*b**4.\nAnswer: 325*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*n + 106*n - 156 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 364.\nAnswer: -41\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 0 = -0*r - 2*r + 19, -4*o + 6*r + 22 - 17 = 75 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2223, 9035, 20437, 36429, 57011, 82183, 111945?\nAnswer: 146297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - r**3 - r)*(21696 - 7389 + 28317 + 2837 - 1236)*(3 + 2 - 3) to the form n*r**3 + b*r + u*r**2 + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-2 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 7*b**2 - 7*b + 1. Let n be z(8). Suppose 0*o = 3*o + n, -3*o = 3*t + 9. Solve t*y - 2*i = -y - 9, -3*y + 8 = i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 1 (b) -7 (c) 4 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.3 (c) -0.347 (d) 1 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -23.498?\nAnswer: -23.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784724070?\nAnswer: 2, 5, 8933, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0 + 2\/21*a**3 + 1\/21*a**4 + 2*a + 0*a**2. Let p(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15801.0000009459 - 15801. Round k to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2554 (base 7) to base 16\nAnswer: 3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 16*v - 6 = 20*v, -2*v - 1 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.1, 82, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 137, 194, 293, 446, 665, 962?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + -30. Let b = o - -60. Is 16 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 16*u + 219. Let h(o) = -5*o - 73. Let x(d) = -11*h(d) - 4*l(d). What is the remainder when x(-27) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1110\/18)\/(-37)*(-1)\/(48\/90)\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/5, -232, 3, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-7)*4\/10. Let p = 3\/40 - 13\/40. Let z = 4 + -8. Which is the nearest to p? (a) t (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61313393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 542a37 - 22?\nAnswer: 542a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45954 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4981, -19910, -44791, -79624?\n\"Answer: -4976*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:49 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**3 + 10*j**2 - j - 15. Suppose -42*l + 40*l = -4*h - 32, 5*h = -35. Let w(t) = t**3 - 3*t**2 + 5. Give l*z(i) + 7*w(i).\nAnswer: -i**3 - i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6156446 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 5*q)*(2 - 2*q - 2)*(1 - 1 - 4) - 4*q**2 + q**2 + 4*q**2 + (57*q**2 + 45 - 45)*(2 - 4 + 3) - 2*q**2 + 2*q**2 + q**2.\nAnswer: 51*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -44133*(4*(-6)\/72*20 - -7). Which is bigger: m or -14710?\nAnswer: -14710","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1021012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:32 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, u: 3}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -461*y - 16. Is h(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 1\/10*p**5 + 4\/15*p**3 + 4\/15*p**4 + 0*p**2 + 1\/75*p**6 - 16*p + 16. Let y(x) be the first derivative of v(x). Factor y(k).\nAnswer: 2*k*(k + 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18792143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.3. Let c = 1121\/66 - 103\/6. Sort 5\/2, c, x.\nAnswer: c, x, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5377750 is divided by 2316?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 132*z**2 - 6*z - 16. What is the thousands digit of o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1882*d - 343. Is c(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2197707 to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6066 <= -6065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 39171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + -7 + 27 + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2246569 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3*p**2 + 0*p**2)*(2 - 2 - 4*p + (-4*p + 2*p - p)*(-4 + 5 - 3) - 149*p - 149*p + 291*p + 0*p + p - 2*p + (6*p - 3*p - p)*(-4 + 1 + 2)).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 34. Suppose w*t - 11 - 1 = 0. Let q(a) = -a + 4. Let u be q(0). Solve t*s - 3*x = -x + u, 0 = s + 4*x + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {t: 1, i: 1, m: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -7 in increasing order.\nAnswer: -7, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41788 in 0.4, -137, 0.1?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + -1278*(-73)\/1971?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minus 376?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-213)\/11 + 22 - (13 + -5 - 7)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 - 9*r**3 - 17*r**3 + 41*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 15. Let l be m(-14). Let c be l - 5 - (19 + 13). What is the common denominator of 1 + 44\/c + 1642\/828 and 19\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71766, 287302, 646532, 1149450, 1796050, 2586326, 3520272, 4597882?\n\"Answer: -j**3 + 71853*j**2 - 16*j - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62164 (base 11) in base 5?\nAnswer: 10400244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**3 + 5 + 4*c**3 - 15*c**3 - 4 to the form u*c**2 + x*c**3 + r + j*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*o - 2*b + 23, -287 = -5*b - 267 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1719)\/(-764))\/((6\/20)\/(16\/(-10))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)\/g*g\/g**(2\/25) assuming g is positive.\nAnswer: g**(-56\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*-1 - 89\/(-1). Find the common denominator of (618\/(-16))\/(p\/40) and -19\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 3. Let p(w) = w**2 + w. Let j be p(i). Suppose 4*h - 3*h = j. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 = 386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -15 + 23 + -11 + 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*2 + sqrt(875))\/((2*sqrt(77))\/sqrt(11)) + -4.\nAnswer: -4 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*u + 15, 11 = -3*y - 4. Let f be (-2)\/(-8) + (-3213)\/u. What is the remainder when (f\/22)\/(2\/(-4)) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569141*j = 569137*j - 4, 2*x + 2*j - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107650 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: b\"What is the qth term of 40548813, 162195248, 364939307, 648780990, 1013720297?\n\"Answer: 40548812*q**2 - q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m\/((((m*m\/(m*(m*m**(-11\/3))\/m*m))\/m)\/m)\/m))\/((m\/m**(-3\/4))\/m)**42 assuming m is positive.\nAnswer: m**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -11, -5.\nAnswer: -11, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89947, -90112, -90309, -90532, -90775?\nAnswer: -91032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200012 (base 3) in base 4?\nAnswer: -311033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165559*v**3*z + v**2*z + 171664*v wrt v.\nAnswer: -993354*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35853 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*y + 2794 + 1086 = 0 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/10 - (72\/(-252) - (-1554904)\/(-70)).\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.3. Let f = -5.7 - n. Let h = f + 6.0000015. What is h rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyhehihyseh. What is prob of picking 1 h, 1 s, 1 y, and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12132938273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (219\/292)\/(6\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741106733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -74, -2\/3, 0, -2\/11, 13, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*s - 4 = -0*s, -4*k + 5*s = -44. Let d be (132\/k)\/((-2)\/(-8)). Let o = d - 23. Calculate the greatest common divisor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:54 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1725 in -0.12, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-25) + 64\/20. Let x(f) be the first derivative of 0*f**2 + 4\/5*f**5 + 2\/3*f**k + 0*f**4 + 0*f - 4. What is the third derivative of x(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.4244 + 3.1813. Let c = -2.23 - o. Round c to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 + (-220)\/50. Let r(s) = -9*s + 117. What are the prime factors of r(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10758 is divided by 316?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 344610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.503435 rounded to 2 decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 5*w + 24*n, -11 = -32*w + 5*n + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-9 - -24) - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -11*z + 25*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 503*f**4 - 502*f**4 + 0*f**2 - 2*f**2 - 2 + 3*f**2 + 101*f**3 to i*f**2 + w*f**4 + o*f + u + t*f**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 - 10*l + 3. Let b be g(3). Sort 5, -4, b in increasing order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - w - 500 = 4*w, -3*j + 410 = 5*w. Let v(m) = -11*m - 2. Let g(t) = -351*t - 65. Let z(b) = j*v(b) - 4*g(b). Let d(l) = 2*l. Determine d(z(f)).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2716667900 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*t - 2, 3*l + 7*t + 1 = 3*t. Put 2, -2, 3, l in ascending order.\nAnswer: l, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 99?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 226, 5, -4 in decreasing order.\nAnswer: 226, 5, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(8\/(-6)*(-18)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3326*r**2 + 739?\nAnswer: -6652*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -34*(-1)\/3 - (-3)\/(-9). Suppose -3*n = -g + 8, -4*g - 4*n + o = -g. Solve g*w + 0 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713106532?\nAnswer: 2, 928276633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 15786367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 26 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12564 and 3798?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 6374.\nAnswer: 956.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.9 - -72. Let v = -2\/33 - -103\/66. Which is the smallest value? (a) k (b) v (c) 3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*d**3 + 5*d**2 - 12*d**2 + 7*d**2 + 227*d**3.\nAnswer: 510*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -30*q. Suppose 4*i - 40 = -4*i. Let g(n) = 3*n + 3*n - i*n. Determine g(j(x)).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 25*o**2 - 14*o - 49. Let t be w(-23). What is the highest common divisor of 22 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.8500458 weeks?\nAnswer: 5.9503206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*m + 24 = 0, 0*i - i - 12 = 5*m. Let f = i + -12. Let s be 6\/12 + 2\/f. Which is smaller: -1\/2 or s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235958114.\nAnswer: 2, 7, 43, 137, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367108601 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 29128 = 4*k. Let g be (-30011)\/k - (-1 - -1). Let f = 5\/331 - g. Find the common denominator of f and -19\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.1 - 53.94. Let t = u + -0.16. Which is the third biggest value? (a) -0.3 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1005896808)\/148 + (-130)\/(-2405). Round t to the nearest one hundred thousand.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*g - 217, 263 = 5*f + 5*g - 102. Let o = f - 12. Let k = o + -56. Solve 8*c = k*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4499 divided by -2231\nAnswer: -4499\/2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11680918?\nAnswer: 2, 23, 197, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f - 19*f**3 + 2*f**3 + 5*f - 16*f.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1396 or -1391?\nAnswer: -1396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 32 = 44. Let y be 0 + -1*(b + -413). Let p = y - 246. What are the prime factors of p?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 23\/6 + 2\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 65. Suppose o = 5*r + 17 - 6, -8 = -x*o - 4*r. Solve -o*q - 20 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*i - 5572, 39*i = 36*i - 9. Is 82 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.7. Let q = -0.0133 + 0.4133. Let u = -0.7 - -1. Put n, u, q in increasing order.\nAnswer: n, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48123732 to the power of 1\/2, to the nearest integer?\nAnswer: 6937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (9 - 1 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2. Suppose 0 = 5*w + d - 43, -w + 1 = 2*d - 13. Let o(x) = w*x + 5*x**2 - 8*x. Determine n(o(t)).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413155.\nAnswer: 5, 19, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by -1\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3 and -59\/406.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491 = 877*k - 806*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 56*d + 12. Is x(-25) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -2*g, -4*g + 28 = 4*k - 0*k. Solve 0 = -v - k*h + 8, 0*h - 16 = 3*v - 5*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**5 + 5660*t**4 + 2065900*t**3 + 44805780*t**2 + 83436480*t + 40690944 = 0.\nAnswer: -696, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttmzzzzzkt. What is prob of sequence zk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 29. Let j be p(9). Let u = -1 - j. Solve 0 = 2*v + v - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1876 and 1831244?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -9)\/(10\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 3848.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*z - 113 + 113 to the form v*z + l and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-207)\/(18\/(-6)). Let b = c - -68. Suppose x - m = 28, -b*x = -4*x + 2*m + 30. What is the greatest common factor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -32. Calculate the remainder when (-32)\/(-24)*(-129)\/(-2) is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199916595?\nAnswer: 3, 5, 1523, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-31486)\/8 + (-7)\/(-42)*3?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 51*r - 26. What is q(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:15 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67642454?\nAnswer: 2, 11, 3074657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0, -7, 55.\nAnswer: -7, -2, 0, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*10\/45*6*3\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.9 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1879331958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - b**4 + (155 - 76 - 76 - 5*b**3)*(3 + b - 3) + (4*b - 2*b + b)*(b - b - 2*b**3) as s*b**2 + k*b**4 + a*b + c + h*b**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122739 + 122851.081. Let k = -219 - -107. Let o = k + h. Round o to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56, 200, 434, 758, 1172?\n\"Answer: 45*j**2 + 9*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 7, j: 1, b: 2}. What is prob of picking 1 b and 2 n?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + 18. Let l = 59 - 37. Calculate the least common multiple of n and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + -3 + -2 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -1\/2*f**3 + 0 - 1\/3*f**4 - 3\/2*f**2 - 1\/20*f**5 - 2*f. What is q(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 677*i**2 - 10*i - 737*i**2 - 2*i - 21*i**4 - 69*i**3 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057 + 1087 = -6*z. Put z, -14, 6 in decreasing order.\nAnswer: 6, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(102\/(-51))\/((-105)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2286 and 7020?\nAnswer: 891540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20740 is divided by 133?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21\/4, 4, 0.033, -3\/11?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2255295 divided by -2285?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(820\/24)*(-280)\/(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2430 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28611803.\nAnswer: 11, 659, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 4*c + 1. Suppose -5*u + 4*u = 3. Calculate the remainder when 27 is divided by f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 439? (a) -0.05 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20, -3*y + 4*p + 16 = -4*y. Suppose -3*s = -y*w - 18, -3*s - 5*w - 13 = -2*s. Solve -j - 3*j + 4*n = 4, s*j = -5*n + 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 459*u**2\/4 + 219*u\/2 + 684.\nAnswer: 3*(u - 152)*(u - 3)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 66, 103, 144, 189, 238, 291?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*d + 12. Solve 5*y + 35 = -0*i - 5*i, -d*i + 2*y - 6 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166 or -5808\/35?\nAnswer: -5808\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2 - 14*y + 43. Let q(c) = 7*c**2 - 13*c + 43. Let t(a) = 3*o(a) - 4*q(a). Let b be t(3). Is b equal to -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000995012 to 6 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + 19 + 1 + -11 + -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:26 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870186*w**2 + 870181*w**2 - 1740357*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -45. Calculate the least common multiple of 33 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -169, 343, 851, 1355?\n\"Answer: -2*i**2 + 518*i - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -61. Suppose -2*z + 2384 = 2*o, 2*z - 115 = o - 1295. Let n = o - x. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13 - 7*d**2 + 3 + 6*d**2 - 7*d. Let u be w(-4). Suppose 25 = 2*g - 3*m - 0*m, -3*g - u*m + 44 = 0. Solve 10*t - r = 5*t + g, -4*r - 12 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1219 - 1218. Is d > 1\/791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596225 is divided by 709?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by (55 - 1)*(-4 - 54\/(-12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64264.766 to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478 times -3?\nAnswer: -13434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/23 or 2\/37?\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10063 is divided by 1350?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*s**2 - 8666*s**2 - 565*s**2.\nAnswer: -8758*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1)\/(20\/5 - 6). Let a be (500\/40)\/((-5)\/(-6) + b). Round a to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378 - -93. Is n\/(-15)*(-1 - -128) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.1384 rounded to 1 dp?\nAnswer: -54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 127, 289, 515, 811, 1183, 1637?\n\"Answer: b**3 + 23*b**2 + 28*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -18*t**2 - 8*t + 3. Let c(n) = -n + 3. Let f be c(4). Let q(h) = -h**2 + h - 1. Let y(x) = f*k(x) - 6*q(x). Is y(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.0454003 rounded to two decimal places?\nAnswer: -29.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 206\/5 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a, 2*u - u - 4*a = 40. Suppose -4*q - w + 64 = -5*w, -3*q = -w - u. What is the smallest common multiple of 2 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706 is divided by (116\/464)\/((-1)\/(-1) + 2246\/(-2248))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:14 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.59844 rounded to the nearest 10?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + (3 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 25*j + 12. What is d(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*5 + (sqrt(153) + -3*sqrt(153)*-2 - sqrt(153)))\/((sqrt(252)\/sqrt(4)*5)\/(2*sqrt(28)\/sqrt(4))).\nAnswer: -18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-3 - (-18)\/2). What is the first derivative of 5*r + 0*r - 3*r + o*r - 9 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 24 + 2*l**2 + 20 - l**2. Let t be k(-3). Suppose -t*r + 1129 = -1113. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*v - 9292 + 9638 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1155882\/(-288998))\/1 - -4. Let p = g - 401605676\/112853719. Let h = p - 12\/71. Calculate the common denominator of -33\/8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2590)\/(-21756)*(0 + (-379)\/45)*-6 + -6\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bttt when four letters picked without replacement from ttrrbbrbbrbtrt.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20782631 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9144 and 44619672.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 8. Let l be w(4). Suppose l = 4*x - 1 - 23. Solve -3*d + x - 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:01 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-534)\/4)\/((-10)\/((-120)\/(-9))). Suppose -96 = -2*v + 4*o + h, 0 = -5*v - 4*o + 629. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.5927 nanometers in centimeters?\nAnswer: 0.00000225927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-76)\/(-10))\/((-26)\/(-910)). Let o = -48 + n. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/21 and -52\/231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 15.7. Let n = -0.1 + 5.1. Which is the third smallest value? (a) n (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4293 + 4292.86339. Let l = 19 + -19.138. Let t = g - l. Round t to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(26)*-1)\/sqrt(2) + sqrt(13) + sqrt(13) + (sqrt(143)\/(sqrt(11)*-1))**2 + -2*sqrt(1300).\nAnswer: -21*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f - 14. List the prime factors of t(19).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 4. Let y be p(-2). What are the prime factors of 12 + (2 - 2)\/((-4)\/y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 60 = 2*c, -5*c + u = 4*u - 148. What is the tens digit of -1 + 0 + -7 + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -5*n, 0 = -y + 2*n - 0*n + 4. Suppose 4*s - 5*a = 71, -2*a + y = -10. Suppose p = -g + 3, -4*p = p + 2*g - s. Which is bigger: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 22. Let w(y) = -6*y + 1. Let l be w(b). Let s be (-25)\/(-10)*(-6)\/l. Solve 0*c = s*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 22*f**2 - 19*f + 199. Let g be y(-24). Calculate the greatest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -738, -1423, -2106, -2787, -3466?\n\"Answer: v**2 - 688*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110001110010101 (base 2) to base 11.\nAnswer: -62434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 - 7569316*q - 7569312 = 0 for q.\nAnswer: -1892328, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22963, -91849, -206657, -367387, -574039, -826613, -1125109?\n\"Answer: -22961*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5470833068 take away -968?\nAnswer: 5470834036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**2 - 2*y**5 + 2\/3*y**3 - 2 + 0*y**4 + 0*y. What is the third derivative of r(t) wrt t?\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i**(-4\/7))\/(i**(2\/3))**(1\/74)*i**(1\/2)\/(((i*i**(-5\/4))\/i)\/i)*(i*i**(-2\/7)*i*i)\/(i**(-6)*i) assuming i is positive.\nAnswer: i**(37379\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/25)\/((-2)\/(-10)). Let y = 5 + n. Let u be (4\/(-6))\/(y\/(-315)). Calculate the highest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21590 - 64771\/3. What is the nearest to -2\/5 in -3, v, 2\/21, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 65702620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + t + t)*(9*t - 4*t + 5*t)*(-t - 5*t + 5*t) + (-t**2 + 0 + 0)*(-2*t - t + t) as y*t + q*t**3 + w + h*t**2 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:30 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1093 - -2398. What are the prime factors of k?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 0.41. Suppose 111*m = -211*m + 250 - 345 - 1193. Which is the fourth smallest value? (a) 1\/2 (b) v (c) m (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3411912\/102 + -4 - (-70)\/(-595)?\nAnswer: 2, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1076 + 34429\/32. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + (-34)\/(-6). Suppose 5 = -b*d, -2*z = -0*z + 5*d - 5. Let u(r) = r**3 - 6*r**2 + 2*r + 2. Calculate u(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6\/7)*l)\/l**(-3\/4))\/((l\/l**7)\/(l*l**7)) assuming l is positive.\nAnswer: l**(417\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 19*v**2 - 6918*v**3 + 6919*v**3 - 2 + 2.\nAnswer: v**3 - 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t. Let z(p) = 2 - 5 + 2*p + 2*p**3 + 7*p**2 + p**3 - 7*p. Let l(h) = -2*g(h) + z(h). Is l(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s + 3. Let a(w) = 13*w - 1. Let d be a(s). Let m = 11439 + -11173. Calculate the highest common factor of d and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1793280 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0, -95, 3\/2, 1.1, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8592 or 8594?\nAnswer: 8592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(3*f + 0*f - 4*f) - f + f - 2*f + 29*f + 4547 - 4547 + 25*f.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 110?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + -149. Let b = m - -173.18. What is b rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2401*s**2 + 488*s + 1269922 wrt s?\nAnswer: 4802*s + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88764193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91800 = -15*v + 92175. Solve -24*a = -v*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393296583.7 to the nearest one hundred thousand.\nAnswer: 393300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-5)*4\/56?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9782 + -5194. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + 33. List the prime factors of x.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 330424 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22212122101000 (base 3) to base 6.\nAnswer: 245033300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43155*-0.1\nAnswer: 4315.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 706936*t**2 - 2827768*t - 2827776.\nAnswer: 2*(t - 353472)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**2*s**3 - 404*o**2*s**2 - o**2*s - 23*o*s**3 + o*s**2 - 2*o - s**3 + 283 wrt o.\nAnswer: 10*s**3 - 808*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9418343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 501, 3, -3\/8?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63352 - -187?\nAnswer: -63165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.171? (a) 3 (b) 0.3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1247 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*a + 254*a - 135*a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*z - 560 = 151*z. Let t = 4 - 15. Let b be 55\/4 + t\/(-44). Calculate the greatest common divisor of z and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*p**2 + 19*p - 19*p + (2*p - 2*p - p)*(-4 + 1 + 1)*(-p - 2*p + 4*p).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 - -132. Let s = -55\/3 - -62\/3. Let t = -8\/3 + s. Which is the nearest to t? (a) 1\/6 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6) + ((-2)\/(-6) + 2)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 4)*(-2 + 2 - 2*g) - 3*g + 2 - 3 + 3)*(-6*g + 21*g + 10*g) to t*g**2 + w + m*g and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*z + 52*z - 95*z)*(-z**3 + z**3 - 3*z**3).\nAnswer: 276*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6506 + 6576. What is the remainder when 277 is divided by d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23090151 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-8))\/(2\/(-4)). Calculate the remainder when 3 + 18\/k + 42 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 11:05 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -707*t + 10. What is the thousands digit of v(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 22. Let b be k(8). Let q(z) = 7*z**b - 5*z - 4 - 9 - z**3 - 7 + 14. Suppose 5 = 4*f - 19. Determine q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0212 + -2.9788. What is the second biggest value in 0.5, 2\/13, 5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -312\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35374844\/273 + -129578. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 1. What is the remainder when 48 is divided by a(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 76 = -3*f. Let j = 1774 + -1194. Suppose 15*y + j = f*y. What are the prime factors of y?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*h - 30 + 174 = -118*h. Calculate the lowest common multiple of 1520 and h.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l - 5. Suppose -4*z = -0*z + 32. Let v be 1\/((-2)\/(-6)) + z. Let i(s) = -s - 1. Let f(b) = v*i(b) + u(b). Solve f(x) = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:07 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311588052.\nAnswer: 2, 3, 25965671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 - 24*h - 250. What is the remainder when (89\/4)\/((-2)\/(-8)) is divided by w(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*1*((-777)\/(-1008))\/(-37))\/(-2).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:17 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75*j**2*u + 6*j**2 - 4*j*u**2 - 26*j + 77*u**2 - 13*u + 2203 wrt u.\nAnswer: -75*j**2 - 8*j*u + 154*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 17 = q, -2*q - 5*w + w = -36. Let v(a) be the first derivative of -4*a**2 - 3*a - a**3 + a**2 + 7 - q. Solve v(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyybybb. What is prob of sequence byby?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.88 (c) 9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -217, -62\/13.\nAnswer: -217, -5, -62\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*g + 134*g = -25. Solve g = 3*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 7584.\nAnswer: -7596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -1.2. Let q = -0.2201 - -0.2301. Let x = 25 - 24. What is the nearest to u in x, -3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -11 + 11 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p - 81. Let d be w(5). Suppose 0 = -3*g - d*z + 35, 18*z - 19*z + 5 = 0. Solve -18*m + g = -17*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)\/sqrt(90))\/((-3*sqrt(256) - sqrt(256)) + sqrt(256)))**2.\nAnswer: 13\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1575*m**2 - 1575*m**2 - 10*m**4 + 8*m**3 - 1 in the form s*m**4 + x*m + n*m**3 + w + v*m**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/78 - 2\/3. Let l(u) = u + 10. Let r be l(-16). Let g be (4\/r)\/((-84)\/(-315)). Sort -5, c, -2\/3, g.\nAnswer: -5, g, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 72?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*w**2 + 28*w**2 + 5*w**2)*(-2 + 5 + 2 - 2).\nAnswer: 345*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 143 = 5*z + 3*p, -5*p = 15. Let k be (-30)\/z*(-1)\/6. What is the nearest to k in -0.3, -1, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let u = -35.38 - -35.88. Sort -1\/7, 1.5, m, u in decreasing order.\nAnswer: 1.5, u, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56309368*h*s**2 + 83059565*s**2 wrt h?\nAnswer: 56309368*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*g - 241*g + 27*g**2.\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6339, -6232, -6123, -6012, -5899?\nAnswer: -5784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 3 = -69*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3538293.99 to the nearest ten thousand.\nAnswer: -3540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 3*q - 5*q + (1 + 1 + 0)*(-2*q + q - q) - 1 + 1 + 7*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 6*t**2 + 4*t - 2. Let q be ((-10)\/8)\/((-1)\/(-4)). Let x be y(q). Suppose -f + 16 = x*f. Solve -5*n - f = 2*a + 4, 0 = 3*n + 4*a + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1262204\/77 + 16392. Calculate the common denominator of h and 71\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.964 times 0.3\nAnswer: -0.2892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let i(o) = 11*o. What is m(i(d))?\nAnswer: -242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*n - 113*n - 7*n**2 - 113*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 - 7*s**3\/2 - 8*s**2. Let r be q(-13). Let m = r + -61. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110426 = 42*x - 49510. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + (sqrt(900) + sqrt(25))\/sqrt(5)) + (-1*sqrt(320) + (sqrt(5) - (-4 + sqrt(20) - sqrt(5))))**2 + -1.\nAnswer: -104*sqrt(5) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 766, 1532, 2298?\n\"Answer: 766*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*o - 22*o - 136*o.\nAnswer: -344*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*d - 10 = 3*w, -d = 4*w - 17. Suppose 2*b - 56 = f, 55 = 4*b - w*f - 53. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s**2 + 3\/4*s**4 + 3\/4*s**3 + 0*s.\nAnswer: 3*s**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21838 = 27*y - 21460 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixfxjaaiidjfaa. What is prob of sequence aii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -637414?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 601*c**3\/6 + 184*c**2 - 321*c - 2. Differentiate m(f) wrt f.\nAnswer: 601","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gglllflglgglggggggf?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -82, -98, -120?\n\"Answer: -3*i**2 - i - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) -0.4 (c) 0.2 (d) -209\/2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 4*n**2. Let y(f) = -f**3 - 6*f**2 + 5*f - 17. Let i be y(-7). Calculate a(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4368730 divided by -3470\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) 0.1 (c) -0.35 (d) 0.6 (e) -7 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/9 + 325*s**4\/9 + 2413*s**3\/9 - 13087*s**2\/3 - 9510*s = 0. Calculate s.\nAnswer: -317, -15, -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 273 in descending order.\nAnswer: 273, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -21. Suppose 2*k = k - p. What is the common denominator of ((-1)\/7)\/k - (-11112)\/3360 and -91\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (4 + (-3 - 1)). Suppose s*r = x - 2 - 5, 4*x - 28 = 4*r. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 + 1 + -1 - 0. Let a be 280\/42*5700\/125. What is the greatest common divisor of a and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -22) + (-208 - -188)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 93\/5, -9, -135 in increasing order.\nAnswer: -135, -9, 93\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -521?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62698 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41932*o*q + 9*o - 1583 wrt q.\nAnswer: -41932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let c = 10 - 6. Let u = l - c. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 32, 38, 46?\n\"Answer: x**2 + x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1)\/w*w)*w*(w\/(w**(-17)*w)*w)\/w)\/((w\/(w*w*w*((w\/(w\/(((w\/(w**(-4\/19)*w))\/w)\/w)))\/w)\/w))\/w**4) assuming w is positive.\nAnswer: w**(422\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129900 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 27 = 2*g. Suppose m - 49 = -g*c - 4*m, 5*c - 2*m - 30 = 0. Put -3, c, 2 in increasing order.\nAnswer: -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.59 and 2?\nAnswer: -7.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7*p + 36. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11) + 4)**2*6.\nAnswer: -48*sqrt(11) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67388 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/3*(-1 - 10\/(-6)). Let a be ((-105)\/70)\/((-1)\/p). Solve a*i = -5 - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*n**3*s*z**2 + 2*n**3*s - 530*n**3*z**2 + n**2*s*z + 5415*n**2*s wrt z.\nAnswer: 72*n**3*s - 1060*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 8*c + 6. Suppose 21 = i + 16. Give v(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*q - q = -4, -1 = -q. Let t(h) = 9*h**2 - 24*h + 2. Let f(b) = 13*b**2 - 39*b + 4. Let x(c) = -3*f(c) + 5*t(c). Give x(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 5*w**4\/4 + 4*w - 2. Differentiate l(f) with respect to f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/185040 and -59\/4?\nAnswer: 185040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-18) + (-10)\/(-3). Suppose 479 = k*y - 214. Suppose -4*v + 11 - 3 = 0, -2*v - 101 = -5*o. Calculate the highest common factor of o and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185482 + -30604418\/165. Let r = a + 4\/33. Factor -2\/5*d + 2\/5*d**2 - r.\nAnswer: 2*(d - 2)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*z**2 - 971*z + 971*z)*(2*z**2 + 3*z - 3*z + (2 - 2 - 3)*(z**2 + z**2 - 3*z**2) + (-z**2 - 4*z**2 + 3*z**2)*(-1 + 1 + 2)).\nAnswer: 63*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1533, 3028, 4487, 5910?\n\"Answer: -18*m**2 + 1549*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*x + 144871 = v - 277*x, -579550 = -4*v - 6*x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2490*j**3 - 11*j**2*z + j*z - 6*j + 4*z + 2 wrt j.\nAnswer: -14940*j - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 334*w + 26096. What is u(-78)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - b + b)*(42*b**2 + 46*b**2 - 104*b**2) + 4*b + 2*b**5 - 4*b + 2*b**2 + 2*b**5 - 2*b**2.\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*n - 5301 = 1958 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 2776.\nAnswer: 45\/2776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15230 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 45 - 59)*(-v + 4*v - v - 6*v).\nAnswer: 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8729 by -18.\nAnswer: -8729\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 228111.\nAnswer: -912444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.07643 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/11)))\/k)**(8\/11)*(k**(1\/2)*k)\/k*k\/((k**(-17)*k)\/k) assuming k is positive.\nAnswer: k**(4269\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16398 = -3*b - 2*l, 0 = -12*b + 9*b + 3*l + 16398. What are the prime factors of b?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 10 = -2*s - f, 1729*s - 1730*s + 3 = -2*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 13) in base 3?\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034998 to the power of 1\/2, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7030 - -156302?\nAnswer: 147252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -225, -98?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/9 + 484*y\/9 - 13552 = 0. Calculate y.\nAnswer: -396, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226\/65 + -40\/13. Let 0 + 0*y**2 + 0*y + v*y**3 = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127514 divided by 1520?\nAnswer: 63757\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -145, -236, -337, -448, -569, -700?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.5 (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*f - 5*w + 16 = -287*f, 0 = -2*f - 2*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 21. Calculate the remainder when t is divided by 13 - (0 - 1)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 49 = -13. Let a be (m\/(-30))\/((-1)\/1655). Let d = 68 + a. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 8*n**2 + n - 1. Let c be 6\/8 - (-174)\/24. Let k be g(c). Calculate the greatest common factor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626 - 812*o - 626.\nAnswer: -812*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5 - 19. Solve 15*a**2 + w - 7\/2*a**3 - 18*a = 0 for a.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -51. Suppose 2*c = -2*f + v, 0 = c - 6*c - 4*f + 27. Solve 0 = 5*d - 2*d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m**2 + 2*m + 3. Let h be u(-2). Let t be (-1551)\/(-36) + 3\/(-9). Let w = t - 42. Sort w, 0.05, h in decreasing order.\nAnswer: w, 0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3 - x - 1. Let h be r(-1). Suppose 0*n**2 - h + 1 + n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*z - 7 = -21, -3*u + 13 = -2*z. Let n = 7 + u. What is the units digit of 146\/n + (-3)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4857860*s - 4857860*s + 1539*s**3.\nAnswer: 1539*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675)*1 + sqrt(27)*1*2)\/(sqrt(108)\/sqrt(3) + sqrt(81)\/(sqrt(36) + sqrt(9))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4*d + 2*d)*(666312*d - 10*d**3 + 384*d**2 - 666312*d).\nAnswer: 40*d**4 - 1536*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2\/991 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.1. Let r = 0.14 - -0.06. Which is the second smallest value? (a) r (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 5*c + 9, 2*j + 4*c = 0. Suppose 0*m - 2*m = -10, -j*o + 27 = 5*m. What is the remainder when 20 - ((o - 2) + -2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 15 - 3. Let w(r) = r**2 - r + 3. Let a(b) = -4*b**2 + 4*b - 11. Give z*a(j) + 22*w(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:41 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7846 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4130 divided by 59.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -16 (c) -1\/247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100.03 - -93.93. Let t(u) = -u + 2. Let v be t(2). Which is the closest to -2\/7? (a) 5 (b) 4 (c) v (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11325, 89106, 300239, 711402, 1389273, 2400530, 3811851, 5689914?\nAnswer: 8101397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18*b + 560 = 0. Solve -2*s = m - 4*s - 5, 0 = 2*m + 5*s + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*k + 119, -2*k + 15 = -5*f - 55. Suppose 10*c - 7*c = k. Calculate the highest common divisor of 105 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + 423*b + 3665. Determine m(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 0.1, 2\/33, -2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, a: 2, l: 4}. What is prob of picking 1 l and 1 v?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 (base 5) in base 15?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/8*(-12)\/28*2. Let x be (-5)\/10 - -1 - (-33)\/(-44). Which is the nearest to -2? (a) x (b) 1\/5 (c) 1\/4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32593*d - 211686 wrt d?\nAnswer: 32593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -11*n**2. Let h(i) = 7*i**2. What is x(h(p))?\nAnswer: -539*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1473.86 tonnes to nanograms.\nAnswer: 1473860000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 169 = 4*t, -2*t - k + 13 + 70 = 0. Let y be (16\/t)\/((-6)\/(-10)). Sort -0.2, 0.2, y.\nAnswer: -0.2, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/392)\/((-3165)\/(-8862))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/694 and -99\/5552.\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -347. Suppose 19*b = 22*b - p. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82.0000056 - -82. What is b rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2) - -1)\/(21\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.485338981 to four dps.\nAnswer: -2.4853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9871 + 10019 + 1581*f - 20558 with respect to f.\nAnswer: 1581","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3814, 3791, 3768, 3745, 3722, 3699?\nAnswer: 3676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 39*t - 17. Let k be o(-19). Solve -2\/3*c**3 + 1\/3*c**5 - 2\/3*c**k + 1\/3*c + 1\/3 + 1\/3*c**4 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 3*b + 6 - 6 in the form c*b**2 + o + k*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4225 * -13.\nAnswer: -5.4925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + o + 10, -4*b - 3*o + 18 = b. Let l(j) = j**3 - 7*j**2 + 5*j + 2. Let a be l(b). What is the units digit of (a - (2 + -4))*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -12. Suppose -n + 60 = n. Suppose n = i + 4*z, -10 = -5*i + 5*z + 15. Solve -5*q + i = -l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let j = a - -4. What is the remainder when 21 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 + 3 - -283) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*x + 2408 = f - 258*x, -2*f + 4*x = -4810. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -4*w - 18. Suppose o = b + 2, -b + 112 - 106 = o. Sort w, b, -3, -10 in descending order.\nAnswer: w, b, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -0.2, -4\/5, 2, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -14. Suppose h - 15 = -2*a + 3, -t*h + 2*a + 22 = 0. Suppose 2*l + h*l = 80. What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/55 and -25\/1826.\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -496, -757, -1134, -1633, -2260, -3021?\nAnswer: -3922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965464 a multiple of 652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 46767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 2, x: 2, q: 1, a: 3, o: 1}. Give prob of sequence st.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2) + -32 - -2. Let q = -8 - b. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52002111 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-2)\/((-2)\/(-9))*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) -1.58 (c) 4\/3 (d) 867\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -228, -3 in increasing order.\nAnswer: -228, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 9 = 7*k. Suppose 0 = 4*w - k*w - 364. Let s = 94 - w. Solve -4*v + s*c = 10, 0 = -0*v + v - 2*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 34. Let c be 26321\/(-90) - 7\/70. Let q = c + 293. What is the second smallest value in q, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.52894 and 377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -1.2. Let z = -0.6 + x. Let t = 2704.9 + -2705. Which is the second biggest value? (a) -2\/17 (b) 2\/5 (c) t (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d = 25*d - 85*d + 10*d. Solve 11 = 4*m + 3*t + 16, d = 5*t - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2 + 0 + -3 + (-2*sqrt(288) - sqrt(288)))**2 + -2 + (-3 + 1 + sqrt(288) - sqrt(288)).\nAnswer: 72*sqrt(2) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -22. Suppose o*d - 4*d = 3033. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/(1\/(-8)). Let a = w + -6. What is the second biggest value in -2, -3, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*a + 2*a - 4*a + a - 1 + 1 - 2*a + (0 - 2*a + 0)*(-3 + 2 - 1) + 3*a + 2 - 1 + 5)*(-6 + 1 - 1) to x + p*a and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855662471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -73.\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -26*o + 24*o - 2*j, -4*o + 5*j = 51. Let u(d) = -4*d - 2. Let c(p) = -9*p - 4. What is o*u(t) + 6*c(t)?\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/10*5\/1)\/(-1). Suppose -8*h = -f - 18. What is the remainder when (-102)\/(-4) - (-2)\/4 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*z + 695, -4*y = z + z - 566. Let j be ((-21)\/(-4))\/(27\/y). What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13*m**3 - 11*m**2 + 7. Let l = 26 + -29. Let a(x) = -6*x**3 + 5*x**2 - 3. Give l*f(n) - 7*a(n).\nAnswer: 3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3 and -113\/648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 1090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 16, l: 2}. What is prob of sequence lll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 - 221. Solve 0 = -5*a + w + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 10. Let v(f) = 13*f - 137 + 3*f - 3 - f. Let z(p) = 6*v(p) + 85*w(p). Differentiate z(j) wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/9)*w**(1\/5))\/(w**(-2))**(21\/5)*((w**(-2\/3))**(3\/8))**10 assuming w is positive.