diff --git "a/data/dm_maths/full_data/1229_11255.jsonl" "b/data/dm_maths/full_data/1229_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1229_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(i) = -i**2 - 2*i. Let v be z(-2). Suppose 4*q + 0 + 8 = v. Let h = q + 6. Which is the second biggest value? (a) -4 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0398 (b) 2 (c) 9 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, g: 1, z: 1, b: 3}. Give prob of sequence bi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 4*a**2 + 3*a - 21. Determine z(-7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18226 and -8?\nAnswer: 145808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 11. Let i = 12 - 19. Let h be k(i). Suppose 2*n - 32 = -3*o, -5*n + h*o + 38 = o. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t + 6. Let s(z) = -5*z - 7. Let h = -56 - -51. Let i(f) = f**2 - 19. Let n be i(h). Give n*s(b) + 7*o(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/26 + (-2 - -1). Let p be (0 + -3)*(-6)\/(-27). What is the closest to 2\/5 in 2\/15, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457 + 4*c**3 - 457 - 5*c to g*c**2 + k*c**3 + p*c + v and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k, -4*p - 12*k = -13*k - 907. Suppose -3*u + 164 + p = 0. What is the remainder when u is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from bemmtfm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12614*o. Let i(z) = 10*z**2. What is n(i(x))?\nAnswer: 126140*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 927472 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302911*t**2 + 5*t + 617 wrt t?\nAnswer: 605822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -151*h**3\/3 + 392*h**2 + 266*h. What is the first derivative of w(v) wrt v?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(704) + -5 + 2 - ((0 + sqrt(704) + 0)**2 + -5).\nAnswer: -702 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**2 - 2\/5*m**5 - 13\/12*m**4 - 1\/30*m**6 - m**3 - 4 + 3*m. Solve k(s) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 87985\/154 - 1143\/2. Find the common denominator of 59\/28 and f.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 5*t + 0 + 2*t**2 - 2)*(147*t - 37*t - 74*t).\nAnswer: 72*t**3 - 36*t**2 - 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 27 = 3*b, -37*b = -42*b + 2*h - 45 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 29 = -4. Let v = 39527 - 39402. Calculate the greatest common factor of v and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 51 - 53 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24\/31 - -470\/527. Let g be 116\/290 - (0 - 22\/(-30)). What is the biggest value in -4, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 1 (b) 3\/8 (c) -3\/4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13927731 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s. Let t = -4 + s. Let h(f) = -12*f**3 - 5*f**2 + 2*f - 1. Is h(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.24. Let o = -4.8 - 0.2. What is the second smallest value in o, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g. Let v be w(2). Let b = -3 - v. Suppose -38*c = 16*c - 34*c - 80. Solve s - c = -b*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*k + 6*k. Suppose k*b = 2*b + 21. Suppose -2*m = -b*m + 635. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w**3 + 14*w**2 - 14*w**2)*(0*w + 2*w - w) - w**4 + w**4 + 2*w**4 - 4830 + 4830 + 107*w**4 as m*w**4 + n*w**2 + q + d*w**3 + b*w and give m.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346488933 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(-1\/20)*g))\/g)\/(g\/g**(-9)))\/(g*g**15)**(1\/4) assuming g is positive.\nAnswer: g**(-279\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3. Let i(c) = -12*c - 180. Let j(v) = i(v) - 60*r(v). Let l(d) = -d. Let f(h) = 2*h. Let m(k) = 2*f(k) + 5*l(k). Determine j(m(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -126*o + 95 - 51. Solve 2*j + o = -q, -q - j = -2*j - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 1 (b) 9227\/11 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*240\/192?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -58. Suppose 3*d - 17 - a = -5*c, -3*d + 135 = -5*c. Sort -1\/2, d, 1 in descending order.\nAnswer: d, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 2*q. Calculate the lowest common multiple of g(-5) and ((837\/(-6))\/(-31))\/(2\/20).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 4*d + 3*d - 12*d**2 as b*d + w*d**2 + n and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-4)*(-112)\/504?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8289099.26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/17)*j*j**(-35))\/(j**(-10)\/(j\/(j\/(j*j**(-6\/7))))) assuming j is positive.\nAnswer: j**(-2699\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*v - 5 - 24178*v**2 - 1958*v**2 - 2.\nAnswer: -26136*v**2 + 147*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -142.96. Let l = -0.9600272 - k. Round l to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 18*d - 20. Let p be h(-17). Let q = p - -57. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-84)*(-10)\/(-190).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854759440 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.36378 and -3023?\nAnswer: 4122.70694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 133 = -3*p + 81, 3*k + 307 = 4*p. Suppose 29 = 6*y - p. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10848 - 5359. Is f >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + -1 + 908\/16. Suppose r = 4*d + u, 4*d + u - 48 = 2*u. What is the greatest common factor of d and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 32. Suppose g*z - z = 36. Suppose -z = -3*c - 0, 0 = -3*x + 5*c + 47. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26343951 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3229, 6535, 9845, 13165, 16501, 19859, 23245?\nAnswer: 26665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/(-100)*1*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 775.53 - -23.47. Sort -3, 0.1, m in increasing order.\nAnswer: -3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3250 - 7. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.1. Let l = 233\/4 + -58. Which is the closest to p? (a) -2\/5 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/120 - b**4\/12 + b**3\/2 - b**2. What is the smallest common multiple of s(2) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (731\/(-51) - -7)\/(4\/(-6)). Suppose -4*o - 231 + 967 = 0. Let n be o\/18 + (-4)\/18. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4112 and 7364849?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5613, 5053, 4111, 2787, 1081?\n\"Answer: -191*j**2 + 13*j + 5791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -17\/110 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - -1 - ((11 - 41) + 27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 3*x**2 + 77*x**3 + 78*x**3 - 3*x**2 - 159*x**3 - 5. Let t(o) = 2*o**3 + 2*o + 2. Calculate 2*n(s) + 5*t(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -85980, 9, 4, 5, 1, 0 in increasing order.\nAnswer: -85980, -1, 0, 1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.08 (b) -2\/197 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7 + 1 - 40*b**2 as a + g*b**2 + q*b and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = 29. Suppose 2*w - 3 - 1 = 0. Let n(m) = -m**w - m - m + 10 - 1 - 1. Let o(j) = -j**2 - 2*j + 7. Determine s*o(t) - 6*n(t).\nAnswer: -t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 3*f**8\/224 + f**7\/20 + f**6\/15 + f**5\/30 + 49*f**2\/2 - 138*f. Let y(l) be the first derivative of h(l). Factor y(g).\nAnswer: g**2*(g + 1)*(3*g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -35 + 43. Which is the smallest value? (a) -90 (b) -1\/4 (c) 2\/5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from wwxwwx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*z - 31*z - z**4 - z**4 wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8349713837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55113?\nAnswer: 3, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(2\/5)*(s**0)**(-38) assuming s is positive.\nAnswer: s**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*t)*(-1 + 0 + 2) + 60 + 74*t - 84*t + 8.\nAnswer: -8*t + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3085 * -6\nAnswer: 18510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 1. Let y(k) = -k**2 - 6*k + 2. Let w be y(-6). Let c be l(w). Let t = 3 + 1. Solve -t*x = -x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/25)*j*j)\/j**14 assuming j is positive.\nAnswer: j**(-298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 13. Let y(c) be the second derivative of c**4\/12 - 7*c**3\/6 + 3*c**2\/2 - 18*c. Let w be y(9). Solve 4*r = 5*b + w, h*r - 3*r - 16 = 4*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13251*g**2 - 15*g - 75. Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72\/5 of a milligram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2558 at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21878.\nAnswer: 2, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -112.\nAnswer: -112, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x + 2. Let v be l(9). Let u be (4\/(-10))\/(9\/(-30)). Factor -u*i + 2*i**v - 2\/3.\nAnswer: 2*(i - 1)*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 41*y**3 + 10*y + 0*y**2 - 7 - 42*y**3 + 2*y**2 + 4*y**2. Let v be 2*((-10)\/(-4) - -1). List the prime factors of w(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**6 - 3584694*x**4 + 31559276*x**2 wrt x?\nAnswer: 600*x**3 - 86032656*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4680 and -97\/48625200.\nAnswer: 48625200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = 0. Suppose s + 2*s - 3 = v. Solve -2*q - 4 = 2*p - 7*p, -q - s = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(1*(365\/30)\/(-73))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3\/3 + 224*t**2 - 12*t - 2016 = 0. What is t?\nAnswer: -168, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*s - 1, 14*i = 10*i - 3*s + 4. Solve 2*l + i = 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 923.149 times 0.5\nAnswer: 461.5745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 201211213?\nAnswer: 201211203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 26 + 8 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(130)*4)\/(sqrt(120)\/sqrt(48)))**2.\nAnswer: 53248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*g - x - 3, 0 = 3*g - 5*x - 2. Suppose 2*l - 24 - 34 = -3*w, 138 = g*l - 5*w. Calculate the remainder when 61 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 - j + 6. Let k = -12 - -20. Let o be d(k). What is the tens digit of (-3)\/(o\/(-28) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 5) to base 8\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -52*x - 7. Let k = -46 - -45. Let f be z(k). Let g be ((-6)\/(-4))\/((f\/24)\/(-5)). Is g <= -15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from {w: 3, s: 5, i: 5}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -3)\/(-1) + -2. Suppose v = 3*p - 16 + 4. What are the prime factors of (-676)\/(-36) + p\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k + 3*p - 4*p, 0 = 5*k + 2*p + 18. Let z be 3 - (-124)\/(-44) - k. Find r, given that 8\/11 - 6\/11*r**3 - z*r + 2*r**2 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 67. Suppose -3*g + k = -4*y, y - 70 = -2*g - 3*g. Let h(d) = d**3 + 5*d**2 - 8*d - 7. Calculate the remainder when g is divided by h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba5 - 0?\nAnswer: -ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13189, -29, 154.\nAnswer: -29, 154, 13189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 2 + 2 + (8 + 0 - 14)*(4*p**2 - 4*p**2 - p**2) + 0*p - p - 2*p**2 - p in the form l*p**2 + v + j*p and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:42 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b**2 - 2*b**4 - 7*b**2 + 3*b**2 + 9*b**4 wrt b?\nAnswer: 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2768 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 10*m**2 + 9 + 2 + 2*m in the form v*m + o*m**2 + y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/5 - 12*x**4 + 64606*x**3\/5 + 7596672*x**2\/5 + 286819936*x\/5 + 3513846528\/5 = 0.\nAnswer: -92, -31, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(4\/3))*t*t**(-2)*t*(t\/t**(3\/10))\/(t\/(t*t**(3\/17))))**21 assuming t is positive.\nAnswer: t**(-1631\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 23*r**2 + 24*r - 16. Let a be j(24). Let z be ((-249)\/(-63) - 5)\/(a\/30). Let g = z - 9\/4. Is 1 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1911 = -3*k, -10*k + 14*k = a - 468. Suppose -190*m + 188*m + a = 0. Is m a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from vjjjjjjjjvjvjjjjjjjv.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*b + 14, 31 - 10 = -b + 5*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25995b (base 12) to base 14.\nAnswer: -121459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + j**3 + 4*j**3 + (-2*j**2 + 0*j + 0*j)*(-5*j + 2*j - 2*j).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 3. Suppose 22 = 5*d + b, -3*d - d + 24 = 4*b. Let h be ((-26)\/(-52))\/((-1)\/d). Let w(l) = 5*l - 4. Calculate h*w(n) + 3*q(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 + 27*n**2 + 16*n**2.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63410 + -335?\nAnswer: 63064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 75120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-18))\/((-24)\/(-16)*(-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 11 - 2*s**2 - 9.\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*w + 40, -22 - 4 = -4*c + 2*w. Solve -c*h = 2*a - 7*a + 11, 0 = 5*h - 2*a - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 4*r + 7. Suppose -4*m = -1 - 11. Let v(w) = w**2 - w - 2. Let f(k) = m*y(k) + 8*v(k). Let s(o) = o - 1. Let i be s(5). Give f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 7*b**4 + 23*b + 36. Differentiate u(v) with respect to v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)*-3)\/sqrt(2))\/sqrt(7) + (sqrt(432) + -3 - sqrt(3))*-6)*5.\nAnswer: -345*sqrt(3) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2)\/((-54)\/420)*11271\/7514?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27050 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47433 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w - 14. Let s be 3 - (-2 - (-4 + 5)). Suppose 18 + 48 = -s*m. What is the remainder when h(m) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403337 take away 18.55?\nAnswer: -1403355.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821388 is divided by 22198.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 926 (c) 1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**(-8\/5)\/((y\/(y*y**2)*y*y)\/(y*y\/(y\/((y\/(y\/y**1))\/y)))))\/((y\/y**1)**(1\/4))**(-6\/13) assuming y is positive.\nAnswer: y**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 76*k + 29. Let d(i) = -i**2 + 15*i - 6. Let g(r) = 11*d(r) + 2*q(r). Let p be g(12). Let v = -26 - -29. Solve 11 + p = v*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3483*k**3*s*u**2 + 9*k**3*s*u + 33*k**2*s*u**2 - 12*k**2*s*u + 39*k**2*s wrt k.\nAnswer: 20898*s*u**2 + 54*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 353 + -9883\/28. Let g = z + -2\/7. Let p = 4.4 - 6.4. Which is bigger: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**3\/6 - t**2 - 7*t. Suppose 108*a = 102*a. Suppose a = 13*l - 11*l. What is y(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145581254*c**2 + 24180862 with respect to c.\nAnswer: 291162508*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*v - 14*d**2 + 82*d + 42741*v wrt d.\nAnswer: -2*d*v - 28*d + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7608853 (base 9) to base 15.\nAnswer: 559259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2070 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n*n)\/(n\/(n*n\/n**(2\/5))))\/(n**(-1\/3))**42 assuming n is positive.\nAnswer: n**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000479351 rounded to 7 dps?\nAnswer: -0.0000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -3, -2, 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*k - 2*k**3 + 122*k - 8*k**5 + 23*k**2 + 19*k**5 wrt k.\nAnswer: 660*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(525\/70)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/(14\/3 + -34 + 30). Suppose 0 = -k*g + 53*g + 1144. What is the highest common divisor of g and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:01 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 92\/375?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71a - -3?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37278\/2244 + (-25)\/(-77) + (-5)\/35. Which is greater: b or 16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 47 - 103)*(4 - 4 + 2*s).\nAnswer: -198*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 4, s: 2, x: 4, u: 2, a: 3}. Give prob of picking 1 n, 1 x, and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/389380637 or -1?\nAnswer: 2\/389380637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4591934l in millilitres?\nAnswer: 459.1934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/97 < -56186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.493*-40375.\nAnswer: 19904.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 5\/3. Suppose u - 4 = -q. Solve -u*r = -3*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*f = -129*f - 113*f - 27. Put 0, 7, -2, -11, f in descending order.\nAnswer: 7, f, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -447, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.016? (a) 3\/2 (b) 0.05 (c) -22\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/11)\/z)**(24\/5))**1)**6 assuming z is positive.\nAnswer: z**(-1296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*u - 5 + 2*u**3 + 0 - 173*u - 8 + 1.\nAnswer: 2*u**3 + 16*u - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a0 (base 14) in base 10?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5 - 133940*y**4 + 1118361288*y**3 + 48293194752*y**2 + 370961838720*y = 0.\nAnswer: -33, -10, 0, 16764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.51711815 to two dps.\nAnswer: 50.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + (-6)\/27. Let g = y + 3. Suppose g*i - 1 = 5. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33637 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 23*g = 24*g - 182, 5*c + 4*g = 905. Is 177 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus -40895.844830844?\nAnswer: 40911.844830844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let p be -2 + 2\/(-1 - x). Solve 0 = 2*i - p + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 245549*q**2 - 245549*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55580307\/475931 + -264425\/2812. Let u = c + 3\/1354. Calculate the common denominator of u and ((-213)\/33 - -3) + 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p**5*p)\/p)*p**(-2\/25)*p assuming p is positive.\nAnswer: p**(-102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 268 - 257 = 0. Let w = 308 + x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 105, 207, 357, 561?\n\"Answer: y**3 + 15*y**2 + 8*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 + w + 7. Give j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 + c + 1. Calculate p(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-183)\/(-2) - (4 - 0). Let g = 1579\/18 - x. Sort 4, 5, g in decreasing order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.679 + -0.53. Let a = 0.011 + n. Let m be (-136)\/(-612) + (0 - (-40)\/(-18)). What is the closest to -0.1 in a, m, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -16*f**2 - 9\/8*f**4 - 5\/3*f**3 + 0*f + 0. Differentiate j(l) with respect to l.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7125\/17 - -419. Put p, -0.1, -4, -0.12 in decreasing order.\nAnswer: -0.1, p, -0.12, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.68425 nanograms in milligrams?\nAnswer: 0.00006968425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 take away 101?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 619745 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59639 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-200)*410\/246.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 279. Let x = 131 - o. Suppose 4*p - x = -3*k, k - 2*p - 6 = 10. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -17 + (24 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j**5 + 267*j**3*z + j**2*z - 14*j*z + 2105*z - 2 wrt j.\nAnswer: 220*j**3 + 1602*j*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25415989 or 25415982?\nAnswer: 25415982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/787 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2*d - 2*d)*(0 + 1 - 3)*(5 - 2 + 1).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 13341735 = 2011735. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(605) + (sqrt(605) - sqrt(605)*-2)*5 + -1 - -1*sqrt(10)\/sqrt(800)).\nAnswer: -3 + 10563*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -840 = 92*q - 32*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 3*f**2 - 3. Determine o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.276 - 0.018. What is w rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 0)\/(5436\/(-1086) + 5) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1087243565266 + -3\nAnswer: -1087243565269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3893655.\nAnswer: 3, 5, 259577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 5.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35907*f - 69034*f + 36335*f + 6785 wrt f?\nAnswer: 3208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3212, 0.3, 0.1, 1573 in ascending order.\nAnswer: -3212, 0.1, 0.3, 1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/3 - 840\/(-45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, 1\/2, 140\/3, -5, 3, -3?\nAnswer: 140\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 2*p**3 - 7*p**3 + 15*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1 + -4)*(-3 - -4). Let f = 3 - 2. Sort f, w, -5 in increasing order.\nAnswer: w, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5 - 2. Suppose -16 = -2*b - 14. Put j, b, 4 in descending order.\nAnswer: 4, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 - 5*r - 1. Is v(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 9*q**5\/10 - 5*q**4\/6 - 29*q. What is the third derivative of k(z) wrt z?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12968\/233 or 55?\nAnswer: 12968\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56462, 225866, 508212, 903506, 1411754?\nAnswer: 2032962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 3, v: 4, f: 2, g: 6}. What is prob of sequence gaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 2. Let f be r(7). Suppose -78 = -4*i - f*i. Suppose 0 = i*h + 11 - 83. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/13)\/(6\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/2)\/(6 - 377\/52). Let k(o) be the first derivative of 6*o + 3\/2*o**j + 3 - o**3. Find r such that k(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 7*o + 21*o - 4*o - 7*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.4067 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 105 (b) -212.38 (c) -0.3 (d) 0.03 (e) 0 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 5*g + 15 + 12 - 4*g. What is the units digit of y(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1248*i**3*j**3 - 575812*i**3 + 2*i**2*j - 743*i*j**3 - j**3 wrt j?\nAnswer: 7488*i**3*j - 4458*i*j - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.316245618 minus -39?\nAnswer: 38.683754382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226774, 453547, 680320?\nAnswer: 907093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6845, -6811, -6719, -6539, -6241?\n\"Answer: 5*d**3 - d**2 + 2*d - 6851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*t + 19, -3*t + 0*c = 4*c - 29. Solve t*w - w = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16)**24 assuming a is positive.\nAnswer: a**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*m + 13, t - 17 = -4*m - 0*t. Suppose 2*w - y = -5*y, -2*w + m*y = -32. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -1. Calculate the remainder when 19 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(868\/(-2139)))\/((7*6\/168)\/(-1)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13)\/6)\/((-1391)\/(-156) + -9). Sort -1, 0, p, 9.\nAnswer: -1, 0, 9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1481 and -0.11.\nAnswer: 162.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llliziwhcwlcczhwizcw. Give prob of sequence lzlw.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*z - 0*t + 15, 0 = -3*z + 5*t - 29 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -305, -376, -505, -692, -937, -1240, -1601?\n\"Answer: -29*h**2 + 16*h - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 13. Let v = q + -46.9. Which is the nearest to -1? (a) -2\/13 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*t - 114*t - 5*t)*(-t**3 - 3 + 3) + (-2*t**2 - t**2 + t**2)*(8*t**2 - 5*t**2 + 4*t**2).\nAnswer: 189*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 5*t - 2. Let p be h(-3). Let j(z) = 28*z**2 - 2*z - 6. Let c be j(3). Calculate the highest common divisor of p and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77193 or 77188?\nAnswer: 77193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 1017690*q - 1017693 = 0.\nAnswer: -339231, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**2 + 42*q - 20. Determine p(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15582 less than or equal to -15582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120101 - 100010?\nAnswer: 1020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 8*g**2 - 19*g - 10. Calculate the remainder when s(-7) is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7173713*n**3 + 4179645*n wrt n?\nAnswer: 43042278*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 - 16*z**2 - z + 71. Let h(w) = -2*w**2 + 37*w + 8. Let j be h(19). Is g(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*d + 90 + 670. What is the remainder when 1271 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 19*q**2 - 7*q - 9. Let h be d(9). Let x = -3 + h. Suppose 4*p + 6406 = x*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*g - 394377 = -397017 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5149\/46341*(-9)\/199.\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 5. Let q be v(4). Let n be 2\/6 + 14\/3. Suppose -6*u + u + n = 0. Which is the closest to q? (a) -1\/6 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 2*p + 21. Suppose 0 = -2*a + 4, -2*j - 100*a = -96*a - 16. What is x(j)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20353\/112 + 1262\/7. Find the common denominator of b and -95\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.1. Let z = -0.2 + s. Let i = 11.4 - z. Round i to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-9)\/21)\/((-6)\/3171). Let r = a + 1315. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c + 7. Let w be b(-7). Let q be (-8)\/14 - 33\/w. Let f = q + 13. Calculate the remainder when 33 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -73, -63, -27, 41, 147, 297, 497?\n\"Answer: t**3 + 4*t**2 - 29*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97896*q**3*r - 8342557*q**3 - 10*r wrt r.\nAnswer: -97896*q**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 7 = -32*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 122 (b) 3\/5 (c) -1.3 (d) -0.03 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20166318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158925, -635757, -1430477, -2543085, -3973581, -5721965, -7788237?\nAnswer: -10172397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263.5 - 337. Let u = 72.01 + y. Round u to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102218221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7524.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/10 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47983 is divided by 5783?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 + b?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2. Calculate the least common multiple of 11 and v\/(-7) - (-136)\/14.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 8:57 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 50. Let x(c) = -c - 7. Suppose 7*g - 3*g = -12. Let u(q) = q + 6. Let v(o) = g*u(o) - 2*x(o). Give v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 8:00 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 32611.2845 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 119\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 306134232 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2804 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.8838 and 2?\nAnswer: -91.7676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.03 (b) -3 (c) 50 (d) 296 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 75. Suppose 38*d - 2337 = -627. What is the smallest common multiple of c and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*h + 3*h + 5 = 0, -b - 3 = 3*h. Let j(s) be the first derivative of 2 + 0*s**2 - 1\/12*s**4 + 0*s - 1\/9*s**b. Factor j(v).\nAnswer: -v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133*m - 496*m + 1329*m = 3932. Find n, given that -10\/7 - 16\/7*n**3 - 32\/7*n - 36\/7*n**m - 2\/7*n**4 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:32 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and 109\/219084.\nAnswer: 219084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 6215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 213342 times 0.9\nAnswer: 192007.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from mzj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 7*q + 8, 0 = -25*w + 23*w + q - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12592?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2) + 2)*(3 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15071 take away 9?\nAnswer: 15062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413253 divided by 333.\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 64 = -60. Which is the nearest to 0.06? (a) -2\/19 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005501209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 0.4, -1.1, 0.396.\nAnswer: -4, -1.1, 0.396, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5 - 36*o**3 - 6*o**2 - 19*o - 5 wrt o.\nAnswer: 60*o**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -3*q. Let k(l) = -4*l. Let a(f) = 11*f. Let m(p) = q*a(p) + 17*k(p). Let c(d) = 3*d**2 - 4*d**2 + 0*d**2. Determine c(m(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37475 - 3?\nAnswer: 37472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2268 and 3084.\nAnswer: 582876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - h. Suppose 48*l - 121 = 23. Let n(t) = t**2 + 4*t - 6. Let d be n(-6). Let b be l\/(((-27)\/d)\/3). Calculate v(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15835830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 3*a - 2. Let p be u(-4). What is the common denominator of -75\/4 and 2\/p*(-321)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14458 + -43375\/3. What is the nearest to 3.5 in 0.04, -0.2, -1, r?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1260744405 to five dps.\nAnswer: -0.12607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:39 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 15*o + 32. Give n(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, -93, -954, -1815, -2676, -3537?\nAnswer: -4398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n\/(n*n**4))\/((n*n\/(n*(n**(2\/13)\/n)\/n)*n)\/n**(6\/11)) assuming n is positive.\nAnswer: n**(-329\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from bbmbmbbbbbmbbbbmbb.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -623?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:15 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.20834 (b) 0 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 612*k**2 + 16*k - 15. List the prime factors of f(1).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z**7)**(3\/16)*(z**0)**46\/((((z**(2\/3)*z)\/z)\/z)\/(z*z**2)) assuming z is positive.\nAnswer: z**(7\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*p = -42, 5*p + 23 = 3*d - 40. Calculate the highest common divisor of 18 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98.05 - -96.05. Let y = -33966.30041 - -33968.3. Let u = h + y. Round u to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4266 + 32169 = 3*j, -37168 = -4*d + 2*j. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 23*a + 5 = 0. Let i = 1 + -3. What is the second smallest value in a, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -52 + 510 + -464?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*a + 22, -2*g + 16 = a + 2*a. Suppose 0*r - 6*r = 24. What is the closest to -0.1 in r, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28347 is divided by 930.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34414152 - 2323?\nAnswer: -34420515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/((d**6\/d)\/d))**(3\/19)*(d\/(d**(-2\/11)*d)*(d**(-13)*d)\/d)**(-4\/3) assuming d is positive.\nAnswer: d**(3242\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 8*x + 192. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155682 divided by -1\nAnswer: -155682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 - 440 - 2*a - a**2 + 418 + 4*a + 3*a. Let k be u(3). Calculate the greatest common factor of k and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28881 divided by 3209\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 9:24 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2477 + 2477 - 125*n**2 + 80*n**5. Let v(f) = 321*f**5 + f**4 - 500*f**2. Let m(i) = 9*o(i) - 2*v(i). What is the third derivative of m(b) wrt b?\nAnswer: 4680*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 15*u - 5. Let h = 29 - 45. Let l be g(h). Let p be 1\/3*(l - -1). Solve -5*n = 0, -4*w + p = -n + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-2 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2113461, -2113460, -2113459, -2113458, -2113457?\nAnswer: -2113456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 - 8*d**2\/3 + 10*d\/3 - 4\/3.\nAnswer: 2*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5900 = -4*u, 7*h + 2950 = 2*u + 10*h. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 1437868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, 4, -0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(2\/9)*v*v*v**(3\/10)*(v\/v**(-29))**45)**(2\/157) assuming v is positive.\nAnswer: v**(121867\/7065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191*k**3*u**2 - 2493*k**3 - 34573*k*u**3 - 196*k - 3 wrt u.\nAnswer: 382*k**3*u - 103719*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**9))\/g**(-4\/11) assuming g is positive.\nAnswer: g**(114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 3.7 (c) 1 (d) -3 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 3*n**2 + 175 + 5*n.\nAnswer: -3*n**2 + 175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from bxxqqqqqbqqbxcbqqqq.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 434580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 37*w = -43245. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 150. Suppose 3*z = s + 3*s - 60, 12 = -3*z. Calculate the greatest common factor of x and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -427135 + 4621?\nAnswer: -422314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -92*b**3 - b**2 - 3*b - 2. Calculate h(-1).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l**3 - 79*l**2 + 17*l + 30. Let p be d(-5). What is the biggest value in 5, -1\/8, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 - 207 + 261 - 59.\nAnswer: -45*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33953 or -33978?\nAnswer: -33953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 35 = 7*v. Let i(m) = 5. Let a(u) = 24. Let n(d) = 3*a(d) - 16*i(d). Let w(l) = -l - 16. Let q(x) = v*n(x) - 2*w(x). Differentiate q(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1428\/840)\/((-2)\/10) + 9 + -1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 62 + (4 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 560608*j + 2242496.\nAnswer: -4*(j - 140156)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 15*y + 176. What is n(-10)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 11 = -5*i + 9*p, 3 = i + 2*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 - 11*f - 2. Let c be w(6). Suppose s - d + 4*d = -9, -c*s + d = -16. Solve -2*p + 5 = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (22\/(-16 + 5))\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 875 + -893 - -4*(-2 - 69\/(-36)).\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j**4\/4 - 129*j**3\/4 - 333*j**2\/4 - 315*j\/4 - 51\/2 = 0.\nAnswer: -34\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920004 is divided by 191999.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q. Suppose -u + 9 = -2. Calculate the remainder when q - -1 - 0 - -20 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -53.00000026. Round o to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 855\/(-29 - -48) - (5 + 12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from aajajjaaaaaajjajfaf.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636363 (base 8) in base 13?\nAnswer: 1ca2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + ((sqrt(84) + ((-1*sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84) - sqrt(84) - sqrt(84)))*-6)\/(sqrt(175)*1*-5))**2.\nAnswer: 576*sqrt(3)\/25 + 43888\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*c = -6, 3*z = -z - 4*c. Solve -3*w = -4*w + z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 75\/5 - (1 + -1)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t - 6*t - 17 - 7 to the form l + r*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**4 + s**2 - 35*s**4 + 10*s**4 - 2*s + 12*s**4 to a + f*s**2 + m*s + c*s**3 + v*s**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -239.\nAnswer: 6\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n - 98 = -w, 3*w + 2*n - 298 = 0. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209 is divided by 1439?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (198\/44)\/((15\/(-18))\/5). What is the fourth smallest value in 3, -4\/3, -8, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.065. What is x rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.06, 0.01, 0.03, -2, 0.02, -25, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b. Let n(w) = 3*w**2 + 306*w. Give n(s(z)).\nAnswer: 12*z**2 - 612*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7163, -7162, -7161, -7160, -7159?\n\"Answer: s - 7164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45801?\nAnswer: 3, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m - 3. Let z be c(0). Let v be ((-96)\/2)\/(z\/2). What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*r = -135, -5*o - 4*r + 9 = -171. Suppose -2*m = -2*j + 18, -3*j + 15 + o = m. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/7392*66 + 1281\/168\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/154)\/((-9)\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54318 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -28. Let l = 255 + -259. Let c(s) = 4*s + 28. What is the lowest common multiple of m and c(l)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**2 + 29*z - 1\/12*z**4 - 1\/5*z**5 - 7\/6*z**3 + 0. Is v(-3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 14*i - 25. Give f(-18).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnbbnnnnb.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 not equal to -288\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295 divided by -459?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Let q be a(4). Let w(o) = -2*o - 1. Let b be w(1). Let i be (0\/(-1))\/b*-1. Are i and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 53, -3795 in descending order.\nAnswer: 53, 4, -3795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 57 + 29 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -295, -170, 17, 284?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 67.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54*(4\/(-6) + 1). Solve f = 5*w + y, 0 = -w - 2*w - 5*y + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 34*y**2 + 114*y + 115. Let a be j(-37). Solve 0 = l + a*f + 5 + 2, 8 = -3*l + f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, 3, 0.4 in increasing order.\nAnswer: -0.4, 0.1, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 303462491 a multiple of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:39 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 9*y**2 - 10*y - 3. Let n be o(-5). Calculate the highest common divisor of 42 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -3*y. Suppose 2*a + 8 = y*a. Suppose -424*j - 2236 + 9020 = 0. Calculate the greatest common divisor of a and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2480 - -2476. Let k(l) = -l**3. Let r(z) be the third derivative of 0 + 0*z + 0*z**4 + 0*z**5 + 0*z**3 + 2*z**2 - 1\/60*z**6. Determine g*k(s) + r(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 37094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5)*1*30\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 267 (b) 1 (c) -1\/3 (d) 2 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/600 + a**4\/15 - 16*a**3\/15 + a**2 + 14. Factor d(c).\nAnswer: -(c - 8)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - q**2 + 11*q**2)*(2*q**2 + q**2 - q**2) + 3*q**2 - 3*q**2 - 3*q**4 + (-5*q + 5*q + q**3)*(-q + 3*q + 0*q).