\nAnswer: w**(659\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1949, -3972, -6075, -8270, -10569, -12984, -15527, -18210?\n\"Answer: -2*q**3 - 28*q**2 - 1925*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52464 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 8 - 3. Suppose -2*v - 15 = -x*v. Let y(z) be the first derivative of z**3\/3 - 7*z**2\/2 + 6*z + 127. Calculate y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1089.012 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4) - 2\/(-4). Let l(s) = 7*s**3 - 18*s**2 - 41*s - 6. Let k be l(-2). Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5616301057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d + 4. Let z(b) be the third derivative of b**4\/4 - 5*b**3\/6 + 8*b**2. Let l(q) = -4*a(q) - 3*z(q). Let h(v) = 5*v - 1. What is -3*h(x) + 2*l(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1177236 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 + 1 + 3 + 0 - 5 + 1 - 2 - 1 + (-4 + 0 + 5)*(-2 + 3 - 2) - 2 - 1 + 1)*(0*j - 3*j + 10*j - 6).\nAnswer: -98*j + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 5*w - 3*w. Let o be (-3)\/(1\/(-8)*-6). What is the remainder when h(o) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -11*n**2\/3 - 98*n\/3 = 0.\nAnswer: -98\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333.0216 + 335. What is g rounded to 2 decimal places?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 1, y: 1, m: 1, h: 4, o: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18039 (base 10) to base 6\nAnswer: 215303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 156 = 5*n + 183, 4*o + 4 = 0. Let j = -63 - n. Solve -12 + 0 = -j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -116, -5, 124, 277, 460, 679?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0, -3, 5 in ascending order.\nAnswer: -3, 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, o: 2, w: 1, r: 1, e: 3}. What is prob of picking 2 v and 1 e?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1452 and 7\/50?\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3))**(7\/6)*(v*v*((v**0*v*v)\/v)\/v*v)**(-11\/4) assuming v is positive.\nAnswer: v**(-269\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*o + 998, 6*x = 2*x + 2*o + 802. What is x rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*q + 3, 3 = 13*j - 14*j + 2*q. Let m(u) = u - 1. Let i be m(3). Let o be i - (j + 7 + -3). Solve n = o + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(147) - sqrt(147))**2*4.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t. Let g = 155 + -161. Suppose 4*l + 2 = 3*n, -10*l - 2*n + 2 = -12*l. Let d(o) = 8*o**2 - 6*o - 2. Calculate g*w(z) + l*d(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 119\/49 - 6\/14. Let y be 64 + (-1 + 2 - c). Let a = -13 + y. What is a rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28055922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.14 - -0.86. Sort -3, x, -2 in ascending order.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*f - 9. Suppose -45 = f*j - 30. Let s be 1\/5 - (-4)\/(-10). Which is the closest to s? (a) j (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251047\/258632 + 14\/2939. Calculate the common denominator of y and -67\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, h: 1, z: 1, d: 3, e: 3}. Give prob of sequence dh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/3 - 213*a**3 + 18422*a**2\/3 - 30472*a - 233856 = 0. Calculate a.\nAnswer: -4, 16, 18, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19384 + 5?\nAnswer: -1937a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 r when four letters picked without replacement from {w: 1, l: 7, i: 3, r: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 6*q - 9. Let n be l(-3). Suppose 0 = -t + n - 34. Factor 6\/7 + 20\/7*f + 6\/7*f**t.\nAnswer: 2*(f + 3)*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 2:08 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:40 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -444 + 433. Let c(u) = -u**3 - 8*u**2 + 22*u + 7. Does 5 divide c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/8 - 945*n**2 + 106653*n\/2 + 110432 = 0.\nAnswer: -7616, -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 56?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2814186, 2814138, 2814090, 2814042, 2813994?\nAnswer: 2813946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006623 + -39180.\nAnswer: -39180.006623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from oojjssjjjjssjjs?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 4. Let r(u) = -1 - 2 + 2 - u. Let f(p) = -d(p) - 6*r(p). Differentiate f(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169648 is divided by 792301?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9614557 to the power of 1\/2, to the nearest integer?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2736.941um?\nAnswer: 0.2736941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 9*a = 352. Suppose -2*u + 2*g + 2*g = -a, g + 366 = 4*u. Suppose -82 - u = -3*z. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.487320239 rounded to 1 dp?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*w - v + 5*v, 13 = 2*w - 3*v. Is 4 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 9*s + 605. Is n(26) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + -2 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-45)\/105)\/(3\/21). Solve 58*o + 2*o + 240 = z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1400)*-3 - sqrt(1400))*6)\/(sqrt(1152) + (sqrt(1152) - (-2*sqrt(1152) - sqrt(1152))) - (sqrt(8) + sqrt(48)\/sqrt(150))).\nAnswer: -100*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -9, 5*f = -27*v + 25*v + 506. Calculate the smallest common multiple of f and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*(1 + sqrt(117)) + sqrt(117) + 2)**2*2 - ((sqrt(117) + (-3*sqrt(117))**2*3 - sqrt(117)) + (sqrt(117) - (sqrt(117) + -1 + 0) - sqrt(117)))).\nAnswer: -2222 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26743339531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3148588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 3*y**2 - 5*y - 1. Let p be r(8). Suppose 5*b - p = 4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -386 divided by -174732\nAnswer: 193\/87366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 88*b**2 + 89*b**2 - b**3 + 0*b + 0*b as w*b**4 + p*b + i + u*b**2 + x*b**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m - m. Let x = 13 - 11. Suppose -4*n - x*h = -20, 15 = 4*n - 3*n - 2*h. Solve 5*s = 2*l - 11, 0 = -m*s + 2*l - n*l + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43724 = -25*l - 14824. Round l to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250 + -193. Calculate the remainder when 853 is divided by r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 11\/3*c**4 + c + 0*c**2 + 0*c**5 + 0 + 0*c**3 - c**6. What is the third derivative of g(z) wrt z?\nAnswer: -720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 301 - -5a911?\nAnswer: 5b012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + x + 10 = -2*d, 2*d - 4 = 4*x. Suppose 0 = -2*n - 4*f + 19812, -d*f + 2 + 4 = 0. What is n rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649420 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 423501319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-5)))\/(r*r*r**(-2\/11)))\/(r**(5\/9)*r**(-3)) assuming r is positive.\nAnswer: r**(-433\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - -33. Let w be 3 + p\/(-18) + 2\/9. Suppose m - 114 = 2*u, u - 47 - 468 = -w*m. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -30 (c) -2.4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*a - 295, -i + 5*i + 132 = 2*a. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 30.329, 0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9521184 - -2.\nAnswer: 4.9521184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116 - 129*l - 13*l**2 - 1116.\nAnswer: -13*l**2 - 129*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**2 + 0*a**5 + 0*a**4 + 0*a**4 - 3*a**5 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3694377\/38106859 + -3\/289786. Let y = z - -26495\/229862. Let d = 48427\/4370 + y. Calculate the common denominator of -125\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 946707*h + 213802554.\nAnswer: 3*(h + 226)*(h + 315343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57.64 - -2.36. Let p = g - 61. Which is the closest to p? (a) -0.08 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176359 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1300)\/(-75)*15\/(-40)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(16\/(-10))*2\/2. Find the third derivative of -8*c**2 - 9*c**s + 3*c**5 + 7*c**5 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 13*f**2 + 41 - 11*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37113792 is divided by 652.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/((-100)\/(-240))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**3*n**3 + 1288*l**3*r**2 - 11*l**2*n**3 - l**2*n**2*r**2 + l**2*n*r**2 + 26*n**3*r wrt l?\nAnswer: -18*n**3 + 7728*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/41))\/h)\/(h*h**(-39)\/h)*(h**16*h*h*h)\/((h*h**(2\/85))\/h) assuming h is positive.\nAnswer: h**(202303\/3485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from cdcupqs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b = -31*b - 21*b - 231 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155.14191 - -0.11191. Let a = f + 155. What is the nearest to -0.07 in -4, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122502 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -610 + 413. Which is bigger: -196 or l?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27810725, 27810723, 27810721, 27810719, 27810717, 27810715?\nAnswer: 27810713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l**2 + 2*l - 14. Let k(s) = s**2 - s + 1. Let g(q) = d(q) + 2*k(q). What is the derivative of g(y) wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 132. Is i a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -185*i**2 - 4*i. Let v(d) = -369*d**2 - 9*d - 1. Determine -5*n(u) + 2*v(u).\nAnswer: 187*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + 1 + 1 + sqrt(242) + sqrt(242)) - (-1 + (sqrt(242) - 2*sqrt(242))))**2.\nAnswer: 22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2\/(-5 - 3) + (-1681)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1639963 and 182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 15) + 1 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150952 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.5. Let z be (3\/(-4))\/(1\/(-4)). Which is the smallest value? (a) k (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 12*a**2 - 13*a. Let m(r) = r**2 + r - 1. Suppose 0 = -293*j + 292*j - 1. Let b(y) = j*h(y) - 4*m(y). Determine b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72179 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 1. Let g(q) = 6*q**4 + 11*q**3 + 11*q + 11. Let j(z) = -2*g(z) + 22*i(z). Find the second derivative of j(m) wrt m.\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**2\/3 - 92504*j + 1604435628 = 0.\nAnswer: 34689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let g(m) = 6*m**2 - 4*m - 1036. What is g(i(p))?\nAnswer: 6*p**2 - 4*p - 1036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -415641*z**2 - 18*z - 32. Let p be w(-6). Round p to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131441 rounded to the nearest one thousand?\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -3*u**7\/70 - u**6\/24 + 37*u**4\/4 - 168*u**2. Find the second derivative of f(t) wrt t.\nAnswer: -108*t**2 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**3\/q*q)\/q)\/q)\/(q*q*q*q**2*q)*q*q**(-4)*(q\/(q**0\/q))\/q)\/((q**(2\/7))**(-1\/51))**(1\/32) assuming q is positive.\nAnswer: q**(-34271\/5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16695 is divided by 159.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 225, 512, 923, 1464?\nAnswer: 2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50669.\nAnswer: 23, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.1736 and 1.\nAnswer: 5.1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1047917, -2095882, -3143847, -4191812, -5239777, -6287742?\nAnswer: -7335707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {c: 5, y: 1, n: 3, l: 1, f: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1619\/11 + -147. Suppose -3*z = 2*z + 5. Let y = -51 + 253\/5. Which is the closest to z? (a) y (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*n + f - 484927 = 90*n, f + 808201 = 5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + m + 1. Let y be c(-4). Suppose -5*u + 2*t + 74 = -0*t, -2*t = -6. Let d = y - u. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -0.3, 1\/4, 12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1463140 from 0.099.\nAnswer: -1463139.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 9. Let b = 13.0042862696 + -0.0042854296. Let t = b + a. Round t to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205 - 790. Let z = -569 - f. Which is the third smallest value? (a) -2 (b) -4 (c) -0.2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 84 = -4*j - 0*i, 5*j + i - 126 = 0. Let x be (-2 + 18\/15)*-70. Suppose 0*w - x = -4*w. What is the remainder when j is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - f - 2, 1586 = -3*y + 2*f + 1587 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897\/5 bigger than 378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 69. Let r(u) = -3*u. Calculate r(y(a)).\nAnswer: -3*a - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 50 = -2*z, 0 = -2*k + 1702*z - 1707*z + 44. What is the lowest common multiple of k and 1590?\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2665791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(-3 + 3 + 0))\/1. Let k be (52\/1)\/2 + -2. Suppose j*z = 4*z - k. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*f + 2, 5 = f + 2*v + 1. Suppose 0 = -16*t - 12 + 12. Suppose t = 557*w - 566*w + 45. Sort w, f, 21 in descending order.\nAnswer: 21, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -632, -893, -1174, -1481, -1820, -2197, -2618, -3089?\n\"Answer: -z**3 - 4*z**2 - 242*z - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 143. Suppose -2*l + 16 = 6, -5*k = -2*l - o. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12792553.\nAnswer: 31, 412663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177.2 + -177. Let z = -1 + 0.9. What is the closest to 0 in 2\/3, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299\/915 - -2\/305. Let u = 6.08 - 6. Let g = -5.08 + u. What is the second biggest value in g, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15561185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -2\/7 (c) -490 (d) -117 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 11*k**2 + k + 15. Let m be l(-11). Let p be (-203)\/63 + m\/18. What are the prime factors of (-111)\/(-3) + 7 + p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.513874 months to decades.\nAnswer: 0.12094895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862525473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 3. Let f = 13248 + -13252. Let h(x) = -1. Let n(w) = -14. Let m(l) = 10*h(l) - n(l). Calculate f*g(j) + 3*m(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 1. Let k = 343 - 339. Determine i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 180*x - 139*x - 1680 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 6, -9, -40, -93, -174?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -195. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1) + (-8)\/4. Let s(d) = 2. Let p(q) = q - 3. Let w(z) = -3*p(z) - 4*s(z). What are the prime factors of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 8, n: 4}. What is prob of sequence ek?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (0 + sqrt(11) + -1 + 2 + sqrt(275)*1 + 2)**2.\nAnswer: 36*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3, 5655, 0.04.\nAnswer: -0.7, 0.04, 3, 5655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 242401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*(p**12*p)\/p)\/p))\/p)\/p**(-12))\/(p**(8\/3)*p*p\/p**(-10)) assuming p is positive.\nAnswer: p**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 5. Let r(y) = -994767*y. Determine c(r(g)).\nAnswer: -1989534*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -18*d**2. Let c(o) = 20*o - 12. Let i(u) = 8*u - 5. Let q(a) = -5*c(a) + 12*i(a). What is r(q(z))?\nAnswer: -288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603*s + 3233 = 218. Let f = 2 - -2. What is the closest to -3\/7 in 0.4, f, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 + (-7)\/7*1)*439?\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18 and -113\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.145 + 0.885. What is l rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120880\/37 > -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55493807, -110987617, -166481427, -221975237?\n\"Answer: -55493810*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 f when three letters picked without replacement from {l: 2, f: 3, q: 9, w: 5}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12177 and 12393?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2486, 14160, 33630, 60908, 96006?\nAnswer: 138936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*s = 859*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 1. Let a(y) = 2*y**2 + 3*y - 1. Determine -a(z) + 3*p(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4 + 4 + (3 + 2 - 6)*(2*q - q + 0*q))*(-4*q**4 + 12*q**3 - 12*q**3).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**27\/(v\/((v*v\/(v*(v**17*v)\/v))\/v))**(-2\/77) assuming v is positive.\nAnswer: v**(-3978\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 59 (b) 2 (c) 2\/255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9412592.774 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3949, -7898, -11847, -15796, -19745, -23694?\n\"Answer: -3949*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246.53 + -247. Let p = r + 0.37. Which is the closest to -3? (a) -4 (b) p (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22576367, -22576368, -22576369, -22576370, -22576371, -22576372?\n\"Answer: -k - 22576366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8591.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -440, -421, -388, -341, -280, -205, -116?\n\"Answer: 7*c**2 - 2*c - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 14*d - 36. Let w(s) = -s**2 + 9*s + 3. Let b be w(d). Factor 4*q + 6*q**4 + 2 + 0 + q**5 + 5*q + 16*q**2 + 14*q**b.\nAnswer: (q + 1)**4*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 570852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82540274 - 6166355 + 40398121 = 154*z. What is z rounded to the nearest ten thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/77 in -1, -0.04, 8\/27, 0.4, 1\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/9 - 236*n**3\/9 + 1762*n**2\/9 + 21812*n\/3 = 0?\nAnswer: -123, -14, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8934 is divided by 372.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -60, -127, -246, -435, -712?\n\"Answer: -3*o**3 + o**2 - 15*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/20)\/((-370)\/(-75) - 5). Solve -4*t + y*d + 0*d + 27 = 0, -29 = -3*t + 4*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*6*8359\/(-468). Let g = w - -79. What is t in 20\/9*t**4 - 12 - 6*t + 8*t**2 + 2\/9*t**5 + g*t**3 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*7\/56)\/((-5)\/60*(-18)\/42)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.036?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 12*u - 18. Let y be i(-14). Let l = y + -5. Solve -10 = -l*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5505 divided by -105.\nAnswer: -367\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2361 - 2163. Solve -s*h = -195*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*d - 16 = 28, -4*i - 3*d = 33. What is the hundreds digit of (-3 - 258\/i)\/(2\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8441218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*0.079.\nAnswer: 7.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 + 26*y + 3. Let c be j(0). Let w be 1\/2*13*2. Suppose l = q + 2, w = -c*q - q + 5*l. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -92 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (43 - 44 - (-1 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-6) + 2\/(-4). Suppose -d*l = -2*u + 38, 5*u - 2*u = -5*l + 57. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -14, -1, 3 in descending order.\nAnswer: 5, 3, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -9, 5, 3, 2, 56, 18 in descending order.\nAnswer: 56, 18, 5, 3, 2, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-4)*(-3)\/6*-2. Solve 12 = -x*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185988.375 * -0.3\nAnswer: -55796.5125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:25 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/8 + 34773*m**2 - 32794383*m\/8 + 483563115\/4.\nAnswer: -3*(m - 92610)*(m - 59)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 3 - 1 + 12*y**2 + 4. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*f + 8, l - 2*l - 4*f = 18. Let n(k) = 5*k**2 - k - 6*k**l + 2*k**2 + 3. Determine n(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 2 + 47*i - 2*i**4 - 95*i - i**2 + 52*i + (i**3 - 3*i**3 - i**3)*(-8*i + 20*i + 8*i) to p*i + d*i**3 + o + y*i**4 + m*i**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -211 (b) 32 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -233194548 times -1\nAnswer: 233194548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -14, 17, -6.\nAnswer: -14, -6, -5, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 w, and 1 c when three letters picked without replacement from {w: 3, n: 5, c: 2, v: 3, s: 1, b: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*h**2*z - 14499*h*z + 2568785*z wrt h.\nAnswer: 78*h*z - 14499*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*j**2 + 3 + 4*j - 1\/4*j**3 = 0. Calculate j.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(110)\/sqrt(250) + (((sqrt(660) - 4*sqrt(660))\/sqrt(12))\/sqrt(5))**2.\nAnswer: 2*sqrt(11)\/5 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 14.49.\nAnswer: 72.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143 is divided by 396?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -299, -619, -1069, -1649, -2359?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61553 is divided by 180?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -99410\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -340 + 348. Let n(r) = -r**3 - 5*r**2 + 2. Let b be n(-5). Let w be ((-4)\/y)\/(b\/(-8)). Solve 0 = -3*h - w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/((-3433149)\/(-171657) + -20).\nAnswer: 2, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6074, 12169, 18262, 24353, 30442?\n\"Answer: -z**2 + 6098*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1131, 2348, 3567, 4788, 6011, 7236, 8463?\n\"Answer: b**2 + 1214*b - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54446965.\nAnswer: 5, 10889393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18195732 - 18196632.0583. Let o = r - -900. What is o rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33828045*x**6 - 38589931*x**2?\nAnswer: -4059365400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - k. Let z be c(-1). Let n be 4*1*(-29)\/(-58). Let t(h) = -4*h**2 - 14 + 3*h**3 - n*h**3 + 0*h - 4*h + 17. Calculate t(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -0.1. Let q = -4.3 - -4. Let f = 0.3 + q. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 257, 363, 463, 557?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-5 - n + 5) - 4*n - 5*n + 5*n)*(230*n - 230*n - 33*n**4).\nAnswer: 66*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.993 and -74271?\nAnswer: 74268.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2830*x - 2834*x - p + 45 = 0, -3*p - 35 = -5*x. Let a = -3 - -13. Calculate the greatest common divisor of x and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*v - 71 + 35 + 36 as t + f*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8.765396124553 + 2\nAnswer: 10.765396124553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105, 85, 43, -33, -155, -335, -585, -917?\n\"Answer: -2*k**3 + k**2 - 9*k + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-46)*(-26)\/(-14 - 90)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.97 + -34.94. Sort 2\/15, t, -10\/43 in decreasing order.\nAnswer: 2\/15, t, -10\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004014495 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 6*g + 9. Let p be y(6). Let c = -14 + p. Suppose -2*h = 2*l - 30, 0*h = 2*l + 3*h - c. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 168*j = -827247. List the prime factors of j.\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -44. Let w be 1\/(5\/30*9\/d). Calculate the highest common factor of 238 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6090 divided by 5.\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/55125 and -169\/47250.\nAnswer: 330750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.055, 3, 5\/2, -5 in descending order.\nAnswer: 3, 5\/2, 0.055, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4792*k + 5041*k + 1 - 1 + 0.\nAnswer: 249*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*p - 11. Let u = p - 5. Let n(q) = -14*q + 9. Let v(z) = -12*z + 7. Let x(d) = 4*n(d) - 5*v(d). Determine x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*w**2 - 2*w - 297*w**2 - 23*w**5 + 2*w + 10*w**3 - 16*w**5 wrt w.\nAnswer: -2340*w**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 120, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*l)*(84*l**2 + 85*l**3 - 84*l**2 + (0*l**2 - l**2 + 2*l**2)*(2*l - l + 3*l)).\nAnswer: 178*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -31*d**2 - 2*d - 6. Let s(y) = -32*y**2 - 2*y - 7. Let o(c) = -5*a(c) + 4*s(c). Let h be o(-2). Let i = 152 - h. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496771, 993533, 1490307, 1987099, 2483915, 2980761?\nAnswer: 3477643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 + 55*k**2 + 90*k + 40 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-16)\/148)*(0 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - 65 - (11 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 = 4*w, 5*s + 0*w - 4*w - 19 = 0. Let t be (-12)\/(-2 + -1) + -2. Let a be t + -5 + 18\/s. Solve -5*v = -3*v - 5*i + 2, -i = -3*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*f + 2*f. Suppose f = 2*z + 2 - 36. Calculate the remainder when 48 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(8)\/sqrt(4) + 2 - (-4 + sqrt(2) + -2))*-3*5)**2.\nAnswer: 518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 9*i - 5. Let h be d(-10). Let j = h + -6. Calculate the common denominator of (1 + 52)*j\/18 and 49\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 5. What is the tens digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 996*n**2 + 3985*n + 6. Let x be j(-4). Suppose -2\/9 + 0*h + 2\/9*h**x = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n = 3*x + 47, -3*n = 15. Let d be (212\/(-6))\/(x\/(-21)). What is d rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 29*i + 45, 0*a + 8 + 61 = 2*a - 4*i - 5 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 0, 69*h - 74*h = -2*q + 4*q + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 0. Let r = -3.07 - t. Let v = r + -1. Which is the second biggest value? (a) -3 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**3 + 6*i**2 + 6. Let t = 1 + 5. Let q(k) be the second derivative of 3*k**5\/10 - 5*k**4\/12 - 5*k**2\/2 - 7977*k. Determine t*q(p) + 5*l(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2303549*g**2 - 2303548*g**2 - 2303546*g**2 + 6910642*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) + 13 + 2. Let l(r) = n*r - 14*r**2 - 6*r - 6*r - 1. Let h(x) = -x**2 - 22*x - 120. Let c be h(-11). What is l(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21196350 and 2380?\nAnswer: 720675900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*n + 705 = 0, 3*b + 75 = -10*n + 1147. What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 4}. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 134*l + 152. Give o(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - (18 + -42 + 41)) + 44.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*t - 871 + 125 = 106 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.92 - 0.61. Let z = -0.03 - v. Let l = z + -3. Sort 3, l, 5 in decreasing order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five quarters of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 + 7*j**4\/12 - 2*j**3\/3 - 2*j**2 + 18*j. What is k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-3)\/(-42)). Let v = 2 + 0. Suppose 4*t + 3 = 4*l + x, -l + 2 = v*t. Which is the nearest to t? (a) -0.5 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 3829655?\nAnswer: 3829655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + x**2)*(130*x + 83*x + 1003*x).\nAnswer: 1216*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1672d - 165?\nAnswer: 165a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 13*q**2 + 30*q + 3. What is t(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 18\/(-9))\/((-21)\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 222*m - 220*m, -5*m = 3*t - 39 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 15*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -13*g**2 + 6*g + 9. Let z be f(-5). Let l(j) = -4*j**3 - j**2 - 5*j - 6. Let w be l(5). Let b = w - z. Round b to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -102. Let a = d + -52. Put -16, a, 2 in descending order.\nAnswer: a, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4)*m**(1\/2))**(2\/45)\/((m\/(m*m**10))\/(m**(-7)*m))**(5\/13) assuming m is positive.\nAnswer: m**(1043\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/4 + 627595*q**2\/4 - 4927128600*q + 231228584640.\nAnswer: -5*(q - 62736)**2*(q - 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 20*z + 80. Suppose 2*x + 27 = -x. Is z at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 95*p - 2.\nAnswer: -95*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98, 235, 394, 551, 682, 763, 770?\n\"Answer: -4*f**3 + 35*f**2 + 60*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63480 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 1.2, -12, -2 in increasing order.\nAnswer: -12, -4, -2, -0.5, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.5 + 0.5. Let d = 2.8 - f. Let i = -7 + d. Which is smaller: i or 19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -2 + (40 - 40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26574434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.5573 years in months?\nAnswer: 8322.6876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3856.98961 rounded to the nearest ten?\nAnswer: -3860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(-1*sqrt(130) - sqrt(130) - sqrt(130)) - ((sqrt(130) - sqrt(130)*1) + sqrt(130) - sqrt(130))*1)\/((sqrt(10) + sqrt(20)\/(sqrt(12)\/sqrt(6)))*-6).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782*h + 781*h - 119*h**2 + 119*h**2 - 538*h**3.\nAnswer: -538*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8591456 and 23834?\nAnswer: 146054752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7787371.\nAnswer: 7787371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*x - 53*x + 454*x + 91*x + 695*x - 1.\nAnswer: 1408*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -198, -218, -256, -318, -410, -538?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**5 + 0 - 16*w + 0*w**3 + 0*w**2 - 1\/5*w**6 - 1\/6*w**4. What is the third derivative of p(t) wrt t?\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 2, o: 6, m: 4, t: 2}. What is prob of sequence omom?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y**2 - y + 2*y**2)*(-259*y**2 - 140*y**2 + 159*y**2).\nAnswer: -480*y**4 + 240*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 260*n**3 - 215*n**2 - 2100*n + 3060.\nAnswer: -5*(n - 51)*(n - 2)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12919328, 25838652, 38757976, 51677300?\n\"Answer: 12919324*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 8) in base 2?\nAnswer: 100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 472 + -53. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose 4 = i - 0*m + 2*m, i + o = 5*m. Let q(w) = 7*w - 3. What is q(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1)\/(-17 + 18). Solve a*t = 15, -31 = -2*u + t - 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/30))\/(-3)*(-5)\/(-65)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3065*h**3 - 3064*h**3 + 1783*h**2 - 1779*h**2.\nAnswer: h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 + (-39)\/(-9). Let m = -53 - -56. Suppose b*x - 469 = m*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 27 = 2*u. Suppose g = 3*v + 16, -5*g + v + 108 - 42 = 0. Let n = g + u. What is the highest common factor of n and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251802767 to the nearest integer?\nAnswer: 15868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - 2\/(-4). Suppose -f = -w, -f + 3*f + 2*w - 8 = 0. Let v be (10\/(-15))\/(2\/(-15)). Solve -3*o - 19 = -v*b - k*b, 0 = f*b + 4*o - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48229 is divided by 24107.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 232005*u**3 + 319075632*u**2 - 147451709184*u + 22759511986176.\nAnswer: 3*(u - 75943)*(u - 464)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.755161ng?\nAnswer: 0.000000000009755161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-637)\/(-28) - (-3)\/12. Is 4\/((-20)\/(-15)) + i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 2\/2) + 3. Suppose d + 3 = -2*x, m*x - 1 = -d - 4. Let a be x\/(4 + 1 + -3). Solve 6 = -2*g - a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 48184.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12593 and 3185008967?\nAnswer: 12593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttix when four letters picked without replacement from sxtxttttxsdxiddt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*t**3*y**2 - 25*c*t**3 - 2*c*t**2*y**2 + 209*c*y**2 - c - t**3*y**2 + 2*t*y**2 wrt t?\nAnswer: 12*c*y**2 - 150*c - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15434403 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -249, 2420, 5099, 7788, 10487, 13196, 15915?\n\"Answer: 5*f**2 + 2654*f - 2908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 0.2 (c) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4 - 0. Let h be -11 + w\/4 + 3. Calculate the remainder when (-194)\/(-8) - h\/12 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 652 - 649.512. Let z = k - 2.5. Let l = z + -3.988. Which is the second biggest value? (a) 2\/13 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 40 = -5*x, -3*y = 4*x - 507897. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*s + 3, -3*s = -2*l + 23. Suppose 0*t + l = 2*t. Let q(m) = m**2 + 7*m + 7. Let d be q(-6). Put d, t, 4 in decreasing order.\nAnswer: t, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 26 = 2*y + 3*d, -2*d + 16 = -4*y. Suppose -116 = 2*r - 6*r - 2*o, 0 = 4*o + 8. Let f(p) = r*p**2 - p**3 - 2*p + 28*p**2 - 2 - 63*p**2. Give f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 8. Let a = -28 - -34. Calculate f(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.23592 nanometers to centimeters.\nAnswer: 0.000004123592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649 < 4724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 8. Let m be (80\/(-120))\/((-4)\/30). Calculate b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 70 = 0, -14*y + 10*w - 17*w - 12 = -12*y - 5*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = b - 5*t, -9 = b - t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(91)\/sqrt(7) + -1)**2.\nAnswer: 30*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 56*c**2 + 2176*c + 4096.\nAnswer: -4*(c - 32)*(c + 2)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 5, -0.2, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11121122011 (base 3) in base 10?\nAnswer: -90859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 3:05 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2 - 9*q + 7. Let f(w) = 7*w**2 - 8*w + 6. Let y(h) = 3*h**2 - 70*h + 188. Let x be y(3). What is x*b(g) - 6*f(g)?\nAnswer: -2*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-3)*(400\/60)\/(25\/(-45)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348701 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2. Let t(l) = -53447*l. Calculate t(h(y)).\nAnswer: -267235*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*x + 5, 0 = -2*l - 15 + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p + 1803 - 2011. Suppose -4*a + 4 = -5*r - 7, 2*a = 4*r + 4. What is the smallest common multiple of a and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761140903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (64\/(-6) - (-36)\/54)*-7 is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*a**2 - 2)*(a**2 + 2*a**2 - 6*a**2) - a**4 + a**2 - a**2 + (2*a**3 + 2*a**3 - 2*a**3)*(-a - 2*a + a).\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1*2\/2*(-113)\/(-113).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -784 - -3882. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -y - 0*y. Let c = y + -16. Let q(h) = -2*h**2 - 4*h + 1 + 2*h**2 - h**2. Give q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 6) to base 5.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 2*r**2 - 4 - 517863*r - 2 + 517840*r. What is u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4570412, -4570411, -4570408, -4570403, -4570396?\n\"Answer: h**2 - 2*h - 4570411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2088 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Suppose 3*z + 5 = i - 6*i, -h = 2*z + 3*i. Suppose -4*l + 32 = -4*g, -5*l + l - g + 7 = z. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 1580*d - 534139. Determine l(-1090).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1405, 0.4, -5, 1 in descending order.\nAnswer: 1, 0.4, -2, -5, -1405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 67. Let s = g - 38. Let z = s - 22. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:42 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0862 + 0.0859885. Let o = j + 0.4602245. Let f = o - 0.46. What is f rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1276855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 15300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**10\/(o\/o**(9\/4))*(o\/(o\/o**(3\/4)))**(-17\/3) assuming o is positive.\nAnswer: o**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/20 + 33*a**4\/4 - 67*a**3\/2 - 811*a**2. Determine p, given that v(p) = 0.\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1.3. Let d = w + -0.3. Let v = -6.2 - -6.4. What is the nearest to d in 2\/13, 1\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1544*p + 3315. Is k(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v. Let r(n) = -18*n + 27335. Give b(r(s)).\nAnswer: -234*s + 355355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1682382 years in decades?\nAnswer: 0.01682382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) + 2052\/20 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 95\/2*(118 - (14 - 20))?\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**2\/2 + 48. Suppose -5*i - 4*u + 2 = 0, -2*i = -4*i + 3*u + 10. Let a(h) = -h**i + 32 - 32. Calculate a(l(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -300, -645, -1110, -1689, -2376, -3165, -4050?\nAnswer: -5025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929344923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 35, 105, 219, 383, 603, 885?\n\"Answer: w**3 + 13*w**2 - 14*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) 521 (c) 5 (d) -3.9 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 110 - 2*z + 142.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 2, p: 5}. Give prob of picking 1 o, 2 x, and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20201112 (base 3) to base 14.\nAnswer: 1b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 993 + -997. Which is the third biggest value? (a) p (b) -0.3 (c) 2\/255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4955 and 1982?\nAnswer: 9910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:02 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58473, -59250, -60027, -60804, -61581?\nAnswer: -62358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d + 8. Let l(m) = -m - 1. Let c(i) = 4*l(i) + r(i). Let j be c(3). Suppose 2*g = -2*g + j, -5*g = -2*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -469 in 4, 0.3, -1\/7, 3\/200?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -13211960 by -83620.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(0*f - 8*f - 11*f)*(-2*f**2 - 4 + 4 + (-2*f + f - 4*f)*(4*f + f - 4*f)) in the form n*f**2 + p + c*f + d*f**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16 = 4*r. Suppose -y = r*y - 35. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 32620.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 811*j - 815*j + 1626*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 - q**3\/6 + q**2. Let t be a(1). Solve -2*r + 10 + 0 = t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 2683 - 2683.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3\/3 + 18. Let s(g) = -g**2. Give s(u(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 0*o**2 + 0*o**2 + (4*o - 4*o - o)*(2*o**3 - 2*o**3 + o**3))*(-3 - 2*o + 3 + 2).\nAnswer: 4*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79619 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480384 divided by 8?\nAnswer: 310048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79781.5 + -363.\nAnswer: -80144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003036652151 to 7 dps.\nAnswer: 0.0003037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 45*u\/8 - 3\/4.\nAnswer: 3*(u + 2)*(8*u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -251*p + 1773. Suppose 0 = 2*o - 4. Let m(f) = 22*f**2 - f. Calculate the smallest common multiple of m(o) and v(7).\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:26 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**7\/147 + a**6\/105 + 3*a**5\/70 - a**4\/42 - 2*a**3\/21 + 7*a. Determine w so that s(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43802 and 2534?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 3*q + 56 - 30 as c*q + u and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177244 + 0*j + 158672 - j.\nAnswer: -j - 18572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/7 + 36*o**2\/7 - 47*o + 42 = 0.\nAnswer: 1, 14, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.302 - -4.688. Let v = d + 0.01. Which is the third smallest value? (a) v (b) 3\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3302 (base 5) to base 3\nAnswer: -121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*a**2*b**2 - 253*a**2*b + 2*a*b + b**2 wrt b.\nAnswer: -160*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 186.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83745085?\nAnswer: 5, 16749017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - 0) + (46 - 50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.086349 meters in nanometers?\nAnswer: 4086349000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37408 and 106880.\nAnswer: 748160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -6 + 56. Let x be r\/6 + (-1)\/(-3). Suppose 4*l + l + 5 = 0, 0 = 5*i + 3*l - 22. Solve i*u - x*u = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192)*-1 + (sqrt(165)\/(sqrt(11)*-1))\/sqrt(5))*-1.\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t - 4. Let d be s(-3). Let x(a) = d + a + 1 - 4 + 2*a. Let f be x(1). Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332058?\nAnswer: 2, 2666029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b + 0*b**2 + 1\/3*b**3 + 7. Let i(w) = -12*w. What is i(y(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*3 + sqrt(24))\/(-1*sqrt(8)*1) - (-3*sqrt(4320) + sqrt(4320))\/(sqrt(90)*-3).\nAnswer: -65*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000470474 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**(-16))))**(-34) assuming f is positive.\nAnswer: f**(-578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:58 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 3496424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-138.6.\nAnswer: 13.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 3*h - 11. Let s(b) = -2*b**2 + b - 5. Determine -5*s(j) + 3*z(j).\nAnswer: j**2 + 4*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(8\/(-33)))\/(150\/(-100)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(9*6\/12168). Suppose h = 7*r + 130. What is the remainder when r is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) -2\/11 (b) -0.2 (c) 0.9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -19 + 20 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 24 + 18*z**2 - z**3 - 17*z**2 + 2*z - 5*z. Let m be k(0). What is the units digit of 2\/6 - m\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 26306086.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26901 + 1?\nAnswer: 26902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 9 - 0. Solve 0 = -f*r - 3 + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 615 and 410.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 11}. Give prob of sequence ii.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 866 + 8611. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*j + 92 - 8 = -135*j. Solve a + 6 = 3*w + 2, 5*w + 2*a - j = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 16*v**2 - 27*v + 13. Let s(l) = -l**3 - 8*l**2 + 14*l - 7. Let z(a) = 3*p(a) + 5*s(a). What is the tens digit of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14416\/7 (b) -0.15 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 2*n**3 + 0*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-16))\/(-5)*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(5\/3))\/q*q**11)\/(q\/(q**(-1\/27)*q*q)*q**0))**(-23\/4) assuming q is positive.\nAnswer: q**(-3197\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 1. Let i = s - -23\/5. Let a = -39696 - -39683. Sort i, -0.5, a in increasing order.\nAnswer: a, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -205, -287, -367, -445, -521?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8846911*x**2. Let o(p) = -2*p**2. Give o(y(j)).\nAnswer: -156535668483842*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45157100 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 14 - 3 - 11*a**4 + a**2 - 40*a - 52476*a**3 + 52479*a**3 to m*a**2 + c*a**4 + b + y*a + r*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-2*q - 12*q - 2 + 23*q) + (5*q + q - 4*q)*(3 - 3 - 23) in the form w*q + l and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5611489*s - 5611489*s + 9 + 0 + 4*s**2. What is d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -644, -671, -708, -749, -788, -819, -836, -833?\n\"Answer: t**3 - 11*t**2 - t - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8301435 to the power of 1\/2, to the nearest integer?\nAnswer: 2881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 243 + 96. Let d = 339 - w. What is the closest to -2\/5 in 0.1, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**4 - 8*o**3 - 396*o**2 + 117086*o.\nAnswer: 60*o**2 - 48*o - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1647131.\nAnswer: -2\/1647131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -6 (b) -5 (c) -1\/5 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 + 356 + 45*s**3 - 712.\nAnswer: 45*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1889 - (-7 + -4 + 5). Let v(u) = 19*u - 5. Let y be v(2). Suppose -38*j + y*j = -h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200120020022121 (base 3) to base 10\nAnswer: -9865789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2694191, -5388390, -8082589, -10776788, -13470987, -16165186?\nAnswer: -18859385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 627\/99 - 32\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htlh when four letters picked without replacement from hzhbbktl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195.4 + 195. Which is the third smallest value? (a) r (b) 3 (c) 4\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2) + sqrt(12))*-5*1 + -2*(-1 + -5 + (sqrt(18)\/sqrt(6))**2).\nAnswer: -20*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2271, -2258, -2241, -2220?\n\"Answer: 2*q**2 + 7*q - 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -0.236.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26233 + 26229. Let a be 3\/(-12) + (-1)\/(-2). What is the closest to a in 17, u, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.63 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:55 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1136 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*c - 4*m = -56*c + 1310, 5*c - 3247 = 3*m. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4709620376, -4709620377, -4709620378, -4709620379, -4709620380?\n\"Answer: -j - 4709620375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 125, 58, -53, -208, -407?\n\"Answer: -22*g**2 - g + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*u - 4 - 4 = 0, -4*u = -q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6)\/z*z)\/(z\/((z\/z**(1\/12)*z)\/z*z))*(z**(-4)*z*z)**(-2\/47) assuming z is positive.\nAnswer: z**(4513\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*l - 27*l - 27*l)*(-65*l**3 + 5 + 32*l**3 + 26*l**3) in the form t*l**3 + r*l + o + q*l**4 + j*l**2 and give q.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(-1 + 6\/9). Let u be (-2)\/6 + (-2)\/f. Let m be (u - 1)\/(3\/(-12)). Solve 4*o + 0*o = m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 5*d - 407. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7023 + 9685. Calculate the remainder when i is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 6, i: 1, w: 2, l: 4}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820672 >= 1820673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 - 345\/2. Let q = x - -35\/8. Suppose 0 = -2*o + 2. Is o at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14342238, -14342229, -14342218, -14342205, -14342190, -14342173, -14342154?\nAnswer: -14342133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 125969.\nAnswer: 21414.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15025 = -5*u, -2*u = -2*f - 3853 - 2157. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217\/436 + 1\/436. Factor 3*g**4 + 8*g - 12*g**2 + z*g**3 + 0 + 1\/2*g**5.\nAnswer: g*(g - 1)**2*(g + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.18 and 271?\nAnswer: -7636.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376502192532.822 + -376492884399.92300137. Let t = 9308133 - w. Let y = t - 0.101. Round y to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48485)\/(-7) - 24\/(-42). Find the second derivative of v - 6927 + 66*i - 4*i**2 - 35*i**3 wrt i.\nAnswer: -210*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: e835aa (base 16) to base 9\nAnswer: 31564258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j = -141*j + 257*j + 102. Solve 5*n - 13 = -3*p, n + 9*p = j*p + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 127*l - 3. Let c(v) = 91*v - 2. Let s(u) = -15*c(u) + 10*m(u). Let a(q) = 1 - 1 + 3*q. Determine s(a(r)).\nAnswer: -285*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 43*n**2 + 266*n - 5160. Calculate t(22).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:21 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*b + 12 = 4*v, 7 = 2*b + 3*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*r**2 - 387*r**3 - 218*r**2 + 282*r**3 + r to y*r**2 + l*r + v*r**3 + q and give v.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.868 micrometers to millimeters.\nAnswer: 0.078868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 - t + 4. Let c be g(3). What is the units digit of (-6)\/c*(-13 - -17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 24. Let b = k - 5. Suppose 4 = -o, 5*o = 4*w - 7 + b. Are w and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*m = -26, 4*c - 164 = -5*m - 60. Solve 0 = -6*f - 10 - c for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123915545 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, -3\/5, 0.8, 63, 0.2, 12.88, -1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 310\/3. What is the closest to u in -2\/9, 1\/3, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, 357, -0.2.\nAnswer: -1\/4, -0.2, 3, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92447 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300960 divided by -3040.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - -16) + -19)\/((-1)\/(-97)). Which is the third biggest value? (a) -3 (b) p (c) 0.2 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/261777593 and -55\/21.\nAnswer: 785332779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p**4 - 28*p**3 + 43*p**2 - 5*p. Let n(r) = 6*r**4 + 12*r**3 - 22*r**2 + 2*r. Let j(z) = 5*n(z) + 2*w(z). Factor j(s).\nAnswer: 4*s**2*(s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - -13) + 7 - (2 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + (2 - 0). Suppose -140 = -6*z + i*z. Suppose -z*h + 40 = -31*h. What is the least common multiple of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhsrnjnhjrsah. Give prob of sequence aj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150066*u = 150065*u + 2*q + 28, u - q = 26 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000047534538 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 15. Let r(d) = 7*d**2 + 24*d + 36. Let u(z) = -3*z**2 - 12*z - 18. Let n(p) = 4*r(p) + 9*u(p). Is n(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-13)\/p*p)\/p)\/((p**(-1\/9)*p)\/p))**34*(p*p**(1\/4)\/p*p**3)\/((p*p*p**(-3\/7))\/p*(p*(p\/(p\/(p**(-1)*p)))\/p)\/p*p) assuming p is positive.\nAnswer: p**(-118325\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (370\/30)\/((-10)\/(-6))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -8, 84\/25, 1\/3, -3 in descending order.\nAnswer: 84\/25, 1\/3, 2\/9, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*l - 3 + 23, -h - 4*l - 9 = 0. Let y be (-368)\/460 + (-1)\/h*14. Let d be (0*(-2)\/4)\/(-2). Solve 4*k + 5 = -5*u, -y*u = -5*k - d*u - 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*t**2 - 7*t**2 + 1 + 8 wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 8)*(-6)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from {o: 2, n: 6, g: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*(sqrt(19)*3)**2)*-1 + (2 + 3*sqrt(475) + sqrt(475))**2.\nAnswer: 79*sqrt(19) + 7262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 25 = z, -4*z - j + 107 = -6*j. Solve -2*c = -4*t - 22 - 0, 4*t - 4*c + z = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 328436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -27. Let w be (1 + 5)*(-5)\/k. Let h(s) = 2 - s**w - 1 + 4*s**2 - 34*s + 33*s. Determine h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + r**2 + r. Let u be z(-1). Suppose -6 = -u*d - a, -4*a = -d - a + 2. Suppose d*o + 4*t - 8 = 0, -5*o + 0*t - 2*t + 44 = 0. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - m + 15. Let l be i(0). Let o = 524 + -520. Solve o*k = k - l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*c = -7, -c = g + 4*g - 11. Let v(b) = 696*b - 2. Let s be v(g). What is s rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.75563 to 1 dp.\nAnswer: 39.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w*w*w)**(20\/7)\/((w\/(w\/w**0*w))\/w)**44 assuming w is positive.\nAnswer: w**(656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51638254, -51638246, -51638238, -51638230, -51638222, -51638214?\n\"Answer: 8*d - 51638262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67158 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 5256?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 11*l + 10. Let z be a(-7). Let i = z - -46. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983689707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o**2 - 258*o - 51. Let w be c(26). Are w and -17\/110 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0470676 to three dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834319741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*v = 19, -43 = -x + 5*v - 14. Let i = -602.2 + 602. What is the closest to i in 0.1, -1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2*-1)\/(-6))\/((-13440)\/20800*2\/(-36))?\nAnswer: 65\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52421, 52426, 52433, 52442, 52453?\n\"Answer: g**2 + 2*g + 52418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1314793.592+6.44\nAnswer: 1314800.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 5. Let a = 28 - 20. Let z be j(a). Find the second derivative of 10*s - 5*s + 0*s**z - 5*s**3 wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 469138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -6*h - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = 0, g - 279 = -4*m + 150. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22286 and 22259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2568 + -2565. Solve 0 = -3*g + t, g = -2*k + 6*g - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 + 2*t**2 - 2*t**2)*(-274 - 522 - 261 + 116) as i*t**2 + y*t + q*t**3 + x and give q.\nAnswer: -1882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:40 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1456, 7, 5, 6 in ascending order.\nAnswer: -1456, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4 - 4 - -3) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35922, 143983, 324114, 576315, 900586, 1296927, 1765338?\n\"Answer: 36035*h**2 - 44*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*b**2 - 9*b + 9*b)*(87 + 87*b - 87) to h*b + q*b**3 + a + u*b**2 and give q.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 2 + 3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/7746650 and -37\/17042630?\nAnswer: 85213150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10523308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let h(b) = 5*b + 3. Let j(k) = h(k) - 3*s(k). Let t be 2\/(-9) - 32\/18. Let c = 4 + t. Let n(d) = -d**2 - 22*d. Give c*n(i) + 22*j(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 2*w**4 - 10*w**3 + 6*w**2.\nAnswer: 2*w**2*(w - 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-922)\/(-7) + 6\/21.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*y - 142 - 26, 5*y = x + 66. What is the third smallest value in x, 10, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.778783l in millilitres?\nAnswer: 5778.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -955\/6 in -0.4, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 11*l - 4. Let s(c) = -c**2 - 5*c - 2. Let r(b) = 7*s(b) - 3*v(b). Determine r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*(-6 - (-8 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43870085629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 2*y + 1 + 3 - 3.\nAnswer: -13*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/3))**(-2\/53)\/(((x**(-1\/6)*x)\/x)\/((x**1*x)\/x)))\/((x\/(x**1\/x))**(-3\/7)*(x*(x\/(x*x\/x**(-2\/5))*x)\/x)**(-39)) assuming x is positive.\nAnswer: x**(-156433\/11130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n. Let x be 2\/3 + 5*(-2)\/15. Suppose -2*f + 2*o - 8 = -x*o, -5*f + 3*o - 16 = n. Which is the third smallest value? (a) -0.3 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13277, -16, 2, -1 in decreasing order.\nAnswer: 2, 2\/13277, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let i(y) = y. Suppose -2*b + 2*t = -3*b + 13, 0 = b + t - 18. Let l = -28 + b. Let p(j) = -4*j. Let v(z) = l*i(z) + p(z). Calculate v(k(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 5*g**2 - 13*g + 6. Give i(9).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-15) + (-46)\/3. Let p = n + 26. What is the units digit of p\/(-5) + (-14)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1616, 2, -1, -3, -112 in ascending order.\nAnswer: -112, -3, -1, 2, 1616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodoogoooovod. What is prob of sequence ovd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + (6 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31.44552cm?\nAnswer: 314455.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 22*q + 39. Let o be b(30). Suppose 14*v - 543 = o. Calculate the highest common factor of v and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-8 + -35 - -8 - ((-20 - -38) + -16)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7972260*o**2 + 289070*o - 2.\nAnswer: 15944520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 b when three letters picked without replacement from mlmbzbpx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32139343 to the power of 1\/2, to the nearest integer?\nAnswer: 5669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 12*y + 7. Let h be f(12). Suppose 0 = -u - 2*c + 4, -3*u - 3 - h = -5*c. Solve u = -4*z + 8 - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w + 0*w)*(51*w + 60*w - 87*w) - 2*w + 2*w - w**2 - w + w + w**2 - 1 + 5*w**2 + 1.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210 - 20201?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sys when three letters picked without replacement from gsyygysysgsgyg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.9*-5\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 4*z + 4. Suppose -47 = -5*y + 98. What is the remainder when y is divided by w(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 4113*l**5\/5 - 10756*l - 13276. Differentiate s(o) wrt o.\nAnswer: 16452*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -10 + 0*k - 2\/51*k**4 - 16\/51*k**3 + k**2 - 1\/510*k**5. Let s(b) be the second derivative of z(b). Solve s(w) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66589 - 66589 + 26*q + 13*q.\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.03, 10, -199, -0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 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: In base 10, what is 35 + -78?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-56) + (-276)\/483?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 112039908*l + 1046078415387372.\nAnswer: 3*(l + 18673318)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6547895 is divided by 1592.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45709 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 438\/5 + 2. Let c = 91 - g. Let r = -13.51 + 13.21. Sort 1\/7, r, c in descending order.\nAnswer: c, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a**2 - 12*a + 10. Let i(h) = h. Determine z(i(j)).\nAnswer: -10*j**2 - 12*j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 0. Let c = -4 - v. Suppose 5*k = c*k + 1830. What is k 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 3922, 7836, 11748, 15658, 19566?\nAnswer: 23472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - (18 - -4) - -10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-2*m + m + 0*m) + (41*m - 74*m + 41*m)*(2 + 1 - 5) to the form u + t*m and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/((-2)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 - 4*w + 5. Let f be a(5). Suppose f*g = 7*g + 123. What is the third derivative of -8*j**2 - 5*j**2 + g*j**4 - 30*j**4 wrt j?\nAnswer: 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 22, 85, 194, 361, 598, 917, 1330?\n\"Answer: 2*k**3 + 5*k**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -0.09, -2\/17, -2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 532, 2\/5, 2 in increasing order.\nAnswer: 2\/5, 2, 6, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359674.\nAnswer: 2, 7, 23, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -4 - 2 - -1) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9775 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**8\/84 - 4*p**7\/21 + 21*p**6\/5 - 108*p**5\/5 + 9*p**4\/2 + 324*p**3 + 3721*p**2. Factor d(u).\nAnswer: -4*(u - 3)**3*(u + 1)*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 1104*l = -1103*l - 15, -4*q + 5*l - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.368 * -0.09\nAnswer: -0.03312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -916.41888?\nAnswer: -916.41888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 51 + 75 = 0. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (48\/(-6) + 13). Let s be 1*-2*(1 + -2). Solve -4*n = 12, j*n - n = -s*c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.381 - -0.451. Let n = 0.53 + r. Which is the second smallest value? (a) n (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 180228213?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5701832 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:57 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646 - 628 - 651 + 3190*i**2 + 1925.\nAnswer: 3190*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1271224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 717626 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3 - 1. Solve 3*r - r + 4 = -h*f, -4*f - 20 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3172 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(315)*2 - sqrt(315))\/(1*sqrt(324)))\/((sqrt(80) - (sqrt(80) + sqrt(80) + (sqrt(80) - -4*sqrt(80)))) + sqrt(80) + -4*1*sqrt(5)))**2.\nAnswer: 7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c**2 - c + 8. Let v be n(6). Suppose 0 = 7*w - 3*w + 3*a + 2, -2*w - v*a - 2 = 0. Which is bigger: w or 1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 3, a: 3, x: 3, o: 4}. Give prob of picking 2 a and 1 l.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113133200 + 13?\nAnswer: 113133213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -24*l - 22. Calculate the least common multiple of 10 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 39*t**2 - 2*t.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*i**3 + 293 + 21*i - 496 + 259 + 3*i**5 - 2*i**2 wrt i.\nAnswer: 60*i**3 - 306*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28770376 to the power of 1\/2, to the nearest integer?\nAnswer: 5364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519001 is divided by 731?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7149, 6939, 6731, 6525, 6321, 6119?\n\"Answer: p**2 - 213*p + 7361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 8*l**2 - 8*l - 15. Suppose 0 = y - 2*d - 0*d - 11, 2*y - d = 34. Suppose 5*m = -16 - y. Determine u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x**3 - x**3 - x**3)*(2 - 4 + 0 - 3*x) to the form t*x**3 + o + u*x**4 + g*x + p*x**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 4*o - 5*i, 5*o + 148 = 4*i + 15. Which is smaller: -28 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2123 is divided by 726?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 - 120. Solve -5*i + 5*w - j = 0, -4*w = 3*i - 5*w + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 - 5*w + 10. What is g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241275 is divided by 197.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56192220 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/11, -4, -3, 0.5, 0, 676409?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(8 - 175\/22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -96*w + 189*w - 106*w - 7. Give l(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36067085.\nAnswer: 5, 41, 175937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 426?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1001649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36072 by 1503.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*a - 135 + 728 = -691. Put 3, 1, 2, -4, a in increasing order.\nAnswer: a, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3770 - -5200.5. Round d to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 2)*(0*q + 0*q + 2*q) + (-2 + 1 - 1)*(-q + 3 - 3) to c + u*q and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 2, u: 3, y: 1, e: 6}. What is prob of sequence yue?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7\/8, -0.1003, -45\/2?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -152. Let t be -9 - -15 - j\/18. Let w = 3 + -4. What is the smallest value in 4, 11, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-236)\/3)\/((6\/75)\/((-48)\/40)).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -14 - -19 - 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 850 and 3900.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 16*k + 11. Let q be v(-15). Let d(b) = 5 + 2*b**2 + 4*b - 5*b**2 + 4*b**2. Is d(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -9. What is the smallest common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43, -5\/2, -1\/20, 16\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 13 = b, -2*m + 16 = 2*m. Suppose z - 28 - 33 = 0. What is the remainder when z is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 1. Let k be x(-5). Suppose -k*a + 27 = 7. Solve -6*r - 18 = -3*y - 3*r, y + 12 = -a*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3, 0*p - 3*p - s = -14. Suppose 0*d = -4*d, -p*v + 2*d = -210. Suppose -n = 2*n - v. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/137817 and -65\/54?\nAnswer: 826902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1609806, 1609801, 1609796, 1609791, 1609786?\nAnswer: 1609781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/15*(2 - (-64)\/(-28)). Let s = 950\/231 - c. Find the common denominator of s and -25\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6 = -9*k. Let u be k\/15 + -44*(-1)\/10. Solve 0 = 3*o - u*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717 divided by 3.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(5\/8))\/(n**(-1\/3)\/n))**49)**(-14\/5) assuming n is positive.\nAnswer: n**(-14063\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*2 + sqrt(88) - sqrt(88))\/sqrt(2))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198.00000451 - 198. What is m rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9910, 40002, 90276, 160732, 251370, 362190, 493192?\n\"Answer: 10091*v**2 - 181*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -58*a**3 + a. Determine b(1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/8, -2, 25 in descending order.\nAnswer: 25, 1\/8, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 475, 706, 683, 406?\n\"Answer: -127*p**2 + 612*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1476 + 1543. Is u <= 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - z**5 + (2*z**3 + z**3 - 2*z**3)*(-2*z**2 - 3*z**2 + 4*z**2) - 2*z**5 - 3 + 3 + (5*z - 5*z + 8*z**5)*(-2 - 1 + 5).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12234 - -19303. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f - 46*f + 3306 = -34*f. Put -41, -1, f in increasing order.\nAnswer: -41, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -9*l**3\/2 - 2*l**2 + 4*l - 3. Let n(m) be the first derivative of i(m). Is n(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.57 + -0.79. Let k = -0.07 + t. Let w = k - -2. What is w rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 9*z - 57. Determine r(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**0*h))**(15\/2)\/(h**(-1\/2)*h*(h**(1\/4)\/h*h)\/h*h) assuming h is positive.\nAnswer: h**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 h when three letters picked without replacement from {x: 1, s: 1, h: 3, e: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*m = -136*m + 217 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 91*i - 54. Calculate v(23).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= -10109\/1328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 8 (c) -0.051 (d) -3\/5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374398.\nAnswer: 2, 131, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.67 in -163, -4, -2, -116?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -8697?\nAnswer: 86a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6889360 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, 3\/22, -24?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.5? (a) -0.5 (b) -44\/3 (c) -4\/7 (d) 7\/8 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257056*d - 510845*d + 253782*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*(-290)\/140. Let a = d - 5\/7. Factor 0 - 4\/3*r - a*r**2.\nAnswer: -2*r*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -502204510?\nAnswer: -502204511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.05. Let c = o + -0.07918. What is c rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 2*g**2 - 2*g + 3. Let m = 8 - 11. Let q be o(m). Suppose -b = 4*d - 9, 15 = -7*b + 2*b. Solve -4*t + 20 = -5*w, d*w = -q*t - 5*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -148, -304, -520, -802, -1156?\n\"Answer: -s**3 - 21*s**2 - 32*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -754, -1535, -2316, -3097, -3878?\n\"Answer: -781*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -77*p**3 + 925*p**2 - 51*p + 467. What is y(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -40. Let t(m) = 9*m**2 - 2. Let n(i) = -2*i**2 + 1. Let x(k) = u*t(k) - 2*n(k). Let d(a) = -101*a**2. What is d(x(s))?\nAnswer: -2525*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4400745.2 to the nearest one thousand.\nAnswer: -4401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 20*m**3 - 30*m**2 - 20*m + 25.\nAnswer: 5*(m - 1)**2*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/733230 and -101\/36?\nAnswer: 1466460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {c: 2, v: 17}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 101128\nAnswer: 1\/25282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 + 56622*i + 1074735 = 0. Calculate i.\nAnswer: -18855, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12895 divided by 2579.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 39 = -57. Calculate the remainder when 45 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181223*f**3 - 2255*f**2 - 52139*f**3 + 2255*f**2.\nAnswer: 129084*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 6*x - 14*x. Let k = 25 + x. Let u be k\/((5 - 3)\/(-1440)). What is u rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1072 - 208?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 1585 = -17*i - 1501 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6 + (90\/(-585) - (-599)\/(-78))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-3 + sqrt(1088) + -5)*-1*-5.\nAnswer: -80*sqrt(17) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 246 and -3.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 9) to base 7.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:54 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*j - 3*j. Let a be 1 + (5 - -1)\/j. Suppose 3*i = -h + 37, h - 33 = -a*i + 15. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1114*l + 1115*l - 6 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-140)\/(-15))\/(1\/3). Suppose -3*j + 5*p = 32, 5*j - 3*j - 5*p + x = 0. Sort 0.2, j, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1592280555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -691, -1697, -2707, -3721, -4739, -5761, -6787?\nAnswer: -7817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdz when three letters picked without replacement from {d: 10, m: 6, z: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22531*q - 22518*q + 45030*q.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8975 + 0.0435. What is i rounded to two decimal places?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7) + (-392)\/5488?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (7 - (-7 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/7 - 1058*i**3\/7 + 51662*i**2\/7 + 1058*i\/7 - 7380 = 0.\nAnswer: -574, -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0 + 16 = 0. Let r be (-1)\/(-3 + (-13)\/g). Let j(y) = -y**3 - 5*y**2 - 5*y + 5. Calculate the remainder when 17 is divided by j(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(108) - sqrt(108)*3) + sqrt(75) + -2 + sqrt(75)))**2 + (4 + -2*sqrt(432) - (2 + sqrt(12) + 4)**2).\nAnswer: 152*sqrt(3) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnncnnnenjje. What is prob of picking 2 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 4*k + 25*l - 678, -5*l = -4*k + 699. Does 38 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -a - 3*x, -3*a - 4*x = 6. Let v(h) be the third derivative of 1\/24*h**4 + 0 + 5\/6*h**3 + 0*h - h**2. Give v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1*5\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emcw when four letters picked without replacement from eewwcccmc.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -16, 13 in descending order.\nAnswer: 13, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 16 = 3*m. Let p(w) = -w**3 - 4*w**2 + 3*w + 2. Give p(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**2*q*y - 178*m**2*y**2 + 6*m*q*y - 2*q*y - q - 2*y**2 wrt m?\nAnswer: 6*q*y - 356*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10333 - -131?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259 - 264 + 32*r + 15*r)*(2*r - 4*r + 4*r + (-2*r + 0*r + r)*(2 - 4 + 3)).\nAnswer: 47*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 5*(2*sqrt(117) - sqrt(117)))\/(2*sqrt(36)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nta when three letters picked without replacement from {c: 3, k: 1, t: 2, a: 1, n: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*n - 2, 2*h = -2*n + n + 1. Let s = -101\/238 + -1\/238. Do h and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25205.69164 to the nearest 10.\nAnswer: -25210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 667256 = -5*v + 9*v, -3*r + 834064 = 5*v. Suppose 66*o - 35*o = v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15)\/(1\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 27) + (-1 - (1 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, c: 2, b: 1, t: 3, r: 1, x: 2}. What is prob of picking 2 x and 1 y?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 - 28 = 42*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -172731\/23 (b) 1 (c) -1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579360275?\nAnswer: 5, 13, 1782647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 4?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 26. Let v = 9.7 + s. Is 0.4 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121441.\nAnswer: 121441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -3\/7, -1\/2, -873876 in increasing order.\nAnswer: -873876, -1\/2, -3\/7, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 + -0.0556. Let p = -0.25 - g. Round p to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2584 and 133271738?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 1111*q + 99398. What is r(-219)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54390 and 35742.\nAnswer: 1250970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:16 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/7 (b) 0.5 (c) -3 (d) 1219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u = -297*u + 2695. Sort 7, -2, 5, u, -3 in decreasing order.\nAnswer: u, 7, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 166 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 7. Let r(k) = 3 - 1 - 5 + 3*k - 3. Let w = 11 - 6. Let i(s) = w*r(s) + 4*z(s). Give i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/215 and 1\/473?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 5*n**3 + n**3)*(10 + 13*n - 10) + 0*n**4 - 2*n**4 + 3*n**4.\nAnswer: 66*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 379.77709 to 1 dp.\nAnswer: 379.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 15 = 0. Suppose -68 = -9*r + x*r. Calculate the highest common divisor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skkkkkkskss. What is prob of sequence ksss?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32378 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 5*x - 5*x. Let k be (-8)\/(-2) - (3 - 1). Let l(v) = -12 + 5*v**k + 12. Give t(l(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*b - 65*b + 17*b)*(-b + 2*b + b) - 3*b**2 + 6 - 5 + 2*b**2.\nAnswer: -151*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b. Let y(x) = 18500*x**2. What is y(k(s))?\nAnswer: 906500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/16 and -73\/4561112.\nAnswer: 9122224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 17. Let m = v + -4. What is the closest to -1 in -1, m, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m - 74*m + 26 = -k, m = 2*k + 2 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 20. Let q(p) = 3*p - 2*p + 3 + p - 6*p. Let n(y) be the first derivative of -3*y**2\/2 + 2*y + 1. What is h*n(z) - 4*q(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 396. Suppose -p = -4*f - 3*h, -2*h - 52 = -0*f - 2*f. Suppose f = 4*c + c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25055557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from ssssswljosssssssssss.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z - 98. Determine n(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 6, r: 3, a: 6, g: 1}. Give prob of sequence ar.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18270\/294 - 50 - (13 + 0).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292185 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16969574 and 1108.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15403871 and -0.1?\nAnswer: 15403870.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p - 1835316 = 20*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13569 less than -32799?\nAnswer: -46368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958060489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 81. Which is the biggest value? (a) -3\/5 (b) 13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/30245 = 4\/773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 151 = -309. Let i = r + 378. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -10, 32, 195?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/(-15) - 2)\/(2\/10). Let p be 2\/a - 166*1\/(-6). Suppose 2*l = -3*l + 70. Calculate the highest common divisor of p and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302805253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12360 divided by -12360\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + -24 - -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 52.7. Which is the nearest to -0.5? (a) -0.03 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 6*k - 8. Let r be o(-6). Let v(j) = -5*j - 2 - 8 + 13*j - j + j**2. Determine v(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -286, -247, -146, 47, 362, 829, 1478?\n\"Answer: 5*v**3 + v**2 + v - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-two thirds of a day?\nAnswer: 24960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Let n = -9200 + 9220. Suppose -v = -4*v - 15, 5*x - 35 = 5*v. Solve 14 = -r*m - w + 4*w, 0 = -4*m - x*w - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*c**5 + 13*c**5 - 17*c**5 + (-2*c**5 + 4*c**5 + 0*c**5)*(-1 + 4 - 1) + 3*c**5 - 5*c**5 - 9*c**5 + 8*c**5 + 5 - 5.\nAnswer: -23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 14*j + 12. Let q be d(13). Let x be (0 - 4) + (3 - q). Suppose x = 4*k - 73 - 99. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -487.8152?\nAnswer: 494.8152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:12 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.093152 + -60.05. Let c = -315.043 + 315. Let u = c + y. What is u rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -16\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224))\/sqrt(4) + (sqrt(168)\/sqrt(3) + sqrt(56))*-5 + sqrt(56))\/(((sqrt(8) - 3*(sqrt(16)\/sqrt(2) + sqrt(8))) + sqrt(16)\/(sqrt(2)*2))*1).\nAnswer: 14*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171.6 - -14.6. Let g = 152 + v. Which is the second biggest value? (a) 2\/29 (b) g (c) -1\/2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62194, -124551, -186908, -249265, -311622, -373979?\n\"Answer: -62357*i + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose -k - 5*l = -2*k + 33, a*l = -12. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4400*j. Let g(n) be the first derivative of -n**2 - 4502. Calculate g(c(k)).\nAnswer: 8800*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1229158395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 2 - 9)*(90*t - 90*t - 18*t**2).\nAnswer: -756*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0)\/(18\/(-144)). Let q(n) = -n**3 - 8*n**2 - 2*n - 10. Let j be q(d). Suppose -j*z = -0*z - 102. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 18*p - 15. What is the tens digit of i(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 765159.4 kilometers?\nAnswer: 76515940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 1\/2, 3, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x**2 + 12*x - 13. Let q(c) = 7*c**2 + 6*c - 6. Let f(i) = 6*d(i) - 13*q(i). What is f(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 59 - 206 + 86 + 58 - 4*z. Let d(n) = n**2 - 2*n - 1. What is 5*d(j) - 2*v(j)?\nAnswer: 3*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10867.\nAnswer: 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*n*t**3 - 122*d**3*n*t**2 + d**3 - 3*d**2*n*t**2 - 207*d**2*t**3 - d**2 - d - 3*n*t wrt d.\nAnswer: 30*n*t**3 - 732*n*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.344 rounded to the nearest integer?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-613320)\/27438 + (-18)\/(-51).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569936511?\nAnswer: 3, 63326279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2764155 and 1524.\nAnswer: 11056620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 2, f: 3, o: 4}. Give prob of sequence ffs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 n when four letters picked without replacement from {o: 5, l: 4, n: 4, j: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 - 16*k**3 - 29*k**3.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1936 and -2.\nAnswer: -3872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**3 + 2*g**2 - 5*g - 4. Let z(w) = -w**2 + 7*w - 9. Suppose -5*a + 2*y + 38 = 0, -y - y - 8 = 0. Let p be z(a). Is v(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - -23434?\nAnswer: 23541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 162058*j**2 - 33*j + 189. Let b be i(7). What is b rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4 - 10. Find the second derivative of 4*s**3 - 15*s + 4*s - y*s**3 - s**3 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310312303110 (base 4) to base 7\nAnswer: 225526242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 + (-4 - -6). Let d(b) be the second derivative of -1\/12*b**4 + l*b**2 + 0*b**3 + 0 - 3*b. What is the first derivative of d(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 - 6*o - 6. Let u be c(-7). Let p = u - -15. Suppose -7*m = -p*m - 135. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 314, 316, 318?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 49473a6?\nAnswer: 4947393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53be (base 16) to base 15.\nAnswer: -6543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhwwwnwwwnnnhnnhn. Give prob of sequence nhhn.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from wolhhwol?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 51\/25, -0.29, 2 in descending order.\nAnswer: 51\/25, 2, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11)\/t**(-2)*t**5\/(t\/((t\/t**(-4\/9))\/t)))**45)**27 assuming t is positive.\nAnswer: t**(-5535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11993 + 119843\/10. What is the common denominator of 11\/3308 and f?\nAnswer: 16540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 1, c: 5, b: 1}. What is prob of sequence wcc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 1095 - 1845. Suppose -r*f = -95*f - 290. What is the remainder when f is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 - -3) - -1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 22*r + 33. Let t be n(-26). Let k = -17295\/8 + t. Find the common denominator of 47\/11 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 7*n = -8*n + 208. Solve 37 = -n*w - 41 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -3 - -1 - 0. Solve -3*n - 12 = 2*k, n - 3*n = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 35*q**2 - 85*q + 667. Let f be k(33). Calculate the highest common factor of f and 6980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14580 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (7 + -3 - -78)\/(2\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 4, l: 2, d: 4}. What is prob of sequence liie?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3366 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837*v - 1307*v - 2227*v.\nAnswer: -4371*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154946 less than 154945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 0 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 22*s = 14*s + 103, -4*s - 5 = -11726*h + 11730*h + 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 3830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4174022, 4174027, 4174042, 4174073, 4174126, 4174207, 4174322, 4174477?\n\"Answer: q**3 - q**2 + q + 4174021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468 divided by -186952?\nAnswer: 367\/46738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ullk when four letters picked without replacement from {c: 3, u: 1, k: 4, l: 2, h: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:17 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.512798 months to centuries.\nAnswer: 0.011260665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8406 - 8405.6. Which is the closest to 3\/5? (a) -0.4 (b) f (c) -1 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 148 and 150 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 3, q: 1}. Give prob of picking 2 y and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/31)\/n)\/n)**36*(n*(n\/(n**(-2\/23)*n))\/n*n)**(-14) assuming n is positive.\nAnswer: n**(-61358\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:05 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-10))\/(90\/75)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810661932*m**2 + 8*m**3 + 810661932*m**2.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1 - 4*v**2 + v**3 + 3*v**3 - v**3 + 6*v - 4*v**3. Let u be l(-5). Let k = 1746.4 + -1746. Which is the biggest value? (a) k (b) 0.08 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93353, 186692, 280031, 373370?\n\"Answer: 93339*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19))**2 + sqrt(19) + 2 + -2 + sqrt(57)\/sqrt(3).\nAnswer: -2*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {c: 4, w: 1, h: 2, z: 4, n: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*h - 19690 = 8148 + 46234 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + 2*m - 2*m + 2)*(127*m - 80*m + 102*m + 1)*(-1 - 6 + 1) to z + d*m + h*m**2 + g*m**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + -1 + (8 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-30)*(246\/(-1722))\/((-2)\/70)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 - 11*a + 16. Let f = 6 - -2. Let v be i(f). Suppose -6*s - 134 + v = 0. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 87*j**2 - 943*j + 62. Give h(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2666374 - -2?\nAnswer: 2666376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xug when three letters picked without replacement from {u: 5, g: 1, x: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/47*(-24)\/312.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaaecchaeeah. Give prob of sequence ce.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 106*t**3 + 7*t**2\/2 + 3*t - 6. Is f(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + 17. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -29*q**3 + q + 3. Let g be z(-3). Suppose 0 = -k + 5*t - 506, 2*k - 2074 = 6*k + 5*t. Let v = k + g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16368 divided by 16?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 34*i + 156 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -112, 21.37, -21, 1\/6 in descending order.\nAnswer: 21.37, 1\/4, 1\/6, -21, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 4. Let o be n(0). Let a(u) = u**2 - 3*u + 3. Let r be a(2). Suppose -r = -4*d + 3*q, 5*q - 2*q - 7 = -o*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311\/24 + -13\/8. Let n = r - 188\/15. Suppose -2*p - 2*p = 0, 4*p + 2 = -j. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - 5 - (-3 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/8)\/(j*j*j**(2\/7))*(j*j**(3\/16))\/(j**32\/j) assuming j is positive.\nAnswer: j**(-3637\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1685 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11408017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let m(w) = y - 2*w**2 + w**2 - 3*w + 0*w. What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-38)*(-1062)\/885.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 22. Let k(r) = -636*r**2 - 2*r**3 - 676*r**2 - 3 + 1315*r**2 + 3*r. Let o(a) = -4*a**3 + 5*a**2 + 6*a - 5. Determine l*o(m) + 5*k(m).\nAnswer: 2*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from qiqassqsraqhsa.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43439 or -43440?\nAnswer: -43439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 5261120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8)**(-7\/5)\/(g**(-4))**(-38) assuming g is positive.\nAnswer: g**(-816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*l + 154745 - 166385 = 0 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25*i. Let h(z) = -2682*z**2. What is u(h(v))?\nAnswer: -67050*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -62?\nAnswer: 19\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/2 of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26.643343602715 and -3.\nAnswer: -29.643343602715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -74. Let d = c - 29. Calculate the greatest common factor of d and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 531511.37 + 0\nAnswer: 531511.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959258, 3837049, 8633380, 15348263, 23981710, 34533733?\nAnswer: 47004344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m**5\/9 - 60154*m**4\/9 - 16030*m**3 + 252626*m**2\/9 + 481064*m\/9 + 48104\/3 = 0. Calculate m.\nAnswer: -6013, -3, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -387, -587, -759, -903?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a factor of 4126224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-8)\/12*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, y: 3, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 1 + 0 + 2 to the form k + z*y and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = -0*p + 5*a, p + 26 = 5*a. Let i(m) = -m**3 + 2*m**2 + m. Let c be i(2). Let r(x) = 5 - c*x**3 + x**3 - 4. Calculate r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 224*c**4 - 400*c**3 - 98*c**2 + 4*c = 0. Calculate c.\nAnswer: -1\/4, 0, 1\/28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 20400*x**2 - 1506884*x - 3095400.\nAnswer: -4*(x - 5025)*(x - 77)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c - 510*c**2 - 19*c + 526*c**2 - 2 as j + m*c**2 + r*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, -3, -56336, -26.\nAnswer: -56336, -26, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 4*b - 5*b - 225 - 16*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-4)\/2)*-20. Suppose -12 = -4*u - 4*n, 2*u = -n + 2*n - 3. Let y = u - o. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 1674\nAnswer: 133.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, b: 5}. Give prob of picking 2 x.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3908 divided by -2.\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -531*v - 1809. What is the thousands digit of x(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, -9, 245 in descending order.\nAnswer: 245, 22, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -245.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t + 380. Let q(c) = 3*c**2. Let r be q(6). Let s = t + r. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.375 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 0.03 (b) -1\/2 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -455, -681, -909, -1139, -1371, -1605?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1390 divide 1867441370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 1717?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*o**2 - 652*o**2 + 1051*o - 250 + 249.\nAnswer: -2*o**2 + 1051*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.5. Let w = -1494\/11 - -136. Suppose -2*h = -h + 5*a - 5, -2 = -a. What is the smallest value in t, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 226*x + 721. Calculate p(79).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 10658 + 14944. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/7, -0.3, 2\/59 in descending order.\nAnswer: 3, 4\/7, 2\/59, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by 1.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10) + 1926\/(-270). Let l = 7 + t. Let w = 0.25 - -0.05. What is the nearest to 0 in l, 1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-79)\/(-1))\/((-2)\/(1 + -41)).\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44516 is divided by 44499?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 7*l - 97*l - 3 - 2*l**2 - 33*l as k*l**2 + s + d*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0 = 20, n - 13 = -2*g. Suppose -6*b = -4*a - 2*b + 20, 5*b = n*a - 19. Solve v - a = -0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:18 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 163274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 2*h - 50. Suppose 21*l + 5*i = 26*l + 40, 2*l + 3*i = -16. Let f be u(l). Put -75, f, 1, 2 in increasing order.\nAnswer: -75, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 - r**3 + 3*r**3 + (-r**2 - 2*r**2 + r**2)*(-3*r - r + r) + 68 - 68 - 8*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92132 and 242537490.\nAnswer: 485074980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(353*d**2 + 208*d**3 - 17*d**3 - 352*d**2).