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 6:18 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 27*h + 103. Let k be o(-27). Suppose -7*g = -x - 9*g + k, -4*x + 391 = g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.57909 months in decades?\nAnswer: 1.87982575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) 9 (c) -2.5 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 13) to base 3\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85548219?\nAnswer: 3, 28516073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175481.8695ms to weeks.\nAnswer: 0.00029014859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:38 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 7*a**4\/12 + a**3\/6 + a**2 - 33*a. Let j = 18 + 13. What is the remainder when j is divided by n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2474?\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4065950 is divided by 813187?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/19244 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10428\/(-59092)*187\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 + 227. Suppose -m*g + 16*g = 736. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35000 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 14*g + 24 = 0. Is -7 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*w - 653 + w**3 - 72*w + 708.\nAnswer: w**3 + 273*w + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -547 and -204367.\nAnswer: 111788749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3502516 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 6, 3, -2, -9, -18, -29?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2 + 0 + 4)*(-1 + 2 + 2)*(3*w + w - 3*w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.74, -3\/5, 0.2.\nAnswer: -1.74, -3\/5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let j = 0.1525 - -0.1475. What is the closest to 0.11 in -5, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650458.\nAnswer: 2, 825229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2324983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 104 = 4*z + 135, 2*r + 3*z = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5 (c) 117 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2142 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20 + (0 - 0))\/((-38)\/1463).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -65*s + 510. Determine w(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -595 + 714. Calculate the remainder when u is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011302201 - 0?\nAnswer: -2011302201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 13}. What is prob of picking 1 v and 2 x?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117884 divided by -45.\nAnswer: 117884\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28006 - -97706. What is y rounded to the nearest 1000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274944, -2274949, -2274958, -2274971, -2274988, -2275009?\nAnswer: -2275034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 902665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - z + 0)*(-4 + 4 - 4)*(9*z + 0*z + 3*z).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16945248, -16945239, -16945232, -16945227, -16945224?\n\"Answer: -b**2 + 12*b - 16945259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -410*i**2 + 5*i**3 + 410*i**2 + 2*i**2 - 2*i**2 + 2*i**3 + 5*i**3 + 0*i**3 - 3*i**3 + (2*i**2 + i**3 - 2*i**2)*(2 + 0 - 1) - i**3 + 1 - 1.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.23 + -9.17. Let o = x + 10.39814. Round o to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-15)\/25 + -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 27 = 1. Let b be (x\/(-35))\/(4\/5). Let n = 13\/3 - 4. Does b = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 304268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 523.8 + -525. Is 3 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -21446*d + 1951575. Determine l(91).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.41 - 0.71. Which is the smallest value? (a) u (b) -7\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.408442 centuries in millennia?\nAnswer: 0.3408442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 131 and 10269?\nAnswer: 1345239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, 86 in decreasing order.\nAnswer: 86, 2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/z**(-4))\/z)\/z)\/z)**(18\/11)*z**(1\/24)\/(z**(2\/25)*z*z))**(-20) assuming z is positive.\nAnswer: z**(-8147\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 0. Suppose 4*n + x + 12 = 3*i, 2*n = 2*i - 16. Suppose -c - 6 = c, -s - 5*c - i = 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: What is 106885230 to the power of 1\/3, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 783\/36540*2\/(-3)*4\/1\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(80)*4 + sqrt(5) - ((2*sqrt(25))\/sqrt(5) + sqrt(5)))*4.\nAnswer: -5 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - (1 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -20\/7623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -1\/5, 2, -8.431, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 623\/9 or -0.2?\nAnswer: 623\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9903 times -322\nAnswer: 3188766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**2 + 5*l**2 - 3*l**3 - 4*l**2 - 2 - 9*l - 5*l**2.\nAnswer: -(l + 1)*(l + 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -11 + 15 + 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1166\/3 or -288357?\nAnswer: -1166\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 75. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, -4, 7724?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-48) - (-814)\/12 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 36, 55, 74, 93, 112?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 266.93 + 12.87. Let w = z - 262.63. Let n = 17.881 - w. Round n to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1712 + 124*g - 122*g - 272)*(-7*g**3 + 4*g**3 - 7*g**3).\nAnswer: -20*g**4 - 14400*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.065 + -69. Let p = -4.935 - r. What is the closest to 0 in p, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*c - x, 0 = 3*c + x - 4*x - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*i - 63 - 79. Solve 8*b - i = 4*b + 2*f, b + 3*f - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l - 2. Let i = 3.6 + -4. What is the closest to -0.1 in l, -2\/21, i?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 0*t**2 + 0*t**3 - 5\/6*t**4 + 2 + t. Let i(k) = 5*k**2. Calculate i(z(x)).\nAnswer: 500*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8463, 34638, 78403, 139764, 218727?\n\"Answer: l**3 + 8789*l**2 - 199*l - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 7*x = -5*n - 41, -2*n - x = 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -1 - (494 + -466) - (-94 - -2 - -1).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 169755, 339609, 509463, 679317?\n\"Answer: 169854*q - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) -1 (d) 0.4 (e) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2507*z + 52647. Let x be w(21). Factor 0 + 12*g**3 + x*g - 3\/2*g**5 - 3\/2*g**4 + 18*g**2.\nAnswer: -3*g**2*(g - 3)*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.1. Let h = 0.7 - 0.8. Which is the closest to h? (a) r (b) 4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13121 - 3332300?\nAnswer: -10012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332104 - 222443?\nAnswer: -2110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 6*w - 3298. Let q = w - 505. Solve -q = l - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 8522, -3\/1907?\nAnswer: 8522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7396, -29481, -66288, -117817?\nAnswer: -184068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/55 (c) -0.08 (d) -4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12122102 (base 3) to base 12\nAnswer: -246b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.7 and -0.01033 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/55 + (-3)\/(-5). Suppose 0 = 2*a + 1281 - 1267. Put b, a, 3 in decreasing order.\nAnswer: 3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 4940, 11770, 21328, 33614, 48628, 66370?\nAnswer: 86840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18026293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5.2. Let m = w + -2.8. Let h = 3.5 - 0.5. Which is the third smallest value? (a) h (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 105*o**2 - 3007*o - 1067. What is p(29)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/289 - (-2070)\/12121.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s - 5*w = 71, -3*w = -4*s + 91. Suppose -2*m + 0*m - s = 0. Let i = 18 - m. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 9*n - 256. Factor 30*b**3 + 50*b - 60*b**2 + 59*b**4 - 128*b**4 + n*b**4 - 15.\nAnswer: -5*(b - 3)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*b**2*h*j*w - 65*b**2 + 5*b*h + 2*h*j*w**2 + w**2 with respect to j.\nAnswer: -11*b**2*h*w + 2*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -170*f + 1361. Calculate i(10).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -22. Find the second derivative of 22*j + 17*j**4 + 5*j**k + j**4 wrt j.\nAnswer: 276*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 9 = q, 1140 - 1133 = q + x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15613987?\nAnswer: 23, 31, 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 1. Let p be f(-5). Find the third derivative of 3*c**2 - 11*c**3 + 4*c**3 - p*c**2 wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 + -283.4. Let p = 43\/24 - 13\/6. Which is the nearest to 0.1? (a) s (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/14 and (-14)\/8*(-20)\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:51 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/26, -84 in decreasing order.\nAnswer: 1\/26, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 158.\nAnswer: 157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2. Let j(a) = 3*a**3 + 5*a**2 + 4. Calculate -j(b) - 5*v(b).\nAnswer: 2*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/(-9)*2\/(-3). Let j = 13 + l. Solve -21 - 19 = -5*w + j*i, -i + 16 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 1, j: 2, q: 9, h: 4}. What is prob of sequence js?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 816, 0.2, 1\/98, -4\/11 in descending order.\nAnswer: 816, 0.2, 1\/98, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 338 = 5*s, -64 = -s - j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12141 (base 6) to base 10\nAnswer: -1789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580609?\nAnswer: 3, 157, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/30 + 5*x**3\/6 - x**2. Is t(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*n = 1295 - 377 + 36 + 2466 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4*s - 1. Let l be q(3). Suppose -3*n - 6 = -3*k, -4*n - 4*k = -l*n - 2. Let o(g) = -3 + 3 + 1 + 0. Let f(r) = r - 3. Give n*f(h) - o(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 2:56 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -7. Let p(k) = -k**2 + k. Let t(f) = -4*f**2 + 0 + 2*f + 0. Let l be ((-2)\/(-4))\/((-1)\/4*2). Calculate l*t(i) + u*p(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43287997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 254*4\/16*2. Let x = q - 127. Suppose -10*c + 12*c - 180 = x. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 14.8. Let h = 1.8 + u. Sort 0.2, 4, h in ascending order.\nAnswer: 0.2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3, 5*y - 4*i + 12 = -0*i. Let v be (-2 - -3)*y + 2. Suppose -7*g + 8*g - 2 = 0. Solve -3*t - v = d, g*t - 2*d - 27 = 3*d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (1 + sqrt(75))*1 + 4 + sqrt(75) + sqrt(75) + 3 + sqrt(75) + sqrt(75).\nAnswer: 1 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1042131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/66 and -79\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.5, -4\/755, 0.5, 6, 0.07?\nAnswer: -4\/755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/20)\/(88\/(-110))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(4 + -3) + 24 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(48\/(-168) + 472\/(-14)). Solve 7 = -2*y + g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:58 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w. Let p be k(-6). Suppose -12 = 3*j - 5*t, t = -2*t + 9. Suppose -u = j - 10. Calculate the highest common divisor of u and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1855 + 1854.8. What is the nearest to -2 in t, 0.2, -5, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258736005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2868 = -2*v + 3334, 5*v + 2*h - 15483 = 0. Suppose 865 = 18*a - v. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*h*p**4 + 48*h*p**3 - 2*h - 22*p**3 - 14*p**2 - 2*p + 5943 wrt p?\nAnswer: -1176*h*p + 288*h - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 30200140110?\nAnswer: -30200140131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyvyyyyvy. Give prob of sequence vvy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56821*k - 126 = -8*v + 56820*k, 4 = v + 6*k for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.393 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(180) + sqrt(231)\/(sqrt(28)\/sqrt(4) + sqrt(7)))\/(sqrt(1584) + (sqrt(1584) - -1*sqrt(1584)*-4)).\nAnswer: -sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296955.\nAnswer: 3, 5, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5582 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 665 and 490?\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/11 (b) 1 (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4695 = -49*d + 4107 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 364358, 1458169, 3281430, 5834141, 9116302, 13127913?\n\"Answer: 364725*y**2 - 364*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 21*i + 4. What is the units digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 367 = -4*o + 1222, -3*o = -5*p - 1209. Let h = -151 + o. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1718 and 3722.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1787*(-2 - 95\/(-45)). Let p = 199 + f. Factor 2\/9*w + p - 4\/9*w**2 - 2\/9*w**3.\nAnswer: -2*(w - 1)*(w + 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -60*h**2 + 3*h + 3. Let y(x) = x**2 + x + 1. Calculate -d(a) + 3*y(a).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -21*m - 167. Calculate b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120 + 15040?\nAnswer: 14620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*d + 1 = 0, -s + 395 = -4*d + 436 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:20 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1083\/(-2527))\/(0 - 3\/2). Suppose 0 - r*s**2 + 2\/7*s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let o(m) be the first derivative of 22 - 46*m**3 + 53*m**3 - 2. What is q(o(n))?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7113729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 12*q + 11. Let h be ((-15)\/(-6) - -3)\/((-9)\/18). Let y be g(h). Put 7, 5, 2, y in descending order.\nAnswer: 7, 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107157 + -100271.9. Let i = -6243 + q. Let a = i + -686. What is a rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, c: 1, l: 7, g: 4, t: 5}. What is prob of sequence zt?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4028, -8059, -12090?\n\"Answer: -4031*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159207744 is divided by 123.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2850718787 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4810570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22782132 or -3?\nAnswer: 22782132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 616.7438 + -617.1. What is c rounded to two dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 5, 6.\nAnswer: -0.1, 0.3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 2 + sqrt(90)\/sqrt(2))**2 + sqrt(30)\/(sqrt(150) + 2*sqrt(150) + sqrt(6)).\nAnswer: 385*sqrt(5)\/16 + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 + 202 = -3*x + k, -5*k - 578 = 2*x. Let p = x - -297. Solve -6*j + p*j - 5*y + 37 = 0, 4*y = 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5665, -22580, -50769, -90232, -140969, -202980, -276265?\n\"Answer: -5637*k**2 - 4*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -740534102 divided by 29501\nAnswer: -25102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 77. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c34 (base 14) to base 11.\nAnswer: -a059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 + 3*r - 11. Let x be b(-5). Suppose -54 = 5*h - x. Suppose -5*q = 4*s - 421, -4*s + 0*q = -h*q - 448. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227980*l**4 + 2076*l**3*s + 4426*l*s - 5*l - 286*s + 9 wrt l?\nAnswer: 2735760*l**2 + 12456*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 147 - 609. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1252, -1293, -1370, -1489, -1656?\n\"Answer: -a**3 - 12*a**2 + 2*a - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.04732953 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 76. Let u be (35\/(-14))\/(k\/(-4) - 1). Solve -u*o = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b. Let w(g) = -14*g + 161*g - 55*g - 23*g + 51*g. Calculate w(q(t)).\nAnswer: -960*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28170 + 28172. Factor 0 - 1\/2*r**5 - r**q - 2*r**4 - 5\/2*r**3 + 0*r.\nAnswer: -r**2*(r + 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 94. Let k be (1*-167)\/((-9)\/3). Let y = k + j. Which is the closest to 0? (a) 5 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -300?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 17*a**6\/6 - 2*a**3 - 14. Find the third derivative of z(h) wrt h.\nAnswer: 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9357 - -514634\/55. What is the common denominator of z and -21\/610?\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31111 + 1212?\nAnswer: -23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6003 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + x = 18, 2*x = 3*u - 1 - 18. Suppose 0 = 5*h - 2*m - m - 225, 0 = -u*h - m + 225. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62469 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(187) - -2*sqrt(187)))\/((-3*sqrt(88))\/sqrt(8)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*l = 6*l + 1503, -2*d - 1523 = 5*l. Let h = 1734 + d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 67*n - 18*n - 1 + 9*n in the form j*n**2 + c + r*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1889 * 10768.\nAnswer: -20340752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166\/741 or 0.1?\nAnswer: -166\/741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - t + 1 - 10, 2*a - t - 3 = 0. Suppose -a*n = -4*n + 3. Suppose -r + 8 = n*r. What is the smallest common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -36*b - 116. Determine x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 469383, 469365, 469335, 469287, 469215, 469113?\n\"Answer: -o**3 - 11*o + 469395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 31, 53, 83, 121, 167, 221?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 - 11*t**2 - 22*t + 100. Let g(z) = -z**3 + z + 36. What is the remainder when k(5) is divided by g(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmm when three letters picked without replacement from mjjmmjjmjm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(6) + sqrt(18)\/(sqrt(3)*-2) + sqrt(6))\/(sqrt(72) - sqrt(2)) + (-1*sqrt(81))\/(sqrt(432) - (sqrt(432) - 1*sqrt(432))) + -5.\nAnswer: -5 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 96.28?\nAnswer: -48.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.1. Let w = 3202 - 3202.4. What is the second smallest value in 1, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151 - -152. Let u(t) = 20*t - 72. Let c(m) = -2. Let s(o) = d*u(o) - 6*c(o). What is the tens digit of s(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(20\/3)\/(o\/o**(-4\/5))*(o*o*o**(-1))**(-1\/42) assuming o is positive.\nAnswer: o**(339\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a - 5. Let m be 0\/((-3)\/(a - 1)). Let t(x) = 4*x + m*x**2 - x**2 + x - 2. Calculate t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2762\/495 - -28\/5. Let n = z - -289\/396. What is the biggest value in 0.6, n, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 9*j - 5*j + j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and 29\/1704.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1188 and 3960.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, -4, 138?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 11*v**2 + 11*v - 5. Let q be g(10). Let s(c) = -5*c + 28. Let z be s(q). Is z bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2769564 divided by 4.\nAnswer: -692391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-10))\/((-15)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 380*f**2 - 1325*f - 180. Let x(y) = -63*y**2 + 221*y + 30. Let p(z) = -6*r(z) - 35*x(z). Factor p(n).\nAnswer: -5*(n - 3)*(15*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-90)*-25 + -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 6*v + 26*v - 257 - 5*v - 10*v to t + k*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/61, 0.2, -1 in ascending order.\nAnswer: -1, -2\/61, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422 + -6?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 17 = -7*r - 5*f, 5*r = -3*f + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327 - 54. Let k = 1735062.91366 + -1734789.913660234. Let p = d - k. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22113479 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -1\/7, -5, 1 in descending order.\nAnswer: 1, -1\/7, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**0*w))**32*(w**(2\/3))**(-18\/11))\/(w**(-2\/3)\/(w\/(w*w**6)))**(34\/5) assuming w is positive.\nAnswer: w**(-11444\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = -2*q + 18, -5*v = 2*q - 60. Let z(b) = b**2 - 15*b + 4. Let d be z(15). Solve m - 10 = 6*m, -4*m = -d*a + v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3339540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -315 - -470. Let j = 467\/3 - s. What is the biggest value in -34, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -25. Suppose 3*u + v = 10. Suppose -5*j = u*a - 1999, -2*a + 1330 = 3*j + j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let m(t) = 2*t**3 + 18*t**2 + 8*t - 165. Let h be m(-6). Sort -36, h, s in descending order.\nAnswer: h, s, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -7, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.4. Let l = 78 - 81. Sort g, l, -1 in ascending order.\nAnswer: l, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/57)\/(14\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j + 2)*(-1 + 1 + 2) + 5*j - 4*j + 0*j - 232*j + 11 + 113*j + 115*j.\nAnswer: -j + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 32. Let h(j) = -2*j**2 - 406*j. Determine k(h(w)).\nAnswer: -4*w**2 - 812*w - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 28*w**3 - 396*w**2 + 1188*w - 1080.\nAnswer: 4*(w - 3)**2*(w - 2)*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -12. Let n be q - (67114*1 - -1). Let u = 217112 + n. Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 33 - 62 + 26 - 102*t - 62*t**2. Let q(m) = -61*m**2 - 101*m - 2. Let x(n) = -2*o(n) + 3*q(n). Find the second derivative of x(d) wrt d.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2)*z)\/z*z)**(-39)\/(z**6)**(-34) assuming z is positive.\nAnswer: z**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a72 - 2ca1?\nAnswer: -3a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -1\/2*s**4 + 0*s**2 - 6 + s**6 + 4\/3*s**3 + 0*s - 8\/5*s**5. Determine p so that g(p) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/3))\/r*r\/(r*r*r**6))\/(r**0*r)**(-10)*(r**5\/r*(r*r**(-4)\/r)\/r)**28 assuming r is positive.\nAnswer: r**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*5*(-1*sqrt(112))**2 + (1*sqrt(112) + 4 + (sqrt(112) - 1*(sqrt(112) + -3 - sqrt(112)) - sqrt(112)))**2.\nAnswer: 56*sqrt(7) + 6881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(91)\/sqrt(7) + 4 + sqrt(13) + sqrt(104)\/sqrt(8))*-2.\nAnswer: -8 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/52658421 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15147*d*y + 2994*d + 3461216*y - 103 wrt d.\nAnswer: -15147*y + 2994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 132\/7*d - 3\/7*d**2 + 105.\nAnswer: -3*(d - 49)*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 189778917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6293600)\/(-45) - (-14)\/63 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1 (c) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*x + 14, 2*b + b + 15 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 20*i - 90. What are the prime factors of a(17)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:10 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 765834862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1 (c) -2\/7 (d) 0.1 (e) 3\/7 (f) 1347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317657.2996 rounded to the nearest one hundred?\nAnswer: 317700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -8*d**2 + 0 - 3\/35*d**7 + 0*d**5 + 1\/3*d**3 + 0*d**4 + 0*d + 0*d**6. Find the first derivative of n(z) wrt z.\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -5.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9 - 1.1. Let k = -20 - y. Put 0.4, k, 0 in ascending order.\nAnswer: k, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1064 times -1591\nAnswer: -1692824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/(-14) - 6\/21. Suppose -3*v = -c + 7, o*c + v = -c + 15. Suppose -q = 4*a - 35, 3*a + 125 = c*q + 4*a. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/809 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from frufehfrhfzh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 6092*u + 1323886\/7.\nAnswer: -2*(u - 21353)*(u + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 3*g**2 + g + 2. Let y(h) = -5*h**3 - 6*h**2 + 13*h + 4. Let c(s) = -2*u(s) - y(s). Give c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36847.86 litres to millilitres.\nAnswer: 36847860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040*j**2 - 2101*j**2 + 1048*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 324 = -334. Suppose -5*s + m = 2*x, 3*x = s - 0*s + 158. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309626 and 14394688?\nAnswer: 5842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 360, 200, -28, -330?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2)\/(s\/((s**(3\/2)\/s*s)\/s)))**15\/((s*s*(s\/(s*(s*s\/s**(-5\/4)*s)\/s))\/s)\/(s**1\/s)*s**(4\/9)\/s*s*s*s**1*s) assuming s is positive.\nAnswer: s**(1307\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 306 + 7?\nAnswer: 30d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -862 - -928. What is the remainder when 483 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**2 + 1 + 22190*s**3 - 1 - 129*s - 11089*s**3 - 11103*s**3 as l*s**2 + q*s + b*s**3 + d and give q.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 7. Suppose -3*a = -2*c + 1, -a = 4*c - 17 - t. Suppose 4*j - 31 = -19. Solve 1 = 3*x - 2*v + 16, -j*x - a*v - 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/13 + 198*b**4\/13 + 408498*b**3\/13 - 86391158*b**2\/13 - 3676320*b\/13 + 777504384\/13 = 0.\nAnswer: -493, -3, 3, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let u(r) = 72*r + 10. Calculate u(k(v)).\nAnswer: 72*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1035 + 558\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = p. Suppose -5*r - 11 - 37 = -2*m, -p*r = 0. Suppose -2*c + 0*c + m = 0. What is the remainder when c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from bqtqbor.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 8*n**2 + 1\/4*n**5 - 27*n + 0 - 13\/3*n**3 - 37\/12*n**4. Factor h(x).\nAnswer: (x - 8)*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 5*x + 5 = 0, 3*x = -i + 5. Solve i*k = 9*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/117895 and 7\/1640.\nAnswer: 38669560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 68. Let i = p - 38. Let a = i + -1.9454. Round a to three decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -137*x**3 - 1358*x**2 + 118*x - 22. What is r(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 668291 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: Let l(k) = -118*k + 53. Let s(m) = 6*m**2. What is l(s(q))?\nAnswer: -708*q**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 49, 78, 111, 148, 189, 234?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833953 divided by 28757.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.8208 + -28.1982. Let a = -35 - i. What is a rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 2*s + 4. Let p(d) = 4*d**2 - 5*d - 9. Suppose 0 = x, 0*x = h + 3*x + 4. Let o(y) = h*p(y) - 9*n(y). Determine v so that o(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2420\/308 + 3\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:00 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1624976 - 14?\nAnswer: -162498a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 80 = -3*f. Let x be (-1)\/4 - f\/16. Let c = 2 - x. Solve c - 5 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/12 + 10*z. Let v(r) = -6*r**2 + 2*r**2 - r**2. What is p(v(o))?\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-21)\/(-7) - 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750768478 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 10674421?\nAnswer: -10674421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 30*c**2 + 20*c + 118. Is z(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*k**3 - 130*k**2?\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 459400?\nAnswer: 1378200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 161 - 10*l**3 - 4*l + 10*l**2 + 4*l**2 - 161.\nAnswer: -2*l*(l - 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80392?\nAnswer: 2, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 44 = 3*w, 4*u - w + 22 = w. Let g = 8 + u. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -0.5 (c) 0 (d) -1 (e) -167\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o - 18. Let t be f(-5). Suppose 3*j = c + 6, 2*c + j = -t*c + 2. Suppose 9*n - 7*n - 224 = c. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r + 210. Calculate the remainder when 63\/r - 67\/(-2) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*o - 5*j, 14534*o - 14533*o + 4*j = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.079 (b) -29 (c) 6\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:01 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*r**2 + 2*c**2*r + 28*c*r**3 + 152*r**3 wrt c?\nAnswer: 2*c*r**2 + 4*c*r + 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -49*p**2 - 1 - 5*p - 25 + p + 60*p**2. Let k be r(6). Let v = 22 + k. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -334*t**2. Let n(w) = -121*w**2. Calculate g(n(h)).\nAnswer: -4890094*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 393, 537, 555, 405, 45, -567, -1473?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 + 10*o**2 + 15*o - 15 - 2*o**2 - o**2. Suppose -3*p = -0*p + 48. Let q be m(p). Solve -q - 3 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 17, 20, 21?\n\"Answer: -f**2 + 8*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/4350 and -49\/20716875?\nAnswer: 41433750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-628)\/(-26) + (-6)\/39. Suppose w = i*w - 5405. Is w equal to 235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - 2*d**2 + 3*d - 2. Let k be c(2). Solve q = -4*y - 20, -2*q = q + 2*y + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (0 + 7)) + (8 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 15*l + 31. Let i be a(13). Let g = 326 - i. Let c = g + -120. Calculate the remainder when 125 is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 227267?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3184495 = -37*i - 58*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/5 - 408*p**4\/5 - 14649*p**3\/5 - 51864*p**2\/5 + 14652*p\/5 + 52272\/5 = 0.\nAnswer: -66, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, 4, -0.05, 2\/131, 7, -4\/13, 0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*x + 15 = -17, 0 = -d + 3*x + 26. Suppose 5*t = -2*f - 8 - d, 5*t + 13 = -4*f. Solve 5*w - j - f = 0, 0*j + 2*j = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1 - 2) + 2 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 5527 = 33*s - 4529. Solve s*d = 418*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 130?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1074272 divided by 16.\nAnswer: 67142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81161 and 2287189?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -273 + 283. Solve 7*r - d = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3988623 is divided by 319?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 27232*o**2 - 545840*o - 2731200 = 0.\nAnswer: -10, 6828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(152) + sqrt(152)*2 - sqrt(152))*3)\/(sqrt(8) + (sqrt(512) - sqrt(32)) - (sqrt(72)\/(-1*sqrt(9)) + sqrt(8))))**2.\nAnswer: 10944\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3\/4)*b**(3\/2)*(b**(-2\/11))**(-12))**(-10))**(-17) assuming b is positive.\nAnswer: b**(20315\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*h**4*r**2 - 2*h**2*r**2 - h*r**2 + 7*h*r - 17*r**2 wrt h.\nAnswer: -396*h**2*r**2 - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - -30) + 36 - (1 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(3\/5))\/m)**(2\/11)\/(m*m**4*m*m\/(m*m**(1\/2)*m)*m))**(-2\/55) assuming m is positive.\nAnswer: m**(573\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 - 1 + 1)*(5*h - 9 - 2 + 7) to the form q*h**2 + l*h**3 + k*h + u and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. What is the lowest common multiple of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1419)\/22)\/(-43))\/((-3)\/(-28))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 535 - 125. Suppose 5*u = -3*t + 22, 2*u - 3*t = -3*u - 2. Suppose u*b + 3*b - x = 0. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408333494 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7*k = 9. List the prime factors of -1*1179*(-6)\/18 - k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 66.26. What is the nearest to -1 in -0.2, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a - 32. Let k be p(-7). Calculate the highest common factor of 44 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5182 - -5170. Let r(o) = 2*o - 26. Determine r(f).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 10\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18*11.228\nAnswer: 202.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/420 and 47\/504.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 1 + 7. Let i be (c - 0 - 4)*-1. Suppose 2 - i = -t - 5*d, 2*d = 5*t + 29. What is the smallest value in t, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 107141?\nAnswer: 535705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12*h**2 - 3*h**2 - 1 + 2 + 2*h**4 in the form y*h + u*h**4 + w*h**3 + j + a*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156710*n**3*x + 61*n*x + 7*n - 18*x - 3 wrt n.\nAnswer: -940260*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*4*sqrt(288))\/sqrt(12))\/((-2*sqrt(96))\/sqrt(8) + sqrt(768) + -2*sqrt(768)))**2 + -4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948 and 86031?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(12\/11)\/(m\/m**(3\/14)) assuming m is positive.\nAnswer: m**(47\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 10*g. Suppose 20*u - 24*u = -y - 2348, u - y - 590 = g. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 1 l when three letters picked without replacement from jkaaaly?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-594)*36\/(-150)*5*15.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12067095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a2 + 1?\nAnswer: 17a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7143 and 1470.\nAnswer: 3500070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**3\/7 + 23231*p**2\/7 - 108354*p\/7 + 61912\/7 = 0?\nAnswer: 2\/3, 4, 7739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -590, -1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11010002011121?\nAnswer: 11010002011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125474383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143448074?\nAnswer: 2, 7, 11, 17, 157, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111.7 + 112. Which is the smallest value? (a) -0.2 (b) v (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k + 4. Let h = k + -1. Suppose -4*t + 1034 = 3*p, -h*p + 220 = t - 45. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 105212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/42)\/((-318)\/(-10017))*(-42)\/4.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001149655145 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/52, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 146 = 5*c - 165, -3*v - 3 = 0. Suppose -2*q = -2*x - c, 3*x - 96 + 0 = -4*q. Suppose 5*s - 268 = 1217. What is the highest common factor of s and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 260452, 260447, 260442, 260437, 260432?\nAnswer: 260427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -1 + 1\/4*f**4 - 5\/3*f**3 - 3*f + 3*f**2. Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4837*o**4 + 0 + 5102*o**4 + 0 + (0*o - o - o)*(o**3 + 0 + 0) to the form x*o**4 + l*o**3 + z*o**2 + q + n*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3916*b = -115251 - 53137 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxuewe. What is prob of sequence weu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -241\/589590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 8*f - 7. Let k be q(9). Suppose 0*j + j = -k. Sort j, 5, 1.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (sqrt(99)*1 + 1 - (4 + -4 + sqrt(99)))**2*6)*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467 is divided by 805?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefopyg. What is prob of sequence eo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071611 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -60 and -422\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 + 2*j**2 + j - 3. Let r(c) = 8*c**3 + 5*c**2 + 3*c - 7. What is 5*d(y) - 2*r(y)?\nAnswer: 4*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = y, -4*l = -y - 1 - 7. Let o(s) = 291*s + 872. Let t be o(-3). Let w(c) = -7*c + 2. Let z be w(1). Put -2, y, z, t in increasing order.\nAnswer: z, -2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82726581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -15. Let z(b) be the first derivative of -b**2 + h*b + 2 + 2\/3*b**3. What is the second derivative of z(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 2*m**2 - 2*m - 2. Let s be o(-2). Suppose 24 = 4*r, -n + 7 = -204*r + 206*r. Sort s, 0, n in ascending order.\nAnswer: n, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3473, 3378, 3291, 3218, 3165?\n\"Answer: o**3 - 2*o**2 - 96*o + 3570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13872*a + 6992*a + 6943*a.\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 0, -2863 - 2773 = -z - 3*w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 41085996?\nAnswer: 205429980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9679000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 5*c + 9. Let k(r) = 4*r**2 + 8*r - 14. Determine -5*k(l) - 8*t(l).\nAnswer: 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-18)\/(-8)*(576\/1323)\/16)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -18, 5376, -1, -5 in descending order.\nAnswer: 5376, 2, -1, -2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260 - 692 + 37*y + 433 + 1925*y**4 + 11*y**2 wrt y?\nAnswer: 46200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Let i be 42\/(-3) - (0 - f). Round i to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 734 + 610. Let w = c + 672. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/90 and 27\/650?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2 - 1199955*a - 1199958 = 0?\nAnswer: -1, 399986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717, -720, -723, -726, -729?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 74\/((-14 - -17) + (-1 - 1)). Let k = -56 + x. Let d(m) = -m**3 - m + 8. Calculate the least common multiple of d(0) and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 - 19\/30*y**5 + 20\/9*y**4 + 2\/45*y**6 + 0*y**2 + 25\/9*y**3 - 76*y. Factor v(f).\nAnswer: 2*f*(f - 5)**2*(2*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.78941 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211022 (base 8) to base 10.\nAnswer: 332306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - o + 2*o)*(-2*o - 2*o + 2*o) - 2*o**2 - 2*o**2 - 11*o + 9*o as m*o + w + b*o**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 869346.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.6. Let z = 1.5 - r. Let g be (-1)\/(2 - 0) + -2. Which is the third smallest value? (a) g (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 10:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7509.102 to the nearest ten.\nAnswer: 7510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 23*n + 27. Let m be q(24). Determine l, given that 0*l**2 - 2\/5*l**m - 4\/5*l**4 + 0*l + 0 - 2\/5*l**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 + 0*h**2)*(-4 + 4 - 2*h**2) - 4*h**4 - h**4 + 2*h**4 - 3*h + 4*h - h + 14*h**4.