\nAnswer: -573*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 - 20*f + 1. Let n(u) = -13*u**2 + 39*u - 1. Let t(m) = 11*b(m) + 6*n(m). Let x be t(15). What are the prime factors of 5\/(x\/(-12)) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 3. Let q be 2\/12 - (-15)\/18. Let s be 4*q\/2 + -7. Let j = 1 + s. Calculate y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 9:34 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(4400) + -1) + ((sqrt(4400) + 1)*3 - sqrt(4400)) + -1)**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(-4*(-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 2 + 2*q**3 - 2*q**2 + 4*q**4 - 5*q**4 as w*q**3 + z*q**4 + f + k*q**2 + y*q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-288)\/(-80)*((-80)\/(-3) + 0). Let i = -89 + w. What is the greatest common factor of 84 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2 - r - 1. Let a be q(0). Is a + 13\/(78\/2952) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -2, 4 in ascending order.\nAnswer: -14, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s - 37705 = -4*w, 0 = -3*w + 5*s + 28276. Let m = 1420 + w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3449841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + -1) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7902?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + 4*n**2 - 2*n**2)*((-6 + 0 + 4)*(-n + n - n) + (-2 + 0 + 0)*(6 - 6 + 23*n) + 6*n - 3*n - 2*n) to w*n**3 + m*n + v*n**2 + h and give w.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6210292 is divided by 657?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 10*l + 11. Let c be y(9). Let t = 2 + -2. Is 18 a factor of 1\/(c\/86 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-220))\/((-3)\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Let m = 954 + -959. What is the third biggest value in j, m, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34757 - -0.24757. Which is the third biggest value? (a) 8 (b) z (c) 2\/7 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3 - 87*s**2 + 336*s - 332 = 0 for s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 1.94. Let v = 552.514 - 553. Let o = v + k. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001765 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -43*f + 4724. Calculate n(54).\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 11, t: 6}. What is prob of sequence kt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*x = -91046 + 13918, -308542 = -4*c - 2*x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-2\/3)))\/x*x)\/x)\/x**0*x**(-9)\/x**(-2\/19) assuming x is positive.\nAnswer: x**(-602\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342105 by -126.\nAnswer: 114035\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004603 to the power of 1\/2, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-7 - (-2 + 2)) + 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - 52632*n**3 - 5945*n**3 + 12*n**2.\nAnswer: -58577*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38689062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*sqrt(3)*-3 + 0 + sqrt(27))**2 - (-3*sqrt(432))\/((sqrt(9) - sqrt(576)*3) + sqrt(9)).\nAnswer: -6*sqrt(3)\/11 + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 2*q - 5\/3.\nAnswer: -(q - 5)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22921 - 22822.49. Let y = 95 - r. Round y to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/(-8) - -2 - 8\/32. Let q be (2 - 6\/h) + -6. Let s be -5*(4\/(-6) + 1). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -35. Suppose 4*j = 5*b + 573, f*b = b + 3*j - 225. What is the hundreds digit of 0 + (10\/(-5) - b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.0713 + -2.092622. Round g to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42759.5 to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 496.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**4\/4 + 2*o**3 - o**2\/2 + o + 15. Give k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/4)\/((-7212)\/(-96)). Let b be 2*((-15)\/6)\/5. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 283*o**2 - 5*o - 5. Let w be a(3). Let d = w - 1799. List the prime factors of d.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y**(-5))**(-3\/11)\/((y*y*y*y*(y*y**7)\/y*y*y*y)\/(y*(y\/y**(-1))\/y)*y\/y**6*y*y**(-1\/3)) assuming y is positive.\nAnswer: y**(-841\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25536443 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u = 5*c + 102*u + 25, -15 = 3*c + u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * -2.8.\nAnswer: 151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-105)\/(-12). Suppose 3*a - 3*c = -18, -5*c + c + 34 = -5*a. Let f be 5\/a - g\/(-2). Solve f*l + 2 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-12))\/((-290)\/93090)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*0\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 960778.9 millilitres?\nAnswer: 960.7789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -187 and -0.6.\nAnswer: 112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*o - 2*j, j = 3*o + 5*j + 62. What is the units digit of 6\/21 - 52\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Let w be s - -3 - 2\/2. Let c(t) = 2*t**2 - 3*t + 3. Give c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 281400 = 58*q. What is q rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224994 is divided by 6774?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 + 2*z - 7. Let a be j(5). Suppose -a*n + 1 = 5*r - 4, -5*n + 25 = 0. What is the lowest common multiple of (0 + r)\/((-4)\/6) and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 5948*x + 17820. Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:13 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16169877.\nAnswer: 3, 383, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0344491cm in meters?\nAnswer: 0.000344491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-15)*k)*k\/(k\/(k**(-26)*k*k)))\/((k**(2\/69)\/k)\/k*k*k\/(k*k**(-1\/15)\/k)) assuming k is positive.\nAnswer: k**(-1046\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700324 to the power of 1\/2, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4631, 18508, 41637, 74018, 115651, 166536?\nAnswer: 226673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -4\/3, 11, -0.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003803 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -17. Let t be (-3)\/w*(5 + 0). Let s = -268.2 + 268. What is the closest to 1\/3 in t, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(9\/2)\/(h**(-5\/3)\/h)*h**(-2\/5)*h*((h**(4\/3)*h)\/h)\/h assuming h is positive.\nAnswer: h**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 121*d**2 - 5*d + 198. Let t(w) = -60*w**2 + 3*w - 100. Let a(l) = 3*m(l) + 5*t(l). Differentiate a(u) with respect to u.\nAnswer: 126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:19 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/13 - -3\/52. Let f(n) be the first derivative of -t*n**4 + 0*n**2 + n**3 - 2 + 0*n. What is the third derivative of f(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154761.27 months to millennia.\nAnswer: 12.8967725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 20, 33, 48, 65, 84?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 361, 1095, 1663, 1525, 141, -3029, -8525?\n\"Answer: -90*q**3 + 457*q**2 - 7*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 14 - 10) + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = 5889*l - 2948*l - 2947*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/((-18)\/(-1872)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5408*c + 535*c - 14*c + (-3 + 4 + 0)*(-4*c + 7*c - 4*c) + (-1 - 2 + 1)*(c - 2 + 2) - 5*c - c + 5*c - 3*c - 2*c + 4*c to the form w + k*c and give k.\nAnswer: -4892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 78\/650*(-17 + -9 + 24)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, y: 2}. Give prob of sequence se.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-26) + (-1 - (-4725)\/39). Calculate the greatest common factor of 30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.55 and 1.6.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(1\/3)\/q))**(-34))**(2\/23)*(q*q**(-2)*q)**(-21)\/(q**(-2))**(-29\/2) assuming q is positive.\nAnswer: q**(-2341\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**3 - 29*p**2 + p + 232. Let r(d) = -3*d**3 + 14*d**2 - 117. Let l(t) = 2*b(t) + 5*r(t). What is the remainder when 55 is divided by l(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 28, -5 in ascending order.\nAnswer: -5, 3\/7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 6*t - 2*t)*(0*t + t + 0*t) + (3 - 3 - 2*t)*(-4 + 4 - 11*t).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = -0*c + 3*z, -3*c + 2*z + 4 = 0. What is the closest to -0.1 in 3\/5, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 33270397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56154412 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -155095330, -155095336, -155095342, -155095348, -155095354?\n\"Answer: -6*k - 155095324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5947750?\nAnswer: 2, 5, 37, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uulu when four letters picked without replacement from lqdcquqqcquludqcd.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -26*y - 39. Let n(i) = i + 1. Suppose 1 = 59*k - 58. Calculate k*v(o) + 39*n(o).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*q - 67*q**3 + 59*q + 4*q**2 + 7*q**2 - 28*q to the form u*q**3 + m + o*q**2 + b*q and give u.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g. Let r = 4 - g. Factor 0 + v**2 - 2 + 1 + v**2 - v**r.\nAnswer: -(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -344 (b) 3 (c) -3\/10 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 3)\/(2 + 0). Suppose -5*q - 3*k = -15, -3*q - k + f + 9 = 0. What are the prime factors of (-2)\/q*(-405)\/18?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -177. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, -77 in decreasing order.\nAnswer: 0, -16, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 322963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47030*w**5 - 45617*w?\nAnswer: 940600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(2 + sqrt(44)*-2).\nAnswer: -7 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 694?\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541 - 541 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 1\/4*n**4 - 1\/20*n**5 - 6*n + 0 - 2*n**2 - 1\/2*n**3. Determine b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 5*d - 19. Let k be a(9). Let h = -14 + k. Solve -l - 4*f + 15 = 3, -h*l + 14 = f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*p - 14 = -4*g, -5*g + 13 = p. Suppose 0 = 4*c - g*c - 34. Let i(s) = -4*s**3 + 10. Let b(r) = -11*r**3 + 29. Calculate c*i(l) - 6*b(l).\nAnswer: -2*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = -2. Suppose -o*m - 2*n = 3*n - 50, 2*n - 11 = -m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 26*l - 21. Let d be i(25). Let m(j) = j**2 + 3*j - 13. Let g be m(d). Calculate the greatest common divisor of g and 300.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195*h**3 - 2*h**2 - 40 - 85*h + 83*h + 37 to the form a*h**3 + w*h**2 + g*h + s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12442 - -39158. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**5\/20 + m**4\/3 - m**3\/2 - 5*m**2\/2 + 5*m. Calculate n(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 439, 565, 751, 1027, 1423, 1969, 2695?\n\"Answer: 5*r**3 + 91*r + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/7 + (-12)\/84. Let c(w) = 3*w**2 + 2*w - 1. Let a be c(l). Let i(p) = -2*p - 4*p - p + a*p. Let v(n) = 5*n**2. Determine i(v(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:52 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2))\/(a\/(a*a*a*a**(1\/2))*a))**(-10)*(a**(1\/3)\/(a\/(((a**2*a)\/a*a)\/a)))\/(a*a**(-2)*a*a\/a**(-6)) assuming a is positive.\nAnswer: a**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125847577, -1125847578, -1125847579, -1125847580, -1125847581?\nAnswer: -1125847582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*p**6 + 13*p**4 - 45*p**2 - 3*p wrt p.\nAnswer: -1800*p**3 + 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - f - 2*x, -4*x + 40 = 4*f. Suppose -m - 2*m - f = 0. Is (-62)\/3*3\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -73. Let n = 38 - i. Suppose 0 = 3*c + c - 20, -4*c + 22 = j. What is the third biggest value in n, 8, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -1223*o + 1235*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 171250\/11608 + (-12)\/(-8). Let l = 4\/1451 - x. What is the common denominator of l and 90\/55 + 3\/1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1960 = -113*z + 111*z. Suppose 3*t + 2*n - 561 - z = 0, t + 5*n = 518. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in -22, 0.1, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3691, -7370, -11049?\nAnswer: -14728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.331 less than or equal to -5023.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 23\nAnswer: -21\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -685.\nAnswer: 684.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) - (3 + sqrt(567) + -1 + sqrt(567) - sqrt(567)))) + (sqrt(567) - sqrt(567)*1)*-6 + 4)**2*-4.\nAnswer: -2412 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - ((4 - 2) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/3))\/f)**48\/(f**(-7)\/f*f*f**(-1\/2)) assuming f is positive.\nAnswer: f**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 5\/(-15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -504, -1166, -2412, -4434, -7424, -11574?\nAnswer: -17076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 + (-10)\/(-30). Is 3\/314 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.84 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) - (-340)\/153. Let m(g) = 4*g**2 + 4*g - 10. Let s be m(b). Which is greater: s or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*a - 88*a**2 - 36*a**2 - 14*a - 70*a**2 - 2 with respect to a.\nAnswer: -388*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.201 and -0.1?\nAnswer: 9.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12)*6\/(-15))\/(273\/315)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**7\/1260 + w**6\/180 - w**4\/3 - 10*w. Let l(y) be the third derivative of o(y). Solve l(g) = 0 for g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 49*c - 454. Let m be d(10). Solve 18 = m*i - 126 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46586045 divided by 55\nAnswer: -847019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -0.3, 4487.92, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 231\/6 - (-2)\/4. Suppose 0 = p*w - 38*w + 815. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-36)*x**(-29))**(2\/31) assuming x is positive.\nAnswer: x**(-130\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108429*j + 58*j**2 - 7*j**5 + 108429*j + (j + j**4 - j)*(0 - 4 + 3)*(2*j - 4*j + 4*j).\nAnswer: -9*j**5 + 58*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13392 - 5063. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 3:54 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 217*d**2 - 11*d - 37. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -10, 4375, 79 in ascending order.\nAnswer: -10, 12, 79, 4375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599, -177, -1457, -3229, -5481, -8201?\nAnswer: -11377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/9 and -5 + (-314)\/(-30) - 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.52 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7979 + -7617. What is the greatest common divisor of j and 32218?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(1\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:54 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.1 + 81.97. Let u = j - 2.87. Which is the closest to -2\/7? (a) -5 (b) 4 (c) 2\/7 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z**2 + 4*z - 1 - 5*z**2 + z + 4*z**2. Let m be g(4). Suppose -m*h + h = 5*k - 16, -4*h + 18 = 3*k. Solve -2*t - 10 = h*d, d = 5*t + 4*d + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873913 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70041972563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4263.673 * 44.\nAnswer: -187601.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 2 + 1)*(2 + 1 + 0)*(-3 - 1 + 6)*(1 + 0 + 0) - 5 + 2 - 1)*(-1 + 1 + u)*(-5 - 2 - 11) as k + g*u and give g.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 2. Let i be 5 + (-4)\/8*4. Solve 0*k = -v*k - i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 199\/7?\nAnswer: 199\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(f\/(f\/(f*f**(-5\/7))))))*f*f)**19 assuming f is positive.\nAnswer: f**(494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 4:04 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 74115?\nAnswer: 592920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, 17, 14, 4 in descending order.\nAnswer: 17, 14, 4, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*k - 4, 4*p - k + 4*k = 17. Let f be (-4)\/14 - (-1692)\/42. Suppose 4*h - 4 = 0, 2*h - f = -0*n - p*n. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.3. Let d = -1.5 + -2.5. What is the closest to d in 0, 0.1, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705031039?\nAnswer: 41, 3109, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -52. Suppose -h - a = -29. Solve -l = -2*b - 2*l - h, l = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/63 and -52\/99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3339\/757 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -d13a (base 14) to base 8\nAnswer: -106120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 - -1)\/(-5 - -4). Let b be 152\/36 + 2\/(-9). Solve 0 = 3*x + x + 4, w*o = -b*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.045 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 43*o - 256. Let v be i(-36). Put -1, -0.07, 0.2, v in ascending order.\nAnswer: v, -1, -0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - 59. Suppose -2*k = 3*q - 34, -5*q = -3*k - 1 + x. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75454 and 13051?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*u - 23*u = 388. Solve -a - o + 14 = 2*o, 0 = -5*a + u*o - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(80)*-4 - sqrt(80)) + (sqrt(80) + sqrt(80)*-4 + -3 + sqrt(80) - sqrt(80)) + -5)**2.\nAnswer: 2688*sqrt(5) + 62864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -57*x - 54. Let b be k(-8). Let j = b - 392. Calculate the remainder when 28 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(4*(sqrt(108) + 1) + sqrt(108) - sqrt(108) - 6*sqrt(108)*2)**2.\nAnswer: -13856 + 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1520221?\nAnswer: 1520230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 798 = -207*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**5 + d**5 - d**5)*(2 + 1 - 2) - 2*d**5 + d**5 + 2*d**5 - d**5 - d**2 + d**2 + (-2*d**3 - d**3 + d**3)*(6*d**2 - 3*d**2 + 7*d**2).\nAnswer: -19*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) + 22\/8. Suppose 5 + a = 2*r. Let t = r - 4. Solve t = -5*z + 4*i - 8, -5*z + 2*i = 6 + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.3, 2, -2\/17, -293?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*1*sqrt(66) + sqrt(66) - (sqrt(66) + -2*sqrt(66))*1)\/((sqrt(120)\/(sqrt(8)\/sqrt(4)))\/sqrt(10)) + -1.\nAnswer: -6 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2010499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-2)\/(5 + -3). Let d(p) = -p**2 - 3*p + 4. Calculate d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 114 = 3*p - 83, p = 3*c - 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*j)*(61*j**3 + 7*j**3 + 9*j**3) + 0*j**2 + 2*j**4 + 0*j**2 + (0 + 2*j**4 + 0)*(1 + 3 - 2) + 2*j**4 + 2*j**4 - 3*j**4.\nAnswer: 238*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iooiiio?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0 - (-5 - 4) - 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 2. Let o(i) = -i + 97. Determine o(g) - w(g).\nAnswer: -2*g + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/9 + (-6)\/(-9). Let a(s) = -s + 5. Determine a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*w - 17 = -z, 4*w - 22 = 5*z. Let l be 1\/z*(-6)\/(-4). Which is the nearest to 0.1? (a) l (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and -10.1.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2897.1832 times -0.4\nAnswer: -1158.87328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d**2*h**2 - 4*d**2*h + 3*d**2 + 2*d*h - 11*h**2 + h - 2 wrt d?\nAnswer: -14*d*h**2 - 8*d*h + 6*d + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 1. Let y be x(-3). Let w be (10\/(-3))\/(y\/6). What is the second derivative of w*k + k**2 + k - 3*k - 2*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*d + 34658 = -211*d for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + n = -105 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-f + 5*f - f) - 6*f + 2*f + 0*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*26234\/(-5045)\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 193112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*u + 5*x, -3*u + u + 43 - 53 = -2*x for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58\/15 - 16\/5. Let b = 390 + -387. Factor 0 + 4\/3*k**2 - 2\/3*k**b - p*k.\nAnswer: -2*k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*0 + 5. Let x(d) = -d**2 + 6*d. List the prime factors of x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*r = -11, 5 - 14 = -s + 5*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067550483 rounded to 5 dps?\nAnswer: -0.06755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2045552064 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 294.6092um?\nAnswer: 0.0002946092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -4 + -13 + (-1 - -2) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (995\/(-398))\/((-25)\/6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: c736 (base 13) to base 11\nAnswer: 19804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*r + 14, -3*q - q + 5*r + 44 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4381138 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -16 + 2 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q**3 + 4836*q**2 - 1603*q + 2960. Give h(-269).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:48 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42668 divided by 21334?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 2*y - 1. Determine k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072*g**2 - 84*g + 460*g**2 + 84*g + 578*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 6*j**2 - 7*j + 4. Let i be v(4). Is 30 + i\/(-4) + 3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9 = -3*g, -3*p - 6 = -5*g - 21. Let x(n) be the third derivative of -1\/6*n**4 + 0 - 3*n**2 - 1\/6*n**3 + 0*n - 1\/60*n**5. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 100*c**2 + 4616*c - 4193. Determine r(-47).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((3\/12*-14)\/((-2958)\/1479)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 103*b**2 + 22*b - 773. Calculate x(-3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:22 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16122 divided by -161\nAnswer: 16122\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z - 23. Let l be d(3). Suppose l*q - 23*q + 9210 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13402 + -47?\nAnswer: -13449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjkmjjkjkjkmkj. What is prob of sequence mk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {c: 1, p: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1584280, 6337102, 14258474, 25348396?\nAnswer: 39606868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2053.686687 to 1 decimal place.\nAnswer: -2053.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16261 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -30*l + 3*h, -2*l - 4*h + 52 - 90 = 0. Find t, given that 3*t - 3\/4*t**l - 3\/4*t**2 + 3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260.3 - 260. Which is the closest to -0.1? (a) 0 (b) o (c) 1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -7 + 8428\/98. What is the highest common factor of d and 754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 106 = 0. Let x = -33 + w. Let s be 0\/(6 + -1) + (4 - 0). Solve m + s*m + x = -5*k, 0 = 3*k + 4*m + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.29 (b) -21 (c) 59.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/5 + (-4807)\/(-161).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179919 is divided by 68.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2964586, 11858321, 26681212, 47433259, 74114462, 106724821, 145264336?\nAnswer: 189733007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*l + 688*l**2 - 276*l + 92*l + 91*l to h*l**2 + t + y*l and give h.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 0, 3*j = 7*j + 4*s - 4. Let a(o) = -3*o**3 + 4*o**2 + 6*o. Let d(n) = 4*n**3 - 5*n**2 - 7*n. Let y(w) = -6*a(w) - 5*d(w). What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-40))\/(2\/(-48)). Let y = c - -24. Calculate the remainder when y is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.048, -3450, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 2*v**3 + 0*v**3 + (2*v**2 - 3*v + 3*v)*(-1 + 2*v + 1) - 3*v**2 - 2*v**3 + 3*v**2 - 312*v**3 + 3247*v - 2 - 3247*v.\nAnswer: -311*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -58, -94, -138?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3948)\/126)\/(4\/114). Let m = c + 1549. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 48 = 114. Solve -t*w + 2*w - 11 = 4*q, -4*q + 3*w + 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 59 - 271*m - 96*m**2 + 97*m**2.\nAnswer: m**2 - 271*m + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a**3 + 1. Let n(h) = -5*h - 4*h + 6 - 26 - 2. Let c be n(-6). Let u = -33 + c. Determine w(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34516 - 34700.93. Let l = h - -185. Which is the closest to -2\/3? (a) -13 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5927243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6459 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -4.51.\nAnswer: -2.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3 - 17. Calculate the lowest common multiple of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3065)\/(-6) - (0 + 0). Let o = b + -507. Calculate the common denominator of o and -73\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(405)*-3) - (-5 + -5*(sqrt(11) + -2 + sqrt(11))**2).\nAnswer: -1081*sqrt(11)\/27 + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5086*v + 5412*v = -18908 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/4))\/d**(-1\/3))**23\/((d**(2\/7))**14*((d**(-7)*d)\/d)\/d*d**(1\/4)) assuming d is positive.\nAnswer: d**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9627, -9597, -9567, -9537, -9507?\n\"Answer: 30*z - 9657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139986 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**2 - 4. Let k be d(-2). Let p be (-72)\/(-21) + (-2 - 72\/k). Suppose 0*c + c - 15 = -5*q, 0 = p*q - 3*c - 31. Solve -q*h = -h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295286226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 40*t - 6. Let g(v) = -9*v**2 - 50*v**2 + 82*v**2 - 10*v**2 - 10*v**2. Give g(k(u)).\nAnswer: 4800*u**2 - 1440*u + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.11 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 56332071?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 16*r + 15. Let x be h(15). Let g(l) = l**2 - 2*l + 220. Let k be g(x). Let v = -885\/4 + k. What is the closest to 0 in -2, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2189 + 2221. What is the remainder when 798 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/8 and -8\/12412791.\nAnswer: 99302328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 2 (c) -1 (d) -653 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 6 + -9 - -9. Suppose q = c + u - 3, 9 = 3*c. Solve -8*a + 3*a = -5*x, -4*a = -q*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 5*h - 22. Calculate b(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1675\/11 + -25103\/165. What is the nearest to 1.98 in 5\/3, 0.5, u?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/8 - i**5\/5 - 15*i**2. What is the third derivative of w(y) wrt y?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48743\/12 - -4062. What is the second biggest value in 198, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 1, g: 8, j: 5, n: 1, b: 3}. What is prob of picking 2 y and 1 i?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.642 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -52 (c) -1\/7 (d) 2\/19 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*o - 71. Suppose 0 = 6*h + o + 29. Let q(m) = -m**2 - 9*m + 2. Calculate the lowest common multiple of 2 and q(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127 + -13849.\nAnswer: -13976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17094095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2*u - 3*u + 3*u)*(-288 - 39*u**4 + 288).\nAnswer: 156*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*k + 2*c = 24, -k + 7*c = -0*c + 1626 - 1555 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l - 2*l + (-2*l - 3*l + 3*l + 6)*(-3 - 4 + 1))*(0*l - l + 3*l)*(9 - 9 + l).\nAnswer: 18*l**3 - 72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 37*w**2 - 46*w - 303. Let m be g(-38). Let f(z) = -2*z. Let h be f(1). Put m, h, -0.3, 5 in increasing order.\nAnswer: h, -0.3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 855080 and 121421360.\nAnswer: 121421360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfmfwffmmfw. Give prob of sequence wf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (990 - 436 - 302)*(f**2 + 1 - 1).\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Suppose 18*k - 1 = -1. Suppose k*b + 18 = h*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1526 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 24*i**2 + 596*i + 8774. What is o(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*87979.\nAnswer: -263937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 10959?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58, -197, -494, -1027, -1874, -3113?\n\"Answer: -13*o**3 - o**2 - 45*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**6\/480 + t**4\/96 + 3*t**2\/2 + 6. Let s(y) be the second derivative of h(y). Factor s(l).\nAnswer: -l*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 9*y + 45. Let n be f(-7). Suppose -20*g + n = 229. Let i = 106 + 38. Calculate the greatest common divisor of i and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - 15) + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/4)*p)\/p*p\/(p**(-5)\/p)*(p\/(p*p**(1\/2))*p)**(-10\/17) assuming p is positive.\nAnswer: p**(507\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 - 13*t**2 - 64*t - 68 = 0. What is t?\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13010 + 21232?\nAnswer: 100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 938 = -282. Let w be (-3)\/((-3)\/z*-2). Suppose 3*t + 0*t + k = w, 4*t - 3*k = 141. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42747552 and 2256?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1225380671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331 + 333. Solve 2*h = -0*i + t*i, 4*i - 1 = 3*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 = p. Let j = 17 + p. Calculate the highest common divisor of j and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12787 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40 * 70\nAnswer: -2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*s**2 - 86*s**2 + 3*s + 141*s**2 + (-4*s + 3*s + 2*s)*(-2*s + 4*s - 5*s) as x*s + j*s**2 + k and give j.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (17 + -25)) + (-4 + 6 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51673.\nAnswer: 51673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) -41 (d) 190 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -0.2 (c) -3\/19 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186527 (base 11) to base 12.\nAnswer: 119b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*o = 0. Suppose 5*g - 339 = 4*g - 4*r, o = -5*g - r + 1657. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 + 3 + (0 - 6) - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 33, -241, 0.03, 0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/6)\/((-5)\/26) and 163\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/(2\/(-3)). Let a(t) = -9*t - 1. What is a(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 - 21379584*a**2 + 57135826501632*a = 0.\nAnswer: 0, 5344896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/10 + u**3\/2 + u. Let o(w) = -8*w**3 - 13*w - 1. Let r be ((-3)\/5)\/((-4)\/60). Let f = 465 + -463. Give f*o(b) + r*v(b).\nAnswer: 2*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(175)\/(sqrt(25)\/sqrt(5)))\/sqrt(7) - (sqrt(1470)*-2)\/((-2*sqrt(66) + sqrt(66))\/sqrt(11)).\nAnswer: -13*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*i = -300*i + 18104 for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.087 and 37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -42 + 36 - 25*c + 26 + 4*c. Let f be (6\/(-5))\/(9\/30). What are the prime factors of t(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000438938149 rounded to six decimal places?\nAnswer: 0.000439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 552 + -550. Let y(l) be the first derivative of 1\/16*l**4 + 0*l**2 + 0*l - a + 0*l**3. Determine h so that y(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62560.638 less than 289046?\nAnswer: 351606.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 15*c**2 - 15*c - 2. Determine u(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 36, 108, 240, 450, 756, 1176?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (10 - 5 - (1 + -2 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + (-7 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0, 54, 2, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10441*i - 10391*i = 250 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f + 393 = 325 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -51*z - 86. Let t be m(-2). Let b(p) = -p**2 + 23*p - 39. What are the prime factors of b(t)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 13*x - 13. Let d be g(15). Let i = -13 + d. Let h(l) = -l**3 + 7*l**2 - 8*l + 3. What are the prime factors of h(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122908*c*y**2 + 195385*c*y + 2*c + 2*y**2 wrt y?\nAnswer: 245816*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010010010 - -1101?\nAnswer: -1010010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60.07726 or 26\/3?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 3) to base 11.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 24, 53, 100, 171, 272?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 - 2*q - 84126 + 168123 - 84161 to the form g*q**2 + p*q**3 + n*q + c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 38*y**2 - 40*y - 6. What is p(-37)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 10:12 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - ((11 - 3) + 33)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 - 3*d - 17. What is the units digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 + 18*n**3 - 68*n**2 + 48*n = 0 for n.\nAnswer: -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = o + 88 - 122, -2*n = -o + 58. What is the nearest to o in -3\/2, -3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -414, -914, -1630, -2568?\nAnswer: -3734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 49. Suppose 0 = 2*l + 4 - 0. Let i be (-13 + 3)*l\/4. Solve -3*c + 5*s = 2*c - i, -3*c = -5*s + j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11830.0622 - -0.3.\nAnswer: -11829.7622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 14) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-259)\/259)\/((2\/(-44))\/(12\/(-12)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 43383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:54 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211101 - 222?\nAnswer: -11212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -642289822*d - 640860245 wrt d.\nAnswer: -642289822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/135 + 57936\/(-3213))\/(2\/(-14)*6)?\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07264 - -0.02736. Suppose -2*l - 2*y = -10, -6*y + 2*y - 44 = -4*l. Suppose 0 = 5*w - 9*w + l. Which is the smallest value? (a) q (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(((-3)\/5)\/3). Let d(m) = -4*m**2 + 2*m + 33. Let w be d(0). Suppose x + a = w. Calculate the greatest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 43922943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlbvktbvv. Give prob of sequence vb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-90)*(-230)\/(-69).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + 4*f + 3. What is n(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -2135.\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r - 2*r**3 - 2*r**2 - 2*r**4 + 2*r**3 + 11*r as m*r**3 + j + k*r + d*r**2 + i*r**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92 + 4?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*l - 4, 22 = 3*n - l. Let q be 1\/2*(n + -7). Let d(y) = y**2 + 7 + 2*y + 3*y**2 + q*y**2 - 5*y**2. Give d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872593125 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881888 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 163. Suppose -4*d = -g + 13. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/8)\/(10\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 3, -162986.5 in decreasing order.\nAnswer: 3, -2\/33, -162986.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0704 and -0.2.\nAnswer: -0.01408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**3*x**2 + 3*b**3 - 4*b**2*x**4 + 14*b**2*x - x**2 - x wrt x?\nAnswer: -10*b**3 - 48*b**2*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 3\/35, -0.1, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + (-1 - (-1 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61912208 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*q - 29 = 0, 5*c - 6*q + 4*q = 158. What is the greatest common factor of 104 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(84)*5*-6 + sqrt(84))\/(-5*sqrt(12)*-6).\nAnswer: -29*sqrt(7)\/10 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2760 - 2773. Sort 3, x, -33 in ascending order.\nAnswer: -33, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91831779 divided by 38601?\nAnswer: -2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from cccacccccclccccccc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-30 - (-29 - 22)) - (28 + 0)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12727 and 643877?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -100*j**3\/3 + 151*j. Let m(r) = 2*r. Give l(m(t)).\nAnswer: -400*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/16*2*1. Let a(d) = 2*d**3 + d**2 + 8*d + 1. Let r(b) = 4*b**3 + 2*b**2 + 17*b + 2. Let o(p) = 13*a(p) - 6*r(p). What is o(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 41 - 23 = 0. Let u(l) = l + 62. Let b be u(r). Let w = 45 + b. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249*-2*(-22)\/(18 - 744) + 14.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -1 + 5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(-4*(-6*(sqrt(78) + sqrt(78)*-1))\/(sqrt(6) - ((sqrt(96) - (sqrt(96) - (sqrt(96) - -1*sqrt(96)))) + sqrt(96))))**2 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2843252377 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5547*v**3*x - 37*v**3 + 2*v**2*x - 2*v**2 + 1612*v - 7*x wrt x.\nAnswer: -5547*v**3 + 2*v**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3041 and -1?\nAnswer: -3041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-5)\/(-3) + -2. Let s be (0 - 0)\/(6\/2). Let v = s - -2. Which is the nearest to h? (a) -0.3 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**9\/72 + s**5\/6 + 4*s**2. What is the third derivative of w(b) wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1)\/((-4)\/8). Let w be 10\/((-2)\/8*a). Let l = w - -22. Solve -3*o - 2*c - 7 = 0, -l*o + 0*c = c + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-254)\/(-4572))\/((-1)\/(-27)))\/(((-8)\/(-4))\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-2) + (4 - -2). Suppose 0*g = -6*g + 12. Solve s*n = 2*n - g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {i: 10, b: 2, q: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p**2 + 0)*(31*p**3 + 152*p**3 + 291*p**3).\nAnswer: -474*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2900 and 63075?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-18)\/12*30*(-54)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 + 508. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -5. Let h(s) = 22*s**2 + 273*s + 673. Let w be h(-9). Let i be 2\/3*84\/(-2). Which is the smallest value? (a) w (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 4*q**2 - 1 + q**4 + 0*q**4 - 2*q**4 as z*q**3 + t + l*q + p*q**4 + w*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0354 and 4.2.\nAnswer: 0.14868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 0*f**2 + 0*f**2)*(1 - 3 + 3) - f**2 - 2*f**3 + 9*f**3 + 31*f**3 + (f**2 + f - f)*(3 + 6*f - 3).\nAnswer: 42*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 + 31732*w - 31736 = 0.\nAnswer: -7934, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -735659450, -735659449, -735659448, -735659447, -735659446?\n\"Answer: n - 735659451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 32 = 68. Let d = u - 14. Let y be (-121)\/(-66) - (-3)\/18. Calculate the highest common divisor of y and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46991 + 87268. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 2*h. Let v be k(-7). Let u be (3\/(v\/(-120)))\/(18\/(-63)). Let b be ((-30)\/u)\/(6\/(-16)). Solve -3*m = b*p + m - 16, 2*p - 8 = 2*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -22. Suppose 0 = 2*w - 4*w - z. Let t = w - -24. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -1)*4 + sqrt(2736) + (sqrt(2736) + sqrt(2736) + -1)*-5 + -2 + -5*((sqrt(2736) - (2*sqrt(2736) + 1)) + sqrt(2736)) + 1)**2.\nAnswer: -600*sqrt(19) + 68425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5129 divided by 223?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 15*x**2 - x**3 + 3 + 29*x**2 to d*x + n + c*x**3 + l*x**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 27 = -5*j - 13, 20 = w - 5*j. Suppose 3*c + 3*l - l = 10, 4*l = 3*c + w. Suppose s - 6*s + 5 = 0. Solve -s = -a - c*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkb when three letters picked without replacement from {p: 7, k: 3, r: 8, b: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2*10\/15). Suppose 5*t - 4*t + 2*h + 15 = 0, 15 = -d*h. Let s(q) = 9*q**2 + 12*q + 4. Is s(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(252) + 3 + sqrt(252) + (-1 + sqrt(252) - sqrt(252))*-3)**2 + 5 + 4)*-1.\nAnswer: -1033 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 41782 + 41782.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*b - 685095 + 676867 for b.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + -9. Let r be 3 - i\/(-4) - -5. Suppose -5*s - n + 192 = -0*n, -r*s - 3*n + 120 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2756940*m - 12895 + 12895 + 2756949*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17691 - -6590. Let z = m + 333073\/30. Find the common denominator of z and -37\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62.9 in 1104, -0.091, 0.2?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1518 - 0.5518. Which is the closest to 0.11? (a) y (b) 0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + 4.6. Let l = 6.04 - i. Let g = l + 0.26. Put g, 0.4, -5\/6 in ascending order.\nAnswer: -5\/6, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 7*y - 3. Let g be w(6). Find the third derivative of -2*c**2 + 3*c**2 + c**2 - g*c**3 - 3*c**2 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 48. Let n be v(47). Let d(x) = 39*x**3 - 2*x**2 + x - 1. What is the units digit of d(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 130 = -120. Let a = 202\/3 + -68. What is the closest to a in 3, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - -42. Let t = -58 + m. Suppose -5*f - 4*z = -t, -3*z - 4 = 3*f - 19. Which is bigger: 4\/61 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 9) + (-1261)\/(-143))\/(12\/(-22))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/13, -5.19, -20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttojjtoccjt. Give prob of picking 2 o and 2 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 110 + 63*v in the form u*v + t and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32832 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 52*g**2 - 20*g + 20. What is the remainder when w(3) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-78))\/(406\/580).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4176 - -45894\/11. Let w be (7\/(-5) - 1)*(-231)\/210. Let j = 121\/25 - w. What is the common denominator of k and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/190066801 and 27\/10568.\nAnswer: 1520534408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101\/19 + 284\/57. Which is the smallest value? (a) -4\/5 (b) k (c) -1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42758990 by 4.\nAnswer: 21379495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**2*r**4 - 147*g**2*r - 2*g**2 + 52*r**4 wrt r.\nAnswer: 72*g**2*r**2 + 624*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754755 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5010847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1239.70025 - -1234.7. Let v = 5 + d. What is v rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r**5 + 254*r**4 + 2544*r**3\/5 + 2064*r**2\/5 + 736*r\/5 + 96\/5 = 0.\nAnswer: -6, -1, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.99989 + -4. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.748552 litres to millilitres.\nAnswer: 9748.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0 = 6045. Suppose -b = -o - 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -416352415*q**2 - q - 169237307 wrt q.\nAnswer: -832704830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o - 4*r + 82 = 0, 3*o + 3*r - 84 = 0. Calculate the smallest common multiple of 135 and o.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -73*g**2 + 11*g + 11. Let a(t) be the second derivative of -37*t**4\/12 + t**3 + 3*t**2 - 55*t. Calculate 11*a(d) - 6*l(d).\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29094 and 7?\nAnswer: 203658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -803878*j. Let m(x) = -4*x**2. Calculate y(m(d)).\nAnswer: 3215512*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13724620 rounded to the nearest ten thousand?\nAnswer: 13720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1364*i - 1370*i + 2734*i - 364*i**3)*(-2 + 2 + i).\nAnswer: -364*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1 + 4 - 2 + 5*u. Let p be q(6). Suppose 3*b + b + v - p = 0, -5*b = v - 39. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196 + 197. What is the second smallest value in -4, -5, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 7) to base 13\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 65 - 103)*((-3 + h + 3)*(2 + 0 - 5) + h + h - 4*h).\nAnswer: 255*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*k = -1 - 15, 2*i + 16 = 4*k. Suppose 0 = s + 3*c + c - 50, i = -2*c + 4. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s)\/s*s**(-3)*(s\/(((s\/(((s\/((s\/s**1)\/s))\/s)\/s))\/s)\/s))**(1\/13)*(s**(3\/2)*s\/(s**(-4)\/s*s))\/((s**0*s)\/s*s**(-2\/9)) assuming s is positive.\nAnswer: s**(673\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 15) in base 10?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/151964530 and 137\/38586.\nAnswer: 455893590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -42*x + 4. Let v(u) = 1. Let i(w) = 3*v(w) - z(w). Let o(n) = -2*n**2. Give i(o(d)).\nAnswer: -84*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -23. Suppose -3*t + l = -31. Differentiate -14*w**2 + 47 - 4*w**2 + 6*w**2 - t with respect to w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+386.5104193\nAnswer: 383.5104193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2b5b (base 12) to base 4\nAnswer: 1033313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/60 - c**4\/24 + 3*c**3\/2 + 23*c**2. Let r be q(0). Suppose -3*t - r*t = -1044. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*s - 11956 + 5149 - 11386 = 0. Calculate the remainder when 448 is divided by s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -703 + 704. Solve -g + 1 = 2*a, 0 = -3*a + 4*g - 6*g + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v + 9 - 12 + v**4 + 57607*v**2 - 57664*v**2 to m*v + w*v**2 + u*v**4 + o + t*v**3 and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6.4*-13\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 + 1. Let d(j) = 2*j**3 - 5*j**2 + 1. Let q(u) = -6*d(u) + 10*x(u). Let y(w) = 0*w**2 - 9 + 5*w**3 + 0*w**2. Determine 9*q(f) + 4*y(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3618*q - 107 = -13*i + 3615*q, -2*q = 5*i - 30 - 12 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 751101163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-11 - -14) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/18*(-2)\/((-32)\/(-60)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 8*l**2 + 4*l + 6. Let j be q(-6). Calculate the greatest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*6*1. Let o be (-3 - -18)*(-4)\/3. Let z = -5 - o. Solve c*d + z = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109\/5 + 679\/30. Sort -5\/12, r, -1, 2 in decreasing order.\nAnswer: 2, r, -5\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4033555 centuries to years.\nAnswer: 40.33555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 122?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 15*g + 4*g - 713 = 0, -942 = -3*q - 3*g. What is the remainder when q is divided by 272?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555958?\nAnswer: 2, 13, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 - 5*f + 11. Let i(s) = -5*s**2 + 0*s + 9*s - 6*s - 6. Calculate 7*i(p) + 4*v(p).\nAnswer: p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/17 (b) 2\/27 (c) 0.1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104683347 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -221331?\nAnswer: -221301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 9*f - 10. Differentiate 14*d**3 + 2*d**3 - f + 2 + 1 wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -938*y + 464*y + 3 + 472*y. Let v(p) = -p + 1. What is u(n) - 3*v(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16910 - 5055. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8955 divided by 3.\nAnswer: 2985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2987, -3000, -3037, -3110, -3231, -3412, -3665, -4002?\n\"Answer: -2*q**3 + q - 2986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 233, 436, 705, 1046, 1465, 1968?\nAnswer: 2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001691949 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167954 is divided by 523?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 125*t**5 + 1490200*t**4 - 25956695*t**3 + 126910130*t**2 - 17256960*t - 773647200 = 0?\nAnswer: -11939, -2, 5, 36\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(12\/11)\/(t\/t**20) assuming t is positive.\nAnswer: t**(221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/12 - 4\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 47.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:56 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u**3 + 13 - 13 - 3 - 2*u**3 + 3 + (0*u**3 - 5*u**3 + 3*u**3)*(-3 + 3 - 2) as s + n*u + z*u**2 + k*u**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.96 + -0.04. Let h = -0.3 - 0.2. Let y = 121 - 607\/5. What is the nearest to -0.1 in o, y, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**5*o)\/o)\/(o**(-4)*o*o*o))**(-26) assuming o is positive.\nAnswer: o**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1164 + 5809 + 42)*(-3*y - 3*y + 3*y).\nAnswer: -21045*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t. Let c be b(3). Let p = -12 + c. Calculate the remainder when 8 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1344*b**2 + 9*b - 34. Let l be t(8). Suppose 0 = -15*w + l + 181801. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*y**4 - 113*q*y**3 - q*y**2 - 72*q*y + 2067*q + 209*y**4 - 67*y**3 - 3*y wrt y.\nAnswer: -48*q*y - 678*q + 5016*y - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -1\/10*i**5 + 0*i**3 - 1\/4*i**4 + 0*i**2 - 37 + 0*i + 1\/12*i**6. Factor s(g).\nAnswer: g**3*(g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23851 and 107525?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 7. Suppose -5*g + y = -5. Let s be (-4)\/(g - 1) - -5. Solve -3 = -s*k - 0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(121) - ((sqrt(121) + 3*sqrt(121))*-4 - sqrt(121)))\/(3*-2*sqrt(11)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 337, 801, 1469, 2341, 3417?\n\"Answer: 102*a**2 - 46*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 + -312. Let r be (6\/4 - 2)*20. Let j = r + 16. Is p bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7683 + -4.431. Round u to 2 dps.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 23*n**3 + 61 + 34 - 118*n**3. Suppose 3*a = 6*a + 9. Let r(b) = 8*b**3 - 8. Let c(f) = a*y(f) - 35*r(f). What is the first derivative of c(s) wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-599466)\/(-686) + 8\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - -11 - 128\/16. Suppose 0 = -3*k + 4*k - 3. Calculate the greatest common factor of g and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 946512*t**5 - 3809967*t**2 wrt t.\nAnswer: 56790720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 249?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c - 19*c - 2*c + 74 + 34*c + 10 to b*c + d and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111912.\nAnswer: 2, 3, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.2 (c) -0.3 (d) -396 (e) -15\/4 (f) -0.4 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + (13 + 17 - 10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s\/(s*s**(-1\/34))))\/s)\/(s\/((s*(s\/((s\/s**(-2\/73))\/s))\/s)\/s)*s*s) assuming s is positive.\nAnswer: s**(-5105\/2482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/3 + 14*j**3\/3 + 20*j**2 - 158*j\/3 + 85\/3 = 0. Calculate j.\nAnswer: -5, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 161700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8308 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 1. Let p(k) = 16*k**2 + 2. Determine n(p(w)).\nAnswer: 512*w**4 + 128*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 6:36 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -19402 < -213435\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + 0?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*k*y**5 + 5*k*y**4 - 19*k*y**3 - 319*k*y**2 + 6*k*y - 3*k + 2*y wrt y?\nAnswer: 8940*k*y**2 + 120*k*y - 114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + 3*d**3 - 3*d**2\/2 - 18*d + 1. What is the remainder when n(-9) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 2. Let u = 63 + -42. Let l(w) = 7*w - 141. Let p be l(u). Give z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*c + 48, 28*i - 23*i - c = 104. Calculate the highest common factor of i and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 37 = -3*i, -f + 12 = i - 0*f. Suppose v + a = i, 0 = 5*v + 4*a - 18 - 43. Suppose 5*k - 1 = v. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/o**(1\/2)*((o\/o**(-2\/9)*o)\/o)\/o**(-1\/2)*((o*((o*o\/o**2*o*o*o)\/o)\/o)\/o)**(1\/7)\/(o**(-6)\/(o\/o**(-6))) assuming o is positive.\nAnswer: o**(1157\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 10 + 32)*(2 - 2 + 2*y**2) + 0*y + 0*y + 2*y**2.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.96 - -0.04. Let k = t + -3.97. Let r = -0.02976 + k. Round r to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*h*t*x - h*x + h - 3*t - 12*x - 6 wrt x?\nAnswer: 10*h*t - h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 + 3*r**2 + 2 + 23*r**6 + 3 + 4 wrt r?\nAnswer: 2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2571.673 weeks to minutes.\nAnswer: 25922463.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11)**(11\/4)*y**(-4)*y\/y**29 assuming y is positive.\nAnswer: y**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254 - -359. Suppose 17*b = 3*b - 4*b + 810. Calculate the highest common divisor of b and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 5*s**2 + 7*s + 8. Let o be q(-6). Let m = 14 + -10. What is the highest common factor of m and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(3\/(-66)). Let y = -12 - x. Suppose 6*k - 4*k + 2 = 0. Is y at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8366.\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-315)*9)\/(2\/(-4)))\/((-1)\/(-155))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -1, 3, -8 in increasing order.\nAnswer: -8, -1, -0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2. Let i(x) = 28*x**2 + 7*x + 33. Calculate i(m(u)).\nAnswer: 252*u**4 + 21*u**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/270*-3*-6)\/(13\/(-130)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5863051 (base 9) to base 6\nAnswer: 151545244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - a. Let p be d(-1). Let c(w) = 0*w**3 + w**3 - 66 - 5*w**2 - 2*w**p - w + 63. Calculate c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 20. Is r(24) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c**2 - 2*c)*((-1 + 1 - 2)*(4 - 4 - 2*c) + 93*c + 38*c - 220*c)*(0 - 4 + 2).\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + -1*-2*sqrt(700) - ((sqrt(7) - sqrt(14)\/(sqrt(6)\/sqrt(3)) - (sqrt(84) - sqrt(21))\/sqrt(3)) + -5)*1.\nAnswer: 6 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 30 = -4*c. Let p(m) = -39*m**4 + 51. Let x(a) = -8*a**4 + 10. Let s(n) = c*p(n) + 24*x(n). What is the first derivative of s(f) wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1792*j + 1800*j = 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37410668.\nAnswer: 2, 1297, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**7\/2520 + d**6\/720 + d**5\/120 + 5*d**4\/12 - 2*d. Let r(f) be the third derivative of g(f). What is r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 1322548253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/28)\/(214*(-14)\/(-752) + -4). Solve 9*a = b*a - 266 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12593653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q**2 + 2*q + 2. Calculate i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 16 + 328*f + 6*f**2 + 205*f - 8*f**2.\nAnswer: 2*f**2 + 533*f + 16","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let n(q) be the first derivative of 365*q**3 + 616. Give t(n(d)).\nAnswer: 1095*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 - -133.998. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, n: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + 100 - 52 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.51 - -1.3. Which is the closest to 0.1? (a) -5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 21 - 4. Let t(h) = h**2 + 3*h - 6. Let w be t(y). Put -2, -5, w in decreasing order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 6*l**3 - 11*l**2 + 6*l.\nAnswer: -l*(l - 3)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 51*z - 160 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = -1. Is o\/(3484\/3476 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + 1275\/1400. Do 0 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1800\/102 + (-1290)\/(-3655).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) 0.96 (c) -940 (d) 0 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Sort -2, -5, d.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o*(o*(o*o**(4\/13)\/o)\/o)\/o)*o*o\/(o*o**18\/o))\/((o**(-11)*o)\/o**(-34)) assuming o is positive.\nAnswer: o**(-485\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 537711 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3 (b) 109 (c) 1\/13 (d) 23\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + y + 39 - 74 = 0, 0 = -3*w + 5*y - 13. Solve -20*t = -w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -111. Let r = -71 + o. Factor 3\/7*n**r + 3\/7*n + 0.\nAnswer: 3*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(-18 - (-21 - -5)). Which is the second smallest value? (a) -5 (b) -3\/61 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 3*w**3 + 0*w - 1 + 2*w**2 - 1. Let n(m) be the third derivative of m**6\/120 + m**5\/60 - m**4\/24 - m**3\/6 - 4*m**2. What is i(j) - 2*n(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8495141 divided by -3\nAnswer: 8495141\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 28, 116, 250, 436?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -168*s + 169*s. Let k = s + 266. List the prime factors of k.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 16*v - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3836\/238 + -16)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 1. Let g be b(3). Suppose 5*d + 2 = -8. What are the prime factors of g\/d - 1 - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -91?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-24)*(49\/(-7))\/7.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181282 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -4 (b) -2\/5 (c) -6530 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259782, 259785, 259788?\nAnswer: 259791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43324130 - -1?\nAnswer: 43324131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 42. Suppose -16*q + r*q - 4 = 0. Sort q, -10, -3 in decreasing order.\nAnswer: q, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**3 - 3*x**2 + 7*x - 2. Let k be p(2). Let u be (k\/40)\/(6*(-1)\/(-15)). Solve -4*b - 9 = d - 1, 5*b + 10 = u*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = -4. Let p(j) = -4*j**z + 9*j**2 + 8*j**2. Let l(f) be the first derivative of -f**2 - 8. Determine l(p(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v - 63. Let s = -123 - -137. What is the hundreds digit of n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239 * 19725\nAnswer: 4714275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 689*f + 39. Let b(a) = 69*a + 4. Let o(m) = -39*b(m) + 4*s(m). Let z be o(2). Is (6\/15)\/(2\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138286652*i**3 + 2641*i**2 - 570*i - 1.\nAnswer: -829719912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - -5) + 9\/2. What is the second smallest value in t, -4\/3, 118?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25599 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 43*n**2 - 37*n + 1603. Give m(43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 1713981 + 250796 - 27336*v + 48*v**2 + 1927186 = 0.\nAnswer: 1139\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*o + 19360 - 11638 = -20244 + 1002 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000692770 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16208.1162us to days.\nAnswer: 0.0000001875939375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*k - 58*k = -596*k + 22176 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/(-4))\/((-3)\/(-12)). Let v = -9 - u. Let p(g) = 4*g**2 + 41*g - 19. Let b be p(-11). Is v less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 548 = 2*x. Suppose 5*o = -13 - x. What is the remainder when (96\/(-15))\/(4\/o) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -23*r**8\/336 + 5*r**4\/3 + 28*r**2. What is the second derivative of z(a) wrt a?\nAnswer: -460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 2:24 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 12. Let b be (-1)\/(-4) - q\/8. Sort -4, b, 3 in decreasing order.\nAnswer: b, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*d - 12 = 5*d, -p + 9 = -2*d. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 5*u. Suppose x - g = 45, 2*x - 4*g - 21 - 71 = u. What is the greatest common factor of x and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 441, 632, 789, 900?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*b = 70*b + 93*b. Solve b = -5*r + 3*n - 16, -r + 82*n - 20 = 87*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -79*q + 2 - 2 + 22*q. Let n(d) = 3*d. Determine p(n(s)).\nAnswer: -171*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13690439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 + -92. Let z = 43 - -126. Suppose z = 9*q + 4*q. What is the greatest common factor of q and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353\/1111807 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -54*f + 335. Let b be l(6). Let k(r) be the second derivative of 0*r**3 - 3\/4*r**5 - 3\/2*r**4 + 0*r**2 - b*r + 0 - 1\/10*r**6. Factor k(w).\nAnswer: -3*w**2*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) 12 (c) -4 (d) 6 (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 11*n**3\/3 - 10*n**2 - 5*n + 66. What are the prime factors of o(6)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 4108*n**2 - 2*n - 4110*n**2 + 2*n.\nAnswer: -2*n**2 + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 153. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 4, -23, -70, -143, -248, -391?\n\"Answer: -l**3 - l**2 - 3*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**5\/20 + 5*i**4\/12 + i**3\/3 - 3*i**2\/2 + 6*i. Let f be 2\/1*42\/(-21). Let u be p(f). Put u, -4\/9, -1\/5 in ascending order.\nAnswer: -4\/9, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -86. Suppose -v*z - 652 = -2*c - 6*z, -3*c + 5*z + 967 = 0. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 392 = -1406. Suppose 25*s - 390 = 19*s. What is the greatest common divisor of s and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*b = -138, -v = -3*v - 2*b + 76. Let w = 1447 - 1466. Let n = w + v. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jccjmjccc. What is prob of picking 3 c and 1 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 31. Let j be z(-16). Let o = 15 + j. Suppose x - 7 = 4*s, o = x - 2*x + 2*s + 17. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1240*o + 110. What is the thousands digit of z(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 80.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637329 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h + 242. Let k be r(27). Let z be (34 + -31)\/(k\/(-79)). What is the greatest common divisor of 158 and z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43275 + -43271. Let j(r) be the first derivative of -16\/9*r**3 + 23 - 8\/3*r + 10\/3*r**2 + 1\/3*r**v. Factor j(k).\nAnswer: 4*(k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 1. Let n be (66\/(-4))\/3*2. Let m(i) = 3*i**2 - 3639 + 3*i**2 + 7283 - 3641. Calculate n*l(q) + 4*m(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5111 - 3116. Is 133 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517931.\nAnswer: 3, 23, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let m = -3 + v. Let b be (-1 - (-2)\/(-6))*(0 - 3). Put -3, m, b in ascending order.\nAnswer: -3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18818.73um to kilometers.\nAnswer: 0.00001881873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6190*-0.4.\nAnswer: -2476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 860236 and 33552.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n - 52*n + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 16*d**2 + 13*d + 22. Let l(s) = -6*s + 113. Let x be l(21). Is y(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113302 (base 4) to base 8\nAnswer: -2762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4*10\/(-45). What is the nearest to -0.16 in -4, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.8 - 26. What is the third biggest value in l, -4, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 18. Let s be c(10). Suppose 0 = -5*a + 23 - s. Factor -3 - a + k**3 - 9*k**2 + 3 + 2*k**3 + 9*k.\nAnswer: 3*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(208)*1 + (1*sqrt(39))\/sqrt(3) + sqrt(52)\/(-2*sqrt(144) + sqrt(144)))*-5.\nAnswer: -725*sqrt(13)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -7, -0.5, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -17, -3, -5, 1, -722 in decreasing order.\nAnswer: 5, 1, -2, -3, -5, -17, -722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 8*x**2 + 5*x - 12. Let l(s) = s**3 + 25*s**2 + 156*s + 16. Let i be l(-11). Determine n(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 57, 120, 207?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-15\/7)*g)\/(g*g\/((g**(-3\/10)\/g)\/g)))\/(((g\/g**0*g)\/g)\/(g*g\/g**(-13\/4))) assuming g is positive.\nAnswer: g**(-27\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 1. Let d = 260 + -259. Let b(f) = -8*f**2 - 168*f - 1932. Let s(p) = d*b(p) + 4*v(p). Factor s(q).\nAnswer: -4*(q + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -193, -195, -199, -205, -213, -223, -235?\n\"Answer: -p**2 + p - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -3\/8, 0.4, -3, 2\/13 in ascending order.\nAnswer: -3, -3\/8, -0.18, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13055509\/27720 - 16462\/35. Let v = b + -7\/88. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1505*z**2 - 19*z - 1. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425)*-2 - (-2 + sqrt(425) + sqrt(425)*1))*-4 + (-1 + (1 + sqrt(425))*-2*-1)**2.\nAnswer: 100*sqrt(17) + 1689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112112010020 - 1120101?\nAnswer: -112120200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -2*k**4\/3 - k**3\/6 + k**2\/2 - 2*k. Let c(f) = -2*f - 5. Let s be c(-5). Suppose -z + s = 4*z. Give m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)\/n*n*n**(-6\/5)*n*((n*n*n**(-2\/5)*n)\/n)**(1\/9))**(4\/29) assuming n is positive.\nAnswer: n**(176\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 + i. Suppose -109*l = -103*l + 12. Let n(v) = -12*v**3 - 15*v**2 - 15*v. What is l*n(o) - 30*x(o)?\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197822, -197906, -197928, -197858, -197666, -197322, -196796, -196058?\nAnswer: -195078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 13. Let u be v(-11). Let y = u - 209. Let s = 0 + 3. Solve -s*i - i + y = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -781\/6 - -391\/3. Which is smaller: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/81, 1\/4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 2*s**2 + 5*s + 2. Calculate w(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14943594 to the nearest 10000.\nAnswer: 14940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2 - 2. Suppose -w - 21 = -m. What is the greatest common factor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 2272 (c) -3 (d) -3\/16 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2061954 divided by 687318.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 549 and 2989?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 1 (c) 4\/5 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 87*n**2 + 2*n + 29 - 69 - 3*n**4 + n**3 to the form h*n**3 + o*n**2 + w*n**4 + y + v*n and give o.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4407 and 145\/4746.\nAnswer: 61698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 - 4*b - 10. Suppose -4*q - 2*t - 8 = -7*t, 19 = q + 4*t. Let l(y) = 4*y - 6 + q*y + 17 + 4*y**2 - 2*y. What is -4*l(g) - 5*s(g)?\nAnswer: -g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b. Let r be (5\/((-15)\/6))\/2. Let g be d(r). Is g > 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a60 (base 11) to base 12.\nAnswer: -2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 51*s**2 - 195*s**2 + 49*s**2 + 46*s**2 + 22 + 48*s**2. Let i(u) = -4*u**2. Calculate i(p(r)).\nAnswer: -4*r**4 + 176*r**2 - 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 8. Let c be 84\/49*7\/2. Let b = c + f. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*8489.\nAnswer: -186758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 72 = -2*d. Let c be 8\/d*(-2 - 1). Solve 2*t = c*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128.9 - -130. Let i = 2.1 - f. What is the closest to 2\/11 in 3, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.017 (b) 2 (c) -2\/7 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3232532*h - 3232527*h + 51, -r + 24 = -h for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 - -2375?\nAnswer: 2375.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o. Let i(n) = 0 + 0 - 33*n + 69*n + 0. Give i(p(z)).\nAnswer: 252*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 189101562 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/480 and 133\/636.\nAnswer: 25440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, x: 7}. Give prob of sequence xxxx.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-2 + 1 + 2)*(8*w + 11*w - 5*w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100211 + 22002201?\nAnswer: 101110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19)\/(((2 - 7)\/15)\/1) is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 2\/3, 30, 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.34494t in grams?\nAnswer: 1344940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, x: 1, a: 7, j: 5}. Give prob of picking 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 304 = 31*r + 466. Let j(y) = -2*y + 1. Let k(h) = -h + 1. What is r*k(g) + j(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 23*x + 13*x + 14*x - 62*x - x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 25 = -3*k, 5*l = -48*k + 43*k - 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:29 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 3\/(-4))*4. Let w = 5 - l. Let x be ((-6)\/(-9) + w)\/3. Which is the second biggest value? (a) 1\/6 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100535 is divided by 472?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 54 = -38. What is the tens digit of k\/(-9) + (-12)\/54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24 - 72\/5*r - 6\/5*r**2 = 0. What is r?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*n - 67*n + 1209 = 0. Let u be 10\/36 + (116\/24 - 5). What is the closest to u in 2\/7, -4\/7, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 98, 1751, 6534, 16013, 31754, 55323?\n\"Answer: 261*d**3 - d**2 - 171*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + l - 6 = 3*l, 5*u - 27 = -4*l. List the prime factors of (u\/2)\/(291\/96 + -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68.016489 + -57.0165. Let d = -11 + w. Round d to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/35)\/(12\/(-28)) - 0 and -14\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**2 + 0*u**3 - 1\/30*u**5 + 0*u + 0 + 0*u**4. Let q(o) = 3 - 2 - 1 - 34*o. Calculate x(q(p)).\nAnswer: -2312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - p - 1. Let b(x) = -4*x**2 - 2*x - 3. Let g(w) = b(w) - 5*m(w). Factor g(i).\nAnswer: (i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 628?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -17\/6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) 2\/5 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -90, 1\/2, 1\/3, -34 in descending order.\nAnswer: 1\/2, 1\/3, 2\/7, -34, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.7 minus 51.4?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbk. What is prob of picking 1 k and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, j: 7, b: 4}. Give prob of picking 1 b and 1 y.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 - 4*o + 2. Let m(h) = h**2 - h + 1. Let s be 4\/(-12)*3*-3. Calculate s*m(t) - q(t).\nAnswer: -4*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 71*l**7\/98 - 143*l**6\/70 + 3*l**5\/70 - 2303*l - 1. Factor n(t).\nAnswer: 3*t**3*(t - 2)*(71*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -48900 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 581, 1112, 1619, 2090, 2513, 2876, 3167, 3374?\n\"Answer: -2*c**3 + 545*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -14716585.\nAnswer: -14716507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l - 612 = 4*d, 0 = -2*l - 3*d + 281. Which is greater: 151 or l?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1886 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 57)\/((-2)\/10). Suppose 0 = -15*d + 14*d + n. Let v = d + -437. Round v to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103175023.\nAnswer: 7, 17, 51001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394406352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/3 - 20*o**3\/3 - 150*o**2 + 621*o + 1. Factor g(q).\nAnswer: 4*(q - 15)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4634724 litres to millilitres.\nAnswer: 463.4724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100115 - -143434. What is the ten thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykl when three letters picked without replacement from lylklklklyyllkkylllk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14145 and 8280.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + b + 13 = 0, -4*c = 2*b - 22 + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/11 - -41\/22. Let y(d) be the second derivative of -m*d**2 - d + 0 - 1\/6*d**3. Calculate y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let y = h - -1. Factor 2\/3 + 0*i**2 - 2\/3*i**y - 4\/3*i + 4\/3*i**3.\nAnswer: -2*(i - 1)**3*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-1 + 3 + 1*sqrt(7).\nAnswer: -4*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*l**3 - 3*l + 288?\nAnswer: -36*l**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 586 = -2*p, 3*p + 205 = k - 378. Suppose k = -8*w + 4472. List the prime factors of w.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133104 divided by 66552.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2145 and 660?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = b - 0*w, 0 = -2*b + 3*w - 7. Let o = b - -16. Let n be 62\/o + (-2)\/(-8). Solve -s - 3*s = n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394*-371567.\nAnswer: 517964398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452053034 (base 6) to base 15.\nAnswer: ac5221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 263, 1996, 4865, 8858, 13963, 20168?\n\"Answer: -2*v**3 + 580*v**2 + 7*v - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (182\/(-392))\/(12\/(-48)*(2 + -3))\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 10 + 52. Let o(b) = 8 + 64*b - 68*b + r. Let t be o(3). Solve -t = 3*c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 30 = 2*g + 3*g, 3*g = 5*k + 37 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2\/3 + 676*o\/3 + 9240 = 0. Calculate o.\nAnswer: -99, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**6\/6 + 283*j**4\/4 + 76*j**2 + 5*j + 3192. What is the second derivative of k(z) wrt z?\nAnswer: 20*z**3 + 1698*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422430564203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 39512 - 14204 = -10*t. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4 + o**2. Let z(r) be the second derivative of r**3\/6 + 18202*r. Determine z(y(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8640154 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = c + 4*c - 3*b, 0 = -c - 4*b - 15. Let j(q) = 62*q + 1. Let o(w) = 314*w + 6. Let x(l) = -11*j(l) + 2*o(l). Is x(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - 124*u**2 - 247*u - 9. Give n(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 - 5 + 4*a + 0*a**3 - 5*a - 2*a**3 to the form k*a + x*a**4 + l*a**2 + d*a**3 + o and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 29 = 15. Let c be m\/(-8) - 13\/(-4). Solve -c*s = -6*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65825\/28 - -2348. What is the common denominator of 34\/28 - (0 + -1) and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65493.67km to centimeters.\nAnswer: 6549367000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = -10. Let f be (-1)\/a + 12\/10. Let v be 0 + (-2 - -3 - f). Solve v = -6*x + 2*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t - 16*t + 27 + 18*t - 8 - 15*t.\nAnswer: -61*t + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 9 - 9 - 2*f + (f**2 - f**2 - 3*f**2)*(0 - 2 + 4) as w*f + z + o*f**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187 and 136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55893 + -37895. Is (-2)\/((-71996)\/c + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let i(n) = 28724*n + 29318*n - 8 - n**2 - 57498*n + 2. What is q(i(s))?\nAnswer: s**2 - 544*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q - 8*q - 7*q**4 + (-12*q**3 - 65*q + 65*q + (0*q**2 + 2*q**2 - q**2)*(0 + 0 + 2*q))*(q + q + 0*q).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545.1 - -1447.9. What is a rounded to the nearest 10?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13168 (base 13) to base 10.\nAnswer: -35407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 29*d**2 + 137*d - 5. Let f be u(-5). Calculate the highest common factor of 205 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 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: Solve 20*i**3\/7 - 4*i**2\/7 - 16*i\/7 = 0.\nAnswer: -4\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 + 28 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3012 = -2*l + 18560, 5*l = 4*m - 43171. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 4*a**3\/3 + 7*a + 4. Differentiate z(i) with respect to i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - sqrt(1100)*2)**2*-1 + 5.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -74. Let z = 46 - v. Let h(m) = -m**3 - 5*m**2 + 6*m - 1. Let p be h(-6). Which is the closest to p? (a) z (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 0*b**2 - b + 2*b**2 - 5 + (0 + 0 + 2*b)*(b + 3*b - 2*b).\nAnswer: 6*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 28 = 5*u, 2*u - 2*q = 16. Solve f = u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 56. Let r(k) = 3*k + 19. Determine 17*r(h) + 6*x(h).\nAnswer: -21*h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 81 = 12*p + 41*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-1)\/(-6)). Let y = m - -3. Calculate the remainder when (-3)\/(-12) - 3\/(-4) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-15 - -7) + -2 - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3276.935608 less than 73.982?\nAnswer: 3350.917608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14851*k + 48618 + 9461 + 97537 = -7745 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -15*v + 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600 divided by -25?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-135)*(84 - -3). Solve -30*x - 3 = -d*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2756 by -13.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 2*a - 3. Let g(b) = 2*b**2 + 2*b + 2. Let n be 18\/4 + (-2)\/4. Suppose 0 = n*c - 9 + 1. Let f(o) = c*z(o) + 3*g(o). Factor f(i).\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129460118?\nAnswer: 2, 29, 2232071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 1 = -2*u + 14, -5*s = -5*u - 9*s - 34 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1026, -2139, -3252, -4365, -5478, -6591?\n\"Answer: -1113*v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641833455 to the nearest integer?\nAnswer: 25334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891025 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2008, 1985, 1966, 1951, 1940?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -21. Round j to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2708*s**3 - 3*s + 68?\nAnswer: -16248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 428*v + 4750*v - 442*v + 2721*v + 182*v in the form p + c*v and give c.\nAnswer: 7639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 n when four letters picked without replacement from {h: 2, q: 1, t: 1, n: 2, v: 2, y: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/7)*c*c\/(c*c**7))\/(c**(-1))**(-4\/17))**(-4) assuming c is positive.\nAnswer: c**(2764\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58717399 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -25 + (-1 - 0) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5505772?\nAnswer: 2, 1376443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from fffffffffkkf?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1120364 + -1120221.9943. Let l = h - 142. What is l rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -354 - 586. Let p be u\/(-60) + 1\/6. List the prime factors of 16 + 0*4\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/56*(-1309)\/68.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40481 or -40577?\nAnswer: -40481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39407956 is divided by 5629705?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45147431 to the power of 1\/2, to the nearest integer?\nAnswer: 6719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1243 - 25?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 4*l - 9. Let b(j) = 4*j**2 - 5*j - 8. What is 4*b(c) - 5*p(c)?\nAnswer: c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**4 + 2651*m**3 - 22937*m**2 + 30724*m + 9156 = 0.\nAnswer: -1\/4, 2, 7, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1590849517 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2378 and -21\/1100.\nAnswer: 1307900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 - -135.1. Let r = -246 - -248. Let x = -4 + -2. What is the nearest to g in x, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3747 - 462. Let m = c + -1628. Is (22 + -23)*-1*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -27. Solve -v + 5*v = -g*x + 12, 0 = -2*v - 3*x + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 18*p + 240. Suppose -p*l + 5 = -47*l. Solve 7 = 3*a - l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a**5 + 0*a**2 + 61\/3*a**3 + 0*a**4 + 82 + 0*a - 38\/3*a**6. Find the third derivative of r(b) wrt b.\nAnswer: -4560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/6)*n*n**(-6) assuming n is positive.\nAnswer: n**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n - 6. Let y be 3\/n*2*-1. Suppose -2*t = -l + 8, 4*t = -2*l - t - 11. Solve -l*j - y = 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.133 - 291.967. Let f = 249 + n. Let q = 15.3 - f. Round q to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 16 = -4*v, -3*m = -26*v + 31*v + 7. Let o be (1\/2)\/((-9)\/90). Let x(j) = j**2 + 3*j - 2. Let w(y) = -y**2 - 4*y + 3. Calculate m*w(u) + o*x(u).\nAnswer: -u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/637)\/((-325)\/(-195))?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 16 = -12*t + 24*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 19 - 16 = -5. Solve 3*j + 2 + 12 = -m, 0 = -i*m - j - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8 + 14. Suppose h - r = 4*f, 0 = -h - 0*f - 5*f + 2. Solve 2*z - 10 = h*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388691280 a multiple of 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2. Let n be d(3). Let u be (4\/6)\/(3\/n). Let j be (-309)\/(-4) - (-2)\/u. What is j rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -76, -60, -44, -28?\n\"Answer: 16*d - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 569541456 and 2316.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 11243*n - 22538*n + 11295*n + n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Let o be 3\/2*(z - -1). Solve 0*q - q = d + o, 0 = -5*q - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 557*r + 1. Let c(f) = 1113*f + 1. Calculate 3*c(x) - 5*j(x).\nAnswer: 554*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b + 27*b - 31*b.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 4:04 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-253*i - 270*i + 540*i)*(-i + 2*i + 0*i) - i**2 + 0*i**2 + 2*i**2 to the form b + j*i + f*i**2 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -645784380 + 10?\nAnswer: -645784370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -2249.5.\nAnswer: -2252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466747.4 years in centuries?\nAnswer: 4667.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*(sqrt(1377) + 3 + sqrt(1377) + -3 + -3*sqrt(1377)*2) + -1)*3)**2.\nAnswer: 2592*sqrt(17) + 7138372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 491*u - 29982. Give n(-134).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 67 = 2*c + 14, 1 = 2*d + d - 3*c + 7 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 697 and 2624?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 89739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1035388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454371, -908743, -1363117, -1817493, -2271871, -2726251, -3180633?\nAnswer: -3635017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72305 (base 9) to base 4\nAnswer: 23220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8592175259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkkk when four letters picked without replacement from vvvkvkvkkv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16128 and 1035?\nAnswer: 1854720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -791 + 791.6. Let a = -4.4 - r. What is the nearest to 2\/7 in -0.1, a, 103?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Is 20\/(0 - (p - 2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofthfvoxvvx. What is prob of picking 1 h, 1 o, and 1 v?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 5*w**2 + 2*w - 6*w**2)*(-w**2 + 2*w**3 + 5*w**3 - 5*w**3).\nAnswer: -2*w**5 - w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -892 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + k + 10*k**3 + k**4 - 8*k**3 - 3*k**2 to the form l*k**2 + h + d*k**4 + u*k + n*k**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59612616 divided by -29806308.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-18 - (36 - 63))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 388, 854, 1514, 2374?\nAnswer: 3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -4, 2\/39, -4\/67?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 10 = 5*k, -3*g = 2*k - 37 + 12. Suppose -j = -3*j - 5*o + 5, -5*o + g = -j. Suppose 3*y - y - 2*h - 8 = j, 0 = -y + 4*h + 10. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - t**3 + 1 - 8*t**2 + t**2 - 1 to d*t + i*t**2 + m + c*t**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.703051 millilitres in litres?\nAnswer: 0.000703051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.18884kg in milligrams?\nAnswer: 17188840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1991 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:35 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5994 = -236*f - 133 - 245 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-26)*5\/(150\/16). Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -485 not equal to -485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1786140 and -23\/4018815.\nAnswer: 16075260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i + 5*z - 14, z + 38 = i. Let x(v) = 10*v**2 - 119*v + 51. Calculate the remainder when x(12) is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -982.81 rounded to the nearest 10?\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -76.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 - -169. Suppose 3319 - 13535 = -g*o. Is o a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9453*r = -199071 - 260481 + 15261 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13017 is divided by 3084.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.9\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 + 3 + -3. Let d be 108 - (12 + -9 - (5 - 1)). Let n = d + -112. Put i, -5, n in descending order.\nAnswer: i, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12210 + -12201. Solve 12*o - 16 = z*o + 5*s, 3*s + 12 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2598 in -9, 0.4, 0.054?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-147) + (0 - 22\/42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 2. Let a(o) = 2*o**2 + o - 3. Suppose 30 = -23*w + 9*w + 8*w. Calculate w*x(k) + 3*a(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 338965\/60708 - 1\/5059. What is the common denominator of -71\/2 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 + 1 = 0. Suppose -a - 2 = -14. What is the greatest common divisor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63334749 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 328*c**6\/15 - c**3\/3 - 553*c**2\/2 + 215*c. What is the derivative of u(s) wrt s?\nAnswer: 2624*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14634 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooaslnxn. What is prob of sequence xoo?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1839*l - 75. Let v(f) = 263*f - 11. Let c(b) = -27*v(b) + 4*z(b). What is the units digit of c(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let p = 14 - 9. What is the second derivative of -1 + 1 + p*r**5 - 2*r + k*r wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 times 111.93?\nAnswer: -1.34316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/5 + 1384*g**3\/5 - 480237*g**2\/5 + 943906*g\/5 + 3819848\/5 = 0.\nAnswer: -2, 4, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 1644*m**4 + 184860*m**3 + 3194100*m**2 = 0 for m.\nAnswer: -195, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -103. What is the common denominator of 35\/6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584*k + 579*k - 2*n + 266693 = 0, 0 = -4*k + 5*n + 213295. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5940876mg in grams?\nAnswer: 0.0005940876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.734 - -1.234. What is the closest to -0.1 in y, -2, 1\/8, -7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319391064?\nAnswer: 2, 3, 19, 23, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -582289.2 rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 16*t + 0*t)*(-1 + 0 + 3) - t + 2*t - 2*t + (1 + 1 + 0)*(-2*t + t + 2*t) + (-4 + 0 - 1)*(0 + 0 + 2*t) to x + a*t and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6127, 6128, 6127, 6124?\n\"Answer: -q**2 + 4*q + 6124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d. Let s(l) be the third derivative of -5*l**4\/6 - 28*l**2 + l. Give m(s(q)).\nAnswer: -260*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 623853 divided by 3\nAnswer: 207951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -174*g - 92. Let r(w) = 106*w + 45. Let s(h) = 7*r(h) + 4*t(h). Let y(n) = 2*n. Give s(y(p)).\nAnswer: 92*p - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4*l + 1. Let u be p(5). Suppose 30*i - 5 = 25*i. Sort i, u, -5.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from zkaokzosofkaskoko?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*l = -2*w + 6, -4*w - 5*l + 27 = 0. Let x = -9 + 9. Suppose x*k - 2*v + 7 = -w*k, 3*k = -5*v + 28. What is the highest common factor of 9 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*o**3 - 5*a**3*o**2 - 79*a**2*o**4 - 6*o**2 wrt o.\nAnswer: -6*a**3 - 1896*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 3\/5, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-5))\/((-20643)\/(-70)). Let l = x - 89213\/19660. Calculate the common denominator of -45\/8 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 371. Let g be w(-30). Let t = -339 + g. Sort -6, 4, -5, t in increasing order.\nAnswer: -6, -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*d)*(-2*d**2 + 0 + 0) + 165*d**3 - 167*d**3 + 2825 + 2056 + 2*d in the form t + k*d**2 + z*d**3 + f*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -524*q - 2853. Let m be b(-6). Is m > 7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 946078207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from fhfnhhunhufinffnunof.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080893 divided by -2.\nAnswer: -1080893\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q**3 - 4*q**2 - 4*q + 6. Let n(f) = 11*f**3 - 3*f**2 - 3*f + 5. Give 3*h(y) - 4*n(y).\nAnswer: -17*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 + (2 - (2 + 0)). Let k(a) = a**3 + a**2 + a + 2. Let f be k(0). Suppose -f*b - 3*b = -c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*i**2\/2 - 3*i.\nAnswer: -3*i*(7*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3865 + 4?\nAnswer: 7.3865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72, -63, -56, -57, -72?\n\"Answer: -r**3 + 5*r**2 + r - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13514)\/(-580))\/(-233))\/((-39)\/12)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i = 27*i + 25245. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u - 2*u + 2*u - 6*u as r*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1\/1*-21*(-20684)\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.72 in 24.316, -0.4, 1\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156768?\nAnswer: 2, 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3647*i - 1071*i + 2538*i + (5*i - i - 2*i)*(3 - 2 - 2) as d + m*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -4152?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 190708*d**3 - 2*d**2 + 190710*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 44*n**2 + 55*n + 79. What are the prime factors of s(-42)?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6))**(-2\/17)*q**(-12)*q*((q**(-12)*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(-1174\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:02 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000088789 rounded to 7 decimal places?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 488*t**3 + 956*t**3 - 506*t**3.\nAnswer: -38*t**3 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13261313*j**3 - 18268604?