\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**2 - u + 0 + 1\/60*u**5 + 1\/36*u**4 + 0*u**3. Factor x(y).\nAnswer: y**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -222312401?\nAnswer: -222312401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39934.\nAnswer: 2, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 2*u**2 - u + 21. Let m be p(-7). Let c = m - 194. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132.667292, -3\/4, -1\/6, -0.3 in increasing order.\nAnswer: -132.667292, -3\/4, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35630 (base 8) in base 12?\nAnswer: 89b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3441*n - 39571 = -2038*n + 406*n + 3844*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10010033320 - -10?\nAnswer: -10010033310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 41*q - 7*z - 1506 = 0, -3*q - z + 2282 = 0. List the prime factors of q.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405))**2 + (sqrt(180)*-3 - sqrt(180)).\nAnswer: -24*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 21.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-18) + 6\/36. Suppose d = -5*a + 37 - 2. Suppose 9748446 = a*o + 32148446. What is o rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (5*sqrt(54)\/sqrt(6))\/sqrt(3) + 2 + 1.\nAnswer: 7 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = 26. Suppose 3*p = -2*p + 70. Is (13 + 1)*l\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138508\/51 - -2716. Is i equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u**2 + 430*u + 68. What is q(36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10302322132 + -11?\nAnswer: 10302322121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8345908 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/3 + 2)\/(1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*j - 16, 975*q + j = 979*q - 4. Let -36*m - 1\/4*m**4 + 3*m**2 + q + 2*m**3 = 0. What is m?\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-11 + -2))*6\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*x - 33*x + 3*s - 10, -5*x = 4*s - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -2\/21*f**7 + 82*f - 1 - 26\/3*f**3 - 12*f**2 + 6\/5*f**5 - 4\/3*f**4 + 4\/15*f**6. Find w such that u(w) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, -270224, 1 in increasing order.\nAnswer: -270224, 1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 66. Let f be h(21). What are the prime factors of 366*1\/(-9)*f?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160733 is divided by 450.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117 + 116)\/((5 + -2)*(-3)\/171).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((28 - (7 - -14)) + (-2 - -5) + -24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -60\/13 (b) -8 (c) -5 (d) 2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -64. Calculate the remainder when 46 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12\/s*s\/s**(-1\/2))**(-41)\/((s\/(s\/((s\/s**(-1\/5))\/s)))**(-4)\/(s**2)**19) assuming s is positive.\nAnswer: s**(-4737\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60001 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b91 (base 14) in base 13?\nAnswer: -2399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:35 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - o**3 + 9)*(-1 - 3 + 2 - 1 + 0 + 0 + (0 - 1 - 2)*(-4 + 4 - 3)).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*-1*2)\/((sqrt(126)\/sqrt(2))\/sqrt(9)*-6)*-2.\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4125 + 1c?\nAnswer: -4109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 103. Let f = b - -92. Suppose -10*r = -12*r + f. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1391 + -1390.9748. What is b rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(-75)\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 30. Let i be s(-24). Suppose -i = -7*r + 4*r, 3*k = 4*r + 46. What is the smallest common multiple of (30\/9)\/((-2)\/(-9)) and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 4*sqrt(243))**2*-6 + (-5 + -3*sqrt(147))**2.\nAnswer: -35102 + 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2650 - -4587. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:16 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.113531*-0.088.\nAnswer: -0.009990728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10086 + 10089. Solve p*t = -4*q + 6 - 4, 4*t = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4513*q - 293*q**2 + 4559*q - 9072*q.\nAnswer: -293*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 931*t + 960*t + 949*t + 2*t**3 - 3811*t - 2 + 934*t + 8*t**2 as v*t**3 + g*t + y + f*t**2 and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 + 319443*b - 5429664 = 0. What is b?\nAnswer: 17, 106464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 18*f - 40. Let p be (-2)\/3 + (-554)\/(-3). Suppose -4*o = -2*u - 168, 2*o + f*u = -2*o + p. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11904 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(162) + 5*sqrt(6)\/sqrt(3) - (sqrt(162)*2 + (sqrt(6)*1)\/sqrt(3)).\nAnswer: -5*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-12)*154\/2541.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*c - 84 = 344 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148005910 is divided by 756?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -315348 divided by 2\nAnswer: -157674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 - d**3 - d**3 - 2 + 6 - 27*d**2 + 5*d**2 - 2*d to i*d**3 + f*d**2 + k*d + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -36?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*q - 3*q + 46, -u - q = 12. Is u greater than -71\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(90\/(-420)*21).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*y - 100, 2*y = -3*z - 2*y + 148. Calculate the greatest common divisor of z and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 25*k**2 - 51*k**2 + 25*k**2 + 4*k - 4*k. Suppose 2 = 5*t + 7. Calculate l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.36 rounded to 0 decimal places?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:21 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -43 - 14. Put -5, -3, d in ascending order.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-16*t - t**2 + 1 - 11*t - 5*t).\nAnswer: -t**2 - 32*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 30. Solve r + o = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1072)\/(-368) + (-18)\/(-207). Solve 5*m - 44 = -q*u - 60, 4*m + 3*u = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 719 - 329. What are the prime factors of m?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**3 - 61*p**2 + 5*p + 137. Is j(-9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m*m*m**(-1\/10))\/(m**(2\/5))**(-1\/27))**(-34) assuming m is positive.\nAnswer: m**(9571\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let v(a) = -3*a**2 - 2*a - 17. Give v(m(s)).\nAnswer: -3*s**2 + 2*s - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.1923 + -0.8077. What is the third smallest value in -1\/56, -4\/3, g?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 24 = 4*r, 3*x - 3*r + 2*r = 24. Suppose 0 = x*y - 649 - 6927. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/12 + 3*r**3\/2 - 5*r**2 + 6*r + 2. Let w(v) be the first derivative of u(v). What is w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*x + 15 = -10, 3*u - 18 = -3*x. Solve 10 = -u*j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/695?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 9602778*w - 268875432.\nAnswer: -3*(w - 3200898)*(w - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 6*r**2 - r**2 + (124 - 8 + 27)*(9*r**2 + 12 - 12).\nAnswer: 1284*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + ((-15)\/(-275))\/((-10)\/(-350)) - 9.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4 - -12) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.7, 7, -32, -2\/7, -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10)\/(2\/110). Suppose -4*d + 83 = -z. Let x = d - 15. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 0.2159604\nAnswer: -0.015117228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, g: 4, n: 2}. What is prob of sequence nggv?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -439 and -779 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/104, 29, -1.3, 1\/2 in descending order.\nAnswer: 29, 1\/2, -1\/104, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 10*n - 5*n. Let b = n + 21. Solve 4*q - 3*d = 2*d + b, -4*q - 4*d = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202220022210 (base 3) in base 10?\nAnswer: -411393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let q(v) = -v**2 - 4*v + 4. Let d be q(-5). Let z = 2.3 - 2. Which is the closest to j? (a) d (b) 2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 29*k + 81. Let z = -113 + 139. Let y be f(z). Solve -4*j + y*x = -19, -j - 20 = -6*j + 3*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(99))*-5 - (1 + sqrt(99) + 3)) + -2.\nAnswer: -54*sqrt(11) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 22 + 1 - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77974*i + 38988*i + 38986*i + 10*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186770910 to the power of 1\/2, to the nearest integer?\nAnswer: 13666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 8*v**2 - 8*v - 13. Give k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1526, 3055, 4570, 6065, 7534, 8971, 10370, 11725?\nAnswer: 13030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 36*d**2 + 379*d + 1108. Give o(-44).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-4))\/(-3) + -2. Let p(k) = 1. Let w(b) = -b - 9. Let g(s) = -p(s) - w(s). Let j be g(-4). What is the third smallest value in j, -4, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 90. Let z be x(18). Solve z = -8*i + 4*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((4 - -2) + -9) - 1 - -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50329 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3812\/87 > -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1356139, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -493 - -21693\/44. Find the common denominator of ((-122)\/(-40) + -3)*(-195)\/(-6) and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*i - 26. What is the third derivative of -6*b**4 + 0*b**i - 2*b**3 + 41*b**2 - 10*b**2 + 44*b**2 wrt b?\nAnswer: -144*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1 = -7, 8*d = -13*j + 8*j - 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1411\/85 + -17 - (-42)\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlxxhlhhcadxacacxlcx. What is prob of sequence xa?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) -25 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/3))**(-9\/2)\/(l\/(l*l**(-3)*l))**(2\/25) assuming l is positive.\nAnswer: l**(-383\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let b be (-12)\/(-9)*(-3)\/(-2). Suppose b*m - 10 + 2 = 0. Let l(i) = 2*i - m*i + 3*i. Calculate l(g(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(4)\/(sqrt(12)\/(sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 18*t - 544. Let s be o(-16). Solve -v = z + 3*z - 22, s = 4*v + 4*z - 40 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - 2\/(-6). Let y = 0 - t. What is the units digit of y\/3 + 75\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*d**3*m + 1776*d**2*m**3 - 1207*m**3 - 49*m wrt d?\nAnswer: 117*d**2*m + 3552*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1278 and 165501?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -298\nAnswer: 3\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*a = 1945 - 6125. Solve -2*o = z - 6, 3*z - 220*o = -218*o - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172748*-141.\nAnswer: 24357468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {n: 4, i: 1, m: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.57 - 17.57. Let m = -5 + v. Which is the smallest value? (a) 3 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*x - 7, 2*c + 12 - 2 = 4*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 6)*(2*h + 3 - 3 - 3*h + 4*h - 4*h - h + h - h + (1 + 5 - 4)*(-3*h + 4*h - 2*h)) as b + k*h and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-75)*-5)\/(((-18788)\/(-183))\/(-22)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-46) - 18\/8)*168\/27.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -0.1, -3, -2\/109, -4.93, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**3 + 30*i**3 - 109*i**3 + 25*i**3 + 30*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3612, 3607, 3602?\n\"Answer: -5*g + 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29258794 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 7*u**2 + 10*u - 11. Let f be p(8). Suppose -f*q - 5*k - 1 + 71 = 0, -4*k + 4 = 0. Let b = 25 - q. 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 are the prime factors of 55398?\nAnswer: 2, 3, 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67183*j**5 + j**2 - 162770*j + 2.\nAnswer: -1343660*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*u + 72, 2*u - 4*t + 5 = -31. Let q be (u\/(-15))\/((-2)\/(-5)). Suppose -5*o - z = -0*z - 118, 62 = q*o + 5*z. Solve -o = 5*m + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 1 + -38)\/(-1). Suppose -y = -n - 3*n. Let f = 13 - n. Calculate the remainder when 13 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5 = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89765 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 x(n) = 21*n + 58. Calculate the least common multiple of x(-2) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2. Let j be 4\/(-8)*-3*6. Let a(m) = 10 - j + 3*m + 3 + 2. Let h(t) = 8*t + 17. Let y(r) = 17*a(r) - 6*h(r). Determine w(y(d)).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 - 5*o + 2*o**3 - 7 - 4*o**3 + 2*o. Let f(n) = n + 1. Suppose 2*g - m = 2*m + 3, 5*g + m = -18. Let r(u) = g*f(u) - x(u). Differentiate r(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 13*z**2 - 14*z - 17. Let j = -28 - -30. Let l(y) = 5*y**2 + 2*y - 10. Let q be l(j). Let w be r(q). Is -18 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 131, -0.2, 0.4, 3 in decreasing order.\nAnswer: 131, 3, 0.4, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 plus -120759109026?\nAnswer: -120759106795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -330, -654, -976, -1296, -1614?\n\"Answer: b**2 - 327*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/35695 + 0)\/((-2)\/10). Let i = -7 + 8. Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 289, 5, -1, 3.34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10948391549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 12. Calculate y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614467 greater than 1614470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oottoomogtttoggo. Give prob of picking 3 o and 1 t.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -699090*k - 951073 wrt k?\nAnswer: -699090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - g - 1060 = 0, -5*g + 30 + 208 = n. Suppose 2*q - n = -q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002111010 - 1?\nAnswer: -2002111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 339*o**2 + 4*o - 24. Is q(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 18 (b) 1\/2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615005 at least as big as 4615001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 (base 14) in base 7?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 4, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2103699)\/(-1630755) + (-27)\/21 + (-2)\/15.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 8)\/(((-9)\/(-2))\/(-3)). Let f be (230\/6)\/((-1)\/k). Let p = f + -162. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*k**3\/5 - 33*k**2\/5 + 12*k\/5 + 3\/5.\nAnswer: 3*(k - 1)**2*(6*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 21*h**2 - 154*h - 545. Give q(27).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 4, k: 4, w: 5, h: 5, j: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -24184\/3331?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*g + 10 = 0, w + g + 2 = 3*g. Let m(o) = -o**2 - 9*o - 9. Let z be m(-8). Let l be z - -4 - 6 - -2. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 8, -5*m = q - 4*q - 31. Sort 1, -31, m, 1\/3.\nAnswer: -31, 1\/3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 1, c: 6}. Give prob of sequence cttt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-111) + 97\/15 + -9.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -106543*0.225\nAnswer: -23972.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2. Let k be r(-4). Suppose 3*p - k = -3*h + 34, 0 = -h + 2*p + 28. What is the smallest common multiple of h and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.0568 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2452400 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(720)*-4)\/sqrt(12))\/((sqrt(432) - (sqrt(432) + sqrt(432)*4 + sqrt(432) - sqrt(432))*2 - sqrt(432) - sqrt(432))*2))**2.\nAnswer: 20\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 19859816?\nAnswer: 79439264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2 - 12. Let k be g(1). Suppose x + 2*x = -5*d + 165, -5*d = -k*x - 190. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -26*a - 130. Let w be l(-5). Suppose w = -9*v + 406 - 46. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1282, -1031, -652, -145, 490, 1253?\n\"Answer: 64*p**2 + 59*p - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895611 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 30 - 24)*((2 - 6 + 2)*(-3 + 2 + 0) - 3 + 3 + 2)*(2 - 3 + 2)*(y + 3*y - 5*y) as d*y + z and give d.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 + 5 - 2*i**3 - 3*i**3 to the form b*i**2 + z + k*i**3 + y*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 m when three letters picked without replacement from {b: 3, j: 3, m: 2, r: 2, v: 3, l: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(0*s**3 + s**2 - s**3 + 3*s**3) + 6468*s**3 - 4371*s**2 + 4371*s**2 to the form x*s + h + a*s**2 + c*s**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:13 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*l**3*o**2 - 179509*g*l**3*o - 1083*g*l*o**2 + 2*l**3*o + 19*l*o**2 wrt o.\nAnswer: 2*g*l**3 - 2166*g*l + 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 801508 and 8?\nAnswer: 1603016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**2 - 216*k + 98. Determine j(17).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 289*b**3\/2 - 905*b. Let w(p) = -p. What is u(w(x))?\nAnswer: -867*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 3663*o**2 - 22086*o.\nAnswer: 3*o*(o - 6)*(o + 1227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -28. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154 - 582 + 262)*(-1 + 2 + 2)*(0*x - x + 3*x).\nAnswer: -996*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*f - 48 - 47, 0 = -5*w + 5*f + 450. Let s = -47 + w. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**3 + 21*i**2 + 60*i - 7. Determine f(-7).\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1389*f. Let z(w) = -16423*w. Give q(z(m)).\nAnswer: 22811547*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 5. Let y be 2 - (1 - o) - 42831. Let t = -7171 + y. What is t rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3684*w**4 + 1417*w**2 - 2.\nAnswer: -88416*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 35 = 5*u, -2*u - 3*k + 8 = -15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*j - 20, -y - 3*j = -2*j + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172\/507 + 1\/169. Let u = -2.96 + -0.04. Let t = 2 + u. Is h at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 72. Is -6 + (-14958)\/(-45) + (-4)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*n**2 - 1477*n + 1477*n)*(0*n**2 - 5 - n**2 - n**2).\nAnswer: -206*n**4 - 515*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, q: 4, s: 2, e: 1, i: 2, g: 4}. Give prob of picking 1 g, 1 i, 1 s, and 1 q.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -946*p + 6312 - 10745 - 5400*p wrt p.\nAnswer: -6346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from aiokiqt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 9293797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/17667589 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.3. Let z = o + -0.1. Let g = 2.2 - 1.9. Which is the second biggest value? (a) z (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -193 and -205 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x - 3. Let g be f(-6). Let k = 20 + g. Suppose -3*c + k*a - 9 = 0, 5*c - a - 5 - 2 = 0. Solve 4*v = -q - 0*v - 2, 0 = -4*q - c*v + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + 8. What are the prime factors of (274\/8 - 0)*(-22 + v)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a - 252. Let h = a - -25. Let x = h + 102. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-6)\/4)*-3. Solve -4 + 0 = -p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4269051*k + 4269068*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74796 + -3.\nAnswer: 74793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 - (-4 - -6) - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 + 23696*o**2 + 34998800*o - 281508992 = 0.\nAnswer: -2966, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72953 and -0.4.\nAnswer: -29181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.9 + -1.9. Let a = i + -28. Let r be (2\/4)\/((-11)\/4). What is the biggest value in a, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-3)\/5 - 1040\/100)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**8\/336 + 1037*l**5\/60 - l**4\/12 - 4*l**3\/3 - 8*l**2 - 100*l. What is the second derivative of a(c) wrt c?\nAnswer: -20*c**3 + 2074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 2976014039\nAnswer: -2976014055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 40*j - 5. Let f(h) = -11 + 5 - 13 + 124*h + 37*h. Let q(c) = -18*d(c) + 4*f(c). Differentiate q(s) wrt s.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47787 + 0.07?\nAnswer: 47787.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8042678?\nAnswer: 2, 7, 574477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(5 + (sqrt(1088) - 3*sqrt(1088))))**2 - -5*(-4 + ((-3*sqrt(1088))**2 - sqrt(1088))))*3.\nAnswer: -7800*sqrt(17) + 356916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 21 - (5 + 1) - 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyuyyyuzuuuzyuuzu. What is prob of picking 3 z and 1 u?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 630.8 + -631. Put -12.77, 2\/9, w in decreasing order.\nAnswer: 2\/9, w, -12.77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**3 - 9*q + 12*q - 3*q + 3*q**2 to the form r + l*q**3 + t*q + c*q**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8241652 less than -3?\nAnswer: -3.8241652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283075845 + 1127.27.\nAnswer: 283076972.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21938 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 9. Suppose -6 = 40*h - 42*h. Give w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 - -18 - (1 - 2). What is the third derivative of -879*h**2 + 2*h**4 - 2*h**u + 36*h**5 + 918*h**2 - 89*h**5 wrt h?\nAnswer: -3180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219861894 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172800 rounded to the nearest ten thousand?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6827303461?\nAnswer: 11, 293, 1097, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 737 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15644, -16130, -16652, -17228, -17876?\n\"Answer: -3*x**3 - 465*x - 15176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*v = -137 - 73, -2*v - 339 = 3*a. Let d be (-1)\/(a\/36 + 3). Let s = d + 11. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 73205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-72)\/(-42))\/6. Which is the nearest to 2? (a) q (b) -9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3 + (1 + 1 - 1)*(-2 + 1 + 0))*(-2*d**4 + 0*d**3 + 0*d**3).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*a**2 + 1)*(-2*a**2 + 3*a**2 + 0*a**2) - a**4 + 0*a + 0*a - 33*a**4 - 30*a**4 - 24*a**4 + 0*a**3 - 2*a**4 + 0*a**3.\nAnswer: -88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -547 - -557. Sort 2, -0.1, o.\nAnswer: -0.1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**12)\/m**(-2\/5) assuming m is positive.\nAnswer: m**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {d: 2, l: 3, s: 1, z: 3, f: 7, t: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1138102579 to the nearest integer?\nAnswer: 33736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -43)*(-6)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220220*a**2*s**2*z - 69*a**2*z - a*s**2*z + 2*a*s*z + a*s + 5*a + 167*s**2*z + 10*s*z wrt a.\nAnswer: -440440*s**2*z - 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 39. Let x(u) = -u - 2. Let f(k) = v(k) + 4*x(k). Find the first derivative of f(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 18*k**2 + 16*k**5 + 18*k**2 + (0 - 2*k**3 + 0)*(k**2 + 7*k**2 - k**2).\nAnswer: 2*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 + 60. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 283?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44436, 177761, 399978, 711093, 1111112, 1600041?\n\"Answer: m**3 + 44440*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22673, -45348, -68023?\n\"Answer: -22675*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 956 = 806 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and 250070.\nAnswer: 250069.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (5755\/5 + 1). Let b = g - -1804. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(-26) - 3\/(-2)*427. Let f = -268 + t. Let v = f + 37. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24)*-5)\/(-4 + 44\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, 31, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:52 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*h*p**4 + 114988*d*h*p + 498*d*p + 135718373*h*p**2 wrt p?\nAnswer: 12*d*h*p**2 + 271436746*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487 = 15*g - 14*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/12 + z**3\/2 - 26*z**2. Let d = 7 + -4. What is the lowest common multiple of i(d) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7579297103 minus 1?\nAnswer: -7579297104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 65*c**4 - 5 - 14*c**2 + 10 + 60*c**4 - 2*c to s*c**3 + d*c + o*c**4 + x*c**2 + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/15)\/((-3)\/(-9)). Is t != -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2718 or 25.97?\nAnswer: 25.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10329 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 56*u - 497. Let g = 71 - 28. Calculate the remainder when g is divided by i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -27. What is the units digit of ((-217)\/g)\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2099\/5 - -5597\/15. Let l = p - -46. Put l, 1, 0.5 in descending order.\nAnswer: 1, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11110 - a?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80690*a**5 + a + 15159.\nAnswer: -1613800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1500 - 3001\/2. Let v = 3.6 - 4. Let b = 19\/44 - 2\/11. What is the nearest to b in y, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from ttttttppttttpt.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -4, -229, 5 in decreasing order.\nAnswer: 5, 3\/5, -4, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3797*v - 1351*v - 2575*v. Let b(i) = i**2. Calculate d(b(p)).\nAnswer: -7723*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 4194*o - 4192.\nAnswer: -2*(o - 2096)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from duvdddyydcvcddp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*f - 39 = 0, -4*p - 3*f + 7 = -2*p. What is the smallest common multiple of p and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.3, 4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000134599813 to 7 dps.\nAnswer: -0.0001346","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 + 336. Suppose 7*c = 1331 - m. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.8 - 43.6. Which is the fourth smallest value? (a) -2 (b) x (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-56))\/((-45)\/(-84))*5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - (20 + (-3918)\/132) and 107\/990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000352865 rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 3\/71, -122 in decreasing order.\nAnswer: 3\/71, -0.4, -3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 1 - 0. Let v = -167 - -165. Suppose -12 + 0 = 3*y. Which is the closest to -1? (a) y (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k**3 - 10*k**3 + 4 + 17*k**3 - 10 wrt k?\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 1651\nAnswer: 9\/1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03714 + -0.96286. Let m(w) = -9*w + 3. Let x be m(3). Which is the biggest value? (a) -3 (b) x (c) 4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29295602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 3 + v**3 - 3*v**2 - 3 + 4*v + 3. Suppose 4 = 3*b + t, 0*t - t - 4 = -b. Let i be z(b). What is the highest common factor of 54 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 5*q + 5. Let n(i) = i**3 + 3*i**2 + 6*i - 6. Determine 2*n(g) + 3*w(g).\nAnswer: 2*g**3 - 3*g**2 - 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 484074.7mm?\nAnswer: 484074700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**2 + 200*r + 880 = 0?\nAnswer: -4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((10\/(-12))\/5)\/((-272)\/(-51)))\/((-2697)\/(-3596))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12054 and 12180?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 - 119. Suppose -3*x - 3*w = -27, 2*w - h = 1. Suppose x*y - 504 = y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104118867 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -j - 2*d, 1 = 4*j + 1045*d - 1046*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -8)\/(-75)*10\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5.5. Let z = f - 0.8. Let p = -1.4 - 0.6. Which is the second smallest value? (a) p (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 414 - 2897\/7. Which is the nearest to 8? (a) -1 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 73*y + 14670. What is z(-201)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-5) - 186916\/830. Let a = -728 - -494. Are c and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-3)\/(-18) - (8 - 343\/42).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19512\/19, 0.5, 42 in increasing order.\nAnswer: -19512\/19, 0.5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404773 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3641*b - 236*b - 21532 = -96442 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4022 + -2424413?\nAnswer: -2420341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.17326 - -69.24474. What is n rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 724\/36 - 1020\/918\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(495)*-1)\/(-5*(sqrt(11) - (sqrt(33)\/sqrt(3) + sqrt(11)))))**2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, 0, -12, 46, 3 in decreasing order.\nAnswer: 46, 3, 1, 0, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*i + 391*i + 246*i + 152*i + 1 + 2*i**2 to l*i + h + q*i**2 and give l.\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474*x**2 - 1471*x**2 - 1854*x**2 + 4802*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 7*z**2 - 3*z**2 - 2 + 0*z**3 - z + 3. List the prime factors of k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(3\/12). Suppose 14 = v*x - 10. Calculate the remainder when 32 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let t = y - 2. Let a = -0.126 + -2.874. Put a, -6\/11, t in decreasing order.\nAnswer: -6\/11, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -0.5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2404.39 millilitres to litres.\nAnswer: 2.40439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-2*-6)\/(sqrt(32)\/sqrt(4)*1*-1).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3029348\/27 or 112199?\nAnswer: 3029348\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*s = -62, 4*s + 51 = 2*j - 41. Suppose m = -4*g + j, 2*m = -3 - 1. What are the prime factors of 164\/14 - (-4)\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mph when three letters picked without replacement from {c: 2, h: 1, p: 8, x: 2, m: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 124977454 to the power of 1\/2, to the nearest integer?\nAnswer: 11179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044 - -10?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -29. What is the least common multiple of 7 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - o**2 - 257*o**3 + 20*o**3.\nAnswer: -231*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:07 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, p: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1449760493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -69365598 at least -69365591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58827682?\nAnswer: 2, 29413841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -4. Suppose -20 = 4*c - 4*f, -3*f = c - 0*f - z. Put -7, c, -3 in descending order.\nAnswer: c, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2 + 1. Let j be o(-1). Let b be ((-28)\/10)\/(j\/(-25)). Solve -z - 4 = -b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.4 - -29.1131. Round h to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - j - 2 = 0, 3*n + 3 = -4*j - 5. Let w be 2 + -4 - (-5)\/1. Sort n, w, -2 in descending order.\nAnswer: w, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31605\/121 >= -261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -662.4 - -662. What is the biggest value in -3\/5, t, -135?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -45. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 11933*s**6\/30 + 17*s**4\/12 - 57*s**3 - 10655*s. Find the third derivative of m(n) wrt n.\nAnswer: 286392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**3 + 5*p**2 - 11*p. Let y(g) = 6*g**3 + 5*g**2 - 12*g. Let d(q) = -5*r(q) + 4*y(q). Suppose -17*i = -12*i + 30. Determine d(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -d - 4*d, 15 = -3*p - d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -2*v + 27. What is the highest common divisor of 56 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 26 + (-10 - 6) + -35?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + 2578 + -2493.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 16. Let t(b) = 2*b**2 - 31. Let l(g) = 3*t(g) + 5*w(g). Let a(q) = 2*q. Determine l(a(j)).\nAnswer: 4*j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 64*z**2 + 80*z - 865. What is t(65)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*f + o, -195 = -3*f + o - 39. Let z = f - 31. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, -10, -1633 in decreasing order.\nAnswer: -4, -10, -34, -1633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzzzzozzzzzzzozzz. Give prob of sequence oo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 1)*(-i**3 + 2*i**3 - 3*i**3).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/8)\/a**(-1\/3))\/(a\/(a\/a**0*a)*a**1\/a)*(a\/(a*a**(-4)*a*a)*a)\/a*a\/a**(-4\/3)*a**3*a**(1\/7) assuming a is positive.\nAnswer: a**(1417\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*0.29\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -4, 0.5 in decreasing order.\nAnswer: 0.5, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5798\/1561*7\/12.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 8\/3. Let l = 146\/5 - 589\/20. What is the second smallest value in l, -1, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 3*k - 45 = -9*a, -10 = 18*k - a - a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -20?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2173979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840952, 1681457, 2521962, 3362467, 4202972?\nAnswer: 5043477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-6)*-2*6*-1. Let i = 1 + -1. Let v = 51 - 45. Solve -v*n + p*n = i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-140) + (-1)\/5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8116 (base 13) to base 14\nAnswer: -668c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*z - 91, -5*z + 55 + 30 = -5*b. Let f = 0 - -2. Suppose -f*l + z + 16 = 4*g, 2*l + 34 = 2*g. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1162 divide 833424241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36689327 divided by 8?\nAnswer: -36689327\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w + 288*w**5 - 62*w + 41*w + (2 + 0 + 1)*(w**5 + w**5 - 5*w**5) - w**5 - w**5 + w**5.\nAnswer: 278*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by -616?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -1095*t**7\/7 + 2846*t**3\/3 + 361. Find the third derivative of l(m) wrt m.\nAnswer: -131400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -228.316504 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169.4 + 168.9. Let k be (-16)\/6 - 5\/(-15). Which is the third biggest value? (a) -2\/3 (b) j (c) -3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-156)\/108 + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 16136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + 42\/15. Suppose o - 2 = 4*i, -10*o + 10 = -g*i - 5*o. Is i at most as big as -6\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -1081*m + 1086*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*a**2 + 49*a**2 + 0 + 0 + 0.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 - 3*x**2)*(2*x**3 + 6*x**3 + 4*x**3) - 3*x**3 + 2*x**5 + 3*x**3.\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1158\/7 + 49829\/301. Let j be 3020\/86 - (-1)\/(-2). Let u = j - k. Calculate the common denominator of u and -27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -c + 23, 0 = b + b - c - 19. Let y = -3 + b. Let a be y\/(-2) + 20\/9. Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15406617*v**2 - 10680343.\nAnswer: 30813234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*c + 28, -4*c = 60*p - 58*p - 32. Find k, given that -3\/4*k**2 - 1\/4*k**c - 1\/4*k + 0 - 3\/4*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4584003 >= -4583857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/6*(-4)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0 = -2*d + 8, -3*d + 12 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/2412 + (-10)\/(-12) - 12977\/171.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 17*o - 25. Let x be z(-13). Let q = x - 22. Solve 2 = -3*c - q*u, -c - 11 = -2*u - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 2*z + 2*z + (z + z - z)*(-1 + 1 + 1) - 105*z + 47*z + 48*z - 2*z + 1 - 1.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1491684 less than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -21*x + 3. Determine s(-4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4 + -1)*-8. Suppose 2*a = a - b. Let n = a + 30. Calculate the greatest common factor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - -126. Let w(d) = -203*d**2 + 2*d - 1. Let s be w(1). Let z = q + s. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6023.48 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 132575 - -95?\nAnswer: 13265a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 46*w = -164. Suppose -s = -2*s + 36. Put w, s, -5 in ascending order.\nAnswer: -5, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (-3 + (-2 - 12) + 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 3 + 4*x - 5*x + 4*x.\nAnswer: 11*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.43 + 5.78. Let i = 0.35 - l. What is the nearest to -1 in 1, i, 3, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -6.12. Let n = -6 - o. Let t = 0.2 - 0.3. Which is the nearest to -0.1? (a) -2 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797721 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: Let q be 765\/(-306)*2\/(-1). Solve 5*j - 7*w - 17 = -3*w, -q*j + 2 = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -377 >= 3\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-15))\/(6\/9)*10. Solve w*a + 4*d = -0*d + 36, a - 5*d = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27368, 27371, 27374?\nAnswer: 27377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) 0 (c) 0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pap when three letters picked without replacement from aaaapappaaapaadppapp.\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 145 in ascending order.\nAnswer: 2, 4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 14 = 2*a, s - 187 + 182 = 2*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23800.41 decades in millennia?\nAnswer: 238.0041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 487, 637?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g + 2763501 = -14*g + 1016157. Does 155 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/12 + 4*k**2. Let r(y) = 20*y. Determine r(c(f)).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*a*o**4 - a*o**3 - 2*a*o + o**4 - 6*o**3 - 3995*o**2 wrt o?\nAnswer: 864*a*o - 6*a + 24*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 88. What is the least common multiple of 6 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 39*b + 65*b = 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 6*d + 8. Let l(i) = -4*i - 8. Let r be l(-4). Calculate z(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqjqpqjjjpjpjyzqq. What is prob of sequence zq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (6\/(-5))\/((-8)\/(-20)). Suppose 8*l = 1 - s. Solve 2*k + 4 = 2*v, 5*k + l*k + 12 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzzzzzzuuz. What is prob of picking 4 z?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3\/2 (c) 1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 10. Let k be l(8). Suppose 2*j - k*j + 32 = 0. Let r = -152 - -224. What is the highest common divisor of j and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78864522 - -78863295.98678. Let h = -1226 - d. What is h rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 8 = 45*t + 3. Solve 5*f = -3*n + 5, -t*f + 72 - 32 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d - 11*d - 14*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.4 - -5. Suppose -53*x + 2622 = -20698. Let k be x\/(-308) - (-8)\/(-14). What is the third biggest value in k, 2\/15, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 1 - 9. Suppose 0 = -0*s - k*s. Let y = -96\/5 - -19. Which is smaller: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 2. Let v(j) = -1 - 19*j + 22*j + 0 - 8 - 20*j. Suppose -s = -o, -8 = s + 5*o + 10. Let h be 1 + s - -3 - 3. Give h*v(g) + 9*w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 52 + 52.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385297080.\nAnswer: 2, 5, 659, 52553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192690 by 45.\nAnswer: -4282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:55 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + 8 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -3*b**2\/2 - 18. Let t(l) = l**2. Give t(c(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -4)*1 + 3 + -2*sqrt(72))**2 - ((-6*(sqrt(72) + 1))**2 + 4 + -5).\nAnswer: -2554 - 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a factor of 2312286611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 4*h - 21. Let u(a) = 4*a**2 + 9*a + 43. Let k = -15050 - -15063. Calculate k*l(f) + 6*u(f).\nAnswer: -2*f**2 + 2*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 7. Let x be b(-2). Suppose -6*r = -x - 7. Let f = 7 + -3. Put f, 0.5, r in decreasing order.\nAnswer: f, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/((-58)\/580). Let f(c) = -2*c**3 - 2*c**2 + c - 3. Let t be f(-3). What is the greatest common divisor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*g**4 - 27354*g**2 - 14194*g - 52.\nAnswer: 192*g**2 - 54708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x - 28. Determine j(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*0\/(2*-1). Suppose 2*w = -3*w + 20. Let g(f) = -f + 2*f - w - 5 + 1. Give g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 9. Let p be -1*22\/(-3 + 1). Let j be l(p). What is the third derivative of 2*y**j - 2*y**3 - y**3 + y**2 wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {u: 7, z: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 42*s**2 + 4*s + 32. Calculate the remainder when r(21) is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46820 and -1728063688?\nAnswer: 1728016868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5018, -25, 0, 4 in ascending order.\nAnswer: -25, 0, 3, 4, 5018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7. Sort 2, p, -2 in descending order.\nAnswer: 2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1516 + -1003. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 687, 1892, 3625, 5886?\n\"Answer: 264*z**2 - 115*z - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -360437\/24 + 15014. Calculate the common denominator of 71\/4 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 359084?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5 - 219459*l**4 + 658350*l**3 + 3950204*l**2 + 877848*l - 5266944 = 0.\nAnswer: -2, 1, 6, 219456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*(6 - 0). Suppose -3*x + 5*d = -36, -3*x - 22 + 52 = -3*d. Solve 9 = z*w - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -185*o + 5. Let m(z) = -370*z + 9. Give -5*k(y) + 3*m(y).\nAnswer: -185*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365967 divided by -3.\nAnswer: 121989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121469\/2574 - 23\/2574. Let h = 47 - g. Which is the closest to 1? (a) -5\/3 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*2*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.9976 - 27. What is z rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 1\/12*x**4 + 0 - 8*x + x**2 - 1\/6*x**3. Let h = 8 - 5. Calculate s(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436926483 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -2\/9 (c) -1\/18 (d) 5 (e) 0.07 (f) 10 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y + 2. Let r(s) = 9*s. Calculate r(q(z)).\nAnswer: 90*z + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuv. What is prob of sequence uu?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 + -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let k = 129 + -124. Suppose -b*x + 10 = -k. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 18*q**2 - 16*q + 56. Calculate z(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 679 (b) 0.5 (c) -512 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*y + 8, -2*j + y - 4 = -4*j. Which is the smallest value? (a) 6 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)*-2 - 1. Which is the nearest to -2\/7? (a) -2\/7 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110100110100011 (base 2) to base 10.\nAnswer: 92579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxqonqnnffxqnfqxfnxq. Give prob of picking 3 n.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/45 + (-4)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/(-399))\/((46\/(-736))\/(7\/4)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6291 + -6296. Put 9, 2, h, -0.5 in increasing order.\nAnswer: h, -0.5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - 3 - (356 - 369)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40496718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + sqrt(63) + 0 + sqrt(7) - sqrt(7) - sqrt(700)*1.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19294 = -1043*x - 8867 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*t - 37. Let p be (6\/(-9))\/(12\/t). Is p greater than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 4. Let z(m) = m**3 - 15*m**2 + 16*m - 36. Let b be z(14). Determine j(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 0*i)*(4*i - i - 5*i)*(-82*i**3 + 507*i**3 + 1080*i**3).\nAnswer: -3010*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 659, 2432, 5949, 11792?\nAnswer: 20543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 2. Let m(s) = 1. Let z(x) = -3*x. Determine j*z(n) - m(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/699 and -23\/684.\nAnswer: 159372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -985 - -2300. What are the prime factors of l?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let a = -3987 + 3987.5. Let r = 6 - 4. Let b = -31 + 30.5. What is the third smallest value in a, 1\/5, b, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1328.5179 microseconds to minutes.\nAnswer: 0.000022141965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*((-192)\/(-45) - (-44 + 48))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0 - 1948\/2. Let u = a + 1015. Suppose -3*l + 60 = l. Calculate the greatest common divisor of l and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5 = 0, -60*y + 7 = -3*l - 61*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + i - 36, -5*l + i - 2*i + 60 = 0. Suppose -4*g + 4*w = -84, l = -2*g + 3*g + 2*w. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.5283ml to litres.\nAnswer: 0.0475283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let b = -21 + 29. Suppose -2*n = b, 2*c = 2*n + n + 14. Let y(q) = 3 - 4 + c - 7*q. Calculate l(y(o)).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**2\/2 + 4*m - 11. Let q be w(-2). Suppose -5 = q*h - 15. Sort -3, -5, h.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*g**2 + 116*a*l**4 - 5*a*l - 76*a + 2*g**2*l**3 wrt l.\nAnswer: 464*a*l**3 - 5*a + 6*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 3291a?\nAnswer: -32901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 111. Let k = 36 - z. Solve -6*u = -u + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 22. Put m, 0, 2 in ascending order.\nAnswer: m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -19\/5, 0.4, 4\/17, 2.5 in decreasing order.\nAnswer: 2.5, 0.4, 4\/17, -2\/19, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5995.\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let b = 1332.1 - 1332. Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 4. Let n(f) = -81*f**2. Give n(l(c)).\nAnswer: -81*c**2 + 648*c - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 58. Suppose 5*p - 10 = y. Let a(r) = -2*r**2 - 3*r + 1. Let d(s) = -4*s**2 - 5*s + 2. Let o = -205 - -201. What is o*d(b) + p*a(b)?\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by -45.\nAnswer: -29\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*w - 4*y, 0*w - 4*y + 80 = -3*w. What is the common denominator of 1\/2 and (-230)\/8 + 7\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25548 minus -0.38?\nAnswer: 25548.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/5 or -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*f = 3*f - 4, -r - 4*f - 10 = 0. Let o = 8 - r. Solve 0*i - 2 = o*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436795 is divided by 4013.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-238))\/((180\/16)\/(-9)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 47740*q\/9 + 1213264\/3.\nAnswer: -2*(q - 76)*(q + 23946)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 376474462 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 96230.79 years?\nAnswer: 9623.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2676 + 4314 = 5*x. Suppose 673 = o + 4*r, 2*o - 3*r - x = 2*r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -411 (b) 0.11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 14. Let w = p + -15. Suppose -3*i + 393 = -w*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.026435 and 0.5.\nAnswer: 5.0132175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 - 32. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12. Suppose o + 5*m + 3 = i, o - 2 = 5*m - 25. Let x(w) = -2*w. Let s(p) = -p. Give o*s(d) + 6*x(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -71, -6, -1, -0.16?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.87 + -0.57. Let s = -1.381 - g. Let v = s - 0.059. What is the nearest to 1 in 1\/3, 3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*a**2*f**3*j + 162*a**2*f**3 + 3*a**2*f**2*j - 2*a**2*f*j - 5*a*j + 15*f**2*j - 2*j wrt f.\nAnswer: 120*a**2*j + 972*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1226127703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 divided by -4?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159387, -318773, -478159?\n\"Answer: -159386*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1783288, -1783256, -1783224?\n\"Answer: 32*b - 1783320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3 = 0, d + 12*x = 4*d + 13*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/7 + 424*f\/7 + 417 = 0. What is f?\nAnswer: -417, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 61\/120543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 2*s - 4*s - 2*s - 3*s + 7*s + (0 + 0 + 2*s)*(-1 - 1 + 4) + 3*s - 3*s + s + (-2 + 0 + 1)*(5*s - 4*s - 3*s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 14*x - 14*x + 1. List the prime factors of f(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 82380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7366 = -5*y, 21*x = 4*y + 19*x - 5900. What is the lowest common multiple of y and 320?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -10 + 2. Suppose -109 = 4*b + 23. Let s = -30 - b. Solve g*d + 9 = d - 3*u, 0 = -d - s*u - 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5040 and -105838\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 10\/3)*(-594)\/396?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4209 + -4236.27. Let y = -0.27 - f. Let w = y - 26.9. Which is smaller: w or 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 752\/5. Sort 16, g, -0.2 in descending order.\nAnswer: 16, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 2 = -0*r - r, 125*u = 10*u - 48*r + 50*r + 1731 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24491 and 1201348.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 0 - 22\/(-6). Let x(j) = j - 8. Suppose 0 = -7*q + 5*q + 14. Let p be x(q). Which is the third biggest value? (a) p (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (24 - 7) + -18 + 84.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p. Let n(u) = -u**3 - 12*u**2 - 3*u - 2. Let j(m) = -5*g(m) - n(m). Let d be 0\/(-11) - 1\/(-1). Let l be -3*(d\/4 + 63\/36). Determine j(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*d - 9 = -79*d. Let w(z) = z**2 - 6*z - 4. Let b be w(7). Suppose b*l = 3 - 18. Sort d, l, -4 in decreasing order.\nAnswer: d, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.92 - -36.08. Let c = -0.907 - -0.807. Put c, q, 5 in ascending order.\nAnswer: c, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*a + 71, -3*r + 60 = 4*a - 23. Suppose -r*d = -81 - 19. Which is smaller: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 390 + 253*j**4 + 399 + 29*j**4 - 1022 wrt j?\nAnswer: 1128*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -2 - -6) + -2)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.91 + -22. Let f be 6\/5 - 16872\/12210. Put v, 1, f in descending order.\nAnswer: 1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuduu. What is prob of picking 1 d and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5 = 0, -64*h - 4*f = -65*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36815, 73698, 110579, 147458, 184335, 221210, 258083?\n\"Answer: -k**2 + 36886*k - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = 5*i. Suppose 5*h = -i - 6. Let b be (h + 11)\/((-9)\/(-6)). Solve t - 3 = -q, 7*q = 2*q + 4*t + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (4 - 2 - 2). Suppose h*j - 16 = j. Suppose -o + 13 = -2*q - j, -5*o + 4*q + 135 = 0. Calculate the remainder when o is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -5*m + 161. What is the lowest common multiple of m and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 298310646.\nAnswer: 596621292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1202 and -3.\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {y: 1, b: 1, q: 2, m: 2, c: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12263, 12270, 12277?\nAnswer: 12284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -499480 * 0.2.\nAnswer: -99896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose s - n*x - 4 = 0, s = 4*x + 3 + 1. Solve 4*g - 9 = -j + 1, -j + s = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 151. Sort 0, s, -51.\nAnswer: -51, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 13*m - 84 = 0. Let a = 5 - m. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Let l = r + -9. Let z = -0.1 + -0.1. What is the closest to z in l, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:15 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/373 or 1?\nAnswer: 45\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1319 greater than -1319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 600 + 525. Let w = i - 607. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9850642.\nAnswer: 2, 4925321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 11. Let y(m) = -1 - 40289*m**3 - 30710*m**3 + m**2 + m**2. Let l be y(n). What is l rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7177784356 and -0.22?\nAnswer: 7177784355.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 15\/(-5) - -2. What is the common denominator of -11\/40 and (a\/24 + (-173)\/4)\/(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85719\/1735 + -2\/347. What is the second biggest value in 4, a, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 14*s**2 - 38*s + 15. Calculate d(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*-15866744\nAnswer: 15866744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. What is the remainder when 19 is divided by (3\/((-6)\/(-20)))\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2268*o + 36 = -2280*o. Sort 3, 1, -55, o in decreasing order.\nAnswer: 3, 1, o, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 25 + (32 - 14) - (11 + -1 + 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/2517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15470 divided by -1105?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3271978283 to the nearest integer?\nAnswer: 57201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 + 188 = -9*f + 283. Solve -f = -q - 43 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 254 + 2. Suppose 0 = -2*q - 2*m - 43 - 31, 4*m - 118 = 3*q. Let r = 41 + q. Solve 5 = -5*z - r*s, 7 = 4*z - 3*s - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 78 - -5?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qooeoleqllqoelqll. What is prob of sequence lo?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -48*i - 167. Calculate l(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1156\/13 = -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 71 = 66 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11.159 - 1141.49\nAnswer: -1130.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**(-18))\/t*t**(-7) assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 0.05 (c) 5\/16 (d) -0.2 (e) -0.07 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2 + 3 + 0. Let o = 622 - 632. Put -2, o, l in decreasing order.\nAnswer: l, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 19000665*q + 95003300.\nAnswer: (q - 19000660)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*((3 - 3 - 2*k)*(16*k**2 + 13*k**2 - 4*k**2) + 14 + k**3 - 14).\nAnswer: -147*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 23. Solve -u + r = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2203 - 0.8797. Which is smaller: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 7\/3 - (-4)\/6. Which is the nearest to 2\/9? (a) 3\/8 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/488 and -2\/29684369.\nAnswer: 237474952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221233 is divided by 24581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -125132, -250277, -375426, -500579?\n\"Answer: -2*s**2 - 125139*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -62. Let w(y) = -25*y**3 + 3*y + 1. What is the hundreds digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7125 - -15930. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -9.\nAnswer: 238\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*y - 1865*y - 772*y.\nAnswer: -2012*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 + -0.3. Let z = -367 + 247. Let h = z + 120. Is j >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x. Let t(q) = 4*q. Let v(r) = 5*i(r) + 4*t(r). Let z = 10 - 6. Let f(c) = -27*c**2 + z*c - 4*c + 52*c**2. Give f(v(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 557423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106 = 189*f - 3924 - 217 - 1313 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 687ca69 - -2?\nAnswer: 687ca6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 675 + 0*t + 675.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83340 - 416704\/5. Let v = 0.2 - -0.8. Which is the closest to -2\/5? (a) -2\/11 (b) s (c) 5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -48. Suppose g*b - 7 - 5 = 4*s, 2*s = -b + 4. Suppose 14301 = 5*m - b*a, 0 = 5*m + 2*a - 5*a - 14297. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 499*s + 476*s + 1 + 9 - 973*s + 7. Determine x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zwwswuwvwwg.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2062092 + -3482092. Round q to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*s - 26 = 0, 5*s = 4*h + s + 12. Solve 0 = h*r - 7 - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 9*u + 84. Find the second derivative of u*z**5 + z**5 + 66*z - 73*z wrt z.\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 3, w: 4}. What is prob of sequence swg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.992827 days?\nAnswer: 1429.67088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - n**2 - n**2 + (16 + 9 - 5*n + 3*n)*(-4 + 4 - 2*n).\nAnswer: 2*n**2 - 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1068.6 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 - 5 = 0. Let k = -8 + 5. Let u = k + 4. Solve x*q - u = 3*b, 0 = -q - b + 2*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 - 5 = -5*v, 4*v = 4*a + 12. Suppose v*l - 7*l + 120 = 0. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -1.06015.\nAnswer: -22.26315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 44. Let p = 31 + b. Let s = p + 62. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - l - 3. Let d(m) = 410*m**2 + 4*m + 6. What is -d(t) - 2*v(t)?\nAnswer: -416*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - -1?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:35 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318987828 to the nearest integer?\nAnswer: 17860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:09 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 1, m: 3, p: 3, s: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (93\/(-18) + 5)\/(4\/3524). Which is bigger: -146 or v?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -8\/7 (c) -11.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10528873*c + 17. Let d be p(4). Suppose -5*l = -d - 69384491. Round l to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(12) + sqrt(50)\/(sqrt(20)\/sqrt(2)) + -6*(sqrt(5) - (sqrt(405) + 0 + sqrt(405) + sqrt(405) - sqrt(405) - sqrt(405))).\nAnswer: 99*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, c: 5, s: 6, m: 1}. What is prob of picking 3 s?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -27. Let f = z - 27. Suppose -7*b + f*b = -12. Solve -b*m = -5*j + 14, -m - j = 4*m + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5810693l in millilitres?\nAnswer: 581.0693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-39))**(-2\/73) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3029390 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 3. Suppose 0 = 3*l - 10 + 1. Let n be -2 - l\/(-4)*-4. Does 8 divide d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/7969280 and -169\/480.\nAnswer: 23907840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 27\/89 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/o**(3\/4))*o**2*((o*(o*o*o**3\/o*o)\/o*o)\/o)\/(o**(-2\/5)\/o) assuming o is positive.\nAnswer: o**(163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8784382, -35137543, -79059478, -140550187, -219609670, -316237927, -430434958?\nAnswer: -562200763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11679140, -11679181, -11679222, -11679263, -11679304?\n\"Answer: -41*y - 11679099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 3, 68, 0.08?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2 - (-20)\/(-12)) - -168. Suppose 130 = 2*i + 2*c, 2*c - m = -3*i + 24. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234706, 234704, 234702, 234700, 234698, 234696?\nAnswer: 234694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349230?\nAnswer: 2, 3, 5, 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 + -85. Let h = 588\/5 - o. Let q be 2 - 18\/8 - (-1 + 1). Which is the closest to 0.1? (a) q (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(3 - 7 + 3)*(34 + 338*j + 34 - 69).\nAnswer: 338*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2. Let s(b) = -2*b**2 - 4*b. Let h(u) = -2*u**2 - 5*u. Let r(o) = 4*h(o) - 5*s(o). Calculate d(r(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a + 126 = 0. Suppose -4*o = -u - 15 - 13, 5*o - 32 = 2*u. What is the remainder when a is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 9*k**2 + 4)*(-94*k - 5*k - 69*k) in the form y + l*k**2 + n*k + z*k**3 and give z.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 16. Let y = s + 24. 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: What is ((-110)\/(-20))\/((-56)\/16)*(-21)\/77?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Let m = -223454 - -223470. What is the closest to h in m, -4\/7, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose -3*l = z*i + 3 + 2, 5*i + 5 = -4*l. Suppose 4*n = 4*a + 28, 0 = -2*n + l*a + 23 - 3. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1 = -f, 1340*p - 1337*p = 2*f - 12 - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*y = 22, -5*i = 2*y - 5 - 15. Let o(d) = 6*d**2 + d. Let p(j) = -31*j**2 - 6*j - 1. Determine i*p(b) + 11*o(b).\nAnswer: 4*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 45. Let c = -5 + y. Suppose 12 = 3*o + c. Solve 1 = 4*s - o*t, -s - 33 = -3*s - 5*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:05 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**2\/u*u)\/u))**(3\/7)*(u\/u**7)\/u**(-1\/4) assuming u is positive.\nAnswer: u**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 15*s**2 + 13*s + 19. Let a be w(14). Suppose 4*u + b + 11584 = -3*b, 11580 = -4*u - a*b. Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 602373720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126868 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let p(d) = -3*d**2 - 8*d**2 - 12*d**2. Calculate b(p(s)).\nAnswer: -529*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 65250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 6*c - c - c + c**2. Suppose 0 = 2*l - 5*u - 79, 4*l - 161 = 2*u - 11. Let q = l - 30. Give a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(3\/2)*b\/b**(-6)*b**(-9)*(b\/b**(-2\/5))\/b assuming b is positive.\nAnswer: b**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -21. Let l = h + -32. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - -319. Suppose 0*f - f = -u - 78, -3*u = 5*f - a. Let b = 387\/5 - f. Sort b, 5, -0.4 in increasing order.\nAnswer: -0.4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3 - 3)*(-30072 + 30072 + 12771*b**3).\nAnswer: 38313*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 578*w - 586*w + 152 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -63, -109, -175, -267, -391?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:36 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/2)\/o*o**(5\/2))\/(o**(-7)\/o*o*o**(-2\/3)*o*o))\/((o\/(o*o*(o\/(o**(-2\/3)\/o*o*o))\/o*o))**(1\/68)\/(o**(1\/3))**(1\/4)) assuming o is positive.\nAnswer: o**(997\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*i + 48*i - 11*i**3)*(i + 0*i + 0*i - 6*i + 4*i + i + (3 + 1 - 3)*(0*i - 3*i + 5*i))*(2*i + 3*i - 3*i + (0*i + 2*i + i)*(-1 + 2 + 1)).\nAnswer: -176*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(84 + 70 + 7)*(-4*n + 3*n + 3*n).\nAnswer: 322*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 66653265*y\/2 + 1480885911720075\/4.\nAnswer: 3*(y + 22217755)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + -11 + (-8 - -2) + 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191802 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 102*h + 104*h - 205*h + 45.\nAnswer: h + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 28*w + 2*w**2 - 6 - 20. Suppose -2*j = -4*k + 90, 2*k + 4*j = -k + 95. List the prime factors of v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 6, v: 12}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b = -85*b + 35*b + 4946353. What is the highest common factor of 149 and b?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 258, 2, -8 in decreasing order.\nAnswer: 258, 5, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 6*w**2 + 4*w.\nAnswer: 2*w*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 5*k**3\/3 + 3. Let p(n) = -3*n**2 - 2*n. Let b(w) = -16*w**2 - 11*w. Let y(r) = 2*b(r) - 11*p(r). Determine g(y(c)).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n + 77 + 0*n**2 + 0*n**3 - 1\/12*n**4. Let q(w) = -623*w**2. What is j(q(y))?\nAnswer: -388129*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8989.49 (b) -0.4 (c) 0.1 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.73823 rounded to 1 decimal place?\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 36663604?\nAnswer: 36663603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 - -1224?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 4 (b) 3 (c) -7.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 19*m**2 - 876*m + 76. What is n(46)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -482\/5 or -104?\nAnswer: -482\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 0*m**2 - m**3 + (2*m - 3*m - m)*(-4*m**2 + 2*m**2 + m**2) + m**3 - 3*m**2 + 3*m**2 to the form o*m + s*m**3 + y + z*m**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a hour in seconds?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -6. Let a = j + 0.98. What is a rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 3*m - 5. What is the highest common divisor of m and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1 + 2*v - 2 + 0*v**2. Suppose 3*m - i = -9, 13 = -5*m - i - 10. Give x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50109206 + 2*g**2 - 50109206.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14280.31836ms?\nAnswer: 0.0000236116375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 13 + 61 = -35*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*z**5 + 532*z**3 + z - 15401.\nAnswer: 200*z**3 + 3192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*1*-4)\/(-1*sqrt(21)\/sqrt(3) - (sqrt(7) + sqrt(63))*-1).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3 - 224*h + 211 wrt h.\nAnswer: 9*h**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 307 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 1. Let w(l) = -680*l + 347*l + 334*l. Determine -3*w(b) - x(b).\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = 3*x, -1220*s + 11 = 5*x - 1223*s. Sort -2, 0, 6, x, -5 in increasing order.\nAnswer: -5, -2, 0, 6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0 + 0*q**2 - 7\/4*q**4 - 5\/2*q**3 - 1\/4*q**5 + 0*q = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0747 - -1.0747. Let v = -1 - -0.6. Let y = -3.98 + -0.02. Which is the biggest value? (a) v (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 454*u - 444*u - 100 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2523, -10376, -23503, -41934, -65699?\nAnswer: -94828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 + 9*j - 6. Let i(n) = -6*n**2 - 12*n + 8. Let y(a) = 3*i(a) + 4*z(a). Let k(o) = o + 0*o - 6*o. Determine y(k(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0 - (-2 - 3)) + (3 - 14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0 - 5 + 4 + 3 + 0 - 2 + 1 + 1 + 1 - 1 + 0 - 3 + 1 + (-1 - 5 + 4)*(-4 + 4 - 1))*(0*n + 85*n + 16*n).\nAnswer: -303*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q**3 + 28*q**3 + 6*q**3.\nAnswer: 76*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/5)\/a)**46\/(a**(-1\/2)\/(a\/a**(1\/5))) assuming a is positive.\nAnswer: a**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwzwwwwuhwwwuwhwu. Give prob of picking 3 w.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0 + 23*g**2 + 0*g - 1\/12*g**4 + 0*g**3. Let h(j) be the first derivative of -2*j**3\/3 + 4. Determine k(h(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41443533 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646105*o**2 + 615652*o**2 - 3 + 3.\nAnswer: 1261757*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 281.\nAnswer: -32\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351244 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 4*v**2 + 3*v - 9. Let u be c(3). Calculate the common denominator of ((-12)\/16*42\/u)\/2 and 49\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-111)\/(101565\/6)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 divided by 314?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-3)*((-31578)\/(-342) + -95)\/((-1)\/9)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**3 - 152*c**2 - 74*c - 1768. Determine q(20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**7\/2520 - t**5\/120 + t**4\/12 - 3*t**2. Let u(h) be the second derivative of n(h). What is u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 767*l - 771*l + 3*a - 14, 6*l + 5*a + 40 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 6. Let y = -46 - j. Let i = y - -21. Put i, 0, -0.2 in ascending order.\nAnswer: i, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -9\/16, 45, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274268634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 5*y**2 + 5*y + 6. Let x be c(-4). Let s be (-9)\/(-1)*x\/6. Suppose 1 = -s*h - 5. Is h at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 276 = 9*f. What is the highest common factor of 115 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-1*669\/2007?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 4 + 0 - 4. Let h be t(-7). Let x = h - -9. Which is the biggest value? (a) x (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 104*(-12)\/9*(-12)\/8. Suppose -28*n = -v - 1528. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -217?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129757 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16587181 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-70382.2\nAnswer: -211146.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.781 (b) 1 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -61. Suppose 5*x = 4*b - 55, -w = 4*x - 5*b - 16. Let t = x - -10. Solve 2*q = 2*l - 14, t*q + 1 = l - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Let t = 0.1 + v. Let g = -7 + 6.6. What is the nearest to t in 0.5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 5*q**4\/24 - 2*q**3\/3 + 2*q**2. Let x be t(4). Suppose 0 = 2*v - 0 - x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 127460 - 84207. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 - 212. Let l = 42 + -46. What is the nearest to o in -5, l, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 97 (b) -0.4 (c) -9 (d) 0.01 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -4 (c) 106 (d) -8.26 (e) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(19))**2*2 + sqrt(19) - sqrt(228)\/sqrt(588)).\nAnswer: 18*sqrt(19)\/7 + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 2*v**3)*(324 + 250 - 1157 - 578).\nAnswer: 2322*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/10 - (-5)\/25. Let a be 6 - (-1)\/(-4)*(b - -5). Suppose 2*r = -5*l + 5, -5*r = a*l - l - 21. Solve 0*h + h - r = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -54. Let m(t) = t**3 - 6*t**2 - t + 8. Let q be m(6). Suppose v + 56 = q*v. What is the remainder when v is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.398682 millilitres in litres?\nAnswer: 0.008398682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 2. Let k(d) = 4*d - 1. Suppose -2 = -v + 2*m, 5*v - 2*v = -5*m + 28. What is v*a(o) + 4*k(o)?\nAnswer: -2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2\/9 (b) -0.3 (c) -1 (d) 284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-4932.537\nAnswer: -4932.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 4:55 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-10))\/(28\/105))\/(19\/(-2128)*-36)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4179 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*a - a. Suppose -2*k = -4*z - 4*k + 10, 0 = z + 3*k - 5. Suppose 4 = 3*q - z. Solve q*u = -a - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854 = 4*f - w - 876, 2*f = 4*w + 60 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 6)*(5*o - 5*o + o)*(-o**3 + 5*o**3 + 0*o**3) - 2*o**4 + 4*o**4 - o**4 to f*o**3 + r*o**2 + g*o + z*o**4 + t and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 6 = 3*g. Suppose -g*j - j = -12. Solve -4*h + h - j = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*y + 147*y + 4624 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(10\/3)*o*o\/((o**(1\/2)\/o)\/o))**6 assuming o is positive.\nAnswer: o**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-9)\/(-36)*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 2 - 32 - 9 + 27*t**2.\nAnswer: 14*t**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/(2\/6). Suppose 0 = 3*v - 6, 2*j - 10 = j - 3*v. Suppose -j*d - 5*y = -y, 0 = d + 2*y - 2. Sort d, c, 2 in decreasing order.\nAnswer: 2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 1900*t\/13 + 451250\/13.\nAnswer: 2*(t + 475)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 30. Let s = -20 - z. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69598, -1, 68?\nAnswer: -69598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 2. Let n = 48 + -37. Suppose -5 = 3*r - n. What is the greatest common divisor of v and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3\/((-15)\/(-10))). Let q = 71\/6 + -12. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -5, 6, -8 in decreasing order.\nAnswer: 6, -5, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1608997656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 86 = 4*t. Let z = -43 - -38. List the prime factors of z\/((-10)\/(-4)) - t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27292555?\nAnswer: 5, 31, 176081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742565047.\nAnswer: 7, 106080721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1069*d + 50. Let k(m) = -534*m + 20. What is -2*a(y) + 5*k(y)?\nAnswer: -532*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (11 + (-39 - 0) - -8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleessllsle. What is prob of sequence sese?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109124, -109108, -109102, -109112, -109144, -109204?\n\"Answer: -s**3 + s**2 + 20*s - 109144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 7. Let x be f(6). Let i be 12\/(-4) + (x - -19). Solve -4*v - s - 2*s = 19, 3*v + i = -3*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134833.80993 to the nearest ten.\nAnswer: -134830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/8 (b) -1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 + 28*j**2 - 32*j + 228. Calculate d(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 52*k - 24*k**2 - 10*k**2 + 11 + k**3 - 10*k**2 + 63*k**2. Is n(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) + 0 - sqrt(11)) + sqrt(11) + -2)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**3 - p**3 - p**3)*((3 + 0 + 0)*(p - 2*p + 2*p) + 4*p - 4*p + p) to o + m*p**2 + u*p**4 + a*p + n*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -18 + 33 + -21. Solve -93*d + 111 + 261 = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/180 + x**3\/6 - 23*x**2. Let n(c) be the first derivative of h(c). Let f(m) = -21*m**2. Calculate f(n(k)).\nAnswer: -84*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*t - 20, 2*s = -2*s - 2*t - 16. Let m = -76.34 + 77. Let u = m - 0.26. Which is the nearest to 0? (a) u (b) s (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 6. Let q(c) be the first derivative of -3\/4*c**4 + 0*c + 3\/2*c**2 - d + 0*c**3. Find the second derivative of q(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o**2 + o + 4. Let j be n(0). Let v = -10 + -2. Let s = -9 - v. Let p(f) = 2*f**2 + 6*f - 6. Let m(t) = -t**2 - 5*t + 5. Give j*m(b) + s*p(b).\nAnswer: 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**2 - 1\/12*d**4 + 0 - 1\/2*d**3 + 22*d. Give o(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4097 is divided by 228.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 34. Suppose 0 = -5*q - n - 23. Let w(b) = -b - 7. What is w(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/139223?\nAnswer: 24\/139223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 36 - 14 = 0. Suppose b*s - 16 = 7*s. Solve -5*g = 5*z - 10, -s*g + 0 = -3*z - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) - (-4)\/(-48). Let v = -4\/889 + -1702\/16891. Which is the nearest to s? (a) 0 (b) -0.052 (c) v (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/4 - 325*d**2\/4 + 295*d\/2 + 630.\nAnswer: 5*(d - 63)*(d - 4)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292)\/8 - (3\/20 + (-9393)\/620).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 minus 25.2374319356?\nAnswer: -626.2374319356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -c + 115, i + 24*c - 117 = 25*c. Calculate the remainder when 575 is divided by i.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469323?\nAnswer: 53, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*g**2 - 200*g + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 413241 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 332532000 a multiple of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*h. Let v be (-1768)\/56 - (-32 - 0). Factor -v*u**2 + 0*u + 0 + 1\/7*u**h.\nAnswer: u**2*(u - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/((-2)\/(-12)). Suppose 9 = d*x, 23 = g + x + 4*x. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = -8. Let v be ((-70)\/(-84))\/((-2)\/(-12)). Suppose 4*n + v*b = -n + 8195, z*b = n - 1627. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -23102?\nAnswer: 23102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.573 + 0.027. Let k = -4 + 3.7. Sort -3, k, t in increasing order.\nAnswer: -3, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, -0.2, 67?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, 1 w, and 1 e when four letters picked without replacement from {e: 3, w: 4, n: 1, a: 2, q: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 746\/9 + -83. What is the third smallest value in -0.4, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 573282?