\nAnswer: 39783939*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1865 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 380 + -181. Suppose -t = -5*a - 0*a + n, 0 = a - 5*t - 35. Solve -4*i - 5*p = 2 + 7, a = 5*i - 4*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 382 - 425.6. Let c = -43.599417 - w. What is c rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-595)\/55 - 26\/143. Let t = -4 + -10. Let y = j - t. Solve 0 = -5*d + u - 22, 7*d + 2*u = y*d - 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845351 is divided by 922653?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 18*o**2 + 15*o + 40. Let n be d(17). Let t be -88*(-3)\/(n\/1000). Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -67. Let z = f + -30. Does 3 divide 1*4 + (-4 - z\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -8, 1\/4, -0.32, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -676, -990, -1322, -1678, -2064?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**7\/1680 - q**6\/240 + q**5\/80 + 13*q**4\/24 - 9*q**2. Let n(b) be the second derivative of c(b). Solve n(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a + 7. Let u(w) be the third derivative of 21*w**2 - 1\/6*w**3 + 0 + 1\/24*w**4 + 0*w. What is 5*u(q) + x(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 500 = v, v = 3*y + 399 + 106. Is 60 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2 (c) -263 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079422 to five decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/10 - 182*r**3\/15 - 179*r**2\/5 - 178*r\/5 - 28. Factor j(z).\nAnswer: -2*(z + 1)**2*(z + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i + 3875. Let y(w) = 2*w + 1290. What is 5*m(g) - 14*y(g)?\nAnswer: 2*g + 1315","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**3\/6 - 5*h**2\/2 + 7*h. Give m(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5961 + 2*z + 5961.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 547, 67, -720.\nAnswer: -720, -3, 67, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 5*w**3 + 2*w + 4*w**3 - 6*w**3 + 1 as v*w + s + g*w**2 + n*w**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose 21 = 3*b + 5*g, b = -3*g + 11 - c. Put -3, b, -4 in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76787122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 994.63 + -1439.94. Round h to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.1, -25\/7.\nAnswer: -25\/7, -0.6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 17*n**2 + 38*n + 654. Determine v(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let x(l) = 5497443*l - 25665. Let c(o) = 5141*o - 24. Let r(t) = -8555*c(t) + 8*x(t). What is f(r(i))?\nAnswer: -2927521*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5799333 is divided by 254.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 o, and 1 f when four letters picked without replacement from qqqqqqfqofwqqqwfqqfo?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 19 - 8)*(-a**2 + 5*a + 2*a**2 - 3*a**2).\nAnswer: 4*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {p: 7, g: 8, t: 2, b: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 + 460*k - 14734. Determine b(52).\nAnswer: 1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79722.23kg in grams?\nAnswer: 79722230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjnqnnnnggn. What is prob of picking 1 g and 1 j?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.9, -1\/8, 0, 2, -8\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -21296.\nAnswer: 42592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -15, -z + 4*l - 18400012 = z. What is z rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26, 3\/8, -296, -7\/11 in descending order.\nAnswer: 2, 3\/8, -7\/11, -26, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5785424 to the nearest integer?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k**3 - 5*k**2 + 11*k - 6. Let m be i(-5). Suppose 285 - m = -6*s. What is the greatest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 3666.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316370426?\nAnswer: 2, 3, 7, 19, 1649587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/(-168) + (6 - 4064\/672)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1175 and 9633825?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3050 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 + 2206*h**2 - 4 - 1399*h**2 in the form x*h + v*h**2 + q and give v.\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/12 - -1 - (5 + -17)\/144. Is l <= -689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51981574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*c = -67, -60 = -5*u + 5*c - 20. Put -5, u, 3 in increasing order.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 2. Let i(v) = 12*v - 19. Let o be i(2). Suppose 2*b - 3*p = -16 + 5, 4*p - 24 = -2*b. Let m(z) = 4*z**2 + 5. Determine b*m(n) + o*s(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220 - -110?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*o = 18662, 3*l + 4*o + 3542 = 31584. Does 29 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqrm when four letters picked without replacement from mqrmrq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 510414688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3498297?\nAnswer: 3, 11, 227, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17772 is divided by 1002.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 545623.098 to the nearest one thousand.\nAnswer: 546000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 127, 125, 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**4 - 11702*m**3 + 9*m**2 - 78470*m - 82 wrt m.\nAnswer: -108*m**2 - 70212*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose 0 = g*u - 9*u. Let l = -6 + 11. Solve 5*t = -u*t - l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-6)\/36). Let p(n) = m + 0 + n + 5 - 3. Let i(d) = 1. Let v be 2 + (1 - (-3 - -1)). Give v*i(q) - p(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/2)\/1)\/((-315)\/(-84))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 13 - 39 = 0. Find the second derivative of -20*s**4 - 24*s - 22*s**q + 2 + s**4 wrt s.\nAnswer: -492*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -41 + 53. Suppose f*g - 3*g + 23 = 4*t, -4*t = 2*g - 18. Suppose -t*o - 20 = -3*o, 2*k - 75 = 5*o. Solve 5*q - k = -0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3 - 3*l**2\/2 - 2*l + 602. Let b(r) = r**2 - r. Give 2*b(q) - s(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.6 - -21.600000468. What is t rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -14*z**2 + 7 + 2*z**3 + 4*z + 4*z + 5*z**2 - z**3. Let k be v(8). Suppose -f + 41 = k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -53 (b) -1\/2 (c) -1 (d) 1059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -312*p - 532*p**2 + 1058*p**2 - 522*p**2.\nAnswer: 4*p*(p - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*j + 316 = -280*r + 276*r, 0 = 5*j + 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftf. What is prob of sequence ff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35092932 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*s**3*z + 26219*k**3*s*z - 2*k**2*s**3*z + 2*k**2*s**2 + k**2*s*z - 180*s**3 wrt k?\nAnswer: 18*s**3*z + 157314*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -27217 and -27217 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + sqrt(209) + 2*sqrt(209)*-5))\/(sqrt(1584)*-2).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*z - 3 = 0, 0*f = -4*f + 4*z - 4. Let s = 3 - 2.5. Let v = -0.01 - 0.29. What is the second biggest value in s, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0316, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1540 - 300?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1430671178 and 2476?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3 + 27*b**2 - 309*b?\nAnswer: -18*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 11*j**2 + 18*j + 37. What is the remainder when 1751 is divided by u(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 198, 215, 212?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/16)\/(-1 + 1434\/1440). What is the units digit of 128550\/w - (-5)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-392))\/(19\/((-266)\/(-30))).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/(28\/35)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1035?\nAnswer: -103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129993588 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:25 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146393, -162, 0, 1, -2.\nAnswer: -162, -2, 0, 1, 146393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, r: 4}. What is prob of picking 3 r?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 8*o + 5. Let c(r) = 2*r**2 + 17*r + 9. Let z(i) = -2*c(i) + 5*k(i). Let v be z(-5). Let w = 2 - v. Solve 7*m - 2*m - 5 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 4*z**2 - 23*z + 1. Is f(10) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 882\/252 + 14\/(-4). Solve -219*n + 217*n - 12 = h for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.1 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-1 - 12) + 1. Let h be ((-12)\/m)\/((-6)\/(-15)). Let o = 4 - h. Solve c - 2 = 4*x, -c - c = -5*x - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3346)\/2629 - ((-2)\/6)\/(429\/117)?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 7*y - 2. Let o be s(-5). Let l be o\/28 + 1766\/(-7). Let n = l + 475. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -64 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z - 5. Let g(p) = 2*p - 2. Determine f(q) - 3*g(q).\nAnswer: -19*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/6)\/((42\/252)\/(4\/8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 - 9*y - 15. Let x(s) = s**2 + 30*s - 6. Let d be x(-30). Let g be u(d). Calculate the highest common factor of g and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 2. Suppose 0 = -5*z + 16*z - 2178. Let p = z + -187. Calculate the remainder when p is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, -5, -19, -83 in increasing order.\nAnswer: -83, -28, -19, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 808 and 2991014.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let l = -7 - -3. Let v be l\/(-18) + (-11)\/9. Let j(t) = -t**3 + t - 1. Determine v*j(h) + s(h).\nAnswer: h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 12. Let y be (3 - 3)\/2*k. Solve -q - 1 = -y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3 + 57. Suppose -p - 5*a + g = -19, p + a = 19. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 10. Let y be w(7). Suppose 0 = -c + 3*c + 4*z - y, 4*c + 2*z = 54. Solve -2*a - 8 = -5*u + 2, 4*u - c = 3*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.488 - 0.088. Round o to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39201 = -x, -21682 + 87033 = 5*a - x. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63925769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25125341 to the nearest integer?\nAnswer: 5013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 52. Let n be u(17). Let j(b) = -b**2 + b - 1. Let k(y) = -4*y**2 + 5*y - 9. Give n*k(a) - 5*j(a).\nAnswer: a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103957294 and 29702084.\nAnswer: 207914588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p**3 - 15*p**2 - 33*p - 1. Let k be n(-2). Put -2, k, 2 in descending order.\nAnswer: 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (575\/(-25))\/(-23)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + (-15)\/(-6). Suppose -2*l - 4*d + d + 12 = 0, -k*l - 8 = -2*d. List the prime factors of 26 + 6\/2 + l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 59368*p + 18019680.\nAnswer: 4*(p - 14532)*(p - 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177339 is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 3}. What is prob of picking 2 n and 1 u?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 203. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 140*r**2 + 1606*r + 46882. Determine o(124).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/72 and 49\/2790.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x. Let c(j) be the third derivative of -j**4\/2 + 11*j**2. Determine c(l(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 217.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.02 - 3. Let n = -51881\/364 - -1806\/13. Let i = n + 27\/7. Which is the third biggest value? (a) k (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2\/9 (b) 0.2 (c) 45 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5205 + 5?\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -297, 4, 9384?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-3)\/(-3)*93. Suppose -2*u = -5*u - a. Is (23\/(-2))\/(5\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2 - 9*q + 8. Let b be n(5). Suppose -22*p + 2709 = -b*p. Suppose 2 = -4*j + 6, -2*j - p = -s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:53 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s - 4*u + 266, u - 87 = -s. Calculate the remainder when 653 is divided by s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3\/3392, 2 in decreasing order.\nAnswer: 2, 3\/3392, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 21*k**2 - 31*k + 4621. Give x(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1160 - 1149. Calculate the highest common factor of b and 2563.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -43 and 14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1759*p**2. Let k(l) = -l. Determine x(k(u)).\nAnswer: -1759*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105493 = -10076*w + 8805*w for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -8 - (318 - 320)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -156, -348, -602, -924, -1320, -1796?\n\"Answer: -k**3 - 25*k**2 - 110*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose n + 0*n = d. Solve -5*g + 2*h - 15 = n, -6*g + h = -2*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 142*c - 142*c - 11*c**3 to the form y*c + o + d*c**2 + b*c**3 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/65 - 191\/260. Let h = -85931 + 774878\/9. Let o = h + -167. Which is the smallest value? (a) -2\/11 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31747, 31895, 32043?\n\"Answer: 148*y + 31599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/(-3015)*180\/(-16) and -45\/2?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12000 and 5677500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from {d: 1, b: 7, e: 3, t: 1}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55089, -110165, -165241?\nAnswer: -220317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2121457985 + 13.8\nAnswer: 2121457998.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**4 + f**3 - f**2 - f + 1. Let j(a) = 2*a**5 + 32*a**4 + 98*a**3 + 86*a**2 - 2*a + 2. Let v(q) = j(q) - 2*t(q). Suppose v(b) = 0. Calculate b.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207 a factor of 875074093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.7. Let q = 52 + -51.6. Which is the nearest to -2\/5? (a) q (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19892624*q**2*r + 321273*q**2 + 9*q + 2 wrt r.\nAnswer: -19892624*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -79*d + 476. Let l be f(6). Solve -l*b - 12 = -4*h, 3*h - 46 + 15 = -4*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8648957*z**2 + 114682828*z.\nAnswer: 17297914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*j + 237*j - 20384 = 331*j + 318*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {y: 2, s: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*c**2 - c + 0.\nAnswer: c*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -0. Let t = -10 - b. Let n = t - -10. Let o(a) = -2*a + 2. What is o(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29533.1*-3.3\nAnswer: -97459.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270265 is divided by 1477.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36401 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27052 - -27063.111. What is v rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32332 - 4397087\/136. Calculate the common denominator of o and -113\/18.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/60 + 2*o**3 + 41*o. Let j(h) be the second derivative of c(h). Let a(q) = -5*q. Determine a(j(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 1. Let r be k(-2). Solve 0*j - 5*j - y = -7, 5*j + r*y = 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5670)\/50 + 4\/10. Calculate the common denominator of -25\/28 and (q\/(-5))\/((-36)\/15).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*u - 4\/7*u**5 + 4\/7 + 8\/7*u**2 - 8\/7*u**3 - 12\/7*u**4.\nAnswer: -4*(u - 1)*(u + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550067 to the power of 1\/2, to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.47 + -521.53. Let c = 550 + x. What is the closest to 1 in -6, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2\/3, -4018, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 180961343 to the power of 1\/3, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 31*g**2 + 2*g + 71. Let j be p(-31). Let a be j - ((-28)\/(-7) + -9). Solve -b - 6 = -5*q + a, 0 = -5*q + 2*b + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3286 rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7502 - 7521. Sort c, -1.5, 3.\nAnswer: c, -1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a + 4. Let w(s) = -s**2 + 6*s - 5. Let q be w(5). Let g be x(q). Let p(r) = -3*r**2 - g*r - 2*r**2 + 14*r**2. Let l(z) = z. What is l(p(t))?\nAnswer: 9*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79713, 79734, 79799, 79926, 80133, 80438, 80859?\nAnswer: 81414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - 1 - (-273)\/21. Suppose -64 = -j*p - 40. Let o be -3*3\/(-27)*15. Solve o*d = p*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 11, 60, 121, 194, 279, 376?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 282 - 162. What is the tens digit of (-6)\/5*q\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 - 327. Let s = v + 820\/7. Put -1, s, -4 in ascending order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5948 - 1449. Is u less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 4 (c) -464919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115.553 and 1.05.\nAnswer: 121.33065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9552343*o**2. Let s(j) = -8*j. Give s(u(h)).\nAnswer: -76418744*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 9. Let z be l(6). Suppose 2*g = -z - 9. Let n = g - -14. Calculate the highest common divisor of 64 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -200\/247?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924202.04 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, r: 2}. Give prob of picking 1 k and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-60))\/((-18)\/6 + 51\/9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.354 + 0.3619. Round z to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.637 + 1.067. Which is the nearest to -2? (a) 0.4 (b) -5 (c) x (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*o - 22828 = 5825, 0 = -o - 8. List the prime factors of y.\nAnswer: 7, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = 10. Let s be (k\/4)\/(1\/6). Which is the third smallest value? (a) -1\/8 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3827819827 to 2 decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21*w + 1. What are the prime factors of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 4*b + 5*b)*(-4 - b + 4)*(38*b**2 - 64*b**2 + 50*b**2) as u*b**3 + j*b + h*b**4 + y*b**2 + p and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.9 + -69.9. Let b = 57.5 + q. What is the smallest value in -5, 4, -2\/9, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 1. Let h(p) = -3*p**2 + 38*p + 4. Calculate -4*f(r) + h(r).\nAnswer: r**2 + 38*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(468) + -1 + sqrt(468) + -1 + 5*(-1 + sqrt(468) + -1))**2.\nAnswer: -69471 + 3780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1622704829 + -1622704920.99999754. Let l = -92 - t. What is l rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -1\/4*z**2 + 0*z - 3 + 1\/12*z**3. Factor u(w).\nAnswer: w*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 30?\nAnswer: 32\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13483 and -304.858?\nAnswer: 13787.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - (0 - (5 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22794790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202219656 to the nearest integer?\nAnswer: 14220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(3\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*v - 1 + 37*v - 69*v - 2*v**2 + 14*v**3 as d + t*v**2 + o*v**3 + w*v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -61. What is the second derivative of 4*z + 3*z**5 + g*z**5 - 21*z**5 + 4*z wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -411, -408, -405?\n\"Answer: 3*u - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 5. Let p be 126\/(-9)*2\/4. What is the remainder when 61 is divided by y(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2451456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/30 + 19*i**3\/2 - 49*i**2. Let j be n(0). Which is smaller: j or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 368, -0.4, -0.1, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 202779071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + 0) - -2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**41\/(d\/d**(-2))**(3\/4))\/((d*d**(1\/4))**(8\/13)*(d\/d**1)\/(d\/(d\/(d\/(d\/(d\/(d\/(d\/d**(1\/2)*d))))*d)))) assuming d is positive.\nAnswer: d**(4237\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 137759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28084771.13 plus 11?\nAnswer: -28084760.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 409142389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1.92, 99 in descending order.\nAnswer: 99, 0.2, -1.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1 - x + 6 - 4. Let v be a(0). Suppose 3*o = -t + 43, 3*t = -v*o + 5*t + 31. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times 85?\nAnswer: -161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 26, 63, 136, 257?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1839987895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*o + 79, -f + 18 = -0*f + 3*o. What is the highest common factor of f and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**4*b**2 - 14*a**3*b**3 + 3*a*b**3 - 6*a*b**2 + 2*a wrt a?\nAnswer: 48*a**2*b**2 - 84*a*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3 and -23\/1007.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206703\/8 smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 3*u**2 + 2*u + 4. Determine k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 28*k**2 + 40*k + 2489. What is u(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*k - 65*k - 56. Suppose q - 5 = -4*q. What is the smallest common multiple of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 45, 54, 63, 72, 81?\n\"Answer: 9*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*x = -207, -2*x = -5*x + 12. What is the highest common divisor of l and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.049 - -0.451. Let c(d) = 3*d**2 - 48*d + 50. Let w be c(15). Let a = 51\/152 + -4\/19. Sort k, a, 4, w in increasing order.\nAnswer: a, k, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6053 * -0.01498.\nAnswer: 0.068987394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 - 35*u - 220 = 0.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*q - 1 + 3)*(-5 - 6 + 5).\nAnswer: -18*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:41 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - q - 12, 386*i = 381*i + 2*q - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, 0.1, 2\/5, -2351, -0.2 in descending order.\nAnswer: 2\/5, 0.1, -0.2, -125, -2351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(((-16)\/6)\/(-4)). Let o be ((-17)\/2)\/((-4)\/(-8)). Let s = o - h. Let u(f) = -2*f + 2. Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 3. Suppose 5*c + 2*j + 4 = -2*j, 0 = 4*c + 4*j + 4. Let o = 0 - 1. Sort o, c, s in decreasing order.\nAnswer: s, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30048?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*i + 15 = -2*i, 3*x - 30 = 4*i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10, 5, 1, 4, 19 in descending order.\nAnswer: 19, 7, 5, 4, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 5*v)*(-v + v - v) + (5*v - 4*v - 2*v)*(-2*v + 0*v + 0*v) + (-6*v - 2*v + 0*v)*(-4*v - v - v).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 12*n**2 - 14*n - 1. Calculate the remainder when h(-12) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 7*u + 2*u + 6*u + 55 - 3*u to s + v*u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 50 - (7 - (5 - 15) - 7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253 + -251. Suppose -92 + 36 = -4*j. Suppose 4*q - 26 = -v*c + j, 8 = 2*q - 2*c. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**3 - u**2 - u + 1. Let r be ((-32)\/48)\/((-2)\/3). Let s be h(r). Let m be (-9)\/(-2)*12\/s. Is m greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 44*k**3 + 4*k**2 - 19*k + 5. Does 16 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:03 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 278\/(-8) + (-10)\/40. Let b = w - -220. Let l = 318 - b. Calculate the greatest common factor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.96516 plus 0.2?\nAnswer: 24.16516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -778.25 (b) 0.1 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*l - 6 = -0*b, 10 = -5*l. Let k be (4 - 5)*2\/b. Is 3 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20682 = 173*t + 26218 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and (-31)\/(341\/(-16720)) + 0?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/(i\/i**(-2\/15)))**(-6\/25) assuming i is positive.\nAnswer: i**(-356\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39628 is divided by 426.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22100 and 835900.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(7)*-1 - sqrt(7)))**2*2.\nAnswer: 32*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 - -337. Which is greater: 148 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 + 2 = 0. Let y = -6 + q. Which is smaller: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y - 7\/2*y**3 - 25\/4*y**2 + 1 = 0?\nAnswer: -2, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4927 to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3 - 713*a**2 - 132271*a - 1827015 = 0?\nAnswer: -349, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*g - 9*g - 7*g + 0 - 2*g + 0 + 0*g - 4*g + 3*g + (-g - 3*g + 6*g)*(3 + 1 - 2).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 8*x**2 + 0*x**2 + 7*x**2)*((3 + 3 + 1)*(-5*x + 3*x + 3*x) + x + 0*x + x) as f*x**2 + m*x**3 + a*x + o and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 4777525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99690 is divided by 112?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*x - 5*u + 52, 204 = -4*x - 3*u + 100 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = 5*n + 5*l, -3*l - 15 = 0. What is the nearest to -1\/3 in n, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 52. Let r = -7 - -15. Is (b + 1)*(-6)\/r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12537.9969977 + -12538. Let q = -0.003 - g. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 + 584\/3. Calculate the common denominator of z and -71\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327587*t**3*w**4 + 11*t**3*w**2 + 20*w**2 + 9 wrt w?\nAnswer: 7862088*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) + -37*(-12)\/(-60)*-1. Suppose 6 = i + 2*g - 3, -2*i - 5*g + 22 = 0. Calculate the highest common divisor of i and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -817 - -9846?\nAnswer: 902b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppmpptp. Give prob of picking 3 p and 1 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p + p - 149*p**6 - 12*p**2 + 23*p**6 - 4*p wrt p?\nAnswer: -15120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z - 3. Suppose -5*n + 3*n - 5*i = -28, 89 = 5*n + z*i. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2\/11, -1\/8, -1, -67\/58?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, 1 c, and 1 h when four letters picked without replacement from {d: 2, h: 2, n: 4, c: 1, o: 3}?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 0 + (-2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33310155 (base 6) in base 8?\nAnswer: -3651667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 4*i + 2. Is v(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0 + 0*m**5 + 0*m**2 + 3*m + 1\/6*m**4 + 1\/30*m**6 + 0*m**3. What is the third derivative of n(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0) + 210706\/20. Let u = 10526 - g. Calculate the common denominator of u and (9\/12)\/(7 - (-930)\/(-138)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 33*i - 21*i + 40*i. Let d(a) = 689*a**2 - 1422*a**2 + 731*a**2. Give x(d(c)).\nAnswer: -104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/2835 + -1961\/3399165. Which is the biggest value? (a) 4 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (9 - 4 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1638 and 8218?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.65 + 1.45. Put -0.4, a, 0.2, 2\/9 in descending order.\nAnswer: a, 2\/9, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 16*w**2 - w - 17. Let y be d(-16). Let i(q) = 3*q**2. Let k be i(-1). Which is the second biggest value? (a) k (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 988 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2. Let p(w) = w + 1. Let i = 15 - 15. Let s = i + -1. Calculate s*h(c) + 2*p(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - g + 0 + (-g + 0*g - g)*(4 + 0 - 3) + g + 2*g + g + 0*g - 2*g - 4*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4834935 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100000 + 10101101?\nAnswer: -100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 30709\/3, -0.03, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, -2 in descending order.\nAnswer: 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1986*p - 114234 = -540*p for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94137, 94147, 94161, 94179, 94201, 94227, 94257?\n\"Answer: 2*l**2 + 4*l + 94131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 10 + 77 + 120 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*j - j. Let r(d) = -d**3 + 2*d**2. Let v be r(2). Solve -j = c + h, c + 2*c + 4*h + 23 = v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*(a**(-4)*a)\/a)*a\/((a\/a**(-2\/9))\/a)*a)**38)**28)**(-6\/5) assuming a is positive.\nAnswer: a**(-110656\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 5 - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from dzdmdfdddfzfzdzz.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309\/7 - -13919\/315. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-2) + 1*-2. Let n be 2\/(-4) - (-9)\/l. What is the third biggest value in n, 0.3, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2)*-2*-5)**2 + sqrt(2).\nAnswer: sqrt(2) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51567 + -4?\nAnswer: -51572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**13\/i)\/i*i))\/(i**(2\/7)\/i))\/(i**(-4)\/i)**(2\/3) assuming i is positive.\nAnswer: i**(-146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 - 8*s - 4. Calculate the remainder when 12 is divided by c(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3485494 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 33 - 17) + -34 + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/19, 12, 115.\nAnswer: 1\/19, 4, 12, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by ((-1044)\/162)\/(2\/(-9)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7.62. Let o = 0 - -0.08. Let f = l + o. Which is the nearest to -0.1? (a) f (b) -1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 16, -1, -34, -89, -172?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/63801 and -53\/150?\nAnswer: 3190050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**2 + 0*v**2)*(137709 + 921*v**2 - 137709)*(4 + 6 - 4).\nAnswer: -11052*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*j - 385, 2*j = 2*d + 4*j - 820. Let t = d - 3. Suppose 195 + t = 3*c. Round c to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*k**3 + 3 - 3)*(2 - 1 + 0) - k**3 - 3*k**3 + 3*k**3)*(-k + 0*k + 5*k) to c + m*k**4 + u*k**2 + y*k + r*k**3 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + o - 20 - 3*o**2 + 18 + 2*o**2 - 8*o**3 as m*o + n*o**2 + b*o**3 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18578713 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + (((-63)\/(-12))\/7 - (-5137)\/(-220))\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and (5\/12)\/5*-31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -43.5. Let d = a - 0. Let i = d + -7.5000113. Round i to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 9*c - 11*c. Let i be ((-6)\/c)\/(-6 + 5). Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 2*q**5\/55 - q**4\/22 + 4. Factor n(k).\nAnswer: 2*k**3*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382608508 to the power of 1\/3, to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301884.\nAnswer: 2, 3, 11, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 2. Let d be h(2). Let f be 2 + (-3 - (d - -6)). What is the tens digit of 8 + f + (-30)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-1500)\/(-8)))\/(6\/27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)\/n)**(19\/6)*(n*(((n*n**(2\/7))\/n)\/n)\/n*n*n)**(-37) assuming n is positive.\nAnswer: n**(-2131\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 15 = 66 + 103 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87365991833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 2483. What are the prime factors of u?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 - 207. Calculate the highest common factor of a and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**4 + w**3 + 8*w + 4 wrt w?\nAnswer: -48*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 288 - -3542. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 45*t + 1. Let a be h(1). Let v = -33 + a. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from glhghyeyk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2. Let z(q) be the third derivative of 11*q**6\/360 - q**4\/24 - 3*q**3 + 6*q**2. Let y(f) be the second derivative of z(f). Determine y(k(g)).\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100000010001 - -11?\nAnswer: -100010100000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499443 is divided by 498.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/110 - n**4\/22 + 2*n**3\/33 + 38*n. Suppose d(k) = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190584765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234380 - 165943. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 33 - 3. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147, 290, 433, 576, 719, 862?\n\"Answer: 143*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*y - y. Suppose -6 = 2*n, 2*r - 7 = n + y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/837936 and -35\/139656.\nAnswer: 837936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 176 = 6*d - 4*d, 0 = -3*x. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -126968?\nAnswer: 195\/126968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(84) + sqrt(84) + -2*-2*sqrt(84) + sqrt(84)))\/(-3*(sqrt(147) - sqrt(147)*4*-3 - sqrt(147))))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13770760 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70 - -15ac2?\nAnswer: 15b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314*s = -1304*s + r + 12, -s - 5*r = 9 + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 43896477 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 474*a**6\/5 - a**4\/6 + a**3\/6 + 3725*a**2\/2 + 1373*a. What is the third derivative of v(b) wrt b?\nAnswer: 68256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29146352 is divided by 5868.\nAnswer: 5864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82498 is divided by 330?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/60 - 3*r**4\/8 - r**3\/3 + 15*r**2. Is t(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586181, -583940, -581697, -579452?\nAnswer: -577205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*52551.5.\nAnswer: 2469920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 0*r + 44*r**3 - 41*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urlwlwrrr. Give prob of picking 1 u, 1 r, and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*s + 5602358*g**2 - 1782*g*s + 4*g - 12 wrt g.\nAnswer: -12*g*s + 11204716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*c + 48*c - 9. Suppose c*j + 17 + 74 = y, 3*j - 67 = -y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 2\/(-8) + (-109)\/(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 973, 1745, 2521, 3301, 4085, 4873?\nAnswer: 5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 6:16 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62637898 and 0.1?\nAnswer: -6263789.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35311.403 rounded to the nearest 100?\nAnswer: -35300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1.2, -2\/3, 2, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-138567)*-34)\/(2\/(-13)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24164 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(((z\/(z*z*z**(5\/4)))\/z)\/z*z)\/z)\/z**(-15))\/(((z\/(z\/(z\/z**(1\/3))))\/z)\/(z*z*z**(-1\/19))) assuming z is positive.\nAnswer: z**(3199\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 50. Let v be j(-24). Suppose -279 - 145 = v*x. Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k - 162. Let r be d(41). Calculate the highest common divisor of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 272 + 3?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 14*g - 402. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2*v*y + 2*j**2*y**2 - 157*j**2 + 279*v*y**2 wrt v.\nAnswer: j**2*y + 279*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 700, 86, -522, -1124?\n\"Answer: 3*m**2 - 623*m + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 86\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 9*y - 4 + y**2 + y.\nAnswer: -4*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 11. Let f be y(9). Suppose -3*l - h + 6*h + 359 = 0, f*l - 5*h - 236 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) + -4 - sqrt(11)) + (sqrt(132)*-2)\/sqrt(12).\nAnswer: -9 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 196 - 14 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2.3 (b) 0.2 (c) 15\/2 (d) 5 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/40 + 1\/5. Let z(h) be the third derivative of 3*h**2 + 0*h**3 + 0*h - 1\/60*h**5 + 0 + p*h**4. What is the second derivative of z(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12560*o**2 + 366*o**3 + 12560*o**2 + (-4*o**2 + 6*o**2 + o**2 + (-o - 2*o + 4*o)*(3*o - 3*o + o))*(o + 1 - 1).\nAnswer: 370*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -45. Let p = x + 22. Which is the second smallest value? (a) 0.1 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v + 31 = -5*m, 3*v + 3*m + 6 = 0. Suppose 0 = 5*s - 7*s + 4. Find the third derivative of 0 + a**s - 4 + 4 - 2*a**v wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/36*-3*-3. Let d be 0 + (p\/8)\/(-1). Which is the third biggest value? (a) 7.3 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/6 - v**4\/6 - v**3 + 7*v**2\/3 - 11*v\/6 + 1\/2.\nAnswer: (v - 1)**4*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 697189, 697177, 697165, 697153, 697141, 697129?\nAnswer: 697117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1293295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/86, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**3 + 8 - 8*g**4 - 10*g**2 + 4*g**5 - 28*g + 0*g + 42*g**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2467.1 or -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86303*g**3 - 43165*g**3 - 43166*g**3.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4543977.66 rounded to the nearest ten thousand?\nAnswer: -4540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*l - 790*o + 792*o, 4*o = -5*l - 26. Let c be -2 + (-2 - 48\/(-15)). What is the closest to l in -87, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 2407?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**6\/540 - j**5\/90 + 2*j**3\/3 - 13. Let m(b) be the third derivative of u(b). Factor m(i).\nAnswer: 2*i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(5 + -2 + -1). Let k be (2\/2)\/(-1)*l. Suppose 2*u - 2 - k = 0, -2*u = 3*q - 16. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2324645 litres?\nAnswer: 232.4645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 + 1 = 0. Suppose -4*m + 245 = -j, -g*m - j + 51 + 76 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**3*p - 107359*h*p + 2483706*p wrt h.\nAnswer: -12*h**2*p - 107359*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - 2 - (4 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1813 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 16 - 4 = 2*h, 3*g - 6 = 0. Let m = 22 - h. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i*i*i*i**0*i)\/i*i*i)**(-12)\/(i**(2\/3)\/i**6))**(-1\/45) assuming i is positive.\nAnswer: i**(272\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*a - 2)*(4 + 0 + 0) + 267 + 2*a + 663 - 272)*(-2 + 2 + 2).\nAnswer: -12*a + 1316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (117\/(-6))\/(((-7)\/728)\/1). Suppose 9*n = 3*n + m. What is the highest common divisor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 19*m**4\/12 + 11*m**3\/6 + 2*m**2. What is the remainder when s(2) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 20*w**2 - 20*w + 43. What is the remainder when 649 is divided by b(3)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9 = q. Find the second derivative of 11 - c - 11 + q*c**3 wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12 + 33\/126. Suppose -5*b + 5 + 20 = 0. Suppose -2*y + 19 = -b*r, -3*r + 2*y = r + 16. Put 0, z, r in increasing order.\nAnswer: r, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 1. Let u(c) = c**2 + 4*c - 2. What is 2*p(m) + u(m)?\nAnswer: -m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/((b\/(b*b**(-1)))\/b))\/b*b**1)\/(b**11)**(-2\/11) assuming b is positive.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 2, -13, -34, -61?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 49*u + 3. Suppose l + 4*l = 20. Let s(a) = -49*a - 4. Let j(v) = l*k(v) + 3*s(v). What is the units digit of j(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(2*sqrt(11)) + (sqrt(52)\/sqrt(4) + sqrt(13))*-2.\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 41*p**7\/210 - p**6\/3 + p**4\/24 + 1774*p**3\/3 + 8181*p**2. Find the second derivative of v(c) wrt c.\nAnswer: 492*c**2 - 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5319283 + 0.8537.\nAnswer: -5319282.1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - 4*h - 5. Suppose 4*g + 14 = -2*o, -10 = -0*o + 3*o - 5*g. Let u be b(o). Let w = u - 38. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2982 and -2981 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccgcccgcccccgc. What is prob of picking 3 c and 1 g?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 5*i**2 + 12*i + 3. Let c be v(-4). Suppose 4*w + 8*z = 11*z + 588, -138 = -w + c*z. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13254411 (base 6) to base 3\nAnswer: 211111121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d3c5d + -4?\nAnswer: -d3c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.005 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6367.639 years?\nAnswer: 6.367639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) 1 (c) -414 (d) 2\/7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89\/71 + 463\/426. Put z, -1, -1\/2, -3\/2 in descending order.\nAnswer: z, -1\/2, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {k: 4, h: 6, x: 4, d: 4, q: 2}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -396 + 405. Let w = y - 13. Sort -6, -2, w, 5 in ascending order.\nAnswer: -6, w, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5.47\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -276.95.\nAnswer: -27.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-9))\/((11\/((-594)\/84))\/(1337\/(-573)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3 + 3)*(-2 + 3 + 1) + (0*z - 2*z + z)*(z - z + 3*z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2499.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/120)\/(80\/100).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 25388293\nAnswer: 5\/25388293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-22) + (-2077038)\/(-43769)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:02 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/120 - 2*o**5\/15 - 7*o**4\/24 - 4*o**3\/3 + 65*o**2\/2 + 24*o. Let d(y) be the first derivative of i(y). Determine d(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 9*n - 28*n - 20*n in the form g + d*n and give d.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 2*t - 10. Let z(v) = -v**3 - 3*v**2 + 7*v + 31. Determine 7*p(o) + 2*z(o).\nAnswer: -2*o**3 + o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5763*u + 876126. Calculate v(-152).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26406?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c = -55. Calculate the remainder when 97 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95743 (base 10) in base 7?\nAnswer: 546064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112375, -112377, -112379, -112381, -112383?\n\"Answer: -2*o - 112373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhhchhriiihhhcrc. What is prob of picking 1 c and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20 and 137\/159342.\nAnswer: 1593420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, 3, 0 in increasing order.\nAnswer: -3, 0, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 - u - 4. Let f be n(3). Suppose 0 = -z + b + 6, 0 = -3*z - f*b + 2 + 16. What are the prime factors of (-1 + -1 + 3)*z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 3*m - 1, -37*m + 37*m - 5 = m for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*x = -7, -3*p - 2*x + 6 = -5*x. Solve -3*t - 5*j - 22 = 0, t + 2*j + 20 = -p*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -77. Let f(n) = -3*n - t - 2 + 5*n - 3. Let o(v) = -1. What is -f(s) + 4*o(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**3 - 31*w**2\/2 - 5241*w. Determine z(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.706 and -752189.\nAnswer: -1283234.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354 + -20?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 2. Let f be (w - 9)\/(3\/(-222)). Let i(j) = 2*j**2 + 2*j + f*j**3 + 1 - 824*j**3 - 4*j. Calculate i(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2059*i**3 + 11*i**2 + 12*i + 1. What is the thousands digit of n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from kpypkjjukyjukypkkj.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230776680 by -4.\nAnswer: -57694170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1*2*sqrt(2057) + -5 - ((sqrt(68)*1 + sqrt(68))\/sqrt(4) + sqrt(2057)*1)) + -3 + -2)**2.\nAnswer: -400*sqrt(17) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12251527.\nAnswer: 59, 207653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from swsspwwwsstwttppw.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 127 + 127 to a*k + z and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 6*m + 15 = 0, 0 = 5*z - 4*m - 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((9075\/(-15))\/55)\/((-10)\/(-2))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 24*c - 11647 = 0. Let p = -607 + c. Solve 3 = p*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2*h - 1. Let b be v(2). Suppose f + 23 = 3*c, b = -4*c - 5*f + 59. Let q = c - 4. Solve -q*t - z = 25, 5*t - 2*t + z = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(105\/(-3790))*3\/252. Let f = b - -13\/126. What is the common denominator of -26\/21 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 25\/10 + -5)\/2. What is the fourth smallest value in -5, -4, -5\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*y - 87 = 132*y. Let q = y - 85. Let k(c) = -c**2 + 4*c - 1. Let v be k(q). Sort 1, v, -4.\nAnswer: -4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and 9.4.\nAnswer: -592.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23090 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: -50 (base 15) to base 5\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17 = -r. Let w(h) = -7*h**3 - 6*h**2. Let v be ((-1)\/10)\/((-54)\/(-405))*-8. Let u(b) = -20*b**3 - 17*b**2. Give r*w(c) + v*u(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 1.2. Let l = 11.2 + -11. Let b = -0.2 + l. What is the closest to c in 1, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 7\/6, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14190 divided by 11?