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214441 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/(h**(-4)*h))**37 assuming h is positive.\nAnswer: h**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 6*r - 3. Let g = 33 - 27. What is y(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 4) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -168905c9?\nAnswer: 168905c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59\/4 of a kilometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 + 524*m + 3. Give o(-131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Determine s(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/23 and -165203 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 7, -311, -2, -150 in decreasing order.\nAnswer: 7, 4, -2, -3, -150, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2420 = 2*m. Round m to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/555)\/(-3*(-16)\/(-60)). Is -1 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q - 195992 = 47*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.567 * -1.\nAnswer: 85.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1408, -5630, -12666, -22516, -35180?\n\"Answer: -1407*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.04 (b) -3 (c) 3 (d) -2\/5 (e) -0.503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/155)\/((-2)\/(-80))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = q + 3. Suppose -4*w = -8*w - i + 11, -q*w + 2*i + 14 = 0. What are the prime factors of (4*26)\/1*(w - 2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -142*r + 164. Let z be u(-10). Suppose 37*i + z = 53*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 - 4*c**2 + 0*c**2)*((1374*c + 10135*c - 4770*c)*(c - c - 2*c) + 0 + 0 - c**2) in the form z*c**3 + h + m*c + q*c**4 + d*c**2 and give q.\nAnswer: 13479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -53126182.\nAnswer: -1\/53126182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 not equal to 116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*sqrt(132)*-1)\/sqrt(12) + 0).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 250, 565, 1006, 1573, 2266?\n\"Answer: 63*x**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 18 = -7. Suppose f = v + 9, -2*f = -5*v - 1 - 8. Solve 5*k = z + 3*z + f, z + 18 = d*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 19 - 69 + u + 15 + 64.\nAnswer: u + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35092086 + -20992086. What is p rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -974*a*b**4*u**3 + a*b**2*u**2 - 6*a*b**2 + 100*a*b*u**3 - 2*b**4 wrt b.\nAnswer: -23376*a*b*u**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/(-25))\/(-5 + (-3459)\/(-690)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 + 125*q**3 + 436*q**2?\nAnswer: 120*q**2 + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 10) to base 2.\nAnswer: -11101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 23*a - 38)*(-16 + 61*a - 16 + 33) + (4*a**2 + a**2 - 4*a**2)*(-1 + 0 - 1) - 2*a**2 + 5*a**2 - 4*a**2 - 3*a**2 - 3*a**2 + 7*a**2.\nAnswer: 1401*a**2 + 23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5967559?\nAnswer: 13, 35311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:01 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2479.58 and 205.\nAnswer: -508313.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-11\/5)*u\/((u\/(u\/(u**(-2)\/u)))\/u)*u**(2\/7)*u)\/((u*u**(-1\/8))\/u*u*(u**(-2)*u)\/u*u)**(-22) assuming u is positive.\nAnswer: u**(803\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*d - 2459, -797*j - 3*d - 2431 = -798*j. Is 65 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:48 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d - d. Suppose -4*o + 15 - 3 = 0. Suppose 0 = -5*n - 25, 2*j - 17 = 3*j + o*n. Put 3, j, d in increasing order.\nAnswer: d, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440041.\nAnswer: 167, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 950 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 1. Let c(l) = 1. Let x(s) = s - 5*s + s + 2*s. Let v be x(-2). Give v*c(n) - 2*q(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -230 + 234. Let x be ((2 - 5) + q)*-2. Which is the biggest value? (a) -8 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {i: 5, v: 1, o: 1, h: 3, e: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*8\/20*(-5)\/(-3). Suppose 0*c - 3*c + y = -9, 4*y = -2*c - 8. Solve 0*d**c + k - 2*d + 2\/3*d**3 = 0 for d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 20*f + 19. Let j be x(-15). Suppose j = 2*u - 21. List the prime factors of u.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26103863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 - 58. Let t = h - 64. Which is greater: t or 15\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - j**3 + 0*j - j**2 + 1\/12*j**4. Calculate z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + -0.06. What is the biggest value in -3, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*m - 14, 3*m - 5*x - 14 = m. Suppose 0*q - 2*q + 10 = 0. Suppose -4*j + q*j = -w, m*j + w = 0. Solve -3*c + j = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 6. Let t be z(8). Let d = 87 + -15. Suppose v = -t*v + d. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-2*sqrt(135) + sqrt(135)) - sqrt(135) - sqrt(135))\/(sqrt(6)\/sqrt(2)*3))\/(((-4*sqrt(81))\/sqrt(9) - sqrt(9)) + sqrt(9) + -4*sqrt(441)).\nAnswer: 7*sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 18*b - 18. Let u be w(-10). Let o(t) be the first derivative of 3\/7*t**u + 4\/7*t + 2\/21*t**3 - 3. Solve o(d) = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 18. What is the closest to w in 1, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t**(-1\/8)\/t))*t\/(t*t\/((t*t**(-3\/13))\/t)) assuming t is positive.\nAnswer: t**(-245\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 516 by -548.\nAnswer: -129\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Let p be l(2). Suppose -5*u - p = -x, -4*u - 2 = -4*x + 2*x. Solve -3*b = -i - 8, 2*b - 3*i = -u*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 65*q**2 - 1. Let c be a(-1). Let b = c - 44. What is the units digit of (b\/12)\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -68. Let f = i + 88. Let h = 8 + -3. Sort 0, h, f in increasing order.\nAnswer: 0, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 4:12 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 51*y**2 - 12379*y + 8965. Calculate l(242).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*j - 4*j + 17, -u - 3*j = -19. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**3 - v**4 - v**3)*(-1810 + 911 + 909)*(6 - 2 + 1) to the form g*v + k*v**4 + h*v**3 + q + i*v**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -24040\nAnswer: -2163.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*q**2 + (-2*q - q**2 + 2*q)*(-4 + 4 + 1))*(0 + 31 + 14)*(-7 - 3 + 3).\nAnswer: 1260*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 52397578\nAnswer: -2\/26198789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*m**3 - 559*m**2 + 976*m + 196.\nAnswer: (m - 49)*(m - 2)*(11*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 0*j - 15*j + 3.\nAnswer: -15*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -147550 divided by -11\nAnswer: 147550\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 4. Is u(5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + j**2 - 3*j**2 + 0*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12245?\nAnswer: 5, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4 - 8. Suppose 30*r = 35*r - 680. Let z = -954\/7 + r. Which is the closest to z? (a) m (b) -4\/7 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 + x**2 - 2*x + 1. Let l be w(1). Suppose o + 3*o = 3*f + 411, -306 = -l*o + 3*f. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**5\/10 - 75*w**4\/8 - 69*w**3\/2 - 201*w**2\/4 - 33*w + 272. Solve z(q) = 0 for q.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*(-10)\/(-3). Suppose -o + 4 = 3*g, 4 = -o + k*g - 0*g. Which is smaller: -2\/23 or o?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 7:46 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 8. Give o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 13, -9, 0 in descending order.\nAnswer: 13, 2, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*h - 18*h + 370 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -53*o - 15 + 3 + 51*o + 39*o**2 - 8. Does 18 divide i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197047622 to the nearest integer?\nAnswer: 14037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18 + 2 + 17. Let d(u) = -2*u + 5. Suppose -5*s - 3*v + 14 = v, 2*v + 8 = 0. Calculate s*j(w) - d(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*a - 160 = -7*f, 2*a - 30 = -f. What is the highest common divisor of f and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451 + (-8 - -3)\/1*1.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -237, -226, -213?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 505 = -6*i - s, i - 2*s = 133. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, f: 1, c: 1, u: 9}. What is prob of picking 1 u and 1 r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 10*j = 6*j - 10. Solve -3*k = 4*m + 9 + 4, -3 = 2*m + j*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdf when four letters picked without replacement from {r: 1, f: 5, d: 1, b: 1, n: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z)*(0 + 3 - 5) - 2 + 2 + 2*z + 1 - 3*z - 4 + 0*z + 2*z - 2 + 2 + (-2 + 1 + 3)*(-z - 4*z + 2*z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 114. Suppose -l*f + 246 + 189 = 0. Solve 2*n = -f + 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91019 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v**2 - 3 + 0 - 5*v - 5*v**2 + 10. Let x(l) be the first derivative of -5*l**3\/3 + 3*l**2\/2 - 4*l - 4. Let n = 10 + -5. Give n*x(j) + 3*h(j).\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 14*r - 32. Let q be n(-4). Let h(f) = 6*f + 49. Let z be h(q). Let i = 11 + -11. Solve u + i = -z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673\/201 + 1\/67. Let a = k - 13\/6. Sort 0.5, a, -5 in descending order.\nAnswer: 0.5, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*f + 20, 0 = 6*p - p - 2*f + 181. Calculate the smallest common multiple of ((-154)\/p)\/((-2)\/(-5)) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51975227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = j - 3*j + 4*i, 2*i = -j - 5. Let h be (-23)\/(-3) + 1\/j. Calculate the highest common factor of 20 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -1 + 10\/3*g**3 + 7*g + 0*g**2. Find the first derivative of b(j) wrt j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 4259 = -4283 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 + 3*x**2 + x + 9. What is g(3)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 147451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 490?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 10. Let i be l(-9). Suppose -6*y + 2*y + i = 0. Solve -y*w - 2*w = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 10. Let s = -11 - -8. Put a, s, 2 in ascending order.\nAnswer: a, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**3 + 1001*a**2 + 2*a - 269. What is h(143)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394668458 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -9. Let u(j) = -j**2 - 11*j + 44. Let t be u(-13). Suppose -t = -14*y + v*y. Let r(w) = -8*w + 3. What is r(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 176 = 2*p, 3*p - 5*p + 176 = -5*j. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 29*l**2 + 2*l. Suppose -4*d - 4 = -2*d. Let a be p(d). What is a rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997 - 341 + 4*l - 341 - 319 + 93*l**2.\nAnswer: 93*l**2 + 4*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by ((-826)\/(-126) + -8)\/(1\/(-9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32150 divided by 16075.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 13. Let u be ((13\/(-39))\/((-2)\/k))\/(-1). What is the hundreds digit of (68\/16 - u*-1)*20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*l + 446 + 948 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/7 + 4\/14. Suppose -n*c + 7*c = 60. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/12 - -5)*(-2 - -68). Let w(n) = n**3 - n**2 + 3*n + 1. Let v be w(2). Calculate the highest common factor of a and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 4, o: 1, y: 5, a: 1, b: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let x(z) = 133*z**2. Calculate s(x(m)).\nAnswer: -133*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6210172*b**2*h + 3*b*h + 5864*b - 16*h wrt b.\nAnswer: 12420344*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i + 4. Let u be y(-2). Suppose 2*p = u*h + 7*p - 148, 12 = 3*p. Calculate the highest common divisor of 224 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(192)*-1 + -4 + -3*(sqrt(192) - 2*sqrt(192)) - ((2 + -1*sqrt(192) - sqrt(192)) + -4))**2.\nAnswer: -9233 + 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let i(s) = -10*s - 5. Let k(b) = -6*b - 2. Let m(r) = 2*i(r) - 5*k(r). Let d(x) = -3*m(x) + 16*p(x). Let n(z) = -29*z**2. Give d(n(h)).\nAnswer: -58*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6707\/8 + -841. Let w = -3 - 2. Calculate the common denominator of u and 4\/(-20)*w\/(-22).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89400 to the nearest 1000.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21410.8 decades to years.\nAnswer: 214108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9268685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 + 5*t - 3. Let w be r(-6). Suppose 16 = -2*h + 6*h - w*d, 0 = -2*d. What is the units digit of 2\/h + (-15)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15603050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 2*s**3 + 0*s**3)*(-99 + 79 - 107)*(2*s - 5 + 5)*((1 + 1 + 0)*(-4 + 5 - 3) + 0 + 0 + 1).\nAnswer: -1524*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 11. Let h be z(-8). Let b(y) = 6*y + 2. Let q(g) = -g - 1. Let d(j) = -24 + 12 - j + 10. Let o(u) = -2*d(u) + 5*q(u). Calculate h*b(c) - 7*o(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*l = -12, -5*t + 4*l - 5 = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 18 = -2*x - 5*z, -4*x - z + 18 = 0. Does 15 divide 5*2\/x*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + 2 + -2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 866*i - 863*i. Solve 3*o + 3*k + 3 = 0, 4*o + 0*k + i = 5*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i - 5370 = -67*i. What is the derivative of 36 + 1074*z + 17*z**3 - i*z wrt z?\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370798610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9718020 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -647.1, -1\/4, -49, 4, 4\/5, 0 in decreasing order.\nAnswer: 4, 4\/5, 0, -1\/4, -49, -647.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**9\/504 - 473*b**6\/30 - 223*b**5\/60 + 2*b**2 + 3459. What is the third derivative of f(r) wrt r?\nAnswer: 120*r**3 - 11352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 27 + 3. Suppose 3*b - k*h = 172, 3*b + 5*h = 2*b + 64. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144475481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*m + 8*l - 9*l, -3*l + 5 = -2*m. Suppose 22 = -4*o - 4*x + 2*x, 2*x = m. Which is bigger: -41\/8 or o?\nAnswer: -41\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.2 (b) -2\/19 (c) -2\/5 (d) 1\/1350\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + (-6*(1 + sqrt(176)) - (sqrt(176) + -1*sqrt(176) + 2)))*-4)**2.\nAnswer: 5376*sqrt(11) + 102160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.8 and 196021081.\nAnswer: 196021068.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 + 124. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1879.4*1784.\nAnswer: 3352849.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*x**3 - 2\/9*x**4 + 2\/9*x**2 + 0 + 2\/9*x.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 10) in base 2?\nAnswer: -10011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2596 - 10319\/4. Factor k*c**2 + 4*c - 1.\nAnswer: (5*c + 2)*(13*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u + u**2 + 0*u**3 + 2\/105*u**7 - 70 + 0*u**4 - 1\/6*u**6 + 2\/5*u**5. Suppose h(z) = 0. What is z?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -y - 4*g, 2*g - 3 - 95 = 12*y - 2*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2322679816 to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1352, 1218, 990, 662, 228, -318, -982?\n\"Answer: -a**3 - 41*a**2 - 4*a + 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1008063 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/4*(-24)\/6. Is v greater than or equal to -17\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**7\/21 + 7*m**6\/20 - m**5\/30 + 151*m**4\/24 + m**3\/3 - 3907*m**2. What is the second derivative of h(p) wrt p?\nAnswer: 120*p**2 + 252*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + 19*a + 2. Let w be t(16). Suppose 5*u - w = -h, 0 = u + h - 62 - 200. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5195)\/(-2) - (-3)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-105)*57\/76. What is the biggest value in s, -0.4, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51541 and 3367?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3 - 3)*(-2 + 0 + 4)*(-47 - 38 - 12) + (r + 3*r - 2*r)*(-r - 2*r + r) - 4*r**2 - 1 + 1.\nAnswer: 574*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/45? (a) -3\/5 (b) -2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 8) in base 16?\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**3 + 2*l - 64 wrt l.\nAnswer: 21*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25949704 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 14 + 2. Let n be (4\/f)\/((-2)\/3). Let v be (n - 4)\/(-3) + 0. What is the greatest common factor of v and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 13*o**3 + 37*o**3.\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 79*j**2 + 9 + 134*j**2 + 0.\nAnswer: 213*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (78\/624)\/(2\/(-4)). Which is the biggest value? (a) -1.3 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17091, 63854, 141789, 250896?\n\"Answer: 15586*b**2 + 5*b + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -1\/2*t**2 + 15*t + 142. Calculate m(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9575 + -9485. What is the greatest common factor of n and 9495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30867355*i**2*t**2 + 25937662*i*t**2 wrt i.\nAnswer: -61734710*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.597 plus 0.4?\nAnswer: 27.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b + 1353. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*((-240)\/24)\/120.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - u = r + 1, -5*u + 15 = -5*r. Suppose 0 = -r*c + 4*c. Solve -3 = 2*t + f, c*t - 4*f + 3 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25275 is divided by 160.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 300804111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c694 - -12a?\nAnswer: -c567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 2. Let g be z(-1). Solve -v + 4*y = -25, v + g = -0*y - 4*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 0.2 (c) -174 (d) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 minus -25852549055?\nAnswer: 25852548952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*-4*(sqrt(91)*5*-2)\/(sqrt(448)*2 + sqrt(448)).\nAnswer: -40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13335766 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g**2 + 1. Let w(m) = -5*m**3 + 4*m**2 + m - 2. Let a(n) = 4*q(n) + w(n). Let y be a(0). Factor y*d**3 - d - 4*d - 4 - d.\nAnswer: 2*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2*y + y)*(-1 + 0 - 1).\nAnswer: 2*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*p - 156*p + 59*p + 96*p - 176*p as k*p + h and give k.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -45 - 92) + 40?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 32*t**2 + 35*t - 62. Let j be k(33). Suppose 7*w = 10*w. Solve -8*z - 36 - j = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjsj when four letters picked without replacement from sjxzqjxsxjjpxq.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2*v**7\/35 + v**5\/10 - v**2\/2 - 6. Let g(p) be the second derivative of d(p). Find the third derivative of g(z) wrt z.\nAnswer: 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s + 6. Let t(l) = -9*l - 12. Let i be 1\/(-3)*(-9 + 9) + -4. Let f(g) = i*t(g) - 7*y(g). Give f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:25 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 1, z: 1, i: 2, v: 1, d: 2}. What is prob of picking 1 v, 1 i, and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.9 + 53.2. Let s = q - -10.7. Let l = -1\/139 + 283\/695. Which is the third smallest value? (a) 1 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p**2 - 3*p + 6. Let l(b) = -16*b**2 + 2*b - 5. Determine -6*l(j) - 5*y(j).\nAnswer: 11*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*-2*(-2)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 762821 + -4?\nAnswer: 762818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6835 is divided by 2005.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, -2.84, 2\/9, 0.11, 7.9, -0.1?\nAnswer: -2.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**3 + 130*d**2 - 3*d + 3. Let h = 170 + -135. Let a(i) = 95*i**3 - 1560*i**2 + 35*i - 35. Let o(u) = h*x(u) + 3*a(u). Factor o(w).\nAnswer: 5*w**2*(w - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048235 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2124*b - 34452. What is r(17)?\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152764 and 6?\nAnswer: 458292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103110202 - 202?\nAnswer: 1103110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o - 7. Let n be a(-5). Let x be n\/8 - (-68)\/16. Let t = 4 - x. Solve t*r - 9 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = g - 37, 36 = 3*g - 4*a - 100. Let q = -25804 - -25895. What is the highest common divisor of g and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.98 + -7. Let p = -0.38 + i. Let y = 0.2 - 0.2. What is the second smallest value in y, 5\/4, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/8)\/(n*n**(-3\/11))*(n**27\/n)**31)**(-34) assuming n is positive.\nAnswer: n**(-1203379\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 53?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-4 + 2)\/(-2)). Suppose 0 = -3*j - 3*r - 9, 16 = -j + 3*r + 1. Suppose 14*n = 9*n - 5. Sort n, f, j.\nAnswer: j, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2*t + 5. Let r be i(-6). Let m = 56\/3 + r. Is m at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 + -85. Let h = 72 + v. Let n = h - 66. Does 0 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 6*o**2 + 4*o + 4. Let z be (3 + 4)*(-1 + 2). Let f be 3 + (1 - 1)\/(-1). Suppose 3*u + 0 = -3*p + 3, -f*u + z = 4*p. Calculate a(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*j**4*x - 579701*j**3*x + 4731*x - 2344 wrt j.\nAnswer: 20*j**3*x - 1739103*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmg when four letters picked without replacement from lhlhgjhlmmlhlllllhlj.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*sqrt(76)*2)\/(sqrt(100)*1 + sqrt(100) - sqrt(4)))**2*-6.\nAnswer: -2324\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(0 + sqrt(1900) + 2 - sqrt(1900)) - (-4 + (sqrt(1900) + -1 + sqrt(1900))*-6 + (sqrt(1900) + 2)*6))**2.\nAnswer: -2880*sqrt(19) + 68976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116468893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 12, -5*r + 155 = -11*c + 16*c. Suppose 2*j + 2*j = 144. Let h = j - r. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -28. Suppose 6*f = -0*f + 6. Is r bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t**2 - 2*t**3 + 6*t**2 - 19*t**4 + 25*t**4 + 6*t**2 - t - 1 as v*t**2 + x*t**4 + j*t**3 + p*t + f and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(187) - (sqrt(187) + -2*sqrt(187)) - sqrt(187)) + sqrt(187))\/(2*sqrt(176)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11131434*h**4 - 11565*h**2 - 26.\nAnswer: -267154416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34656164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 101, 156, 211, 266, 321?\n\"Answer: 55*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1804586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 891\/1188*(-1)\/(3\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p + 5. Let o = p - -7. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*a - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b27 + 590?\nAnswer: -5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5210*w + 2*c = 5215*w + 51, -5*w + c - 33 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 9) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*g + 75, 3*g - 2*g + 2 = 0. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 32*z + 8 as m + b*z and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*h - 69471 = -151*h. What are the prime factors of h?\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 31*x - 34*x + 12, -4*o - 5*x + 19 = 0. Solve 2*a - 9 - o = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 192 + 24 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15180924*r**2 - 29*r + 25*r + 15180922*r**2.\nAnswer: -2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - -15 - -8 - 6 - (1 + 10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(54\/(-36))\/((-3)\/(-1)). Suppose 6*x + 9*x = 105. Suppose 4*r = -12, 10*c - x = 5*c - r. Put 4, z, -1, c in increasing order.\nAnswer: -1, c, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 8. What is i(9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 962 * -7\nAnswer: -6734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -133\/5488656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**3 + 6*o**2 - 17*o. Let l(d) = -3*d**3 - 2*d**2 + 6*d. Let v be (-35)\/(-7) + 4\/(-2). Suppose v*a = -10 - 41. Calculate a*l(c) - 6*i(c).\nAnswer: 3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from ccffdfcdffccf?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from ubbbu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 58*s**2 - 287*s + 1301. Give j(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + (sqrt(135) - -6*(sqrt(135)*-3 + sqrt(135))))\/(sqrt(35)\/(sqrt(7)*-3)))\/((sqrt(270)\/sqrt(5)*-3)\/(4*sqrt(24)\/sqrt(4) + sqrt(6))).\nAnswer: -50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1281 + 1283. Which is the closest to v? (a) -107 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 3 - (-3 + -1 + -92). Suppose 107 - w = 4*x. Suppose 2*i = 3*i - 2. Calculate the remainder when x is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**3 - 3*a**2 - 5*a. Let x = 126 + -122. Let q(v) = 6*v**3 - 2*v**2 - 4*v. What is x*f(o) - 5*q(o)?\nAnswer: -2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**2 - 578342480*y + 16724001208627520 = 0.\nAnswer: 57834248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:32 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - 7d69e?\nAnswer: -7d6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -3508807.\nAnswer: 3508807.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.18408um in meters?\nAnswer: 0.00001318408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3995 less than or equal to -3994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -199, -5, 337, -0.2, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*-2 - -3)*-1. Let q(j) = j - 7*j + 3*j - g - 1. Does 11 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*o - 5*n, -5*o - 2*n - 3*n + 5 = 0. Factor 0 - 4\/3*a**2 - 2\/3*a**o + 2\/3*a + 0*a**3 + 4\/3*a**4.\nAnswer: -2*a*(a - 1)**3*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23604, 5, 4, 17 in decreasing order.\nAnswer: 17, 5, 4, -23604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:35 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w + 1. Let v(j) = -j. Let d(k) = -4*v(k) - z(k). Suppose -318*q = -320*q + 8. Suppose -5*x = -3*u - x + 9, 19 = -q*u - 5*x. Calculate d(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -7. Let w = 24 + -22. Suppose -c*v + 13000003 = m, w*m + 3325931 = 5*v - 9674063. What is v rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/75, -29.3, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234376 is divided by 123?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -5 - (0 + -4 + 26 + -28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/7*((-222)\/12 + 19)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 720136914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 16. Suppose 0*w - 120 = -3*w. Suppose 4*c + 17 = 3*b - 35, -w = -2*b + 4*c. Calculate the remainder when b is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1395 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -1251294?\nAnswer: -1251295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*v + 17700 = 17723, -4*q + 56 = -2*v for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 21653413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.32 - -1.48. What is the second smallest value in -1\/6, z, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7870000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 1135238?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143\/(-104) - -2 - (-2)\/(-4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:33 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/((-1)\/(-5)). Suppose v - 10 = -u + 4*v, -4*v - 8 = 0. Suppose u*o = k*o. Solve w - 14 = -3*p - 3, p - 4 = o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Suppose -g + 18 = -132. Suppose 24 = w*z - g. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 16. Let b = d - -25. Solve -a - 4*l = b, -1 = a - 0*l + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 1 (b) 4 (c) 1.25 (d) 2\/9 (e) 44 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 6*u + 1. Let q be k(-6). Suppose 3*w - 2*w - q = 0. What is the smallest common multiple of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nrnrnrnrnrnrr?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116117021 to the nearest integer?\nAnswer: 10776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 142 in -1, -219, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4.4, 2\/3, -25, -10\/11 in ascending order.\nAnswer: -25, -8, -10\/11, 2\/3, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54332015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-54 - (1 - (1 - 11)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24746496 divided by -8248832?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n - 26. Let q(i) = 38*i - 103. Let a(t) = 13*m(t) - 3*q(t). Calculate a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -21*a + 14. Let y(g) = -8*g. Calculate y(d(u)).\nAnswer: 168*u - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + b + 5. Let h be w(0). Suppose -3*m + 27 = 36. Sort 1, m, h.\nAnswer: m, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:56 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 340. Is c a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 36 = 3*z. Let i(k) = -2*k**2 + 25*k - 69. Suppose -63 = -7*y - 7. Calculate the least common multiple of z and i(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 14*h + 55. What is the smallest common multiple of 8 and p(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (111*r - 55 + 55)*(4 - 4 + 2*r)*(1 - r**2 - 1) as v + l*r**2 + s*r**4 + a*r + z*r**3 and give s.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 17*w - 64 + 2*w - 54 + 2*w.\nAnswer: 21*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 5*v + 16, -4*m + 3*v - 22 = 8*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 161 = -3151. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23408514355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 29 - 5)*(239*h**3 + 210*h**3 - 113*h**3) in the form m*h**3 + b*h**2 + i + u*h and give m.\nAnswer: -9072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 94*w**2 + w - 1. Let l be g(1). Suppose 0 = 5*x - x - 20. Suppose 0 = -5*a + 2*q + l, -x*q + 3 = -4*q. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c393 (base 13) to base 9\nAnswer: -234657","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 - (-3 + 0\/5). Let o = -8 - -24. What is the highest common factor of z and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/171? (a) -1\/2 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648830.\nAnswer: 2, 3, 5, 17, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppczpwwppp. What is prob of sequence wwp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 573028 at most 573045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnh when three letters picked without replacement from gggxbnh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11403 and 799839.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 960 and 3882?\nAnswer: 621120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878191.\nAnswer: 7, 157, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210656 and 102604.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 4*l**2 + 2*l + 2. Let o be m(2). Calculate the remainder when 57 is divided by (15\/10 + o)*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43527)\/210 - 1\/5. Let k = 1022\/5 + u. What is the common denominator of k and -111\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 6*z + 10. Let l be c(-5). What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1230440 + -12120?\nAnswer: -1243000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 4, -6, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.5 and -22.4.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 39. Let r = 710 - 549. What is the highest common factor of z and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-301)\/768)\/((-4)\/(-42)). Let r = c - 5\/512. Calculate the common denominator of r and (134\/10)\/(96\/(-40)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358330?\nAnswer: 2, 5, 335833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174858961 to the power of 1\/2, to the nearest integer?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -188858816 <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4 - 32302*f**3 - 4*f**2 + 10*f + 20161 wrt f.\nAnswer: -120*f - 193812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*(-48)\/(-24)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 479 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2402.2227 rounded to the nearest ten?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948685.\nAnswer: 5, 17, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, c: 6, m: 3}. Give prob of sequence dcdc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + i**2 - 3*i**2)*(-3*i - 1 + 1)*(4 + 1 - 4)*(5 - 3 - 7) + 3*i**3 + i**3 - i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 18 = 3*q, -14*r = -12*r + 4*q + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0017 + -0.0217. Let h = 0.1 + -0.6. Which is the third smallest value? (a) -1\/5 (b) z (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 - -13.88. Let c = 13.67841 + 0.02159. Let z = c - b. What is the third smallest value in 24, -3\/8, z?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, z: 5}. Give prob of picking 1 z and 2 l.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 346319 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hfhhhhhhfhhhff.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/9816 and -97\/239265?\nAnswer: 1914120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**8\/168 + s**7\/105 - s**6\/30 - 11*s**2. Factor d(c).\nAnswer: 2*c**3*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -58.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Let v(y) = 4*y - 4. Let l(h) = 2*g(h) + v(h). List the prime factors of l(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -107873, -107891, -107921, -107963, -108017, -108083?\n\"Answer: -6*o**2 - 107867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -8 (c) -1.77 (d) -6588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56387817 to the nearest integer?\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 6*k - 3*k - 1625*k**3.\nAnswer: -1625*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100003 = 2*m + 3*i, -31*m = -38*m - 5*i + 349972. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/9 - -1)*(-3)\/2. Let w be (1\/3*p)\/(36\/(-702)). What is the second derivative of 23*k - w*k**2 + 13*k**2 + 21*k**3 wrt k?\nAnswer: 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -3, -2, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -917 + 921. Solve -2*t = m - i*m, -5*t = -4*m + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 327 - 117. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -24. Is 3 a factor of (-1*32)\/(-2) + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.9076 - -0.1\nAnswer: -12.8076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 282\nAnswer: 1\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 2*p - 8, 14*p + 2 = x + 18*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 5*j - 4. Let q(b) = 2*b**2 + 4*b - 5. Let m(p) = 3*d(p) - 2*q(p). What is the units digit of m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13916\/(-24353)*(-294)\/(-16)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 6*r - 3*r)*((2*r**4 - r**4 - 3*r**4)*(-2 + 4 - 7) + 2*r - 2*r - r**4 - r**2 + r**2 - r**4).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, 1 p, and 1 a when four letters picked without replacement from qffqpfqaqqpwq?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {f: 2, t: 7, s: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, p: 1, j: 1, i: 1, u: 2}. Give prob of sequence xo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 42) + (592\/48 - 12) + (-424)\/(-42).\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513523 is divided by 287.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 1320?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 144*h**2 + 287*h + 3. Give b(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/3680296 and -49\/374.\nAnswer: 40483256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*g - 250, 5*m - g - 317 - 263 = 0. Which is smaller: 122 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -255*q**3 - q**2 - 153*q - 3. Let c(m) = 762*m**3 + 3*m**2 + 458*m + 8. Let x(h) = 3*c(h) + 8*f(h). What is the third derivative of x(z) wrt z?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + (sqrt(847) + 2)**2 + (-3 + sqrt(175))**2).\nAnswer: 90*sqrt(7) + 6210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g + 57 - 97. Calculate the highest common factor of 54 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*h**3 + 3110*h**2 - 30018*h - 2160.\nAnswer: 2*(h - 9)*(h + 120)*(14*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*d**2 + 25*d**2 + 105*d**2 - 64*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1325, 1323, 1321?\n\"Answer: -2*j + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -12. Let x = b - -17. Find n, given that -n**2 - n**4 + x*n**2 - 4*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 48 + 6599*m - 75 as x + f*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b*k*l**2 - 233*b*k*l*m - 2*b*l**2 - b*l - k*l**2*m - 6*k*m - 2*k - 135*l**2*m wrt l?\nAnswer: -16*b*k - 4*b - 2*k*m - 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*k - 5, -g - k + 5 = -0. Suppose -2*l + 44*h + 18 = 47*h, -26 = -3*l - g*h. What is the lowest common multiple of 2 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3806 - 4197 = -31*j - 1958. What is the remainder when j is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**2 + 2*h + 14. Let x(d) = 18*d**2 + 5*d + 27. Let k(j) = 9*r(j) - 4*x(j). Let g be k(-18). Is 12 a factor of (2\/(-3))\/((-11)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -25, -49, -93, -163?\n\"Answer: -o**3 - o**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3860*p**3 - 483*p**3 + 10463*p**3 - 2 + 5620*p**3.\nAnswer: 19460*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, -5 in increasing order.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10230 - -1?\nAnswer: 10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - -57) + (-28 - 59) + 71?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790272611?\nAnswer: 790272611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(720) - (3 + 1*sqrt(720) + sqrt(720) + sqrt(720))) + sqrt(720) + -2 + sqrt(720) + -1)*2)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 17 = -3*o, 4*n - 11 = -103*o + 102*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 22144*h - 22142*h - 2*g, 0 = h - 5*g - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-19 + 7 + 11)*(-3 + 3 + m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36452545 to the power of 1\/2, to the nearest integer?\nAnswer: 6038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 740309511 to the power of 1\/2, to the nearest integer?\nAnswer: 27209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 16*j**2\/7 + 34*j\/7 - 20\/7.\nAnswer: 2*(j - 5)*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 18*w. Let v be k(4). Suppose -5*m + 4 = -16. Suppose 0 = -0*c + m*c - v. What is the remainder when 34 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*h, -4*h = 2*t - 4*t - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 21 = -21*u. What is the first derivative of 17*k**2 + 5 + u*k**2 - k**2 + 14 wrt k?\nAnswer: 74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 - 25 = 0. Suppose 5*p = a*p + 306. Calculate the greatest common factor of 34 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70670.\nAnswer: 2, 5, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164.246 - -0.246. Let o = k + 163.9858. Round o to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0012 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6076078727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + 4*u - 6. Let s be l(6). Let p = s - 14. Let y = 13 - p. 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 nearest to 0.1 in -0.035, -5, 1\/4, -1\/6, 13?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllnlllllnllll. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*v - 0*p - 150116, -3*v - 5*p = -225176. Suppose -y = v + 148943. Round y to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p - 4. Let g be m(-3). Suppose g*j + 489 = 1644. Let f = 251 + -192. What is the remainder when j is divided by f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*h - 593 + 593)*(-h + 0*h - 2*h)*(-3*h - 12*h + 16*h - 1).\nAnswer: 288*h**3 - 288*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*r + 414*t - 415*t, -3*t + 18 = -4*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) - (-1*sqrt(432) + sqrt(432))*-3)))\/(1*sqrt(100)*-4) + 1.\nAnswer: -3*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Let n = -5.0000004 + l. What is n rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + 27. Let j = -25\/459 + -42437\/4590. Calculate the common denominator of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2)*8\/12. Let l be 21*(y - 21\/9). Let g(p) = p - 2*p - 2 - 7*p. Let u(k) = -7*k - 2. Determine l*u(v) + 6*g(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + 0.06. Let x = -1846\/11 + 168. Let a = 0.689677 + -0.889677. Sort a, x, h in decreasing order.\nAnswer: h, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 4. Let c(m) = 25*m**3 - m**2 - 3. Let n be c(2). Suppose 2*u + 33 = -3*d + n, -105 = -2*d - u. Let g = d + -42. Calculate z(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1208772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60558447329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 45. Let t(q) = -23*q**2 - 1715. Determine t(s(v)).\nAnswer: -92*v**2 - 4140*v - 48290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/o*o*o*o*(o*(o\/(o\/(o**8\/o))*o)\/o)\/o*o*((o*o\/o**(1\/4))\/o)\/o*o**8 assuming o is positive.\nAnswer: o**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 7*s. Let t be u(6). Let h(r) = 3*r**3 + 0*r + 9 - 4*r**3 - 5*r - 4 - 7*r**2. Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9109095, -9109101, -9109103, -9109101, -9109095?\nAnswer: -9109085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (558\/3348)\/(17\/(-6)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56817 rounded to three decimal places?\nAnswer: 0.568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84082 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 116 = 28. Let b be (-18)\/g*(-16)\/12. Find m such that 0*m**2 + 3\/4*m**5 + 0*m - b*m**4 + 0 + 3\/4*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 79*j**2 + 22*j - 9. What is the hundreds digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/6 + (-3)\/(-9). Let f = j + 0. Suppose -f*h = 2*s - 41, -3*s = 3*h - 10 - 35. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00334 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n - 69. What is a(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.88 - 1.58. Which is the second biggest value? (a) -4 (b) 3 (c) g (d) 122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*u - 7 = 0, 0 = -g + u - 2 - 2. Let z be (1 + g)*1 - -3. Suppose 0 = 2*y + z*y - 35. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 260\/(-912) - (-82)\/2337. Which is the fifth biggest value? (a) -1\/166 (b) s (c) 1 (d) 3 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 5*u = -44*h + 5, 2*u - 10 = 0. Solve 3*d + 0*d = 2*n, -h*d - 5 = -n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 117 = -4*p - p, -5*d - 20 = 0. Round p to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*p - 0, -5*o - p = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9990054 divided by -6.\nAnswer: -1665009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let v(u) = 305710614*u. Calculate z(v(k)).\nAnswer: 93458979512256996*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h**3 - 13*h + 5*h + 9*h**3 - 2*h**2 + 15*h**3 + 9 - 42*h**3 to the form m*h**3 + f*h + s*h**2 + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120378803 divided by -503677.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 5467?\nAnswer: -5458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/169 - 11*2\/156 - (-123)\/(-666)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 15*k + 57 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -26*v**2 + 3379*v - 13432. Calculate x(4).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2 + 2)*(19*r**2 + 15*r**2 - 32*r**2).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibaabaaab. What is prob of picking 1 b and 1 i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9711346?\nAnswer: 2, 29, 167437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25359865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 509. Let c = -402.9979973 + w. Let a = 0.002 - c. Round a to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32595834587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017827 times 0.0539?\nAnswer: 0.0009608753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330031222 (base 4) to base 12.\nAnswer: 206522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 92 and 108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26680 + -26695.9076. Let o = 0.0724 - l. What is o rounded to 1 dp?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(15 - 14*x - 15) + 0 + 2*x + 0.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1406*c**2*g**2*s - c**2*g**2 + c**2*g*s - 9*c*g**2 with respect to s.\nAnswer: -1406*c**2*g**2 + c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 12. Let k be m(-8). Suppose -4*j + 8 = -5*j + k*c, 4*j - 5*c = 1. Solve 0 = -5*y - j*d + d + 37, -3*d = -4*y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(567) + -1 + -4 + -2 + (sqrt(567) - (sqrt(567) + 0)) + -1 + (-4 + -2 + sqrt(567) + 2)*-4)**2.\nAnswer: -2592*sqrt(7) + 31002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1\/2, -109, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -233441551 - -233441657.999077. Let i = w + -107. Round i to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.094 - -0.23. Let o = b - -36.226. Let t = -37 + o. Round t to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (0 - 4))*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = q - 9, 2*c - 5 = -5*q + 8. Let g(m) = m**3 + 6*m**2 - m - 2. Let n be g(-6). Solve 4*a - 5*z - 45 = -a, -4*a - c*z = -n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 43. Let u = 19 - 19. Suppose u = 10*s - 11*s + 33. Calculate the remainder when s is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1264999 and -61\/39.\nAnswer: 49334961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 563277*s. Let b(r) = -2*r + 1. Give b(w(p)).\nAnswer: -1126554*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2 - 1. Let l(v) = -28*v + 8 + 53*v - 20*v. Let z(d) = d + 1. Give q*l(f) - 6*z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -1) + (-17 + 8 - -2 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of (-9)\/((-27)\/5718) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + s - 1. Let q(a) = 18*a**2 + 15*a - 4. Let h(l) = 5*j(l) + q(l). What are the prime factors of h(-9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**3*t**2 - 2*b**2*t**2 + 2*b**2 - 7 wrt b.\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, -10, -149, -518, 5 in descending order.\nAnswer: 5, 2, 0, -1, -10, -149, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c. Let z(r) = 4*r. What is z(m(q))?\nAnswer: -76*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 greater than or equal to -170609\/1212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1043329 and 1043325 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n. Let r(z) = 3*z. Let t(i) = i. Let g(d) = -2*r(d) + 5*t(d). Determine -10*g(j) + y(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.226\nAnswer: 0.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/8 and -61\/898.\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 13*v - 1. Let q = -350 - -337. Give n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - r + r + (-12*r**3 + 39*r**3 + 19*r**3)*(-5*r + 1 + 4*r + 3*r) to j + c*r + o*r**2 + p*r**3 + q*r**4 and give q.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 1 = -g, 607*g = 602*g + 15*x + 65 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 75 = -0*r. Let n = 234 - 225. Calculate the remainder when r is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1123876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 + f**2 + 36 - 5*f**4 + 22 - 57 + 2*f + 3*f**4 in the form p*f**3 + g*f**4 + b + h*f + o*f**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from ihhihihhhhi.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 9*n**2 - 54*n.\nAnswer: 3*n*(n - 3)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*l + 8, 3*l - 2*l + 2 = 4*n. Let f(p) = -p - 3 + p - 2*p - l*p. Is f(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1\/1 - -2. Let o = b - -4. Factor 2*c + 8*c**2 + 2*c - 2*c**o.\nAnswer: 2*c*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1 - (5 - 7 - 2). Solve w - 3*o - 12 = 0, -5*o = -w + p*w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 2*(sqrt(84) - (sqrt(84) + (sqrt(84) + 4*sqrt(84) + sqrt(84) - sqrt(84)))) - sqrt(84))\/(sqrt(108)\/(sqrt(9)*-2)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15559 at least -15558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -824.1 + 843.1. Which is the second biggest value? (a) -0.6 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*s = -42, 0 = 2*s + s + 15. Suppose -8 = -g*t + 16. Solve -t - 2 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54292015.99 to the nearest one thousand.\nAnswer: -54292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 127*r - 496. Give b(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*h**5 + 0*h - 20\/3*h**3 + 0*h**2 - 22\/3*h**4 + 0.\nAnswer: -2*h**3*(h + 1)*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9423 + -1.5423. Which is the third biggest value? (a) f (b) 9.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - ((4 - 5) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -44*u**3 + 7*u**2 - 10*u - 7. Let t(r) = -22*r**3 + 4*r**2 - 6*r - 4. What is -4*b(y) + 7*t(y)?\nAnswer: 22*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**3 + 7\/3*i**4 + 23*i - 39\/2*i**2 + 0. What is the derivative of f(w) wrt w?\nAnswer: 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20 = 4*y + 3, -2*y = -5*d + 43. Suppose -473 = d*m - 1453. What is the remainder when m is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -268, -269?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2633 * -4.\nAnswer: 10532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21142333 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 9*h + 10*h - 69029*h**2 + 32*h**4 + 69028*h**2 as i*h**4 + t*h + s*h**3 + o + u*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1952, 3902, 5852, 7802?\nAnswer: 9752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + (-1)\/(-4). Let f(y) = 3 - 4*y + 9*y - 4*y. Let q be f(n). Solve 3*i + 3*j = -j + 17, q*i + 28 = 5*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 2*b**2 + 0*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 52, -5, -3812, -2.\nAnswer: -3812, -5, -4, -2, 0, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63792980.\nAnswer: 2, 5, 877, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (6 + 3 - (-21 + 21 - 1))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-9)*(-18)\/2. Let f(v) = v**2 - 23*v + 12. Let p be f(y). Let s = p - -32. Solve s*n + 8 = 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 114421 and -73.\nAnswer: 114348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1078, 1 in increasing order.\nAnswer: -1078, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 369242.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701825?\nAnswer: 5, 148073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 - 10?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 83, 268, 631, 1232, 2131, 3388, 5063?\nAnswer: 7216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1271.042 micrometers to centimeters.\nAnswer: 0.1271042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 1442*u - 256314. What is g(160)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 174633, 349078, 523523, 697968?\n\"Answer: 174445*m + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210486083 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s + 7. Let i be a(-7). Let y be ((-216)\/(-84))\/(6\/i). Calculate the greatest common divisor of y and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -12. Let p = -8 - -9. Let k = 12.932 + 0.068. Sort p, k, z.\nAnswer: z, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/5 + 36*o**3\/5 - 63*o**2\/5 + 6*o = 0. Calculate o.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 120*v**2\/7 - 114*v\/7 - 236\/7.\nAnswer: -2*(v - 59)*(v - 2)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 < -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 39.02542m?\nAnswer: 3902.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.06 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/3)\/(s\/(s\/((s\/(s\/(s\/(s\/(s**(2\/5)*s)))))\/s))))\/(s**(-5)\/s*s**(-4\/3)*s) assuming s is positive.\nAnswer: s**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-160)\/(-360) - (-357)\/(-135)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 6\/(-27) + 886\/18 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 3*q + 4*q + (0 + 2 + 1)*(0*q - 2*q + 3*q) + 268*q + 707 - 707 in the form h + l*q and give l.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60942 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*u - 20 = 0, 4*u = 9*u + 20. Solve -r + 4 = -l*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6669)\/(-27) - (1\/1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.381 - 19.41. Let a = 0.029 + d. What is the second biggest value in -7\/3, a, -1\/6?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i + 9544 - 3181 - 3211 - 2*i - 3195. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20161 + -19701. What is the least common multiple of c and 1610?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -107, 9, 3, -11.\nAnswer: -107, -11, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*2*(-3)\/12. Suppose w - 3*a - 15 = 2*a, 2*w + h*a - 6 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/250 (b) 2\/11 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:45 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 + -127. Suppose -g = -3*n + 2*u - 3*u, -3*n - 3*u = -66. Suppose 0 = 2*t - 4*t + n. Calculate the greatest common factor of t and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.195472853 rounded to four decimal places?\nAnswer: -2.1955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20*33\/(-4180)*-133\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 98 = 262. Let v = 72 - m. Suppose q = -v*q - 0*q. Solve q = -2*f + 10, 3 = j + 4*f - 3*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/162718215 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -255 (c) 9 (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(176)*4 + sqrt(55)\/(-1*sqrt(720))).\nAnswer: -191*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5465*-2011\nAnswer: -10990115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axaa when four letters picked without replacement from {n: 2, a: 3, x: 1, w: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 20 = -4*y, -4*x + 2*y + 10 = -0*y. Suppose -5*j - 4*w = 95, -5*w = -2*j - x*j - 5. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = 2*w, 7 = w + 2. Let q = k + 28. Calculate the highest common factor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f*u**3 + 1503*f*u**2 - f*u + 1771657*f + 54*u**3 - 2*u**2 - 1 wrt u?\nAnswer: -108*f*u + 3006*f + 324*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, c: 2}. Give prob of sequence tc.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s - 166. Let r be l(35). Calculate the highest common factor of r and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + (-1)\/(-2). Let r = i - -3. Suppose 3*o + 1 = 5*m - 24, -r*m - 4 = 2*o. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 65. Suppose -3*m - 296 = -c*m + 4*j, 2*j - 4 = 0. What is the highest common divisor of m and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 3*o - 5. Let d = 11 - 15. Let b be p(d). Let l = b + -5. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219101 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 9*b**2 + b - 12. Let z be c(9). Let g be 0 + 2 + (-162)\/z. What is the units digit of (1 - 60\/8)\/((-4)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1750 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:48 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367 - 367 + 206*w - 54*w.\nAnswer: 152*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukki when four letters picked without replacement from {i: 2, u: 1, o: 2, k: 2, z: 1, q: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2281 greater than -2159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 5*c + 30, 2*y - 12 = c. Let q = 10 - y. Suppose 6 = p + 2*z - 5, -37 = -q*p - z. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 11*b**2 - 5 - 10*b**2 + 12*b. Does 4 divide v(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -459*d**7\/70 - d**4\/12 + 185*d**3\/3 - d**2 + 107*d. Find the second derivative of c(a) wrt a.\nAnswer: -16524*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8915 is divided by 4456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47603979917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 23 = 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + 4*j**3 - 8*j**3 + 10*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*m + 227, 2*m + 4*o + 170 = -0*o. Let h = -44 - m. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 - 133. Suppose -4*b - w = 0, 6*j + 5663 = 9*j + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -1836 (c) 202 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**4\/24 - 5*v**3\/3 - 30*v**2. Let q be i(9). Is q\/((-3)\/(-12)) + 331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2268036*u**2 + 7530*u + 25\/4.\nAnswer: (3012*u + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5 + 4*2*(sqrt(396) + 0))*-2 + 5))**2.\nAnswer: 960*sqrt(11) + 101401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97709480?\nAnswer: 2, 5, 11, 222067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15144*z**2 + 23*z - 4.\nAnswer: 30288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(352) + sqrt(352))\/(sqrt(2) + (6*sqrt(242) - sqrt(242)) + sqrt(2) + sqrt(2)) + -1)**2 + -1.\nAnswer: -16*sqrt(11)\/29 + 704\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 2*r**2 + 0*r**3 + 0*r**6 + 0*r + 0*r**5 + 1\/6*r**4 + 0 + 1\/105*r**7. Find the second derivative of d(i) wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/2 - q**3 + 47*q**2\/2 - 66*q + 54 = 0. What is q?\nAnswer: -9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 1070458*j**4 - 3746634*j**3 + 4817114*j**2 - 2676178*j + 535236 = 0. What is j?\nAnswer: -267618, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 - 50 = 5*c + 5*j, -3*c + 8 = 4*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 1612 = 2*t + 1584, -5*t = -2*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**3\/3 - 2*t**2 - 2*t. Let q = 113 - 384. Let c = -268 - q. Determine j(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p + 1. Suppose 0 = -3*s - 3*n + 18, -2*s = -3*s + n - 4. Let k be w(s). Suppose 11*c - 60 = k*c. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 times 206582\nAnswer: -15287068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 292*m - 288.\nAnswer: -4*(m - 72)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 967752 and 720?\nAnswer: 9677520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108940697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 6*a = -307 - 233 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23544 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 5*w + w**5 + 2*w**5 + w**5 - 4*w**5 + (-w - 2*w + w)*(2*w**4 - 3*w**4 - w**4) - 14*w**5 - 49*w**5 + 34*w**5.\nAnswer: -25*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 17*d - 1044. Let i be w(25). Solve 5*b = 7*b - f + i, 0 = -b - 2*f + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071587 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:12 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Let f(s) be the second derivative of s**4\/12 + s**3\/2 + s**2 + 2*s. Let b(q) = -4*d(q) + 2*f(q). Is b(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391\/15 - 26. Let n(w) = w + 7. Let c be n(-7). Are c and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6 + 7*n**3 + 4*n**3 + 9*n + 5*n**2 + 2*n**2. Let h(o) = 5*o**3 + 3*o**2 + 4*o - 3. Suppose 24 - 9 = 5*z, 2*f = -5*z + 33. Calculate f*h(y) - 4*b(y).\nAnswer: y**3 - y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-156)\/(-65)*(-585)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.63 + -2.63. What is the closest to 1 in -0.4, q, -0.21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85*c**2 - 845 wrt c.\nAnswer: -170*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 12:47 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/5 - 54*m\/5 - 51\/5 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 75373343, 75373345, 75373347, 75373349, 75373351, 75373353?\n\"Answer: 2*h + 75373341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*w**3 - 2*f**3*w**2 + 24130*f**3*w - 33394*f**2*w**3 + 3*w**3 wrt w?\nAnswer: 6*f**3 - 200364*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 3. Let v be w(-2). Suppose 4*u + 4*l - 13 = -v, 0 = 3*u - 5*l - 22. Solve u = g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28561290 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64746*u + 23908?\nAnswer: 64746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5478)\/9 - (-16)\/(-12). Round a to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/186*(-11)\/(-66)*(-16)\/(-10).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (2 + 1 - 0). Let j be y\/6 + 129\/(-9). Let m = 15 + j. Solve -t - 3*x + 1 = m, 3*x + 4 = 4*t - 0*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*l + 960 + 6264 = 0 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/81 - 7440\/(-27) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = -28. Suppose -u - 5*n = 3 - w, 4*u - 4*n = -4. Suppose 369 = 5*a - k, 5*a + 0*a + k - 371 = u. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o = 234 - 78 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {y: 4, r: 1, e: 1, b: 1, s: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28c (base 16) in base 13?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58112\/(-76272)*7\/(-2)*(-1 - 18\/(-16))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -482 and 120.7.\nAnswer: -58177.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.022 - 12.522. Which is the closest to 4? (a) -2 (b) k (c) 1\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -541, 1, -0.6, -26, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -215743, -224140, -232523, -240886, -249223, -257528?\n\"Answer: v**3 + v**2 - 8407*v - 207338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - s - 32. Let a(v) = -12*v**2 - 4*v - 64. Let b(f) = -2*a(f) + 5*w(f). Let q be b(12). What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {k: 1, e: 1, d: 1, p: 2, o: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6937679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:51 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 23*h**3 - 6*h**2 - 3*h - 51. Let k(y) = -10*y**3 + 4*y**2 + 2*y + 24. Let z(g) = -7*k(g) - 3*n(g). What is z(11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141104.\nAnswer: 2, 3, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s. Let w(x) = 8162*x**2 - 154*x. Let v(y) = -160*y**2 + 3*y. Let f(o) = 154*v(o) + 3*w(o). Give n(f(t)).\nAnswer: -1078*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**5\/5 - 10*g**3\/3 - 3*g**2 + 1. Let y(r) be the second derivative of p(r). What is the derivative of y(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as 1497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -34*k + 2. What is the lowest common multiple of (6 + 0)*(-24)\/(-9) and u(-2)?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1107 - 1f87?\nAnswer: -308e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326671 and 362623.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.055 or 232108?\nAnswer: 232108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 + 96*t**4 - 660*t**3 + 968*t**2 = 0. Calculate t.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -24)\/((-1)\/(-4 + 5)). Let j = 59 + i. Sort j, -4, -2 in descending order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a decade?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c + 1)*(-6*c**2 + c**2 + 3*c**2) - c**3 - c**2 + c**2 + 2 + 2*c**3 - 2 + (-3*c**2 + 3*c**2 + 2*c**2)*(-10*c + 92*c - 14*c) - 2*c**3 - c**2 + c**2.\nAnswer: 133*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -564331299870?\nAnswer: 564331299870.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4075431.5 times 6\nAnswer: 24452589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = 4. Let i(c) = -6*c**d - 3*c**2 + 5*c**3 + 1 + 4*c**2. Suppose 6 = 5*x - 9. Let k(p) = -p**3 + p**2 - 1. Calculate x*k(h) + i(h).\nAnswer: 2*h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 51222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = 155. Suppose 0 = -3*m - a + 4, 5*a = -3*m - 4. Let u = m - x. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.015.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**6 + 5\/28*t**8 + 0 - 2*t - 1\/12*t**4 - 142*t**2 + 0*t**7 + 0*t**5 - 29\/6*t**3. Find the second derivative of w(o) wrt o.\nAnswer: 1200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5244 - -250468891?\nAnswer: 250468890.4756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-155 - (-183 - -130))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3181838 - 19049563\/6. Let x = -6892 + j. Find the common denominator of x and -43\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 6369906681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/30 + -97\/210. Let w = -0.3592 + 0.0592. Which is the third smallest value? (a) w (b) k (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + w + 20, -3*w - 6 = -7*o + 4*o. Let k = -0.03 - 0.07. Let f = 0.1 - k. Sort f, o, 4 in decreasing order.\nAnswer: 4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + 3*c**5\/20 - c**4\/24 - 2*c**3 - 5*c**2 + c. Calculate the remainder when y(7) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)\/((a**(-19\/5)*a)\/a*a) assuming a is positive.\nAnswer: a**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 3\/5, -1, 2\/1477, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d0ad (base 16) in base 3?\nAnswer: 2201021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10325 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 0. Is u < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/5 - 6153*c**3\/5 + 12303*c**2\/5 - 6151*c\/5 = 0. What is c?\nAnswer: 0, 1, 6151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*f**3 - 66*f**3 - 561*f**3.\nAnswer: -735*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-222)\/(-36) + -6). Let t(u) = -5*u + 3. Let b be t(-6). Let d be -4 + (-2750042)\/(-11) - y\/b. Round d to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1626723 divided by -28539.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 102, 304, 684, 1302?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.062842 + 0.00466. Round b to four dps.\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 10. Let c be ((-28)\/(-10))\/(24\/60). What is the least common multiple of 8\/(-28) + (-2 - (-142)\/c) and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.1 and -0.1?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0507 - 0.043. Round z to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -1792, -2702, -3616, -4534, -5456, -6382?\nAnswer: -7312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - -0.18. What is the nearest to b in -4, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 12 - 17*s + 7 + 0*s**2 + 4 to the form w*s**2 + m + z*s and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerrrrrrrreerrrr. What is prob of sequence ere?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 9.\nAnswer: -85\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2. Let f be d(-1). Let b = f + -6. Which is smaller: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*v**2 - 210*v wrt v?\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -62. Let q = -43 - r. Calculate the remainder when 35 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3279*a - 18*a**3 + 6711*a - 3432*a.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/5 + 6*c**4\/5 - 68*c**3\/5 - 76*c**2\/5 + 66*c\/5 + 14 = 0?\nAnswer: -7, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130702 - 13\/((-13)\/(-2)). Round y to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60775 and 364650.\nAnswer: 364650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 545.1 - 535.2186. What is h rounded to one dp?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:58 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.179, -0.1, 22, -0.3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:27 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4957, 4753, 4561, 4387, 4237, 4117, 4033?\nAnswer: 3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20261, -42579, -64919, -87287, -109689?\nAnswer: -132131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50626 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629726 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 179*p - 726, -2*r + 868*p + 28 = 870*p for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -818, -2821, -5982, -10157, -15202, -20973, -27326?\n\"Answer: 24*l**3 - 723*l**2 - 2*l - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 16 = 5*d - 3, 17 = t + 4*d. Let f be 30\/(-4)*t\/(-135)*-10. Sort -2, f, 4 in decreasing order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34551552 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5 - z**4\/4 + 3*z**2\/2 - 178*z + 2. Let y(r) = 19*r**3 + 4*r**2 - 4. Calculate 4*a(l) + 3*y(l).\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31122 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 759104 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91158608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61490 divided by -946.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 f when four letters picked without replacement from lfffllfocoffclfffcf?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 6. Let q be w(2). Let x(k) = 23*k - q*k - 10*k. Let h(p) = 5*p. Give x(h(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-125)\/75)\/(70\/(-18)). Let l(i) = i**2 + 2*i + 2. Let j be l(-4). Let t = j + -15. Sort 5, v, t, 4 in decreasing order.\nAnswer: 5, 4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -17181.\nAnswer: 8590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8766 = -58*s + 2718. What is the smallest common multiple of 144 and s?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 64. Suppose -17*s = -u*s - 2455. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196261*n**3 - 321920*n?\nAnswer: -1177566*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 1. Let k be h(-4). Let s = 8 + k. Put 4\/5, s, -2 in increasing order.\nAnswer: -2, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16, -16, -10, 8, 44, 104, 194, 320?\n\"Answer: x**3 - 3*x**2 + 2*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -156, -121, -62, 27, 152, 319, 534?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1ab (base 12) to base 14\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8698618 or -8698609?\nAnswer: -8698609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 329 + 449 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32772 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 895 = -897. What is the common denominator of (-2)\/o*(-222)\/1 and -89\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*(4 - (-160)\/(-35))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115535)\/1501955)\/(21*2\/(-26))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3244*p**3 - 1135 wrt p.\nAnswer: 9732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6771 - -329?\nAnswer: -6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-1)\/3). Let q(d) = d + 0*d + t*d**2 + 9 + 0*d**2 - 3*d**2. What are the prime factors of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t. Let i(g) = 3*g + 52812. Calculate a(i(o)).\nAnswer: 63*o + 1109052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -6\/11, 3, -50 in increasing order.\nAnswer: -50, -6\/11, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12.3. Let v = r - -0.6998. What is v rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25.6375 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = -1. Let o = -6 - -5. Let u = o - -0.7. What is the smallest value in -1, m, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7616048.\nAnswer: 2, 11, 109, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844217?\nAnswer: 11, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*x**3 + 0*x + 0 - 10\/7*x**2 + 2\/7*x**4.\nAnswer: 2*x**2*(x - 1)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -1021?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 112 + 104 = 3*k, 29*k + 1581 = t + 1479 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**2 + 50*n + 3*n**2 - 692*n - 27*n + 3*n**2 in the form y + u*n**2 + t*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-15))\/(7\/84*-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 11) + 10 + -11 + 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4) + sqrt(2) + sqrt(24)\/sqrt(768) + 5.\nAnswer: 5 + 49*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887818009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 p, and 1 r when four letters picked without replacement from prccpvcvvvprjvvkvp?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(847)*-2)**2 - (3 + sqrt(847))*-4.\nAnswer: 44*sqrt(7) + 20340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**3 + 6*n**2 - 3*n - 22. Let c(u) = -13*u**3 + 16*u**2 - 8*u - 65. Give -3*c(v) + 8*i(v).\nAnswer: -v**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, 8, -3521?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7834.\nAnswer: 2, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -19 - -9 - (12 - (19 + 11 + -21)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*q - 3*q**2 - 647*q - 173*q + 1473*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 f, and 1 w when four letters picked without replacement from {n: 2, i: 4, r: 2, w: 4, f: 2}?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 - l. Suppose 2*q + 18 = 20. What is v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31952 + 47406. What are the prime factors of h?\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172 - 553?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8. Calculate the greatest common divisor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 352 in increasing order.\nAnswer: -4, 0, 5, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321966096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 60 + 40. Let u = 52 - f. Is 25 + (3 - 3 - u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548959 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11059417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8809 = -2*k - 14071. Round k to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25727357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 27. Suppose f = -5*s, 4*u + s - 4*s = -22. Let o(h) = 5*h**2 + 8*h - 2. Is o(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202915, 202911, 202905, 202897?\nAnswer: 202887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/25 + 6\/10. Let q = 13\/1127 + -335\/1127. Which is the closest to 7\/4? (a) 4 (b) q (c) v (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 1. Let m(f) = -21*f + 28. Let b(o) = 6*j(o) + m(o). What is b(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(48\/(-9)) - (-22)\/8. Suppose 2*v - 9 = 3*l, -3*v = -r*v + l - 2. What is the third derivative of -25*o**2 - 169*o + 3*o**2 + 169*o + 30*o**v wrt o?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 6*w**2 + 6*w. Let h be c(5). Suppose 5*d + 0*p = -3*p - 19, 30 = -4*d + h*p. Let n(s) = s**2 + s - 2. Calculate n(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8608 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2. Suppose 0 = 2*l + p + 6. Let b = 0.06 + -0.26. What is the biggest value in -2\/9, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.2, 4, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -53, 7, 248, -0.4, -2 in ascending order.\nAnswer: -53, -2, -0.4, -3\/8, 7, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -317747 > -317746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m + 3. Let i(a) = 95*a - 35. Let j be 5*((-219)\/15 + (-60)\/(-100)). Give j*t(n) - 6*i(n).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90.8 - -80.8. What is the closest to p in 2\/9, 3, 2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -330, -3, 9, -4 in descending order.\nAnswer: 9, -3, -4, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f**2 - 5*f**2 - f**2 - 4*f**2 to k + g*f + l*f**2 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 7) in base 11?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzqcqww. Give prob of sequence qq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-21728706\nAnswer: 10864353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*d = 22, 4*x - 61 = 5*d - 17. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 100, 281, 608, 1129, 1892, 2945, 4336?\nAnswer: 6113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/42 - (-6)\/14. Suppose c = 3*y - 56 + 26. Let w be (-8)\/(-40) - (-148)\/y. Solve 3*b - w = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-8 - (8 - 25))) + (-13 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-3)\/(-9) - (-4)\/7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/13)*t)\/(t*t**(-7)\/t*t))\/((t\/(t\/(t**2\/t*t*t)))\/(t*t\/(t\/(t**(-3)*t)))) assuming t is positive.\nAnswer: t**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29116?\nAnswer: 2, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*u + 4192*u**2 + 289*u - 266*u in the form m*u + s + b*u**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 794477 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3422, -13691, -30808, -54773?\n\"Answer: -3424*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215207331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-1.69.\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 5. Let c be j(-3). Suppose -15 = -3*u, 5*u + 59 - c = 4*k. Let r(y) = 3*y + 13. List the prime factors of r(k).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -39) + (0 + 0 - (-171 + 176))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09742 to 3 dps.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440352 divided by 2.\nAnswer: -220176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -1. Let p be (h\/12)\/(5\/(-4)). Let q = 3 + -7. Sort q, -0.2, p in decreasing order.\nAnswer: p, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, -2, -1, -3 in increasing order.\nAnswer: -9, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 15*l + 3. Let z be q(-5). Let g be (-23)\/(-46)*2*7. What is the greatest common factor of g and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11429 + 45*c - 11429 + (2 + 0 - 1)*(4*c - c - c) - 1 + 1 + c + c - 2*c + 2*c)*(-5*c + 2*c + c).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*g - 575, 3*g + 244 = 3*w - 182. Suppose 2*x = -2*x + 60. What is the greatest common factor of w and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 280609 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96506.\nAnswer: 2, 73, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0462 and 5793879681.\nAnswer: 5793879680.9538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 8. Let c = 24 - j. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -10. Let c(u) = u + 3. Let i be c(-3). Let p(q) = 2*q**2 - 8*q - 1. Let s be p(6). Solve -6 = -i*o + 2*o + h*z, 5*z + s = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 137 = -1283. Let a be o\/18 - 16\/(-72). Let t = 12 - 7. Solve t*k + 4 = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 8*w**2 - 10*w + 74. Calculate s(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 18*y - 5*y + 39, -2 - 12 = -648*q + 649*q + 4*y - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + 25. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 64 = -8*b. What is the greatest common factor of b and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/14, 4\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**2 + 0 - 7*i - 5\/21*i**7 + 0*i**4 + 0*i**6 + 0*i**5 - 1\/6*i**3. Find the second derivative of f(j) wrt j.\nAnswer: -200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(3024) + sqrt(3024) - sqrt(21))\/sqrt(3))**2 + 0 + (sqrt(7) - (sqrt(343) + 2)) + -5.\nAnswer: -6*sqrt(7) + 15456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 6269*f**3*n**2 + 2*f**2*n + 2738*f*n**2 wrt f.\nAnswer: -240*f**3 - 37614*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 20 = -3*p + 8, -2*u - 3*p - 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*w = 36 - 6, -v + 147 = 2*w + 148 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.4570399 * -0.06\nAnswer: -0.207422394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3103 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - 0.7. Let x = u + 0.9699754. Round x to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -41, -43?