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i**2 + 38*i + 42. Let y be d(-12). Is 1313 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527149.2 - -527148.1999924. Let h = 0.4445 - -0.5555. Let v = o + h. Round v to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 215\/4. Let b = -1.8 - 6.2. Let j = b - -5. Put j, q, 1\/2 in ascending order.\nAnswer: j, q, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4094, 6263, 8432, 10601, 12770, 14939?\nAnswer: 17108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11382 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/5)\/r**(-4\/7) assuming r is positive.\nAnswer: r**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Let g = -85 + 91. Let p be 4 - (g - (5 + -2)). Put h, -5, p in descending order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2442 = -8*s + 2482 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -531*k - 4775. Let m be p(-9). Solve -33\/5*a**3 - a**5 + 0 - 28\/5*a**m + 18\/5*a**2 + 0*a = 0 for a.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, 0.1, -0.3, -34\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12958661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*c + j + 110, 4*c = j + 85. Let t = -1837 - -1840. Calculate the lowest common multiple of c and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219.27 + -5.27. Let p = -214.4 + w. Let j = 0.27 - -0.03. Which is the nearest to j? (a) -1\/3 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 4*n - 39431 = -11*u, -7871 = -u - 3*n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239 - 3*r + 239)*(r**2 + r**2 + r**2) - 2*r**3 - 3*r**3 + 2*r + 4*r**3 + 3*r**3 - r**3 - r**3.\nAnswer: -9*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -6. Suppose 0 = 3*l - 6 + 3, -3*w - g = -3*l. Let p(b) = -14*b. Is p(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5 (c) -16 (d) 2\/71 (e) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**2 + 0*x**2 + 0*x**2)*(2*x - 3*x + 0*x)*(-68*x + 36*x + 52*x - 1).\nAnswer: -240*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 287*f + 30163445 - 30162297 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 5*t - 17, -2*t = -2. Let p(a) = 2*a - l*a + 9 + 3*a. List the prime factors of p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 21 - 5 = 0. Suppose t*a = 6*a - 2962. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -6. Suppose -2*y = 1 - 9. Suppose -t = -2*u - 13, 2*t - u - q = y. Solve f = -7 + t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5\/4 (c) 2\/15 (d) 0 (e) 6450\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let n be (4\/32*2)\/(12\/(-16)). What is the smallest value in 3\/7, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 111?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1152) - sqrt(3456)\/sqrt(3))\/((sqrt(144) - sqrt(144)*2 - sqrt(144)) + sqrt(72)\/sqrt(8)*4).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-8801)\/(-228826))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 3. Let g(f) = 4*f + 6. Let j(v) = -6*g(v) + 13*u(v). Let t(q) = 4*q + 7. Give 9*j(c) - 4*t(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5 - 2414*f**4 + 56916*f**3 - 156284*f**2 + 151466*f - 49686 = 0.\nAnswer: 1, 21, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 w when three letters picked without replacement from {e: 1, g: 1, w: 2, y: 1, t: 1, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*s + 48*s - 92*s + 26287. Solve 0 = 8*g + s - 271 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197680 - 97031. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2206596 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40000 divided by 5\nAnswer: -8000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/33023?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*d - d - 134 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:16 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2 + 25 - 5*k - k**3 - 20*k**2 - 6. Let r be h(-18). Let l = -14497\/27 - r. Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73595848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.035 (b) -115 (c) 51 (d) -0.4 (e) 1 (f) -0.2 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3664752042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 - 8*z**2 + 9*z. Let f(l) = 11*l**3 + 23*l**2 - 26*l. What is -6*f(g) - 17*n(g)?\nAnswer: 2*g**3 - 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 66.2?\nAnswer: 1125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 16. Suppose -26*x = -23*x - 75. Calculate the remainder when x is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 53*v. Let i(x) = -69*x + 43*x + 26*x + 9*x**2. Give f(i(w)).\nAnswer: 477*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 8*d**2 + d + 18. Let c be l(-8). Solve -2 = 2*w - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 12*w**2 + 10*w + 2. Let c be f(12). Let l = 106 - c. Let i be (1*8)\/(-14 - l). Solve 2*o = -4, 4 = -4*t - i*o - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39503354850 rounded to the nearest one million?\nAnswer: 39503000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - (6 + -3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66585 divided by -22195.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1526678*r - 12213451. Determine n(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/593 or 1?\nAnswer: 38\/593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/376542785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*r + 5, -n - 5*r - 19 = 7. Let c(q) = 2*q**2 + q + 1. Let j be c(n). Factor 0*m + 0 + 2\/9*m**j + 2\/9*m**3.\nAnswer: 2*m**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 136878\nAnswer: -273756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 39. Suppose 0 = 5*k + b + 7, 3*b - a = k - 8. Let y(u) = -u**3 - 2*u**2 - u - 2. What is y(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186728 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452 (base 6) to base 14.\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/2*5\/35. Let t = 528.4 - 529.2. Which is the closest to 2? (a) t (b) -4 (c) w (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**7\/840 + g**5\/240 + 3*g**2. Factor t(h).\nAnswer: -h**2*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*n**3 + 130*n**2 - 228 - 130*n**2 + 230 in the form z*n + y*n**3 + i + h*n**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 27. Let n = 51 - w. Let q be (8\/n + 0)\/(4\/(-8)). Solve 20 = 5*g, r + 0*g - g + q = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57184.78ms?\nAnswer: 57184780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67\/13, -2.4418, 7 in decreasing order.\nAnswer: 7, 67\/13, -2.4418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*h**3 - 490*h**3 - 1212*h**3 - 948*h**3.\nAnswer: -2197*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 106555 and 5.\nAnswer: 106560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m = -105*m - 225. Is m equal to -16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122010 - -100?\nAnswer: 122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 176165622?\nAnswer: 176165623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i**2 - 36*i + 26. Let j(h) = 10*h**2 - 30*h + 25. Let l(v) = -2*b(v) + 3*j(v). Calculate l(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774377135?\nAnswer: 3, 5, 47, 838949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 46\/161 - (-813)\/21.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6672952 and 73359.\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 5*j = -9*l + 65 - 31, l + 7*j = 1 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 58. Let g = z - -4. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-357)\/(-153)*(-4)\/28?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 43*h + 451 = 48*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36685*f + 100729*f + 475923*f.\nAnswer: 613337*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + s = 26, -2 - 19 = -5*m + 4*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21978, 43677, 65380, 87087, 108798, 130513?\n\"Answer: 2*s**2 + 21693*s + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6) - 1)\/(4923\/251073).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0245 plus -1394496750?\nAnswer: -1394496746.9755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*q + 10, q = 5*d - 4*q - 10. Suppose -f + d*f = 11000000. What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.236?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + -3 + (11 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b81c + -15?\nAnswer: -1b833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)\/l)**(-10)*((l*l*l**1)\/l)\/l**(-1\/3) assuming l is positive.\nAnswer: l**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2389*a**2 - 199 + 138 + 61.\nAnswer: -2389*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/7115 - 192137\/113840. Find the common denominator of a and -3 + (195\/(-2))\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8983 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2002 divided by -286.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010106 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*t - 6, -3*n + 6*n + 8 = t. Suppose t*p = -0*p + 8. Solve -24 + p = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 42*z + 10. Let k be r(-4). Which is smaller: -157 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61337, -61338, -61339, -61340, -61341?\n\"Answer: -u - 61336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57555577003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 48*f - 11475. What is the greatest common divisor of f and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 + 20*o**2. Let k(q) = 3*q**3 - 10*q**2. What is 7*k(r) + 4*v(r)?\nAnswer: r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1565 + -1563. Which is the nearest to -1\/2? (a) 0.4 (b) s (c) 1\/5 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.04 and 18912.\nAnswer: -208788.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(-6\/5)))\/(j**(-19)\/j)*(j*j**(-27)*j)\/(j\/(j*j\/(j\/(j*j**(-29)\/j)))) assuming j is positive.\nAnswer: j**(-171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6548 divided by 3274.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 608147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 153*d**4 - 109*d**4 + 142*d**4 + (-d + d + d**2)*(-3*d**2 + 0 + 0) - 14 - 2*d**4 + 3*d**2 + 14.\nAnswer: 181*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 980981, 980978, 980975?\n\"Answer: -3*r + 980984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 40*t**2 + 130*t**2 - 19*t**2 + 2*t to i + o*t**2 + w*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45*392\nAnswer: 17640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 2, j: 1, o: 5, y: 2}. What is prob of picking 1 l and 2 o?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -148 and -5.\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y + 13. Let u(c) = 3*c + 6. Let l(j) = -2*d(j) + 5*u(j). Let s be l(-7). Calculate the lowest common multiple of 3 and s*22\/(-12)*2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2493\/2 or -1246?\nAnswer: -1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 + -103251?\nAnswer: -103441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -3 - -4 - (7 - 4 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/8 + v**3\/2 + 2*v**2 - 5. Calculate j(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 48. Let h be w(-19). Let b(l) = l**2 - 5*l. What is the smallest common multiple of 11 and b(h)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77048 * 0.22.\nAnswer: -16950.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k + 33*k - 14*k**2 + 30*k + 24*k - 128*k. Let j(u) be the first derivative of -5*u**3\/3 - 3*u**2\/2 - 1. Determine 8*j(p) - 3*l(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6401 and 16255426?\nAnswer: 601450762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 370 = -q + 32*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/7)*w)\/w)\/w*(w*(w*w**(-5))\/w)\/w)\/(w**1*w**(-1\/6))*(w\/(w**1\/w)*w)\/(w\/(w\/w**(2\/21)))*w\/w**3*((w*w\/(w**3\/w*w*w)*w)\/w)\/w assuming w is positive.\nAnswer: w**(-141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30231 and 53744.\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -117 (b) 5 (c) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 37*h**2 + 4*h + 1. Is g(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 117, 1 in increasing order.\nAnswer: 0, 1, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-12) + (-2)\/(-8). Let b(d) = 2*d**2 + d. Let w be b(x). Suppose p = -i + 21, 0 = -2*p + w*p - 4. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 13. Let p be ((-117008)\/(-15))\/4 + (-32)\/240. Let z be (2\/(-5))\/(13*5\/p). Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -49.2. Sort m, -1, 2\/5 in descending order.\nAnswer: 2\/5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 23*n + 4. Determine z(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 + 11*p**3\/3 + 34*p**2\/3 + 8*p.\nAnswer: p*(p + 1)*(p + 4)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z = 54*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/((-3)\/(-90)). Suppose -5*m + 2*l + c = 0, -2*l - 5 + 20 = m. Suppose -134 + 54 = -2*s. Calculate the greatest common factor of m and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 - 3 = 0. Let k be 4 + (2 - (6 - c)). Suppose 5*m - 341 = m - 3*r, -k*r - 243 = -3*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/9*(45\/42 + -1). What is the closest to m in -4, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17*q + 323 + 37*q**2 - 159 - 158. Does 54 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**3 - 953*k**2 + 4312*k - 6333. Give s(186).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28056*t**2 + 34249*t wrt t?\nAnswer: 56112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -27. Calculate the lowest common multiple of c and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 9) + -22 + 0 - (-22 - -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x - 123. Suppose 31 = -4*m + 151. What is the remainder when m is divided by g(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -24 - (-3 - 1) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 48 in increasing order.\nAnswer: 0.3, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h**(-1)*h)\/h)\/h))**(-17)*(h**(-1\/2)\/h)\/(h*h**(-3)))\/(((h**(-3)*h)\/(h\/h**5))\/(h**(2\/7))**(-4)) assuming h is positive.\nAnswer: h**(-751\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100 - 3*(-63)\/27. What is the second smallest value in -5, 0.04, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81839 is divided by 27275.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(28\/49 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 5*a**4\/12 - 1294*a**2. Let h(b) = -9*b**2 + 5. Let g(o) = o**2 - 1. Let u(x) = -5*g(x) - h(x). What is l(u(w))?\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 8*q - 4. Let x(p) = 3*p**2 - 6*p + 2. Let m be ((8\/5)\/2)\/((-44)\/(-110)). Let d be x(m). Solve q*i = 4 + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvc when three letters picked without replacement from gjgvvvvcjvvvv.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -425954 or -425943?\nAnswer: -425943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p + h, -4*p + 2*h + 8 = -3*h. Find the second derivative of 2*w**p + w - w**2 - 3*w**2 + 14*w wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1706 + 2.8294. Sort -3, o, -1\/9, 4 in decreasing order.\nAnswer: 4, o, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = -5*x - 0*t, -2*t = 5*x - 19. Suppose 4*z + 0 = -3*s - 25, x*z + 6 = 2*s. Let u(j) = j**3 + 5*j**2 - 3. What are the prime factors of u(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(208) + -1)*-2)**2.\nAnswer: -96*sqrt(13) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1386 = 2*g, 139*g - 137*g - 4*b - 1356 = 0. Calculate the highest common divisor of 1265 and g.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1132199883 and -127578.\nAnswer: 1132072305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 413345159 divided by -413345159\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11)*d)\/(d*d**(-5\/8)*d) assuming d is positive.\nAnswer: d**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3942 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 4*d + 21. Determine t(-16).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 136, 143, 156, 175, 200?\n\"Answer: 3*l**2 - 2*l + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/4*6\/5. Suppose 0 = -i + 4*i - 5*v - 9, -1 = 5*i - z*v. Calculate the remainder when 19 is divided by (1 - 18\/4)*i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5900 - -5901. Let g be 0 - ((-12)\/15 - -1). What is the second smallest value in 5\/13, g, h?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 663.886cm?\nAnswer: 6638860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h**2 - 9*h + 5 + 6 + h**2 + 1. Let k be x(8). Suppose -117 = -k*f + f - 3*q, -4*q = f - 30. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**13*a**14*a assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000218523217 to seven dps.\nAnswer: 0.0002185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 285881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-18) + (-6)\/(-12) + (-140338968)\/(-297) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2773.066 centuries to millennia.\nAnswer: 277.3066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 14*a**2 - 280*a - 4871. Determine v(-16).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/149636880 and 101\/873792.\nAnswer: 598547520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13414114153 - -3?\nAnswer: 13414114200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-117))\/(((-468)\/(-845))\/(-4))*(-27)\/(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/14)\/2 - 37\/7. Let z = f - -2. Do 0 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 11. Let u be (35 - -35)\/(-14)*(-3)\/5. Let k(h) = h**2 - 7*h - 23. Calculate u*k(n) + 7*p(n).\nAnswer: 3*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.38 + 0.58. Let k = -5 - l. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**3 + 3*t**2 + 3*t + 4. Suppose 2 + 7 = 3*z. Let p(f) = -8*f**3 + 4*f**2 + 4*f + 5. Let x(y) = z*p(y) - 4*m(y). Differentiate x(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tet when three letters picked without replacement from tyynttreyty.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76767009.\nAnswer: 3, 11, 953, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1\/4, 7\/633 in descending order.\nAnswer: 7\/633, -1\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j. Let o(n) = -6*n. Let z(s) = s. Suppose h = 2*v - 0 + 5, 0 = -3*h + 4*v + 11. Let c(g) = h*o(g) + 4*z(g). Determine q(c(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*x + 6, 0 = -18*m + 15*m + x + 18. Let l(v) = -2*v**2 + 10*v - 3. Let n(a) = -2*a**2 + 9*a - 3. What is m*n(g) - 3*l(g)?\nAnswer: -2*g**2 + 6*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -31*l**3 + 3*l**2 + 11*l + 23. Determine q(-2).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:25 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95349 - -381671\/4. Let -5 - 25*g + r*g**4 - 75\/4*g**2 + 175\/4*g**3 + 105\/4*g**5 = 0. Calculate g.\nAnswer: -1, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5991870 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 112 - 3*n - 119 + 345.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(2380\/(-51))*-10*(-1)\/(-6)*-14\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2*g**3 - c**2*g**2 + 484*c**2*g - 3*c**2 + 1055*c*g**3 + c*g - 28*g**3 - 2*g**2 wrt g.\nAnswer: -18*c**2 + 6330*c - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 + 38.5. Let o = -47 + u. Let i be 1*(-1 - -6) + -2. What is the nearest to o in i, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2\/(-18)*1. Let v = -1.5 + 2.5. Which is the closest to o? (a) v (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/7 - 315915*c**3\/7 + 947727*c**2\/7 - 947721*c\/7 + 315906\/7.\nAnswer: 3*(c - 105302)*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, -68, 0.3, 0.5, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.5, 0.3, -2\/45, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q = 321 + 141. Let o(u) = 2*u - 29. Give o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:30 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3*h + 2551*a*h**2 + h**2 - 2067 wrt a.\nAnswer: 3*a**2*h + 2551*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.668 - 0.468. Let d = 0.69 - -0.2. Let j = -0.11 - d. Which is the smallest value? (a) j (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 11600082.\nAnswer: 34800246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212121 (base 3) in base 4?\nAnswer: 1032103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 - 54. Let k(s) = s - 3*s**2 - s. Calculate a(k(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 530124 (base 12) to base 13\nAnswer: 369901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 748 = 2*m + 4*q, 2*q = 4*m - 1526. Suppose 7*z - 2*z - m = 0. Calculate the lowest common multiple of 6 and z.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 - 7*s**4 + 3*s**3 + 19*s**2 - 14*s = 0. What is s?\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**4 + 4*a**4 + a**5)*(-4 + 0 + 5 + (-2 + 1 - 1)*(3 - 2 - 2) - 7898 + 2250 + 1253)*(2 - 2 + 2).\nAnswer: -8784*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:13 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 3*c - 5*c - c + 4*c**2 - 4*c**3 to the form r*c + i + h*c**3 + d*c**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3585\/25 - (-8)\/(-2). Let w = -139 + p. Which is the nearest to -1\/3? (a) w (b) 2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 3*z + 7. Let j be a(12). Let h be (10\/40 - (-3)\/4)*j. Suppose 4*y = -2*s + h + 567, 5*s + 922 = 3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.1. Let n be (2 - -2)*(11 + -12). Let w be 92\/252 + -3*n\/(-54). Put -5, 5, m, w in descending order.\nAnswer: 5, w, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 26. Let v be i(-11). Let s be ((-126)\/(-15))\/(v\/50). Suppose -140 = -4*c + 3*h, -h + s = 5*c - 4*c. Is 32 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {y: 2, r: 2, d: 1, g: 4, s: 1, l: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1549 or 29424\/19?\nAnswer: 1549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 1 + 1)*(30*c + 53 - 53) as t*c**2 + v*c + a and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -185854, -185843, -185824, -185797?\n\"Answer: 4*d**2 - d - 185857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 - 1 - 11*v**2 - 7*v**2.\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 469*j - 31593 + 14556 + 15081 wrt j.\nAnswer: 469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 - 81*h**2 - 2916*h - 34992.\nAnswer: -3*(h + 36)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*r + 824 = -431*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/1320 - 53\/264. Let w be -4*4\/(-80)*-1. What is the nearest to w in 4, -0.01, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Suppose -1 + m = a. Does 12 divide (a\/3)\/((-2)\/306)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 2, z: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 8*x**2 + 8*x - 16. Give n(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 = -16*t - 21*t - 3*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s - 1497 = 4*y, -3*y = 5*s - 1476. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(153)*-1*-5 - (2 + 2*sqrt(153)*-1))*5)**2.\nAnswer: -6600*sqrt(17) + 1851400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -392, -445, -490, -527, -556?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -304168 and -6.\nAnswer: -304174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -46 (b) 179 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145108470 is divided by 7040.\nAnswer: 7030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -446ca2 - -57?\nAnswer: -446c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5) + sqrt(245) + -3*sqrt(245) + sqrt(245)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdtddtmdw. What is prob of sequence mt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-143) + 48\/26. Suppose b*u = -0*u. Is ((-87)\/(-1) - -4) + u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**2. Let w(u) = -12*u - 6. Let z(s) = -11*s - 5. Let m(f) = -5*w(f) + 6*z(f). What is k(m(y))?\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/128232 and -145\/1404.\nAnswer: 384696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, t: 1, y: 4}. What is prob of picking 3 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44241 + -43?\nAnswer: -44334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 1, z: 6, u: 1, q: 4}. Give prob of sequence dda.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/13 (b) -0.2 (c) -4\/37 (d) 15331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let t(m) = 18*m - 53. Let w be t(3). Let a(s) = -s**2 + 7*s - 4. Let z(f) = w*a(f) - 5*q(f). Calculate z(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -2.1. Let j = 37.1 - 37. Let w = 0.1 + -1.1. What is the closest to 0 in j, h, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 431*w**2 + 2255*w - 53286. Calculate a(426).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 + 77. What is the second smallest value in -5, 2\/13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 5, g: 5, q: 2, z: 6, m: 1}. What is prob of sequence smz?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33037544 and 176?\nAnswer: 726825968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6352610 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -56. What is the greatest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2047224 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -502 - -4?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 50. Calculate h(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10*l = -15. Suppose 14 = -n - l*s + 7*s, 5*n + 3*s - 22 = 0. Solve n*b = -2*c + 4*c, -2*b = 2*c + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-84)\/(-20)))\/((-75)\/315)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745266.\nAnswer: 2, 3, 223, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -7*z + 80. Let m = -53 + 24. Let y = m + z. Is 2\/9 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 18. Let k be n(0). Let i be (-1)\/(-4) - 268\/16. Let p = i - k. Find the common denominator of p and 23\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -11*v**4\/4 + 2*v**3\/3 + 2*v**2 - 2*v + 5. What is the units digit of t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -170, -492, -1096, -2072, -3510?\nAnswer: -5500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 5, k: 3, i: 8}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*3)**2 + (-2 + sqrt(13) - sqrt(13))*-1 + sqrt(13) - (-1*sqrt(117) + 3 + 2 + (-2*sqrt(117))**2).\nAnswer: 4*sqrt(13) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11836 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6034 - 795.5966. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 25*d**2 - 25*d + 19. Let c be l(-26). Let f be 57\/(-9) - (-1)\/3. Is f >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158\/3 - -54. Suppose 0 = 45*u + 16 - 16. Suppose 0*s + u + 2\/3*s**2 + l*s**3 + 2\/3*s**4 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 + 7*o**2 - 12*o**2 - 19*o**2.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -18*l**2 + 49*l**2 - 25*l**2. Let i(u) = -8*u. Determine i(x(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 872 = -4*y. Suppose -t + y = t. Let o = t - 78. Solve -3*c + 4 + o = -4*r, -15 = -2*r - 5*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -61*h**3 + 4. Let q be s(-2). Let n be 4\/(-14) + (-1969)\/(-7). Let t = q - n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(68)*-1)**2 + (-3*-1*sqrt(170))\/(sqrt(40)\/(sqrt(64) + sqrt(4))).\nAnswer: -72 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3037 is divided by 179?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*j - 59. Suppose 3*b + 38 = 4*v, -v + j = 3*v - 5*b. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 11310501?\nAnswer: 11310506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 19. What is the remainder when 18 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1750 and -78712\/45 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/12 + 10*q**3\/3 - 19*q**2. Let u be a(-7). Solve u*i - 6 = 3*i + 3*h, i - 3*h = 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 120*x**2 - 65*x - 65. Let f(o) = -11*o**2 + 12*o + 6. Let b(s) = s. Let m(c) = -6*b(c) + f(c). Determine -6*g(v) - 65*m(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let l be k(-3). Suppose -2*s - 1 = s + v, 4*s + 4*v - 4 = 0. Let f = 4 + s. Solve -18 = l*c - f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87117*l*z + 2679*l - 5 wrt z.\nAnswer: 87117*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1702163kg?\nAnswer: 170216.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 135 - 14?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 21*v - 16*v - 4, -x - 3 = -3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 394978109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 12:45 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136111 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a3 + -166831?\nAnswer: -167024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-25)\/a*a**(-14\/3))**(12\/17) assuming a is positive.\nAnswer: a**(-356\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-584)\/(-219)*(65 - -1). Which is greater: 178 or j?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-8)*(-4)\/6. Let g(d) = -d**3 + 2*d + 3. Let c be g(-2). Let r = c + -5. Put -4, r, k in decreasing order.\nAnswer: r, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:07 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 186092 and 10?\nAnswer: 186082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(336\/(-1992)))\/(2\/4).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.3 (c) 0.122 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 1 - 107. Let z be 2\/(-7) - 636\/(-21). Let t = z - 21. Solve v - 5*v + a = -5*l, 2*v = l + t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 476 - 476. Suppose -2*z + 3*c + 5168 = 0, u = -2*z + z + 3*c + 2587. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 - 120. What is the third smallest value in -9\/4, 0, x, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -633.02 - -633. Which is the biggest value? (a) k (b) 4 (c) 0.2 (d) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -186366, -372685, -559002, -745317, -931630?\n\"Answer: q**2 - 186322*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus -0.093?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 12*u**2 - 8*u - 15. Let a be t(13). Calculate the highest common divisor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18459041, 18459043, 18459045, 18459047?\n\"Answer: 2*u + 18459039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 133b - 6?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*y = -1 - 31, 0 = -3*s + y - 26. Let o = -879 - -878.5. Sort o, -1, s in decreasing order.\nAnswer: o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -596, -860, -1102, -1316?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 - 1828. Let r(g) = -g**3 + 8*g**2 + 1822. Determine -3*r(f) - 4*v(f).\nAnswer: -f**3 + 1846","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27 - -18)\/18)\/(9\/30). Let c be -1 + (30\/16)\/3. What is the closest to -2\/7 in 0.2, u, 51, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 1354*y - 58425. What is s(-491)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 13*m**2 + 13*m - 12. Let s be j(-14). Suppose -5*o = -s*q - 98, 5*q + 55 = 5*o - 40. Solve -4*d = -0*d + o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 96, 100, 98, 84, 52, -4, -90?\n\"Answer: -t**3 + 3*t**2 + 2*t + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/13 - 166*b**4\/13 + 140*b**3 = 0. Calculate b.\nAnswer: 0, 13, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h - 16*h - 17*h)*(-43 - 54 + 7 - 3 - 6).\nAnswer: 1881*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40724471 = 40724472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 3*z)*(-6 + 3 - 2) + 0 + 0 + 10*z - z + z + z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001006907493 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 plus 79115729?\nAnswer: 79115706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 155*k**2 - 420*k.\nAnswer: -5*k*(k + 3)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -54 - 66. Let d - 5*d + 0*d - y*d**3 + 20*d**4 + 0*d**2 + 16*d**5 - 20*d**2 = 0. What is d?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -20, 49*o - 51*o - 36 = -4*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 19. Let n be (-18)\/(-45) - r\/10. Let g = -1\/106 - -271\/636. Does n = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.422712 hours?\nAnswer: 25.36272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9639 is divided by 2402.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 225*y**3 - 449*y**3 - y - 4*y + 5*y + 218*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**6\/72 + 15*n**3\/2 + 50*n. Let o(m) be the second derivative of d(m). Let t(v) = -13*v**2. Determine t(o(j)).\nAnswer: -325*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 182398\/14 - (-27)\/(-63). Let l = u + -7249. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 6 + 3)*(-10*c**2 + 16*c**2 - 23*c**2) in the form g*c**2 + h + z*c and give g.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12 - 12 + 19 - h - 23. Let q(d) = 2*d. What is q(l(s))?\nAnswer: -2*s - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x - v, 0 = 4*x + v. Suppose x*a + a = 8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/10868*19 - 5350\/55.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.287321 + -201.689079. Let h = s - 0.0236. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.5 and 100116?\nAnswer: -2853306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 2. Let n(h) = -3*h - 6. Suppose 312*a - 685 = -61. What is a*n(s) + 7*x(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-640)\/896)\/((-94)\/8554).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4))\/((-192)\/(-384)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.0137525.\nAnswer: -0.00687625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4506052471 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 20. Suppose -2*l = -7*l + g. Suppose -1626*r - 84 = -1668*r. Solve 9 = -5*c + f, c + r*f - 3*f = -l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -70, 100, -4 in decreasing order.\nAnswer: 100, 6, 5, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.93 - -1.43. Which is the biggest value? (a) 5 (b) y (c) 15 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/100 and 1\/13194?\nAnswer: 659700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53505, 53510, 53519, 53532, 53549?\nAnswer: 53570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/9*5\/((-75)\/9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 259.82?\nAnswer: 255.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556220, -556235, -556250, -556265, -556280?\nAnswer: -556295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15870 = -26*m + 28278. What are the prime factors of m?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.9 - 39.9. Let l(q) = q + 8. Let c = 22 + -29. Let n be l(c). Sort r, n, -0.5.\nAnswer: r, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -521? (a) 5 (b) -0.2 (c) -2254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by (72\/20 - 3)\/((-1)\/(-90)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from {i: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*a, -a - a - 10 = -2*u. Find the third derivative of 6*p**3 - 4*p**2 - 7*p**3 - u*p**3 wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115, -177, -237, -295, -351?\n\"Answer: w**2 - 65*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*h - 12. Let g(s) = s + 9. Suppose 2*c = -0*c. Let u be g(c). Solve -h*n + u = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(-640)*2*4\/(-9)*3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5 + 24*n**4 - 24*n**3 - 192*n**2 + 48*n + 384 = 0.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.2, 1, -0.1 in ascending order.\nAnswer: -0.1, 0.2, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -305 >= -306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 21*(-22 + 6). Find the common denominator of (-2 - 144\/(-100))*j\/16 and -56\/85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -2, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1 - (11 - 14)) - 27?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/17 (b) -30 (c) 2\/9 (d) 1\/9 (e) 2469 (f) 1 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51973\/2 + -26616. Let o = c + 650. Let l = 101413\/6 + -16926. What is the common denominator of o and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7522 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6101 + 435342?\nAnswer: 444443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 52*t**2 + 73*t + 963. What is the tens digit of b(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + -4. Let r = f + 0. Let z be -4 - (0 + (-38)\/9). Which is the closest to -2? (a) z (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 75*k**2 + 319*k + 242. Let n be z(-79). Suppose 3*f + 1 - 7 = 0. Solve 0 = -n*g + f*q - 12, -4*g - q - 8 = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15201 and 119079?\nAnswer: 201124431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + x - 6 + 5 + 10 + 3*x - 10 + (-2*x - 5 + 5)*(1 + 4 - 3) - x + 0*x + 3*x.\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, q: 12}. Give prob of sequence qcc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l*l*l**7*l)\/(l**1)**(3\/16))\/((l\/(l**(-3)*l)*l\/((l\/(l**2\/l)*l)\/l)*l)\/(l*l**1*l)**(-4\/7)) assuming l is positive.\nAnswer: l**(235\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21558 - 21563 + 43121 - 7*m + 6*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:27 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/66 and 29\/88842.\nAnswer: 977262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042 - 76.\nAnswer: -75.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 8*z - 4. Suppose -2 = -12*l + 58. What is u(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31024755*t**2 - 31024738*t**2 + 64 + t - t to the form d + r*t + n*t**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -15*n**3 + 8*n**2 - 17*n - 11. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.3 + 32. Let s = -2.1 - i. Let a = s + 3.799902. Round a to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8221032*l**3 - 5579094*l + 3 wrt l.\nAnswer: 49326192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14 = -5*t. Suppose l + 3*b = -6, 0 = -5*l + 5*b + t + 3. Factor l*r**2 - 4\/5*r + 2\/5 - 2\/5*r**4 + 4\/5*r**3.\nAnswer: -2*(r - 1)**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 654657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(15\/8))\/f)**42 assuming f is positive.\nAnswer: f**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*f**3*h**2*j**2 - f**3*j - 231*f**2*h*j**3 - 80*f*h**2*j**3 + 4*f*h - 2*f*j wrt h?\nAnswer: -92*f**3*j**2 - 160*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 65.\nAnswer: -22\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from rcrrccmccmrrqrrrcr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 18 = -3*q, -630051*q + 630056*q - 4*a - 42 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 3*b**2 + 8. Let n be y(-11). Let l = -632 - n. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*k + 175539 = 136554 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d**2 + 3*d - 2. Let s be f(1). Let y = 13 - s. Suppose -25 = -y*o + 29. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g. Let n(h) be the third derivative of 0*h**4 + 0*h**3 + h**2 + 34*h + 0 + 7\/15*h**5. What is k(n(i))?\nAnswer: 112*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741, 1085, 1601, 2307, 3221, 4361, 5745?\nAnswer: 7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/2)\/(4\/2). Let q(s) = s**2 - 9*s + 6. Let c be q(8). Is c bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**(-5\/19)*(g*g**1)**(1\/12) assuming g is positive.\nAnswer: g**(29\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80, -158, -236, -314?\n\"Answer: -78*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 134*x - 135*x + 3*x**2. Let v(g) = g**2. Let h be v(-1). Give q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 6. List the prime factors of (-2)\/(-6) - 114\/y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148241 (base 9) to base 10.\nAnswer: 91324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16200 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: Collect the terms in 10253*u**3 + 19*u**2 - 35*u**2 + 16*u**2.\nAnswer: 10253*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otc when three letters picked without replacement from cccwpoccctwt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2726*a + 10527 + 88653 = -18038 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*3\/(-9) - (-3 - 4). Let z be (-6)\/(-63)*((-45)\/i - -9). Let -12\/7 + z*x**2 + 0*x = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 2*n - 2*n. Let t(z) = 176*z**2 + 33*z. Let p(b) = -11*b**2 - 2*b. Let j(x) = 33*p(x) + 2*t(x). Give k(j(i)).\nAnswer: -242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -3*f**2\/2 - 17*f + 22. Let g(l) = -l - 4. Give 9*g(o) - 2*j(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - -1) + (-21)\/7)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232002 + 2323320?\nAnswer: 1031312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {j: 1, d: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/963817 + 299746922\/159029805. Let p = x + -20\/11. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, -2, 0.2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150488 * 1.\nAnswer: -150488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427086 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 + 119. Suppose -18*m - x = -307. Solve -m*t = -13*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256\/5 - 51. Suppose 4*k + 22 = -2*w, 3*w = -k - 0*w - 13. Let u(t) = -t. Let f be u(k). What is the third biggest value in j, 0.5, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5730 in -1, 4\/5, -0.0807?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {j: 2, y: 4, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50201 equal to 41146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/290*(-230)\/(-4531).\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-2)**2 + 1 - (-3*sqrt(2) + -4).\nAnswer: 3*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -17 + -23 + 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 471227050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -38*x + 4*x - x. Let q(b) = -3*b. Let y(f) = -49*q(f) + 4*w(f). Let c(l) = 6*l. Let h(t) = 5*c(t) - 4*y(t). What is h(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-140)*-5)\/(264\/(-154)))\/((-62)\/8).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6790631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*b**2 + 2*b + 2 - 5 + 8 - 3*b.\nAnswer: 588*b**2 - b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:39 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -6\/5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 246*s - 10687. Calculate i(43).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58936, 119426, 179916, 240406, 300896, 361386?\n\"Answer: 60490*t - 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003696624888 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5668 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 16*g**2 + 14*g + 17. Let w be t(15). Let z(d) = 4 + w - d - 2. What is the smallest common multiple of 8 and z(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 408965535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 4. What is the units digit of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-20)*(-2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.904 + 12.904. What is the nearest to 11 in y, -1.58, -1, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362462 - -33?\nAnswer: -362426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let h(k) = 25596999*k. Determine l(h(z)).\nAnswer: -25596999*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 10*i**4 + 3*i**4)*(1 + 7 - 1).\nAnswer: -63*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1813*h + 1818*h - 3400 = 0. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 - u + 6. Let m = -2471 + 2454. Let z(y) = 14*y**2 + 2*y - 17. Give m*v(r) - 6*z(r).\nAnswer: r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1928665 (base 10) in base 14?\nAnswer: -382c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/4 - 387*v**4\/4 + 6337*v**3\/4 - 17325*v**2\/4 - 12025*v\/2 = 0.\nAnswer: -1, 0, 5, 13, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1.9076, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -198299, -396599, -594899?\n\"Answer: -198300*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, -44, -167, -424, -863, -1532, -2479?\nAnswer: -3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 23022*w - 4. Determine y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/149 (c) -2\/9 (d) 4\/307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 2*v**2 + 9. Let z be w(3). Let l be 4\/(-5)*(-5)\/2. Let -1\/2*g + 1\/2*g**5 + 0*g**3 + z - g**l + g**4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*12\/(-32)*(-4)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -342, -347, -352?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-320)\/(-150) + (-2)\/15. Let l be (-2 + (-4)\/(-4))\/(t\/(-4)). What is the remainder when 17 is divided by (0 + l)\/(4\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -503, -124, 3, -4 in descending order.\nAnswer: 3, -4, -124, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Let h = p - 4. What is the units digit of ((-42)\/18)\/(h\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + l**4 + (3 - 3 + l**3)*(4 + l - 4) + l**2 - l**2 + 2*l**4 + 3 - 3 - 2*l**4 + (-3*l**3 + 4*l**3 + l**3)*(-2*l + l - 2*l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from 75.\nAnswer: 75.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(14) + sqrt(42)\/sqrt(3))*-6)\/(sqrt(14)\/sqrt(18)).\nAnswer: 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22820, -45641, -68462, -91283, -114104?\nAnswer: -136925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3244 (base 5) to base 9\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2 - (-3)\/2. Let i = 1.2 + -5.2. Let z = 0.6 - 0.4. Which is the second smallest value? (a) z (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28431 and 28430 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/15 - 4*x**3\/3 - 5*x**2. Differentiate p(j) wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*n + 644 = 2, n + 318 = s. Let j(l) = l**3 + 5*l**2 - 12*l + 9. Let k be j(-6). Calculate the highest common factor of k and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1\/3 (c) 1.01 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12020676527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:42 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 634801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 13*h + 22. Calculate the smallest common multiple of 40 and z(13).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 4.1. Let h = i - 2.4. Let o = -32 + 32.1. Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 + (1 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + p + 248 = 0, -4*q - q + 3*p + 621 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -43.236123?\nAnswer: 42.936123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*y + 325*y**2 - 683 + 234 + 209 + 240 as t + s*y + w*y**2 and give w.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212774207 or 0.1?\nAnswer: -212774207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-180)\/9) - (-12)\/(-112)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68988576 and 824.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/66780 and 73\/95400?\nAnswer: 667800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.306, -3\/4, -174743 in decreasing order.\nAnswer: -0.306, -3\/4, -174743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 0 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -432*t**5 - 5670504*t**4 - 46280595*t**3 - 3815133*t**2 + 28924590*t - 7870800 = 0. Calculate t.\nAnswer: -13118, -8, -1, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(477\/1802*119)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)\/((-1)\/(-6)). Let f be (-396)\/(-55)*10\/3. Suppose -3*z - 48 = -r - 2*r, 0 = r + z - f. Solve 0 = a*u - u + r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 14 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:31 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/60 - 3\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r + 7*r + 61*r to a*r + f and give a.