\n\"Answer: -2*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -40*((-11739)\/585 - -20). Suppose t*k**2 - 8\/3 - 2\/3*k + 2\/3*k**3 = 0. Calculate k.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsppsss. Give prob of sequence sp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (-2054)\/234)\/(8\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**3 - 55*f + 55*f + 2 + 1.\nAnswer: -15*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 3*t + 9*t)*(7 - 7 + 5*t) as a*t**2 + k + j*t and give a.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let i(u) = u. Determine i(k(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 0 - -2) + (-4 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 147*f + 17218. What is y(-112)?\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12937498.\nAnswer: 2, 7, 73, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/((-110)\/1))\/11. Let a = -449\/5445 - j. Let f = -686\/6039 - a. Is 1 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5079272 is divided by 1384.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111 + -3 - (-28 + (5 - -12 - 2) - -6)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - (-24)\/(-36). Let x be (117\/18 - 7)*(-7 + f). Solve 0 = -j, x*j + 1 = u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4846? (a) 3\/7 (b) 15\/11 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -286665.\nAnswer: 1\/286665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1088)*-2 + 0 + -2 + (sqrt(1088)*-3)**2 + -2.\nAnswer: -16*sqrt(17) + 9788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -148128, -148129, -148130, -148131, -148132, -148133?\n\"Answer: -f - 148127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z**5\/10 - 130873*z**4\/10 + 712311*z**3\/10 - 683123*z**2\/10 - 100302*z + 261648\/5 = 0. Calculate z.\nAnswer: -1, 4\/9, 3, 14536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ssnaanasaaansassa.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -133*d**2 + 9844*d - 141. What is v(74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*t = -264*t + 36 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 14*b**2 - 24*b - 5. Calculate w(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - -0.63. Let g = -0.9 + w. Let r = -56\/5 + 97\/10. Which is the closest to -1\/4? (a) r (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002953 to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4 + 15 - 30 - n**2 + 16*n. Let t(y) = -y + 1. Let a(u) = -6*t(u) - x(u). Determine a(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157 and -0.067.\nAnswer: 10.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 431621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/6) - -42. Let l = -22 + v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 + 4. Let l be ((-1 - 1) + 1)\/r. Let o be (1\/10)\/(2\/8). Is l at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 - 5*d**3 + d - 29 wrt d.\nAnswer: 24*d**2 - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 10*i - j - 80, 0 = -5*i + 9*j + 104. What is the smallest common multiple of i and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92348 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1472)\/(-36) - 4\/(-36). Let j = n - 79\/2. Find t, given that 12*t - 24 - j*t**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7694 is divided by 107?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -84 + 27. Suppose 13 + 23 = 6*m. Solve -3*f + m*h - n = h, -5*f + 4*h - 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-126)\/129) - ((-722)\/(-57) + -14)\/2.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*z)*(94 + 164 + 38 + 108).\nAnswer: 808*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0723 and -1?\nAnswer: 0.0723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001017647836 to 6 decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 o, and 1 a when four letters picked without replacement from hhobybhshbas?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 14*g**2 - 13*g + 7. Is k(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85356*m**3*x**3 - 522*m**3*x - 6611*m**2*x**3 - 14*m*x**3 + m + x**3 + x wrt m.\nAnswer: -512136*x**3 - 3132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 = -17. Calculate the remainder when 25 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*l = 9, -5*i - 8*l + 7 = -5*l. Let r be 4\/3 - (-2)\/(-15). Factor 4\/5*q + 2\/5*q**i - r.\nAnswer: 2*(q - 1)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3604 less than 2?\nAnswer: -1.3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -132 + 255 + k - 123. Let h(n) = -2*n**2 - 75. Calculate h(c(y)).\nAnswer: -2*y**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59754.302159 + 60006.0012. Let c = p + 0.010959. Let o = c - 254. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110, 697, 2242, 5225, 10126, 17425, 27602?\n\"Answer: 80*k**3 - k**2 + 30*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 52*m - 16*m - 150*m - 278*m.\nAnswer: -392*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:06 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101203 (base 4) to base 8.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*i + 136*i = -16*i - 175*i - 28923 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 - -335. What is the remainder when 149 is divided by j\/(-14) + (-1720)\/(-70)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by -98827.\nAnswer: -190\/98827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31086 and 76439?\nAnswer: 216016614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-5)*d**3*(d*(d**1\/d*d)\/d*d*d)**(7\/2))**(2\/21) assuming d is positive.\nAnswer: d**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 + 4\/(-18). Suppose r - 4*r = p. Suppose 0 = -4*a - r*a + 508. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/155 and 93\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 534 - 264. Let q = 269.999877 - j. Round q to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 minus -36374.762779?\nAnswer: 36404.762779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -2b9985?\nAnswer: -2b9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 31. Let w(i) = i. Let r(t) = -o(t) - 2*w(t). Let g be r(-5). Solve g*j = -2*p + 8, p + 2*j = -3*j + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -37*x**6\/120 - x**4\/8 + 6673*x**3\/6 - x**2 + 1002*x - 2. Differentiate s(z) wrt z.\nAnswer: -111*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 6*q + 2. Let o(p) = -5*p**2 + 11*p + 4. Calculate 6*o(t) - 11*r(t).\nAnswer: -8*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29928462 minus -12314?\nAnswer: 12314.29928462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - (23 - (10 + 5 + -13))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092859807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 924 times -0.5\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 14*a + 4*a + 15*a**2 + 18 + 12*a. Let l be 18*(-2)\/(2*-1). Let t(y) = -y**2 - 1. Let b(r) = l*t(r) + q(r). Solve b(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1416506 and -229\/19110.\nAnswer: 148733130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -4. Let s = 2.2 + d. Let q = -2592\/7 - -370. Which is the second biggest value? (a) q (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 4, -2*l - 101*f - 15 = -98*f for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1025+187\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w - 23*w**2 - 3 + 26*w**2 + 6*w + 126 to d + g*w + t*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.79572 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 91. Let p = 29 + m. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in -2, 1159, -2\/3, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-45)\/4)\/(640\/(-3072)). Solve -57*t + c*t - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 1, t: 1, d: 1, g: 1, k: 1}. Give prob of picking 1 v and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 18 = -2*o - 3*i, 4*o + 5*i - 37 = 0. Suppose 2*g - 12 = -2*g. Let a(t) = 6 - 2 - 2*t**2 + 0 + 0*t + g*t. Determine a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10699*z - 10709*z + 21355*z - 2 + 2.\nAnswer: -53*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from {a: 4, q: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let t(d) = -4*d**2 - 5*d. What is s(t(n))?\nAnswer: -8*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.006594 meters in kilometers?\nAnswer: 0.005006594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/325)\/(4\/30*3)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -23*p - 2*v - 4, 4*p - 2 = v. Let f(k) be the second derivative of 15*k - 1\/4*k**4 + 0*k**2 + p + 0*k**3. Let x(y) = 10*y**2. Give f(x(s)).\nAnswer: -300*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - 2*w**2 + 0*w**2)*(-1 - 1 + 1)*(-22*w - 16*w + 3 - 2) to the form i*w + m*w**2 + f*w**3 + x and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, z: 1, w: 1, e: 1}. What is prob of picking 1 z and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkykkkkkykkkykkykk. What is prob of sequence kyyy?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -32392*j**3 + 2 + 9*j - j**2 + 32402*j**3 - 1 as u*j + g + d*j**2 + y*j**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -36*i**2 + 1. Let y(a) = 5*a + 7192. Determine y(u(r)).\nAnswer: -180*r**2 + 7197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -188?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655818 is divided by 327907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 44705748.\nAnswer: -1\/11176437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(1\/3)\/p)\/p)\/(p*p**(-1\/26)\/p))\/(p*p\/(p*p**24*p)*p)**0 assuming p is positive.\nAnswer: p**(-49\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 2061*u + 6174.\nAnswer: (u + 3)*(u + 2058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) 0.2 (c) 6\/11 (d) 2\/6029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Let s be r(1). Let n be s + 4 - (-10)\/(-4). What is the nearest to n in 3, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -11. Suppose h = -3*s - 9. What is the second smallest value in -2\/9, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32134, 64385, 96754, 129235, 161822?\nAnswer: 194509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 4 - 7)*(7*q + 11 - 11) - 2*q - 2*q + q to the form n + y*q and give y.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + -18 - 12\/(-2). Which is the smallest value? (a) -3 (b) -0.5 (c) y (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44035000 rounded to the nearest 100000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.8 + 24. Sort 2, t, -1\/4, 4 in decreasing order.\nAnswer: 4, 2, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 92 = k, 0*z + 4*z - 2*k = 368. Let r = -39 + z. Let l = -33 + r. Calculate the smallest common multiple of 8 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 - 25*z**3 - 31*z**2 - 23*z - 8. Let x(y) = 12*y**3 + 16*y**2 + 12*y + 4. Let w(m) = 2*t(m) + 5*x(m). Factor w(j).\nAnswer: 2*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 3*z**4 - z**3 + 2*z**3 - 7*z**4 + 4 in the form v*z**4 + t*z + k*z**2 + b*z**3 + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 3*u - 3*n, 5*n = 3*u - 9. Let m be 4\/8 + u\/24*-2. Factor 2\/3*a + 0 + m*a**4 + 2*a**2 + 2*a**3.\nAnswer: 2*a*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t\/(t\/(t**4\/t))*t*t))\/t*t\/(t**(-10)*t)*(t\/t**5)\/(t\/(t*t**15\/t)))**(18\/13) assuming t is positive.\nAnswer: t**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2 = -8*o + 6*o, 3*y - 4*o + 14 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7842 = -44*a - 2430. Calculate the remainder when a is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*j + 4*j. Suppose 2*s = -j*k + 10, -3*k = -6*k + 5*s - 9. Suppose -k*r - 60 = -6*r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 925432.2l?\nAnswer: 925432200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -19*l**2 - 37*l - 5. Let m(s) = -16*s**2 - 36*s - 4. Let x(b) = -5*m(b) + 4*o(b). Factor x(y).\nAnswer: 4*y*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*b + 268 + 302 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16692*k + 16750*k + 2146 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.127 + 0.158. Let p = 2.031 - i. Which is the second biggest value? (a) 2\/5 (b) -1\/4 (c) 10 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20736\/23 or -901?\nAnswer: -20736\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -3ab0484?\nAnswer: -3ab049a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*225\/(-3). Let m be (-3)\/b*4\/3. Do m and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/r*r)**(-38)\/(((r*r\/(r**3*r)*r*r)\/r*r*r)\/r)**(-43) assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 1, z: 1, s: 2, m: 4, b: 1, r: 6}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 128, -0.1, 15\/21416, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1842\/9)\/((-8)\/(-12)). Let g(f) = -t*f + 5 + 151*f + 155*f. What is g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 16386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-114)\/(-3648)*(-48)\/8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-4)\/234)\/((-6)\/18).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y - 1. Let f be 45\/2*6\/15. Suppose -7*v + f*v = 3*c - 14, -2*c + 3*v = -11. Give n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-297)*11*-4*(-3)\/(-4)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414331888 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*b)*(-62*b**3 - 57*b**3 + 167*b**3) - 7*b + 7*b - 2*b**4 to the form d*b**2 + q*b**4 + m + v*b + z*b**3 and give q.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9309841.\nAnswer: 29, 251, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 8:06 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 298962?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 217*o + 229 = -215*o, -r = -2*o - 63. Calculate the remainder when r is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 4*q**2 - 5*q. Let u be z(5). Suppose 36 = 4*k - u*k + 4*x, 2*x = 4*k - 66. Calculate the highest common factor of 126 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 449 + -445. Sort 28, -5, w, 0 in descending order.\nAnswer: 28, w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -541*n + 2734. Calculate a(7).\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16970\/33 or -515?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.5 + 77.4. Let u = 0.9 - l. Let w = -41 - u. Sort -0.4, w, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593293200 divided by 12954\nAnswer: -45800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -19. Suppose -m + 3*f + v = 0, 7 = -4*m - f + 19. Differentiate -4*t**m - t**2 + 4 + t**2 + 3*t**4 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104956 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 2. Let n = 1 - 1. Suppose n = r + r + 10. Calculate o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201294577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - o**2 + o - 2. Let g(b) = -10*b**3 + 143*b**2 - 4*b + 8. What is 4*f(p) + g(p)?\nAnswer: -2*p**3 + 139*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50066545 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + 17?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 19*n**6\/120 + n**4 - 23*n**2. Find the second derivative of b(p) wrt p.\nAnswer: 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-25))\/((-11120)\/(-1668))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 4222668.\nAnswer: 21113340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 90034252?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(2 - (-9 + 2)). Suppose -11*z + 14*z = w*z. Let c be 1 - (-2 - (-1 + 0)). Solve k + c*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -37*l + 77682. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7147704961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/11)*z)**4\/(z\/(z**(-1\/4)\/z))**36)**(2\/3) assuming z is positive.\nAnswer: z**(-1598\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 + r**4\/12 - 8*r**2. Let x be y(-4). Let d(z) = z + 6*z + 0*z + x*z. Let o(l) = l. Determine d(o(a)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3*j + 37. Let b be w(-8). Let t be (b\/2)\/((-36)\/96). Solve 4 = 3*p - r - 3, 2*p + t*r = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2562049 * 15\nAnswer: 38430735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.651 - -1.451. Which is the third smallest value? (a) -0.5 (b) 5 (c) -0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*u**3 - 7973*i*u**2 - 12*i*u + 6*u**3 + u**2 - 9296*u + 10 with respect to i.\nAnswer: u**3 - 7973*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238060*d**3 + 593410*d.\nAnswer: 1428360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -21535?\nAnswer: 2152c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 l, and 1 d when four letters picked without replacement from ldlkkkllln.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/625431 - -6966050471\/4378017. Which is greater: 1590 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16643)\/(-88))\/89)\/((-2)\/(-16))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:10 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 9*l**2 - 6*l - 3. Give n(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-26 - (-3 + -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 121. Determine r(-22).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-1 - 3) + (-3 - -11))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) 0.5 (c) -438 (d) 0.3 (e) 1\/6 (f) 338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*l - 5*f + 82, -3*l + f = -45. Let i(u) = -5*u**3 + 17*u**2 + 7*u + 25. Let h be i(l). Is 0\/1 - 2*h\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 4*o**2 - 6*o + 1. Let i be m(5). Let a be 0\/(i - (-3 - -1)). Solve 3*t + a = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5275 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 - 67. Suppose 16*y = 11*y + u. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 + 130*l**4 + 700*l**3 - 1960*l**2.\nAnswer: 5*l**2*(l - 2)*(l + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {c: 1, l: 4, r: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101882262109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.47 and 18.\nAnswer: -188.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23411, 46904, 70439, 94010, 117611, 141236, 164879, 188534?\nAnswer: 212195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f**2 - 7*f. Let c(j) = -23*j**2 - 56*j. Let t(o) = 8*o**2 + 20*o. Let r(m) = -4*c(m) - 11*t(m). Calculate -5*r(a) - 3*v(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49e - 1?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 94*l - 2. Let n be a(1). Let u = 3845 - 3837. What is the greatest common divisor of n and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 39, 26, -3, -54, -133?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 102. Suppose -8*g = h*g - 30. Solve 0 = z - 7 + g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-22) - (-8)\/(-44). Suppose 5*n = 3*u, 3*n = -0*u - t*u. Let a = u - 1. Let l(w) = 2*w**3 + w**2 - w - 1. Calculate l(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27945 + 28092. Calculate the highest common divisor of 78 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 419, 417, 417, 419, 423?\n\"Answer: w**2 - 5*w + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4\/(u\/(u**(2\/3)*u)))\/(u**(-1\/4)\/(u*u**3)))\/((u\/((u\/u**(1\/5))\/u))**(-34))**(-34) assuming u is positive.\nAnswer: u**(-82697\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -88*k + 548. Let p be l(6). Solve -3*q + p = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956859603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -560 or -12879\/23?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521, 638, 755, 872, 989, 1106?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-4)\/(-288)*8)\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 25, 0 = h - 0*j + j + 2. Suppose -36 = -h*c - 5*o, 0 = c + 2*o - 7 - 5. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165541 is divided by 1534?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.118 (b) -5\/3 (c) 301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 33696765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 51*h = -53*h + 4*h + z + 96, z = 5*h - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1031.\nAnswer: -5155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 21*g**2 - 18. Let x(v) = -v**2 + 1. Let f(z) = -c(z) - 18*x(z). Let k(l) be the first derivative of -5*l**2 + 2. What is f(k(y))?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3307312 + 150?\nAnswer: -3307142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 1521 + 0*b - 1507. What is z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) 2\/3 (c) -1.5 (d) -2 (e) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/1836 - 7399\/9180. What is the smallest value in -143, h, 17?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -798336*d**3 + 17*d**2 + 148651977 wrt d.\nAnswer: -2395008*d**2 + 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 6*y**2 - 1 + 9*y**2 + (0*y - 5*y + y)*(0*y - 3*y + 5*y).\nAnswer: -5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**3\/6 + 3*t**2 - 2*t. Suppose -4*u - 3*g = -33, -2*g = u - 0*g - 12. List the prime factors of o(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**33\/o**(1\/13))**(1\/3))**(-2\/47) assuming o is positive.\nAnswer: o**(-856\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758206 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -350177354?\nAnswer: 350177343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14906641*t**5 + 2*t**2 - 4289935*t - 1?\nAnswer: 894398460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 85147, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 4*j**3 - 2*j**2 - 2*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111001001001010 + 101?\nAnswer: -10101111001001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - 3*d**2 + 3*d**2)*(-1 + 1 + d) + 2*d**5 + 2*d**4 - 2*d**4 + 19*d + 214*d**5 - 3*d - 213*d**5.\nAnswer: 4*d**5 + 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 7*a**2 + 19*a + 71. What is h(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 5)*(0 + 0 - 2*p**3) - p**3 - 2*p**3 + 2*p**3)*(p + 0*p + p + (-3 - 3*p + 3)*(3 - 5 + 0)).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31565 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 391070928 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 26 = -4*z, -3*o = -4*z - 25 + 3. Let m(s) = -3*s**2 - 4 + o*s**2 + 12*s - 24*s + 8*s. Let h = -94 + 90. Calculate m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p**(1\/5)*p)\/p)\/p)*p**(-18)*p**(-23)\/p*p*p**(-19) assuming p is positive.\nAnswer: p**(-291\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 0, 3, -2 in ascending order.\nAnswer: -4, -2, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (124*b + 2 - 104*b - 4)*(2 - 4 + 3)*(9*b - 3*b + 4*b) + 2*b**2 + 3*b - 3*b in the form l + p*b**2 + v*b and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/39)*d\/(d*d*d**(-4\/3)))\/((((d*((d*d**(-1\/4)*d)\/d)\/d*d)\/d)\/d)\/(d*d**12)) assuming d is positive.\nAnswer: d**(2111\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15149343898.7 plus 4?\nAnswer: 15149343902.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -57*m - 54. List the prime factors of v(-27).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 3*g**2 - 3670*g + 3664*g - 2)*(0*g - 2*g + 3*g)*(g**2 + 0*g**2 + g**2).\nAnswer: 4*g**5 - 12*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271952 divided by -8.\nAnswer: -33994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940133.1 centuries to decades.\nAnswer: 9401331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21 = -4*z, -3 = -3*z - 0*z - 4*k. Let a be ((-119)\/35 - z)\/(2\/10). Let h be (a*(-1 - -3))\/(-4). Put -3, 0, h, 5 in ascending order.\nAnswer: -3, 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6511 - -6453. What is the third smallest value in 15, 0, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/9 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 30*z**3 + 3*z**2 + 3*z - 1. Let m be q(3). Let f(l) = -73*l**3 - 4*l**2 - 24*l - 22. Let o be f(-2). Let u = m - o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q. Suppose -112 = 7*n - 15*n. Let l(r) = 17*r - 31*r + 9*r + n*r. Determine c(l(b)).\nAnswer: 135*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 7 - -4 - (54 - 46).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = j, s = 3*j + 5*s + 46. Let q be (j\/(-1))\/((-20)\/(-850)). Suppose 5*f + 3*g - q = 0, g - 170 = -2*f + 3*g. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*n = -457 + 1913, 4*m + 5*n + 1455 = 0. Let d = 523 + m. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000066324 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8125163 divided by -3\nAnswer: 8125163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379621?\nAnswer: 11, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5271894 - 2635945 - 2635949 + 2*f - 4*f - 8*f**3.\nAnswer: -8*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 6*f - 2*f + 6*f - f**3 to k*f**3 + c*f**2 + b + d*f and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {c: 2, f: 2, d: 5}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*m = 2*m - 6, -m + 18 = 4*q. Let w be (-3)\/2*q\/(-3). Solve d - 3*h - 6 = 3*d, -4*d + h = -w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10632349 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**28\/(g**0)**1 assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41728120 by -298058.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4487895 and 94145?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113021 + 10?\nAnswer: 113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13526137 (base 8) to base 12\nAnswer: 1036167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10177.00033783 - 10177. Round z to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214 times 5136.2\nAnswer: -1099146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 856.31.\nAnswer: 3425.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 30. Solve -11 - n = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) + sqrt(128) + 2))**2 + -3.\nAnswer: 64*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35231.2 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63597.\nAnswer: 3, 17, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25102, 50158, 75214?\n\"Answer: 25056*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.4, 0.1, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1794816 is divided by 358775?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*s = 0, 0 = 4*v - s - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 1) + (-2 - -9) + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -703*d**2 + 927*d - 2?\nAnswer: -1406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1179*u - 2356. Let j be q(2). Solve -4*w = 16, 0 = -z + 6*w - j*w + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13 + 0 - 1 + 38*g + 2. Let h(z) = -z**3 + 11*z**2 + 12*z + 12. Let a be h(12). Let j be u(a). What is j rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26165673 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/108 and 11\/(-96)*(-228)\/342?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 4. Let v be k(9). Suppose 2*f + 2*j - 164 = 7*j, -j = -v*f + 433. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1911 (base 10) to base 13\nAnswer: b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195 - 226*v + 100 + 95 to y + m*v and give m.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4063813 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(-12*190\/1995)\/(558\/14)\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 7*t - 10. Let u be l(-5). Solve u = -3*v - 5 + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11011110111000011?\nAnswer: -11011110111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 69, -0.03, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 753413496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1499 equal to -1500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 71734823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8196\/4781*7*(-3)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 greater than or equal to 2010\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81097*a + 2*a**2 - 81088*a + 162185*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 426943 divided by 1049.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81266, -81264, -81262?\nAnswer: -81260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4549663t to micrograms.\nAnswer: 454966300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*(-6)\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2)\/(-4 + 2). Sort -4\/7, r, -2 in descending order.\nAnswer: r, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**3 - 24*q**2 - q. Let i be t(-4). Suppose -i*l + 85208 = 4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.297 rounded to 1 dp?\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*p - 252 = 204*p. Let d be p\/9 - (-78)\/18. Suppose 1\/2*z**d + 1\/2*z + 0 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (8 + 16 + (-8 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b + 37*b = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9784 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -5b8?\nAnswer: 5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -118.6 and -157.\nAnswer: 18620.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q**3 - q)*(2400*q + 1479*q - 1575*q + 1639*q).\nAnswer: -3943*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*g = 2180 + 4227 - 1297 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/323 + -344\/2261. Let y = 664\/5 + -132. Let v(x) = -x + 2. Let u be v(0). Which is the second smallest value? (a) y (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 7188*z**2 - 8611224*z + 3438748784.\nAnswer: -2*(z - 1198)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 + 6*h**2 - 11*h + 6. Let u(i) = -i**3 - 5 + 4 + 11*i - 12*i + 2*i - i**2. Calculate -m(p) - 6*u(p).\nAnswer: 2*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22.02+744645720\nAnswer: 744645742.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17 = -29. Let i = y - -16. Solve 4*p = -p + i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 182*q**2 - 179*q - 254. Calculate the lowest common multiple of 4320 and p(181).\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:30 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6.8. Put -3, m, -2 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -14. Let g be 2\/p - -1*1. Suppose g = -2*i + 1. Let b(z) = 14*z - 10. Let o(x) = x - 1. What is i*b(u) + 12*o(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(153)*-1 + (sqrt(153) + 1*(sqrt(153) - (sqrt(153) + sqrt(153)*-3)) + sqrt(153) - sqrt(153)))\/(2*(sqrt(486)\/sqrt(6) - sqrt(729)*-1)))**2.\nAnswer: 153\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 38*t - 3317. Calculate r(92).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 - 5 + 11*k**2 in the form p*k + y + m*k**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34247693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f - f + 3*f)*(-f**3 - 1 - 10*f**3 - 6) to the form z + a*f**2 + i*f + x*f**3 + q*f**4 and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-5) - -2) + -2. Suppose 4*u = -h + 22, -3*u = -4*h + o*h. Suppose h*b + 8 = 92. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 2, -20.915?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8095 = 4*w + 2*q - 6355, 5*w + 4*q = 18070. Suppose 35*s = 30*s + w. Is 47 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0129831312 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64\/(-16))\/((-4)\/626). Let u = w + -577. What is the remainder when u is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14456, -13908, -12992, -11702, -10032, -7976?\nAnswer: -5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h - 106. What is o(-22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1544*r - 1545*r + 12 = -4*j, -3*r = -7*r + j + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(17) + -3 + 0 + 4)**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1935, -1933, -1931, -1929?\n\"Answer: 2*i - 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 6*l = -105 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2181 = 5*y, -5*v - 12 = -2*v. What are the prime factors of y?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:37 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19*i + 136. What is b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93462 is divided by 1948.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 52 = 4*l, -4*w - 23 = 2*l - 29. Suppose -1205400000 = -l*k + 25*k. Round k to the nearest one million.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-112)*4*-8. Let t(q) = 165*q + 146. What are the prime factors of t(m)?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -7. Suppose 2*l + b = 41. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/12)\/(4\/(-24)). Suppose -4*k = 3*b + 3, -3*k - 2 = 2*b - 8*k. Let h be ((-1)\/g)\/(b\/28). Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/3 + 7*u**2\/2 - 5*u + 4. Let q be r(-7). Let w be (80\/q)\/(2\/(-4)). Solve 4*m = 3*a + 3, 5*a = -4*m + a - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k. Let p(n) = 2*n**2 + 40*n - 23. What is w(p(q))?\nAnswer: 4*q**2 + 80*q - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*s - 10, 4*s + 4*w - 1004144 + 1004104 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 4:01 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1264 + -2578. Let w = h - -1314.000541. What is w rounded to 5 dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:32 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 76102.29 years?\nAnswer: 7610.229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((135\/75)\/((-1)\/5) + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1464 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 478576440 divided by -2658758\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 6990248*g - 12215891775376.\nAnswer: -(g - 3495124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3183 and -321.\nAnswer: -1021743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2\/23, -0.09, -2, 54, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240170000 rounded to the nearest 1000000?\nAnswer: 240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 21 - (6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 376\/3. Let l = 1.54 - 1.44. What is the closest to l in -0.2, -5, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6, -5*b - 1170 = -2*v + 305. Let x = v + -6515\/9. Find the common denominator of -131\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 1424 = -7*z. Is 11 a factor of z\/10 - 4\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5)*w)**(-34)*(w\/(w\/w**(-4\/11)))**(-5))**(-2\/35) assuming w is positive.\nAnswer: w**(8776\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.29 + -5.79. Let g be 2 + (-1)\/(-2)*0. What is the nearest to 4 in c, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/66 and -43\/429.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*((-72)\/(-16))\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, k: 10}. Give prob of picking 1 y and 2 k.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8867 and 256.1.\nAnswer: -8610.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 4*d. Let u = 51 + -41. Let s be (-2 + -5)\/(4 + (-41)\/u). Let w = -66 + s. Give r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*w**2\/5 - 897*w\/5 - 174.\nAnswer: -3*(w + 1)*(9*w + 290)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**2 + 9*o**2 - 1 + 2*o - 4*o**2 to j + t*o + i*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - h**3)*(-h + 2*h + 0*h + (1 + 3 - 1)*(0*h - 2*h + h) - 2*h + 0*h + h).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:08 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -287, 0.21, 5 in ascending order.\nAnswer: -287, -0.6, 0.21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.55 - -7.95. Let h = -4.4 + f. What is the third smallest value in -4, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2747, 6\/7, 0.4, -0.4, -0.15 in ascending order.\nAnswer: -0.4, -0.15, 0.4, 6\/7, 2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 + -137?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596286, -3190052, -4783828, -6377620, -7971434, -9565276, -11159152?\nAnswer: -12753068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18135 = -147*p + 82*p. Calculate the remainder when p is divided by 68.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q**2 - 8*q + 7. Let o(g) = -14*g**2 + 7*g - 6. Let y(s) = -3*o(s) - 2*p(s). What is the common denominator of y(1) and ((-2)\/2)\/(14\/(-38))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58, -53, -2, 119, 334, 667, 1142, 1783?\n\"Answer: 4*c**3 - c**2 - 20*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*k - 2*l, 4*l + 6 = 7*l. What is the tens digit of -162*(96\/(-9) + -3 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71193 divided by 2?\nAnswer: -71193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077215 rounded to five dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*y - 686 + 686 + 3*y - y + 2*y + (-2 - 3 + 3)*(-y - 1 + 1))*(-4*y - y + 7*y) to the form x*y + r + u*y**2 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 486 - 435. Suppose y - 451 = o. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7182489?\nAnswer: 3, 2394163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from lccllc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h**3 + 5*h**2 + 8*h + 6. Determine r(-2).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 155009981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 + 11.1. Which is the nearest to -1? (a) s (b) 0.03 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2)*4 + sqrt(28) + -4)*4)**2 - (-5 + 2*sqrt(7) - sqrt(21)\/sqrt(3)*-6).\nAnswer: -776*sqrt(7) + 4293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8664, -9036, -9650, -10500, -11580, -12884, -14406?\n\"Answer: v**3 - 127*v**2 + 2*v - 8540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*l - 3*j, 0 = 4*l - 5901*j + 5903*j - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2245 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16140214 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210180375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*x, -7*j = -4*j - 4*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 29*v**5\/20 + v**4\/8 - 35*v**3\/6 - 21*v**2 - 7*v. What is the second derivative of q(m) wrt m?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/5 - q**4\/6 + q**3\/6 - 78*q. Let k be f(0). Solve k = -5*v + 8*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*a**2\/4 - 13*a\/2 + 2.\nAnswer: -(a + 4)*(7*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184 - 0.1.\nAnswer: 183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+131751\nAnswer: 131750.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -26*v**3 - 15*v**2 - 78*v + 3. Let y(x) = 13*x**3 + 8*x**2 + 46*x - 1. Determine 3*b(g) + 5*y(g).\nAnswer: -13*g**3 - 5*g**2 - 4*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k - 11*k - 5499. What are the prime factors of k?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/507136 and 37\/1702528.\nAnswer: 23835392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 660 - 152 = 0. Suppose -6*s + 322 - i = 0. Calculate the remainder when 128 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -158a?\nAnswer: -1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2530890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5\/3 - 197*j**4\/3 + 1457*j**3\/3 - 2791*j**2\/3 + 236*j + 276 = 0. What is j?\nAnswer: -46, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.6162512 rounded to 2 dps?\nAnswer: -19.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 1053 = -1068 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(180) + sqrt(180) + (sqrt(180) - (-3 + sqrt(180)*1)))**2 + 5 - (-3 + sqrt(180)*1 - (-3 + sqrt(180) + -4))**2)*-4.\nAnswer: -2868 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031 - -33130200132?\nAnswer: 33130133101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqfqf. What is prob of sequence ff?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i\/(i\/(i**(2\/3)*i)))\/(i**(-2\/3))**15 assuming i is positive.\nAnswer: i**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/28 - -31\/84. Which is the closest to -2? (a) 0.2 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29012 + -29006. Let q be (1 - 1)\/(0 + -1). Solve q*p + d = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/14*(-147)\/(-3). Suppose -53*w + 356 = -o*w. Calculate the lowest common multiple of w and 6.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 144*q + 854. Calculate j(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.27935 and 26\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/13 (b) -15118 (c) -2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 7*p**2 + 7*p + 9. Let g be z(-6). Suppose -g*s - 5*c = -3*c + 6, 8 = -4*s - 2*c. Which is greater: s or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 13793\/61803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3216390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333*z**3 + 2*z**4 - 335*z**3 + 136760*z**2 - 6207*z - 136289*z**2 wrt z.\nAnswer: 24*z**2 - 12*z + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52518797 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -903 + 909 + (5 - (4 - -20))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*32\/(-16)*-18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k - 4. Let p be z(3). Let g(j) = 2*j + 90. Let a be g(-42). What is the units digit of ((-4)\/3)\/(p\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**0*n)\/n*n)\/n)\/(n*n*n*n**3*n))\/((n\/(n*n**(2\/5)*n))\/n*n**7*n) assuming n is positive.