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 12 - 2. Let h be (-3)\/a*(-14)\/21. Factor -2\/5*t**3 + 2\/5*t**2 - 2\/5 + h*t.\nAnswer: -2*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -31*v + 12. Let h(f) = -132*f + 54. Let w(m) = -2*h(m) + 9*j(m). Let s(x) = -x - 22. Calculate s(w(z)).\nAnswer: 15*z - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/14 + (34 - 26).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 273254 = -78*g + 74*g, 16*w - 96 = 0. What are the prime factors of g?\nAnswer: 2, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22155373 (base 8) in base 6?\nAnswer: 250200511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-14)\/16*(-96)\/56). Let g(a) = 6*a**2 - a + 1. Determine g(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 + 1008116*y**2 - 3024384*y = 0.\nAnswer: -252032, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/11)\/c**1*c*((c**7\/c)\/c*c)\/c*c*c**(3\/4) assuming c is positive.\nAnswer: c**(305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/((-20)\/(-6)). Let l be 3 + 0 + (-410)\/130. What is the nearest to 1\/4 in l, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 2) to base 11\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 235 - 234.6. What is the nearest to 1\/6 in 4, 8, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {g: 2, v: 4, q: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b20ae7 + -9?\nAnswer: b20add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 823010?\nAnswer: 9053110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o - 2184 = -114 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 149, 148, 145, 140?\n\"Answer: -a**2 + 2*a + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, -194560, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*d**4 - 2*d**3 - 2*d**2 + 183*d.\nAnswer: -336*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f - 4*f - 12*f. Let g(w) = 7*w**2. Calculate g(u(q)).\nAnswer: 448*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)*-2 - (sqrt(19) + (sqrt(19) + 4 + sqrt(475) - sqrt(19)))**2 - (-5*sqrt(171) - (sqrt(2299)*1 + sqrt(2299))**2).\nAnswer: -35*sqrt(19) + 8496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1523?\nAnswer: -10\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 5*i + 98. Let t be (i - 15)*(-16)\/(-2). Let f be (-2)\/4*t\/4. Does -4\/11 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28757081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:16 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-25)\/10)\/(2\/(-140)). What is the highest common factor of 25 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 318, 272, 310, 474, 806, 1348, 2142?\n\"Answer: 7*v**3 - 95*v + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307180720*a**2 + 1307180720*a**2 + 5*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4 - 17*c - 5 + 90*c + 103*c**2. Let f(l) = 51*l**2 + 36*l - 4. Let y(n) = 13*f(n) - 6*m(n). What is the second derivative of y(i) wrt i?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164822 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.58108 rounded to the nearest integer?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 10*d**2 - 9*d - 12. Suppose 4*f = 0, -4*f = -2*r - 0*f + 32. What is the remainder when h(8) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97.5752 kilometers?\nAnswer: 97575200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p + 6. Suppose 6 = 5*h - 9, f = 4*h - 15. Let w(u) = 13*u - 8. Let z(c) = f*w(c) - 4*i(c). Let o(q) = -34*q. Determine o(z(v)).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -2*c - 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 1, z: 1, m: 5, i: 3, e: 4}. What is prob of sequence iiim?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.918322 millilitres?\nAnswer: 0.000918322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 38. Let q = 3.6 + y. Put 2\/9, q, 9 in increasing order.\nAnswer: q, 2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/11 in 0.7, 6, 0.011?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-5) + (-3 - -2 - 42\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29747171 to the power of 1\/2, to the nearest integer?\nAnswer: 5454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4485 + 2870?\nAnswer: 7465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90635.\nAnswer: 5, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 7)*(2 + 0 + 0)*(-5*i**2 + 5*i**2 + 6*i**2)*(-29 + 5 + 0) to s + d*i + p*i**2 and give p.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 16*m)*(-2435*m**4 + 1354*m**4 + 1269*m**4).\nAnswer: -3008*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 2062.\nAnswer: 201\/2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100628480 divided by 4.\nAnswer: -25157120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3, 62, 2, 0 in decreasing order.\nAnswer: 62, 5, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akrykrmy. What is prob of sequence yy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 28*b - 32*b. Let m = 89 - b. Suppose -m*h + 343 = 23. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (23 - 7064)*17\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(378))\/sqrt(6))\/(sqrt(1089) - (sqrt(1089) + sqrt(1089) + -2*sqrt(1089) + sqrt(1089)) - sqrt(1089)).\nAnswer: -2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - -181. Let s = 201 - o. Which is the fourth smallest value? (a) 2\/13 (b) 4 (c) 0 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/10 + k**3\/6 + 42*k**2 + 69*k. Differentiate s(g) with respect to g.\nAnswer: -6*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -33596482*f**2. Let n(z) = -2*z. Give v(n(a)).\nAnswer: -134385928*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21050 divided by -4210?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173223 (base 8) to base 7.\nAnswer: 352014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmomomammbroobm. What is prob of picking 1 b and 3 o?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let d be 1\/y + 9\/(-4). What is the remainder when (40 - 1) + 4 + d is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 9*l**2 - 9*l - 18. Suppose 3*k = x - 11 - 17, -8 = -2*x. Determine p(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 346?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-765)\/(-425))\/((3\/(-10))\/(-1)). Solve -h*k + 10 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2211.6 - -2212. Suppose -3*f + 29 + 1 = 0. Let d be (24\/(-140))\/((-4)\/f). Sort d, -8, i in increasing order.\nAnswer: -8, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*b + 35 + 28, -27 = -w + 4*b. Suppose 8*h + 1014 = w*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 25*r - 928. What is c(20)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - z + 10 = -3, -7 = -4*w + 5*z. Suppose t = q + 31, -w*t + 5*q - 26 = -127. What is the remainder when 78 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 262 + -785\/3. Which is the closest to 0.1? (a) 0.2 (b) 1 (c) 1.3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/((36\/(-27))\/4) + -1. Let i be (-1)\/((-10)\/(-4)) + 1. What is the closest to z in i, 12, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*v = -165*v - 10. Let q(w) be the second derivative of -1\/6*w**3 - 4*w - 13\/2*w**v + 0. Calculate q(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -14)*8\/(-10). What is the units digit of (-1)\/(-1) - (-36)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 75 - 37)*((2*y - y**2 - 2*y)*(-5*y + 0*y + 3*y) + 1 + y**3 - 1).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 7*u**2 - 2*u. Let x(t) be the second derivative of -13*t**4\/12 - 596*t. Let c be -5 - 0\/(1 + -2). What is c*y(g) - 3*x(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 28*p = 6 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 0.3 (c) -1\/2 (d) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/12 + l**3\/2 - l**2\/2 + 8*l. Let p be t(-4). What is the units digit of (183\/p)\/(-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnenuonmmndo. What is prob of picking 2 d and 1 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -0.7201211\nAnswer: -30.2450862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1802 at least -695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + 0) - (sqrt(3) + -5)*-1)**2*-2.\nAnswer: -56 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4071964 = -368*l + 5107796. What is the greatest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 - 24*p**2 - 11*p - 124. Let k(l) = -5*l**3 + 28*l**2 + 10*l + 125. Give -7*d(u) - 6*k(u).\nAnswer: 2*u**3 + 17*u + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1494a (base 16) to base 11.\nAnswer: -58375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxsssxx. Give prob of sequence xxx.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 461*t**3 - 167679*t - 590153751 wrt t?\nAnswer: 1383*t**2 - 167679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l - 3 = 114*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izk when three letters picked without replacement from {z: 2, d: 1, i: 2, o: 1, k: 2, l: 5}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/14))\/u*u*u**(1\/5))\/((u\/((u\/(u\/(u*u*u**0*u)))\/u)*u)\/u)**(-1\/43) assuming u is positive.\nAnswer: u**(4187\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28022.\nAnswer: 2, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5\/z**3*((z*z**(-2\/7)*z*z)\/z*z)\/z**(2\/7)*(z**(2\/3)\/z*z*z)**(-10\/7)*z**2\/(z\/(z**5\/z)) assuming z is positive.\nAnswer: z**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10981*t**2 - 467*t + 38. Let p(q) = -10983*q**2 + 466*q - 54. Let u(h) = 2*p(h) + 3*x(h). What is the second derivative of u(g) wrt g?\nAnswer: 21954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -28*l**3 + 14*l**2 - 112. Let p(x) = 9*x**3 - 5*x**2 + 37. Let j(o) = 14*p(o) + 5*w(o). Differentiate j(a) with respect to a.\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/19919460 and -71\/5975838.\nAnswer: 59758380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419 divided by -1.\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b + 14. Give m(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-1))\/((-2)\/(-75)). Suppose 3*i - 6*i + 52 = -4*v, 5*i - a = -5*v. Solve -2*l - i = -6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*a**3*l**3 - a**3*l - 343*a**2 + 4*l**4 + l**2 wrt l?\nAnswer: 174*a**3 + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15973335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1688 + -1690. Let t(r) = 3*r**2 - 8*r + 3. Let z(x) = -3*x**2 + 9*x - 4. Determine v*z(s) - 3*t(s).\nAnswer: -3*s**2 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-15) - 3)\/(10\/((-700)\/(-238))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 535 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 8. Let c be (-3 - 2)*n*-1. Suppose 2*w + 3*w + 3 = -2*b, 0 = -4*b - c*w + 9. Solve -2 = -2*r + b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-87)\/(-6) - (-2)\/4. Let l be 5\/v*3\/(-4). What is the nearest to l in 0.4, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, w: 1, s: 4, i: 2}. What is prob of sequence sl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 8 - b**2 + 2 - 5*b + 2*b**2. Suppose -4*x = -4*r, 7*x + 4 = 2*x + 4*r. Give g(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/14)\/((-5040)\/(-99960))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 444\/(-1300032)*(2\/5 - 1598\/45) and 25\/24.\nAnswer: 13176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-204)\/(-340) + (-1 - 7\/(-5)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2*p - 4*p)*(1 - 4 + 6)*(-1 + 0 - 1)*(-4*p - p + 0*p).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31230 (base 4) in base 8?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**3 + 11*o**2 + 19*o + 5. Is q(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 + -0.36. Which is smaller: -4\/7 or k?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*p + 56, 0 = 3*p - 10*d + 5*d - 40. Let u be 192\/p - 4\/(-10). Suppose u = 5*f + 2*g, -3*g = f - 7*g - 24. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1\/(-1))*1. Let h(k) = -3 - 20*k**2 - 4 + 5 + 21*k**2. Let t be h(g). Solve -2*q + 0 = -t*v + 10, q + v = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*-1*sqrt(3) - sqrt(27)\/(sqrt(81)\/(sqrt(18)\/sqrt(2))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1039.711165 - 29064.\nAnswer: -28024.288835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 5*v + 4. Let w = -1 + 6. Let n be u(w). Let h be -6*(22\/8 + -3)*488\/366. Solve n*x - h = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6, 9 - 1 = l + 3*k. Solve -l = 17*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204 - 23.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 32) + (-3875 - -3908).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4 - 6375*s**3*x + s*x + 55782*x wrt s.\nAnswer: -8*s**3 - 19125*s**2*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 115, 1015, 3463, 8227, 16075?\n\"Answer: 128*c**3 + 6*c**2 - 14*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 42) + 68 - (2 + 1 + -2 + -4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (0 - 0) - -28. Suppose -4*p + 5*z + 26 = 0, -z - 4*z = -5*p + d. Suppose -p*f + 112 + 112 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-18)\/(-3) + 1 + 3. Suppose -3*j = 0, 5*j + 0 - 10 = -5*n. Suppose n*d - 49 = -v, -5*v + 9 = -w. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 179 take away 11?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d. Let n(y) = 13*y + 1. What is n(k(m))?\nAnswer: -104*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, c: 3}. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 7*c + 220 - 1217, 0 = -5*s - 5*c + 2480. Let a be (-10)\/(-4)*6*3. Calculate the greatest common factor of a and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1308 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2101.8186 - 2102. Round p to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4*45\/1224)\/5*-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2687 - 2686.9. Sort -0.23, 1, -12, b in decreasing order.\nAnswer: 1, b, -0.23, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**3*u**5 + 53*q**3*u**2 + q**3 - 70*q*u**2 - 2*u**5 + 38*u**3 wrt u?\nAnswer: 660*q**3*u**2 - 120*u**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxxdxhdtmh. What is prob of sequence ah?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 613 + 179 = 0. Let c = -34 + 52. What is the greatest common factor of o and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**5 - q**4 + 2. Let a(k) = -29*k**5 + 5*k**4 - 10*k**2 - 13. Let p(s) = a(s) + 5*d(s). What is the third derivative of p(y) wrt y?\nAnswer: -2040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y + y + 17*y + 4*y + 14*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -516210 < -516207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 5*a - 8*a. Suppose 5*s + 4*k = a, k = 5*s - s - 47. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12863 = 3811*d - 51924 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 - 29*w + 52)*(w**2 + w**2 - 5*w**2) + (w - 1 + 1)*(-4 + w**2 + 4) as a*w + v + l*w**2 + g*w**3 and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 11*q = -4617. Let g be 6 + 0 - (-969)\/q. Sort 6, g, -5 in increasing order.\nAnswer: -5, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 20*i**2 - 25*i.\nAnswer: 5*i*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393872 is divided by 188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/32428 and -63\/25450084.\nAnswer: 279950924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)*j)**(-6\/17)\/(j*j**(-1)\/j)**(-1\/7))\/(j\/(j\/(j**(-2)*j))*j*j*j**(4\/7)*j*(j\/j**(-1))**(3\/17)) assuming j is positive.\nAnswer: j**(-386\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 6*i**2 - i + 5. Let q be m(6). Let t be -1 + 3 - (0 + q). Let l(j) = -7 + j**2 - j**t - 8*j**2 - 5*j - 2*j. Give l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 13 = -2. Solve 0 = 3*j + 2*c + 3, -7*c = t*j - 3*c + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/27 - (-25040)\/90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k - 5. Let w(q) = -1. Let y(p) = -o(p) + 6*w(p). Let l = 1 + -5. Calculate the remainder when y(l) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2 - z + 4. Let i be p(1). Let h(l) = -2*l**3 - l**2. Let n(x) = x**2. Give i*n(r) + h(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/17, 0.2, -2\/3, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyyddyyyy. Give prob of sequence ddd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 23 = 21 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + f + (3*f + 0*f - f)*(2 + 0 - 3) + 0*f - 2*f + 0*f)*(4 - 2*f**2 - 4).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.063 + -7.937. Which is the fifth biggest value? (a) -0.3 (b) -0.5 (c) -1\/12 (d) l (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 19 = -5. Let j(p) be the third derivative of -p**5\/60 - 11*p**4\/24 - p**3\/6 + 46*p**2 - 2*p. What are the prime factors of j(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 312.2 + -312. Let m = -0.3 + -0.2. Let r = m - -0.3. What is the third biggest value in u, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.031 + 0.521. Round u to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 9. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 59*b**2 - 536*b.\nAnswer: b*(b - 67)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -22003, 4\/7, -250 in ascending order.\nAnswer: -22003, -250, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 2*a**2 - 2*a**2 + (a + a + 0*a)*(19*a - 37*a + 5*a) - 2*a**2 - 1 + 1 to the form q*a + x + j*a**2 and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12)*-3)\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5*o - 27*f**3*o**2 + f**2*o**2 + 37*f**2 wrt f?\nAnswer: 180*f**2*o - 162*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(0 + 3 + 0).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5871 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.2 - -20.2. Let o(w) = w**3 - 4*w**2 + 5*w - 4. Suppose 5*q - 24 = -9. Let a be o(q). What is the smallest value in a, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**6\/360 - 25*k**4\/24 + k**2. Let r(w) be the second derivative of a(w). Let n(m) = -4*m. Determine r(n(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-2\/11)*j**4\/((j\/(j\/j**(1\/2)))\/j) assuming j is positive.\nAnswer: j**(103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/546 and -91\/6?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2185 = 298*f + 3412 - 1723 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3408471 (base 10) to base 9.\nAnswer: 6364480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27926*j + 27962*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 18*f + 11. Determine g(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -4\/7, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1125*y - 45010. What is g(-40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*m = -1520*m + 1188 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/105)\/((-26)\/(-91)))\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2619 = 62*l - 35*l. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 21*t**2 + 467*t + 1859. Let n be q(-4). Calculate the highest common factor of n and 1744.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*v - 59 = 360*v - 7*d, -3*v = 3*d - 87. Sort v, -78, 0 in descending order.\nAnswer: v, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*r + 3123 = 3131, 0 = -4*g + 5*r - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**3 + g**3 + 3*g**3 + (-2 + 2 - 2*g**2)*(0 + 3 - 4)*(g + 0*g - 5*g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 8:01 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9461?\nAnswer: 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2\/11, 4, 0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/8 + (-2)\/2. Let d = q - 18. Let f = d + 24. Which is the biggest value? (a) -0.1 (b) -1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97601474 to the power of 1\/2, to the nearest integer?\nAnswer: 9879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:48 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60171, -252370, -572701, -1021164?\nAnswer: -1597759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:21 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -75. Suppose -407 = -g*j - c, 4*j - 3*c - 591 + 70 = 0. What are the prime factors of j?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4427*i + 30984. Give a(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30098571 - 52311320047\/1738. Let f = k + -2\/4345. Find the common denominator of 4\/14*(-30)\/(-10) and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27530 and -220 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1381, 642, -107, -872, -1659, -2474, -3323?\n\"Answer: -i**3 + i**2 - 735*i + 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26776198 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 3. Let r be u(-5). Suppose -f - r = -2*f. What is the units digit of f\/28 - 31\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10860803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 18 + 49 = 4*h, 20 = 2*h - 4*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 4798094\nAnswer: 17\/4798094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-7))**25 assuming z is positive.\nAnswer: z**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = 2*k, -16*m + 21*m = 2*k. What is the remainder when 1506\/10 - (-2)\/k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*1 - 4\/36?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253*i**2 + 1767*i**4 - 3529*i**4 + 1759*i**4)*((3 - 4 + 3)*(-2 + 2 + 2*i) - 5*i + 4*i + 2*i).\nAnswer: -15*i**5 + 1265*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.72 and 869094.\nAnswer: -625747.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**1*y*y))**37*(y**0)**33*(y*y\/y**(-2)*y)**(1\/59)*y\/y**(-1\/2)*y**(-3)*y assuming y is positive.\nAnswer: y**(-13147\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n**2 - 4*n - 5. Let y = -260 + 382. Let x = -126 + y. What is r(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + q**2 - 3)*(194 + 602*q**2 - 194) + 0*q**2 + 0*q**2 + 2*q**4.\nAnswer: 604*q**4 - 602*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-3 + 2 + 5)*(4*j + 5*j + 6*j) in the form m + y*j and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*q = 6, -3*x = q + q - 10. Suppose b = -0*b - 5*n - 79, -5*b - x*n = 464. Is -3 + b*(-3 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**2 + 1. Suppose 2*h = -4, 4*u - 6*u - h = -198. Let y = 100 - u. Suppose y = 3*t + 109 - 106. Calculate x(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {m: 1, r: 2, g: 1, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 (base 10) in base 15?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 - 34\/8. Let t(l) = 3*l**2 + 3*l. Let k be t(r). Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 98, 126, 174, 248, 354, 498?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*(2*(-1 + sqrt(275)) + -3))**2 - (0 + sqrt(275) + sqrt(275) + 1*sqrt(275) + -4)*-5).\nAnswer: -53940 + 4575*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*n - 3, 0 = -n - 0 - 1. Let p(c) = -c. Let t = 3 + 4. Let a(j) = -j - 2 - 4 + t. Give i*p(s) + 2*a(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0.2, 28, 1\/2, -4.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 10:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let u(l) = -6*l**2 - 4*l**d + l + 4*l**2 - l**3 + 8. Is 2 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + i = 721, -15*i + 1427 = 4*p - 16*i. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1327 (base 8) to base 10.\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2)*-1 + -1. Let i be 0\/(-5) + f - (-3 + 0). Suppose -y + i*o + 45 = 0, y + 4*o = 4*y - 111. Is y a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.12 (b) 29 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -159, -257, -357, -459?\n\"Answer: -b**2 - 93*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*(-7 - -3)\/(-20). Solve 2*d + o*i = -10, d = -10*i - 12 - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(2\/7 + 7\/49). Calculate the lowest common multiple of (36\/v)\/(7 + (-432)\/63) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -2012?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1104 and -93\/2300.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 223?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35366555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {j: 2, t: 1, x: 4, u: 2, e: 4, n: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67510 is divided by 10025.\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1908)\/424)\/(31\/682)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379486 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6062081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e3 - 295c?\nAnswer: -1e69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*s = 174*s. What are the prime factors of 4\/(8\/294) + s\/(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (28 - 83)) + -24 - -2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -73 and -76 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h + 6. Let g(i) = 7*i - 7. Suppose 0 = -2*j - 8, -2*v + 1 = 5*j + 9. Give v*w(q) + 5*g(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 38638, -2\/17, -3.4, 2\/11 in increasing order.\nAnswer: -3.4, -2\/17, 2\/11, 1, 38638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1366c (base 13) to base 6.\nAnswer: -435504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 76.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpx when three letters picked without replacement from rprgxg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*u - 9 = 0, 0 = -2*z - 517*u + 516*u + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157031\/348940 + 2\/87235. What is the common denominator of -1*50\/(-16) - 1 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zds when three letters picked without replacement from szszsszd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.5633mm to micrometers.\nAnswer: 300563.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -14, 1\/5, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + m = -0*r + 57, 3*m - 27 = 3*r. Is (-1)\/r - (-1774358)\/408 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 8. Suppose 3*v + 24 = -5*v. Does 5 divide r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 3*l**2 + l - 4. Calculate k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/21 - 189632*u**3\/21 + 3223348*u**2\/21 - 2464816*u\/3 + 1327186 = 0.\nAnswer: 3, 7, 94799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1526\/(32\/((-280)\/(-35))))\/(-7).\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 equal to 150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919527126.\nAnswer: 2, 3, 7, 73, 443, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 27.71149?\nAnswer: 2.771149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001589167254 to seven decimal places.\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3464?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(117))**2.\nAnswer: -24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*l + 1328*l - 666*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 1\/12*g**5 + 0*g + 0 + 0*g**4 + 7*g**2 + 5\/6*g**3. What is the derivative of p(f) wrt f?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000111010100 (base 2) to base 4.\nAnswer: -21013110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 324567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/5 + 43408*w**2\/5 - 117765904*w\/5.\nAnswer: -4*w*(w - 5426)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = 0. Let w(z) be the second derivative of 1\/30*z**5 + z - 1\/90*z**6 + 1\/6*z**2 + 0*z**4 + y - 1\/9*z**3. Solve w(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 5958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) + -4*sqrt(112) + -6*(1 + sqrt(252)).\nAnswer: -43*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-35)\/(-10) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 14*d + 7. Calculate the least common multiple of 474 and m(14).\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 131960*m**3 + 6*m**2 - 46*m + 59. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8953 + 87 = 226*n. Calculate the remainder when 393 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 70, -1014, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -672211214.0139645 + -71.9860355. Let h = 672211211.9999969 + c. Let l = -74 - h. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 979c - 3b?\nAnswer: 9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17503*z**3 + 35474*z**3 - 17956*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*i + 49. Suppose -3*n = -2*n + g - 16, 11 = n - 4*g. Let s = i + n. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9373 + -7116. What is the highest common divisor of i and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/20 and 133\/900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u - 2*y + 62, 4*y = 2*u - 38. Let o(h) = -7*h + 44. Let f be o(6). Suppose -147 = -f*a + u. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 113*f**2 - 50*f - 409. Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*q = 2*c - 150, -c + 2*q + 40 = 0. Suppose 2*n - 52 = -c. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-30)*3)\/((-2)\/2))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (-24)\/(-14). Suppose 2*m - 63 = -v*r - 25, -5*r + 35 = m. Solve -p + m = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + r - 3 + 1 + 6 + r**3 + 0. Calculate c(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0 + 3*k + 0 + 3*k**2. Let g be d(3). Solve 0 = -4*m + 4*c + 43 - 11, -g = -4*m + 5*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -358\/11 in 0.1, -4, -111.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = -2*x + 1911. Suppose 2*j = 830 + x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**2 + 33*w + 374. Let h(z) = -35*z**2 + 96*z + 1121. Let s(n) = -4*h(n) + 13*x(n). Factor s(a).\nAnswer: -3*(a - 21)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c737 + 4?\nAnswer: -3c733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169136 or -169124?\nAnswer: -169136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(11) - sqrt(11))*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -19*z**3 + 4*z**2 - z - 3. Let w be c(-3). Find the common denominator of -45\/16 and (w\/60)\/(3*-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181201 - -1.5.\nAnswer: 181202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -471367150540603 take away 2?\nAnswer: -471367150540605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 336375*n**2 - 15798580*n.\nAnswer: -5*n*(n - 67228)*(n - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 5*t + 5. Let q(f) = -3*f**2 + 21*f - 21. Let k(c) = 2*q(c) + 9*v(c). What is the lowest common multiple of k(2) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {g: 5, q: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/364 - -1\/156. Let x = 0.28 - 0.12. Let j = -1.16 + x. Put j, z, 4, -3\/5 in decreasing order.\nAnswer: 4, z, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 759, 760, 761?\n\"Answer: l + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 331740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 96, 146, 236, 378, 584, 866?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 553577187*d**2*t**3 + 2*d**2*t**2 - d*t**2 + 2448*t**2 - 629*t wrt t.\nAnswer: 3321463122*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -1002, -1728, -2454, -3180?\nAnswer: -3906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.3 (c) -5\/189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*q + 3*x + 2*x, -4*q = x - 11. Let l be 63\/14*(-4)\/(-9). Calculate the greatest common divisor of l and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/36 and 107\/29566080?\nAnswer: 29566080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -334\/237 - -6\/79. Let v(l) = -l**3 - 6*l**2 - 14*l - 8. Let a be v(-6). Let t = a + -76. What is the closest to t in 5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1442 (b) -0.3 (c) -1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 16130*i + 32280.\nAnswer: -5*(i - 2)*(i + 3228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1\/3, 0.3, 426091?\nAnswer: 426091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458252731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 644344 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32275 (base 11) to base 9\nAnswer: -71311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*x = -22 + 7, 0 = 4*o + 4*x - 20. Suppose o = 3*s - 319 + 1378. Let r = s - -532. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuiiiiiiiu. What is prob of sequence uiiu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 3. Let r(y) = 2*y + 0*y + 2*y + 20 - 10 - 2*y. Let q(j) = -r(j) - 4*w(j). Determine q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/((16\/(-10) - -2)\/((-224)\/280)). Solve -p*d - 273 = d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ytpptyppp.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(32))*-1 + sqrt(16)\/((sqrt(64)\/sqrt(4))\/sqrt(2)))**2 + (4 + -3*(sqrt(8) + sqrt(16)\/sqrt(2) + sqrt(8)) + 4)**2.\nAnswer: -276*sqrt(2) + 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 + 164 + 8*m)*(3*m**2 + 0*m**2 - m**2)*(12 + 5 + 19).\nAnswer: 576*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) -0.1 (d) -86 (e) -1.2 (f) 18\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -436.\nAnswer: 5\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*d - q, -2*d - q + 4 = -7. Let y = d - 3. Suppose 0 = -279*w + 134*w + 124*w. Sort y, -2, w, -1 in descending order.\nAnswer: y, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**3 - 101*p**2 + 45*p + 82. Calculate o(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/17, -19, -8, -21\/4, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30381147 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.291 + 0.5.\nAnswer: 45.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - m = -11, 0 = 11195*q - 11200*q + 3*m + 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*s = -528, f + s - 147 = 36. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3506904894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 826*y**4 - 281928*y**3 - 3218824*y**2 + 7558720*y = 0.\nAnswer: -632, -13, 0, 2, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*d**4*z**2 + 7*d**4*z + 14*d*z**2 - 537*z wrt d?\nAnswer: -1272*d**2*z**2 + 84*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34751141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003002 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5\/17 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -4*3\/12. Let h be ((-31)\/(-62))\/(v\/(-12)). Solve -2 = -h*a + s + 2, 2*a + 2 = -4*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29093899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(468) - sqrt(468)) + sqrt(468))**2 + 1.\nAnswer: 48*sqrt(13) + 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -584668 or -584664?\nAnswer: -584668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2707368567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 86?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (37 - 39)*(9\/(-2))\/3. Let g(r) be the third derivative of 0 - 10*r**2 + 0*r - 3\/8*r**s + 16\/3*r**3. What is the derivative of g(p) wrt p?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/2)\/(15*12\/720*-6)\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 + -81. Let i be ((-108)\/10)\/(1\/(-5)). Suppose 4*y - 58 - i = 0. Calculate the greatest common divisor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*c - 2*c - 26752 = -1814 + 6148 for c.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -6. Let x = -41 + 20. Let r be (d\/(-4))\/(-4) - x. Calculate the greatest common factor of r and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 206305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 452174581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00251 to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 + 756*w**2 - 1518*w + 760 = 0. What is w?\nAnswer: -380, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -107.8+7.6061\nAnswer: -100.1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by -24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2 - -1) + -3. Let w = 13 + y. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/((-3)\/(3 - 0)). Is o not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -625, -937?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*u**2 - 585132*b**2*u - 575378*u**2 wrt b?\nAnswer: -4*b*u**2 - 1170264*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 583, 582?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7469 + -3?\nAnswer: 7466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552 a factor of 80005248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 3*m**2 + 4*m**2 - m**3 - 7*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 3. Suppose 11*i - 147 - h = 0. What is the remainder when 26 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161.1 - 153.1. Which is the closest to 6? (a) -0.08 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2895957 - -1?\nAnswer: 2895958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 15*k + 25. Let a be g(5). Solve a = -7*c - 1 + 29 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/3)\/(4\/(-6)*-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2545290 and 2545284 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1314 + 1327. Calculate the remainder when 75 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**3 - 1. Suppose 0 = 33*w + 78*w + 44 - 266. What is x(w)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 31*r**6\/15 + 2*r**3\/3 - 397*r**2\/2 - r - 301. Differentiate c(x) with respect to x.\nAnswer: 248*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 136 = 2*x, -3*o + 64 = -x - 36. Let w = o - 26. Let m be w\/1 + -1 + 3\/3. Solve -2*n + m + 14 = -4*l, -3*n = -3*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 504*b - 8 - 5 to c*b + l and give c.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t, z = 3*z + t - 26. Suppose -3*p - z = -5*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-48))\/((-2)\/(-96))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1 + (-4 - -7). Suppose -d - 2*d = 4*l - 10255, n = d - 3*l - 3401. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 1. Let v(t) = 33*t**3 + 18. Determine -18*r(p) - v(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1121824 and 1936.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7214, -14417, -21620, -28823, -36026, -43229?\nAnswer: -50432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -113393*g + 284. Let b be 141\/(-12) + (-7)\/28. Let d be m(b). Round d to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1003 - 3908 + 1943 + 87*g**2 wrt g.\nAnswer: 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120693180 divided by 6.\nAnswer: 20115530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1242\/(-1449) - (-6)\/21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35837.\nAnswer: 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k)\/(k**(-13)\/k)*k**(1\/4)\/k**(2\/41) assuming k is positive.\nAnswer: k**(1017\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 131 + 357. Suppose -25 = -7*q + o. Let i(t) = -t + 47. What is the tens digit of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**2 + 0 + 2\/5*n**4 - 4*n**3 + 0*n.\nAnswer: 2*n**3*(n - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 310 + -153. What are the prime factors of g?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h - 15. Let k(v) = -22*v + 38. Let c(a) = -3*g(a) - k(a). Let m(q) be the first derivative of -q**2\/2 + q + 2. Calculate -2*c(j) + 14*m(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419054 = 52*r - 1837278. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7262\/5 - 7809\/5. Let o = 109 + s. Which is the third smallest value? (a) -2\/33 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4108?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890714126 = 2*t + 27*t - 253004126. Round t to the nearest 100000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2. Let d(f) = -550*f**2 + 12*f - 28*f + 551*f**2. Give d(n(t)).\nAnswer: 25*t**4 - 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -136, -364, -680, -1078, -1552, -2096?\n\"Answer: p**3 - 50*p**2 - 85*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1 + 1 + 2*b. Let o = 62 - 63. What is y(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 + 2278651?\nAnswer: 2278651.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3108 = 304. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3 - 15*p**2\/2 - 5*p. Let j be y(-6). Which is smaller: j or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 4, m: 1, t: 1, x: 2}. Give prob of sequence ex.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 + 2*s + 1. Let n be o(2). Let t = 19 + n. Suppose t = -2*h + 5*h - 186. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/864470 and -52\/3155?\nAnswer: 864470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 + 23*p - 13. Let m be (-9)\/(-18)*-8 + -1. Let a(b) = -6*b**2 - 21*b + 9. Let t(j) = m*h(j) - 6*a(j). Determine t(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4. Let n be i(0). Suppose -n*g - g = b - 19, g + 1 = -5*b. Solve 2*j = g*s - 28, -7*s + 37 = -3*j - 2*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 68, 134, 238, 386, 584, 838, 1154?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**3 - 3*s**3 + 2852 - 7*s**2 + 5*s - 2876. Let o(r) = -2*r**3 + 3*r**2 - 2*r + 12. What is -3*j(w) - 7*o(w)?\nAnswer: -w**3 - w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 + i + 11. Let r be p(-7). Let g be 8\/((-2)\/(-64)*r). Let b = g - 44. Solve -4 + b = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*z - 4*z. Sort z, -5, -3 in descending order.\nAnswer: z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426056 is divided by 141941?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101113 + -331?\nAnswer: 100342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/36*(2 - (-81)\/(-42))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5 = -h - o, 3*o = 4*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*b + 68 = 0. Suppose -69 = -3*y - 63. Suppose y*x + 25 + 2 = 3*m, -2*m = -5*x - 18. What is the remainder when b is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30105 divided by 293?\nAnswer: 30105\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -108 (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 3*u**2 + 6*u - 6. Calculate n(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 28*f - 19. Let r(v) = 0 - 4 - 4 + 2*v - 3. Calculate the remainder when 9 is divided by r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*z + 4453 = -0*z, -4*z + 3564 = 4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from gttggggggtt.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.96 + -0.04. Let h = i + 2. Let k = -0.08 - 0.22. What is the nearest to -3 in -5, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {h: 5, g: 2, i: 1, l: 2, b: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 67, 78?\n\"Answer: 11*c + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 872368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:23 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-396)\/(-720) + 0 + (-4)\/5. Is 136 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4)*-155*(-82)\/(-1271)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6124 divided by 6124.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.128822957 to 4 decimal places.\nAnswer: -0.1288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 181, -1, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1732008*v + 6 - 5 - 1.\nAnswer: 1732008*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*a + 64619 - 64625, -3*w - 27 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 48*s**2 - 648*s + 1088.\nAnswer: 2*(s - 8)*(s - 2)*(s + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w, -b + 2*b - 18 = 5*w. Suppose b*k - 3*q = -k - 2, 3*k - 9 = -3*q. Let z = 3.98 - -0.02. Put z, 5, k in increasing order.\nAnswer: k, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 4*o + 10. Let q be y(-8). Let f = q - -433\/5. Which is the closest to -1? (a) 4 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/2307 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*g - 3*u + 120, -g + 48 = 2*u. Suppose -5*b + 9 = -11. Calculate the smallest common multiple of g and b.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 13*i**2 - i - 11. Let h be l(-13). Suppose -h*p + 74 = -54. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 16. Give b(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19544, 19535, 19526, 19517?\n\"Answer: -9*l + 19553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1\/60*n**6 + 2\/945*n**7 - 1\/12*n**4 - n**2 + 7\/135*n**5 + 2\/27*n**3 + 12 + 0*n. What is f in y(f) = 0?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -18. Suppose 2*n - n - b = 0. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(2)*3*-2.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(7\/70). Let l = -58 + 81. Suppose -l = -q*c + 7. Solve -y = -3*y - c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.3, -2\/11, 3\/5 in decreasing order.\nAnswer: 3\/4, 3\/5, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 75*z + 1 - 69*z + 144*z + 2*z**4 - 29*z**2 in the form c*z**3 + b*z + a*z**4 + n + v*z**2 and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*f = -0*v - 5, -4*f = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -76*k**2 - 13*k - 12. Let z be w(-1). Suppose -5*v = -p + 52, 0*p - 4*p + 2*v + 172 = 0. What are the prime factors of z\/(-7) + 12\/p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 625*v**4 + 1350*v**3 + 204*v**2 + 8*v.\nAnswer: v*(v + 2)*(25*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 2*o**2 + o. Let q be v(1). Let m(c) = c + 1 - 3 + q. Let u(p) = -5*p. Determine m(u(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/30 - w**4\/24 - w**3\/6 - w**2. Let u be z(-1). Is 2 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 208?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1144193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37734 divided by -2?\nAnswer: -18867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 809 + -1082. What is the units digit of (-20305)\/(-21) + (-26)\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-329)\/(-14))\/((-21321)\/3046 - -7) + 6.\nAnswer: 17, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-7)\/14)\/((-2)\/228)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 1460 = -436*d - 15568 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*y - 3*r, -11 = 2*y + 4*r + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*c - 14*c + 3*c)*(-2*c - 2*c + 2*c).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**4\/4 - u**3\/3 - u**2. Let t(a) = a**2 - 6*a + 6. Let i be t(4). What is the units digit of h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-174)\/145 - 42552\/(-10). Suppose 163*h - g = 157*h. List the prime factors of h.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 + 112001?\nAnswer: 102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 - -226. Suppose -22*j + t = -2665. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 975 = 480. Let d = 3296 - f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 12090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + -2*sqrt(275))**2)*-4.\nAnswer: -4436 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(20)\/(sqrt(4) - sqrt(36)) + sqrt(5))*5)**2.\nAnswer: -50*sqrt(5) + 525\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 769357956 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 551045, 551028, 550993, 550934, 550845, 550720, 550553, 550338?\n\"Answer: -b**3 - 3*b**2 - b + 551050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -160 - 62017*b**3 - b**2 + 62019*b**3 + 43 - b**4 in the form r*b**4 + z*b**3 + t*b**2 + k*b + w and give w.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6181.\nAnswer: 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/11, -2\/21, 0.0236, 3\/4, -1\/4?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poopooboppopop. What is prob of picking 1 b, 1 p, and 2 o?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 59 + -9 + 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 16 = 2*u - 7, 2*u - 6 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 - -3) + -1)\/2. Let u be -2*(-11)\/(-14) + 2. Which is the nearest to p? (a) u (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14127\/(-36) + (-2)\/(-3). Let z = -398 - q. What is the common denominator of (-1)\/(54\/(-543)) + -2 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 18)*(0*y**2 + 4*y**2 - y**2).\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 - (1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (786\/2096)\/((-33)\/2)*-4\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let w(x) = b*x**2 + 0*x**2 - x**2. Let r(h) = -h. Let y(o) = 4*o. Let p(n) = 10*r(n) + 2*y(n). Calculate w(p(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}