\nAnswer: n**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -12. Suppose -24*r - 62 = -28*r - 2*o, -4*o = -5*r + 71. Calculate the remainder when r is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (-84 - -92)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q + 3*j - 726, 3*q - 440 = -4*j. Suppose -4*x + 372 = -q. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23393 - 13554. List the prime factors of d.\nAnswer: 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 189*k**3 - 2*k**2 + 2*k - 82. Let u(z) = 2*z**3 - z**2 + z. Let n(m) = -d(m) + 2*u(m). What is the first derivative of n(o) wrt o?\nAnswer: -555*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 310?\nAnswer: -30e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*n - 1382, -2*d + 23 = 4*n - 1361. Let w be ((-1)\/(-3))\/(10\/d). Solve 7 = -z - t, 4 = 5*z + t + w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 5078*j + 70658. Give i(14).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 118*l - 116*l - 12 = 0, 5*f = -l + 34 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/130*((-36)\/4)\/(-243)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:24 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*s + 15 = 0, 2354*s - 40 = 5*b + 2351*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 14.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-316 - -304) + (1 - -11). Solve 4*j + 2*x - 6 = y, -x = -24 + 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11535*c - 4278*c = -467517 + 2064630 for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*i + 7*i = -12, 12 = -3*i. Suppose -f + 0*w + 14 = -o*w, 2*w = -2*f - 2. What is the second derivative of 1 - 1 + 94*v + 38*v**f - 68*v wrt v?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 7*l - l + 2*l. Suppose 23*c - 198 = 170. Let a(z) = 52*z - 26. Let g(v) = -10*v + 5. Let b(n) = c*g(n) + 3*a(n). Calculate y(b(j)).\nAnswer: 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -100, -142?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) 3 (d) -38.4 (e) 36 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 2*m. Let z = -5 + 10. Let v(j) = j**2 - 3*j - 2*j - 8*j**2. Let o(c) = z*y(c) - 2*v(c). Let k(f) = 2*f. What is o(k(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -22*z - 4095. What are the prime factors of z?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)\/(p**(1\/4)\/p*p)*p**(6\/7)*p**5 assuming p is positive.\nAnswer: p**(153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from fmmfqmmmmqm?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/5 - 141834*w\/5 + 141832\/5 = 0?\nAnswer: 1, 70916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -28*n**2 - 6*n. Let l(j) = -84*j**2 - 18*j. Let v(c) = -4*l(c) + 11*y(c). Find the second derivative of v(x) wrt x.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713838111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027752 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let x(l) = -24*l + 18. Let m(g) be the first derivative of -5*g**2\/2 - 58*g - 3. Let n be m(-8). Calculate n*p(i) - x(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -7*t**6\/120 - t**5\/30 - t**4\/12 + t**3\/6 - 6*t**2. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*g + 43*g + 11*a + 26, -5*g = -5*a - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 493191 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3342 + -3286. Solve -5*z = j - 8, -j + 5 = 58*z - p*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u = -10 - 170 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*m - 20 = -234*m, -5*n = -m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + (-6)\/(-9). Let c = 3 - z. What is the third derivative of -q**c - 4*q**3 + 6*q**3 - q**3 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9503 and 113\/10.\nAnswer: 95030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19775\/13 + 1521. What is the nearest to q in 2, -1, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4043 - 0?\nAnswer: -4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1191000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 45. What is the closest to k in 20, 2\/9, -0.3, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380450*y**5 - 360863*y**2.\nAnswer: -22827000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymysd. What is prob of sequence myds?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 8347\/55. What is the common denominator of b and 37\/355?\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let q = -5 - -8. Find p such that 0 - 2\/3*p + 2\/3*p**j + 2\/3*p**q - 2\/3*p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 120 = 5*b - 206, -b - 5*m + 76 = 0. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c - 5*j + 13, -18 = -3*c - 4*j. Let v(y) = 7*y**2 - 3*y**2 + 2 - y**2 - 2*y**c + y. Let s(d) = 2*d**2 + 3*d. Let l be s(-2). What is v(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (-2*(sqrt(66) - (-2*sqrt(66) - sqrt(66))) + sqrt(66)))\/sqrt(6).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.9749 millennia to months.\nAnswer: 239698.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*n**3 + 9*b**2*n**2 + b**2 + b - 21*n**2 - 43*n wrt n.\nAnswer: -6*b**2*n + 18*b**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1217 + 1240. What is the second smallest value in 3, -0.5, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - r)*(r - 4*r - 4*r) - 84 + 183*r**2 + 84.\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u + 7\/20*u**5 + 0*u**3 - 30*u**2 + 19\/24*u**4 + 0. Find the second derivative of n(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, o: 5}. Give prob of sequence so.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71699958?\nAnswer: 2, 3, 11, 19, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28318535 divided by -7.\nAnswer: -4045505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**8\/48 - 2*y**5\/15 - 4*y**2 + 6. Let r(i) be the second derivative of o(i). What is the third derivative of r(q) wrt q?\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:01 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 616261?\nAnswer: -616257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 135, 134, 133, 132?\n\"Answer: -n + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57855*c - 42651*c + 7264*c + 84957*c.\nAnswer: 107425*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + o. Let d(m) = 5 - 3 - 3. Let r(g) = 1. Let a(n) = -5*d(n) - 6*r(n). Calculate -3*a(f) + z(f).\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 148*c. Let h(r) = -2*r**2. What is h(l(w))?\nAnswer: -43808*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 2*sqrt(320) + sqrt(320) + 1 + 2 + sqrt(140)\/sqrt(7) + ((2 + sqrt(5))*1 - sqrt(5)))**2.\nAnswer: 52*sqrt(5) + 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 66\/143 + (-1660)\/(-65).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 + 1. Let q(p) = 5*p**3 - 12*p**2 + 8*p + 9. Let c(w) = q(w) - 6*x(w). Find the second derivative of c(i) wrt i.\nAnswer: 30*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -357.7 - -379. Let p = -25.3 + y. Which is the closest to -1? (a) -0.2 (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -33\/58 - -2\/29. Suppose 2 = 4*o - 14. What is the third biggest value in -2\/5, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56237501 (base 8) to base 11\nAnswer: -6942255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0406 + 13.0406. What is the nearest to 0.1 in -4, 5, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, b: 5, u: 2, o: 1, j: 1}. Give prob of picking 2 h and 1 o.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000248 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from rilniiliinnir?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(20) + 2 + sqrt(20) - sqrt(5)).\nAnswer: -3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -12, -27, -46, -69, -96?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2650 + -1487. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4825*h**2 + 4827*h**2 - 9650*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/10, -2\/7, -10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 961 + -5779\/6. What is the common denominator of r and ((-2)\/60)\/(18\/3735)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 6. Let q be ((-8)\/n)\/((-24)\/240). Find the third derivative of 2*i**2 - q*i**5 + 19*i**3 - 7*i**2 - 19*i**3 wrt i.\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*s**3*z**3 - s**3*z**2 - 1357523*s**2*z**3 + 2475*s**2*z + 5535*s*z**2 wrt z.\nAnswer: 828*s**3 - 8145138*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -43b97?\nAnswer: 43ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 3*s**2 + 124*s - 7. Let f be i(-20). Calculate the highest common divisor of 112 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.5. Let t = -3.82576 - -3.72576. Which is the nearest to t? (a) q (b) -0.3 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18992821 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) + 2*sqrt(315)*-2)\/(-2*sqrt(5)*5))\/((-3*2*sqrt(576) + sqrt(576) - sqrt(576)) + (sqrt(576) + sqrt(576)*2)*1))**2.\nAnswer: 7\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(8208))\/(sqrt(33)\/(1*sqrt(11))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -257908669\/21 + 12284907. Let q = a + -3540. Find the common denominator of q and -23\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10920374 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*l**4 + 3*l**3*q - l**2 - 7*l*q - 5*q wrt l.\nAnswer: -1944*l + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2626244 and 6565610.\nAnswer: 13131220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -338282.\nAnswer: 338286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 16 = -4*d, d = -g - 4*g + 4. Suppose g*l + l = 422331. Suppose -y + l + 57665 = -r, 4*y + 4*r = 1920016. What is y rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 7*q**2 - q + 2. What is the least common multiple of 253 and r(-7)?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - -3 - 9\/(-3). Let m = 37 - 18. Let c = b + m. Solve -2*g - 2*s + c = 3*g, -2*s = 2*g - 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -0.3, 0, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (16 - 3) - (-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 13. Let z be w(9). Solve 4*g - 2*g - z = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9632697 to the nearest integer?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.932 rounded to 1 dp?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*w + 2*m, -4*m - 11 + 2 = 3*w. Let b be (-6)\/w + 83 + 2. Let q = b - -308. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 5:32 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1015350.2199982 + -1015350. Let a = 26.22 - 26. Let f = z - a. Round f to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j - 5*r + 35, -j = -5*r + 23. Suppose -4*p - c - 4*c - 7 = 0, -2*p - j*c = 2. Does 8 divide 7 - 2\/(-4)*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, 1, -276, -1, -3, -6 in increasing order.\nAnswer: -276, -6, -3, -1, 1, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 2*l - 21. Let w be k(-4). Let a(b) = 2924*b**2 + 24 - 2923*b**2 - w*b + 5. Is 42 a factor of a(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-6 + 9 - (-18 - -12)) + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 9. Calculate c(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -42*s**3 + 5704*s**2\/11 - 1928*s\/11 + 96\/11 = 0.\nAnswer: 2\/33, 2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 923.6797um?\nAnswer: 0.9236797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m + 37. Determine d(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - -505?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255767 is divided by 268.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4a3 (base 11) to base 15\nAnswer: -29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(60\/9)*((-64792)\/156)\/(-89).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.485215 centimeters in kilometers?\nAnswer: 0.00006485215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 21*f**2 + 116*f + 1624. What is d(-23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35\/1178189 or -1?\nAnswer: 35\/1178189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4 + (-1 + 0 + 0)*(-4 + 5 + 0) + 4 + 0 - 1 - 1 + 1 + 2)*(-14*q + 105 + 108 - 213).\nAnswer: -70*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 201130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 4*n - 6. Let l be o(-4). Let p be ((-6)\/5)\/(l\/20). Let d = -352 + 4574\/13. Which is the closest to 0? (a) d (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4634066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1132 - 646. Let o = 378 + u. Does 72 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2495 (base 16) to base 2\nAnswer: -10010010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 11. Let s(o) = -23*o**2. What is s(z(k))?\nAnswer: -207*k**2 - 1518*k - 2783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -253, -300, -331, -310, -201, 32, 425, 1014?\n\"Answer: 6*p**3 - 28*p**2 - 5*p - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6229 + 6411 = 91*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*d - 65 = 0, 28 = m + 5*d - 9. Solve -m*c = -33*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205315, 206014, 206713, 207412, 208111, 208810?\nAnswer: 209509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 55210.2, -3\/5, -8\/21 in descending order.\nAnswer: 55210.2, -8\/21, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-91)\/35 - -3)\/(2\/60). Suppose 4*z + 15 = -w + 11, z + 3*w = -h. Let l be -2 - (0 + 33\/(-15)). What is the nearest to z in 4, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110111 + -100?\nAnswer: 1011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 217*n - 2331. Let f be q(96). Solve t + 3*y = 7, 2*t + f*y - 12 = 65*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61, -63, -65, -67?\n\"Answer: -2*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*d**2 + 29 - 2*d + 2*d - 4*d + 3*d.\nAnswer: -724*d**2 - d + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 bigger than -19323\/325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071985933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183.688 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 5. Let a be f(0). Suppose -a*q + 17 = 4*n - 11, 0 = -2*q - 2*n + 12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370 and 280.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d + 11. Let h(w) = -5*w - 6. Let s(p) = -6*g(p) - 11*h(p). Let r(b) = 2*b. Give r(s(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1700 - 1682. Let s(i) = 10*i + 9. Let f(t) = -t - 1. Let p(l) = l + 4. Let o be p(-2). What is h*f(m) + o*s(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 11}. What is prob of sequence rg?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 11*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -47 - (3 + -11 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68077 and 28664?\nAnswer: 544616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 754.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 + 50*a**2 + 50*a**2 - 145*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/4, 0.3, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 0, -6, 610, -12, -2 in decreasing order.\nAnswer: 610, 75, 0, -2, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37866629 * 1\nAnswer: 37866629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let i(w) = -11*w. Let p(v) = -5*v. Let t(u) = -2*i(u) + 5*p(u). What is d(t(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 5*d**2 - 2*d - 6. Let f be -26*(-4*1)\/(-8). Let u = f - -16. What is the remainder when l(u) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/4 - c**2\/2 + 13*c. Let h be m(1). Suppose -h = p - 85. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3 - 1091428*m**2 + 1091432*m = 0. Calculate m.\nAnswer: -272858, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)*x**(-3\/4))\/(x**(-2\/9))**(-1\/15) assuming x is positive.\nAnswer: x**(-233\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 = -319*v + 206*v + 3267 + 1721 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 2. Let v(w) be the second derivative of w**2\/2 - w. Let c be 2\/(-5) + -3*11\/((-660)\/48). Give c*l(u) - 4*v(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 483. Calculate the greatest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 12 = -9*q. Let z(a) = -6*a**3 - 30*a**2 + 3*a + 19. Let f be z(-5). Calculate the highest common factor of f and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:13 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 179*o**2\/3.\nAnswer: -o**2*(o + 179)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -31 in decreasing order.\nAnswer: 2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*q, -b + 2 = 3*q - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 80, -325, -878, -1597?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02884 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:03 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17\/18 (b) -0.5 (c) 1 (d) 84\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*(508\/20 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1620 + -1576. Solve -l*r + 62 = -13*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Is 292109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/5 - 508*v**4\/5 - 60814*v**3\/5 - 67876*v**2 + 863239*v\/5 - 462536\/5 = 0. What is v?\nAnswer: -323, -179, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7*a - 3*a = 48, -5*a - 48 = -k. Let c be (2\/(-5))\/((-2)\/60). What is the highest common factor of c and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 1. Find the common denominator of -77\/4 and -1*109\/14 + l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of (8\/(-2))\/((-24)\/7872) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 5. Let a be l(5). Let w(g) = g - 12. Let y be (-49)\/(-4) + 18\/24. Let o be w(y). What is the closest to o in a, -3, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeeeexeeeeee. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 45*c + 64. What is the remainder when 335 is divided by d(44)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-65780)*10*-11?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y + 5*u - 29 = 38*y, 4*y - 4*u = 68 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*p + 311 - 311)*(-3 + p + 3) + 2*p**2 + 4*p**2 - 4*p**2 + 0*p**2 - p**2 + 3*p**2)*(5*p**3 - 3*p**3 - p**3) + 3*p**2 - 32*p**3 - 3*p**5 + 32*p**3.\nAnswer: -8*p**5 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*5670\/324.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2 + 3647*q - 133570 = 0 for q.\nAnswer: 37, 3610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 36. Let g be q(-3). List the prime factors of g\/(-12) - 7\/28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -67748.\nAnswer: -11\/67748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/((-11)\/(-1034)). What is the nearest to g in 3\/2, -0.4, -0.1, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*n*r**5 - 2*n*r**4 + 5*n*r - 3*r - 18 wrt r.\nAnswer: -1100*n*r**3 - 24*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*20.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 5*p + 5. Suppose 0 = 4*n + 3*s - 33, 24 = 8*n - 5*n + 3*s. Calculate the remainder when z(-4) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/11, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -3*v**2 + 0 + 6*v + 5\/6*v**3 + 1\/12*v**4. Factor i(n).\nAnswer: (n - 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f)**(23\/6)*f**(2\/11)\/(f*f**8\/f*f) assuming f is positive.\nAnswer: f**(-1063\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 - 2?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 1, w: 6, n: 4}. What is prob of picking 1 o and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c83 + 4?\nAnswer: -1c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 519674*r + 3637679. Calculate z(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 8*c - 2480. Let k(u) = 4*u**2 - 7*u - 2480. Calculate -5*i(l) + 6*k(l).\nAnswer: -l**2 - 2*l - 2480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 44 - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -4*1*sqrt(204)) + -5*sqrt(204)*2)\/(6*-2*sqrt(432)).\nAnswer: 5*sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 498*a**5*i**3 + 21*a**2 - 4*i**3 wrt a.\nAnswer: 29880*a**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-2*v**5 - v**2 + v**2) + (-4*v + 2*v + 3*v)*(-694*v**3 + 694*v**3 + 11*v**4).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/2)\/((-99)\/18)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/455*13)\/((-1)\/5*-18). Let q(v) be the first derivative of -1\/2*v + 43 - f*v**2 + 1\/18*v**3. Determine z, given that q(z) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - a41b58?\nAnswer: -a41b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*p - 26 = 0, 2*m + 4*p - 6 = -0*m. Are -0.2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.595*-44\nAnswer: 466.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v. Suppose 11*i = 712 - 206. Suppose -7*b + 9*b - i = v. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/3 + 597*v**4 + 8935*v**3\/3 + 2975*v**2 - 8936*v\/3 - 3572 = 0. Calculate v.\nAnswer: -1786, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 920*w - 900*w + 520 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 8 + 12 - (0 + (3 - -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 9. Suppose 2*f + 21 = -5*b - 49, 0 = -4*b + f - 43. Let j be k(b). Is j - (3 + (-10732)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.002823 + 21.56\nAnswer: 21.557177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 66521?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 24 - 15*h + 24 - 4*h. Let g(v) = -7*v. Give 14*g(k) - 6*x(k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -6*w + w, -h + 8 = 3*w. Let p be (-17)\/(-5) - 2\/5. Let x be 19\/p + (-2)\/6. Solve -w*a + 12 = -x*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/978?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**3 - 2*q**3 - 2*q**3 + 15*q**3 - q**2. Let a be d(-1). Let f be a\/10 + 252\/70. Solve 0 = f*m - 0 - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1.72?\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -236*k - 2751. Give p(-10).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0)**12*(o*o\/(o\/((o*o\/o**(-2)*o)\/o)))\/(o*o**3\/o) assuming o is positive.\nAnswer: o**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*j + 38*j - 532. Calculate the least common multiple of j and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.511 + -0.511. Let u = -3.6 + 3.4. What is the closest to 0.2 in u, j, -1, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let j be 4*1*6\/(-12). Let x = 0.06 - -0.24. Put x, d, j in descending order.\nAnswer: d, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 371484 and 371484?\nAnswer: 371484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138681?\nAnswer: 3, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 16 = g, 477*g - 481*g + 28 = -2*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 3*n - 3*n)*(-3*n**2 + 0*n**2 + n**2) - 58 + 58 + n - 2*n**3 as l*n**2 + h*n**3 + g*n + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g**2 - 3*g - 13. Let f(t) = 7 - 2*t**2 + 0*t**2 + 4*t**2 + t + 5*t**2. Let b(j) = 11*f(j) + 6*w(j). Calculate b(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348293, 696464, 1044635, 1392806, 1740977?\nAnswer: 2089148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/14 - -111\/70. Let q = -61 + 65. Let p = -1.32 - -1.42. Sort q, p, o in ascending order.\nAnswer: p, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6\/181, 1\/4.\nAnswer: -0.5, -6\/181, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (-2)\/(-4)*7*132\/77.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**6\/120 - 237*h**2\/2 - 17*h. Let b(c) be the first derivative of j(c). Let d(k) = k**3 - 1. Determine -5*b(z) - d(z).\nAnswer: 4*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103)\/(-35) + (-9715)\/1675?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(189) + sqrt(189)))\/(-1*sqrt(363)))\/((sqrt(9) - sqrt(72)\/(sqrt(72) - sqrt(8))) + 4*4*sqrt(9)).\nAnswer: -4*sqrt(7)\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 80\/(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 2*h**4 + 0*h**3 + 0*h**3)*(-1 + 5 - 2) + (-13*h + 13*h - 3*h**2)*(3*h**2 + 2*h**2 - 3*h**2).\nAnswer: -10*h**4 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1352466.\nAnswer: -1352466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 1 + 5*z - 9*z + 2*z**3 + 3. What is the derivative of s(u) wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-52))\/((12\/10)\/((-6)\/(-90)*9))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8268173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265819 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.91 + -0.91. Let z = 45 + -91\/2. Which is the nearest to z? (a) 0.5 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177.77867 + 0.22133. What is the nearest to b in 0.3, 3, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 10*g**2 - 17*g - 9. Let k = 164 - -150. Let v = k - 322. Give q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1310278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhdudqhduu. Give prob of sequence uhuh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46324883 rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from neuweuneeeneen.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44046 - -44?\nAnswer: 4408a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -81 (b) -1\/34 (c) -5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdkdggjhhdv. Give prob of sequence gggh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 538 and 4573.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71129931881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/13)*m)\/m)\/(m*((m*(m**(4\/3)*m)\/m)\/m)\/m))\/(m*(m\/m**(-1\/4))\/m)**(-37) assuming m is positive.\nAnswer: m**(6995\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.46359 rounded to 2 dps?\nAnswer: -51.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/5*(-5)\/2. Let l be 168\/9 - 2\/3. Suppose -g - l = -q, q + r*q - g - 63 = 0. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11993\/3 - 3998. What is the fifth biggest value in -3, u, 0.2, 22, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898 bigger than 1581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-6)\/(-3) - 1). Suppose -8*n + 5*n + 12 = j. Solve -15 - 5 = -n*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = 2*j, 0*j - j - 1 = 4*g. Let l be 10\/(-6)*(1 - 7). Let z(h) = -5*h + 54. Let o be z(l). Solve g = 3*b + 3*i + 12, 0*b + o*i = 2*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2214, -4428, -6640, -8850, -11058, -13264, -15468?\n\"Answer: r**2 - 2217*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 23 + 30 - 53 + 6*d. Calculate u(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 7*o + 9. Let i be y(-6). Suppose 4*v = -i*w + 14 - 3, 5*v + 3*w = 16. Let n = 740 - 735. Calculate the highest common factor of v and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -5, 1, 5, -4 in descending order.\nAnswer: 202, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 380003804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/(-64)*(-4)\/77?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from mjrjrbbmb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3778 + -0.0778. Which is the second smallest value? (a) j (b) -0.3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1682526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -146.9999883 - -147. What is u rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/(-6)*(-1512)\/(-9828)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 467*s**6\/10 + s**4\/12 - 2145*s**3\/2 - 4330*s. Find the second derivative of n(x) wrt x.\nAnswer: 16812*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - -0.08. What is the closest to -0.3 in -0.4, 0.2, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 8*m + 21. Let i be (-3)\/9*17 - 4\/(-6). Suppose 0 = -3*d - 4*t + 59, -2*d + t - 3 + 46 = 0. Calculate the remainder when d is divided by k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 11. Let p be b(8). Suppose -6 = 4*q + 5*t, q + 22 = -2*q + p*t. Let w = q + 6. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010010101110 (base 2) to base 6.\nAnswer: 452114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 15, 2*t = 6*n - 3*n + 18. Let p = 6 + n. What is the third derivative of -9*j**6 - j**p + 2*j**2 + 13*j**6 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 5. Let q be ((-5)\/2)\/(2\/8). Let c be 4\/6*(-45)\/q. Put 5, v, c in increasing order.\nAnswer: v, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 653 (b) 3 (c) -3 (d) -0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-429)\/315 - (-8)\/(-20). Let o = 17\/7 + u. Factor -2\/3*z + o*z**2 + 0.\nAnswer: 2*z*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*q - 4*x, 2*x + 12 = 4*q - 2*x. Suppose -2*z = q*z. Which is smaller: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 20*i**3\/3 - i**2\/2 + 3117. Let g(y) = 39*y. Give m(g(c)).\nAnswer: 30420*c**2 - 39*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 9*o**2 + 3*o + 78. Let z be j(-10). Which is the nearest to 0? (a) -0.8 (b) -0.5 (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 6. Let m(b) = b. Calculate l(c) - 5*m(c).\nAnswer: -2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*y - 2*a - 4, 42*y = 75*y - 38*y - 3*a - 15 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109068 = -3*w - 59*w + w. Solve -4*p + w = 1796 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2469)\/411*(-2)\/6. Let m = v - -1237\/1644. Let l(x) = x**2 - 5*x - 2. Let p be l(6). Which is the closest to 2? (a) -0.1 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42975 - 52050 = -21*s. What are the prime factors of s?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/39 + 4\/(-6). Suppose a = 2*h - 40. Let j(l) = -4*l**2 - l + 50. Let o be j(0). What is the greatest common factor of h and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*(b*b**(-4\/3))\/b))\/b)\/(b\/b**(-2\/31)))**8 assuming b is positive.\nAnswer: b**(-1288\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205076 by 4.\nAnswer: 51269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 67, 81, 101, 127, 159, 197?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18401*d - 5*k - 38 = -18399*d, 0 = -13*k + 26 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1.7566.\nAnswer: -3.2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -32*z. Let l(w) = 7799*w. Give l(r(c)).\nAnswer: -249568*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*r - 2*r**3 + 35*r - 156*r - 98*r.\nAnswer: -2*r**3 - 322*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*v + a, 0 = 4*v + 2*a - 12. Suppose h + 23 = v*h. Let b(l) = -97*l + 585. Let f be b(6). Solve -j - h = 5*q, -4 = q - j - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 47*z**2 + 266*z + 52. Determine i(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchchhc. Give prob of sequence hchc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 336, 520, 704, 888?\n\"Answer: 184*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 4, w: 2, q: 9, p: 1, l: 3}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 22*c = 20. Solve -c*d - 8 = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 181 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 113 + (0 - -7) + 18 + (0 - -3) + -32\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5, -k - 52 = -5*r + 28. Solve c = 2*l + 6, 5*c + 5*l = -0*c - r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**3 - 5*v + 4*v - 13*v**3 + 7*v to the form m + f*v**2 + p*v + u*v**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -15*x**2 + 9*x + 5*x**2 - 4 + x**2. Let u be t(6). Let n = -59 - u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9730200*n**2 - 27873*n + 105?\nAnswer: -19460400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/(-110)*(-1)\/(-6) and 4564\/(-1617) - (-28)\/42*((-1)\/(-7) - -2).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**5 - k**4 - k**4 + 2*k**4 + 3*k**2 wrt k?\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 3*r**3\/2 - r**2 + r. What is the units digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 14*r + 2 + 8*r**4 + 66*r - 18*r - 26*r - r**3 in the form f + d*r**2 + z*r + x*r**3 + h*r**4 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = 0. Let m(c) be the second derivative of u*c**3 + 0 + 0*c**2 + 1\/3*c**4 - 4*c. Let f(x) = -2*x. Calculate f(m(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-29 - -14) + (-13 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2460 divided by -492.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -0.02 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 2 (b) -463 (c) -0.3 (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Suppose p + 0*p + n*h = 5, 3 = -2*p + 3*h. Let v = 5 + p. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 14*i**2 - 2*i - 23. What is the remainder when y(10) is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.462 from -0.4.\nAnswer: -2.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:43 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)*f)\/(f\/(f*f**0))*f*f**(-4\/5)\/f*f\/(f*f**(3\/5))*f*(f*f**(-3)*f*f*f*f*f*f)\/f**5*(f\/(f*f\/(f*(f\/(f\/f**(-1\/4)))\/f*f)))**48 assuming f is positive.\nAnswer: f**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {o: 1, i: 6, j: 10}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 52*j**2 - 712*j - 1760 = 0.\nAnswer: -5, -4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + 10.11. Let z = d - 22. Let q = z - -12.2. Which is bigger: q or 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 62. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - 4) + (-4 - -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 90*j**2 - 37*j**2 + 112*j**2.\nAnswer: 163*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111110000 (base 2) to base 14.\nAnswer: -530c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 31592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 877325792 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10*n = 14*n - 18, 4*a - n + 1 = 0. Calculate the highest common divisor of 179 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/17 + 100*k**3 + 32824*k**2\/17 + 171900*k\/17 + 140778\/17 = 0. Calculate k.\nAnswer: -9, -1, 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -4*q + 9. Let d = q + 40. Let x = -222398 - -222455. Calculate the remainder when x is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-6))\/((-52)\/((-9984)\/(-64)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 3, -3\/4, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7771.36 years?\nAnswer: 93256.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 176. Suppose 4*f + 14 = q. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4900, 4992, 5228, 5608, 6132, 6800?\n\"Answer: 72*c**2 - 124*c + 4952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497395 + 497395 - 46*d**3 + 3*d**2 - 3*d**2.\nAnswer: -46*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 79\/2 of a century?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {n: 2, r: 1, k: 1, b: 1, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, g: 2, n: 6, u: 4}. Give prob of sequence ugn.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7420 - -2284. Let s = l + 5139.429. Round s to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000416012 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:33 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/50 and (-129)\/540*((-175)\/(-14))\/(-25).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 4)*((2*u**2 + 0*u**2 - u**2)*(1 + 3*u - 1) + 2*u**3 - 4*u + 5*u + 0*u).\nAnswer: -35*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33\/(-2)*(-48)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*f + 46134 - 44674 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -15 (b) 1136\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(22)\/sqrt(2) + -5 - sqrt(11))*-5)**2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - -13 - (5 - 7)) + 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(7260))\/(sqrt(144)\/(sqrt(48)\/sqrt(4)) - sqrt(1728)*-1).\nAnswer: -88*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9615.6 to the nearest one hundred.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 5.063858\nAnswer: -65.830154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 123 = d. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**3 - 2*j**2 + 4*j - 3. Let g be w(-2). Suppose 0*m + m = 0. Suppose -4*v + g - 9 = m. Solve a - y - 5 = 0, 4*a + y - 2*y = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/5, -4\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306*369.8.\nAnswer: 113158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045375 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744 and 11346?\nAnswer: 45384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11575 and 30933956.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/15*2\/(-7656). Let l = 121444\/957 - n. Let q = l + -127. Sort q, 4, -3 in descending order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92929927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*n = -256, -2*f + 118 + 142 = 2*n. Are f and 133 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-2)*1\/4. Suppose -18*k = 2 - 38. Suppose 3*c + k*l = -c + 18, 5*c + l = 15. Is q less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 96. Let b(o) = 7*o - 1. Let a(k) = 8*k - 1. Let i(g) = 3*a(g) - 4*b(g). Let h(y) = 2*y - 1. What is u*i(v) + 5*h(v)?\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -4106a?\nAnswer: 41070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*g - 5*g = 40, -i + 4*g = 76. Let j = -56 - i. Solve 25 = j*p - o - 0*o, 5*o = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.6, -166, 0.4, 32, -46\/7, -0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1080, 1959, -456, -9339, -27864?\nAnswer: -59205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24718 (base 15) in base 6?\nAnswer: -2254352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(693\/198)*-483?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-8))\/n)\/((n\/(n*(n\/(n*n*n*n*n**(-3\/5)*n*n*n*n))\/n))\/n) assuming n is positive.\nAnswer: n**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 1356802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-4 - -4)\/1 + -2. Let k(i) = -i**3 - i**2 - 2*i - 2. Let w be k(n). Let s(p) = -p + 2. Let t be s(5). Put w, -5, t in increasing order.\nAnswer: -5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by 56\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 10:35 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -4*r, 3 = -h + 2*r + 20. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51a (base 13) to base 6\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-462)\/(-18) + 1\/3. Let o be 30\/t + 2 + -3. Let u be 0 + 1 + (-5)\/2. Which is the nearest to 0? (a) 1 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.52253 - 0.02253. What is the second smallest value in 45, p, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.0385 to one dp.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*b + 441*b - 1216 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 8. What is g(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028346923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 7*i**2 + 2*i + 9. Let z be b(-6). Calculate the highest common factor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Suppose p*k + 156 = 6*k - 5*f, 3*k - 82 = -5*f. What is the remainder when 135 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28772748 and 594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -12403 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 9*t. Let d be g(9). What is the closest to 8\/3 in 0.5, -1\/5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:37 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8229, -8223, -8219, -8217, -8217?\nAnswer: -8219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 143 - (-82 + 72 + -22 + 21).\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 6*q**2 - 7*q - 2. Let g be r(4). Let z(s) be the first derivative of 1 + 3\/2*s**2 + g*s. Let m(k) = k**2 - k - 1. Calculate 2*m(v) + z(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 1. Let b(g) = -19*g**2 - 9*g + 19. Let x(n) = b(n) - 4*r(n). Let k(a) = 7*a**2 - 1 + 937*a - 6 - 931*a. Calculate -13*k(c) - 6*x(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12040)\/2580 - 11\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1424\/15 - -468\/5. Put 17, 6\/11, s, 3\/8 in descending order.\nAnswer: 17, 6\/11, 3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*n + 24 = 0, 19614*n + 7 - 1 = 19617*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47.09057 decades?\nAnswer: 470.9057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7422890108 rounded to 4 dps?\nAnswer: -0.7423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.02901 - 875\nAnswer: -874.97099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12092957.018798026 - 12092957. Let k = -0.0188 + s. What is k rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 12*k**2 - 2*k + 18. Let l be p(12). What is the remainder when 27 is divided by l\/9 - 46\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 164 - 194 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 5137.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 994 + -905. What is the remainder when i is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483 = 2*b - 1481 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u**2. Let m be g(-1). Let l = m + -14. Let q(k) = -3*k - 2394 + 4781 - 2393. Let t(p) = -4*p - 7. What is l*t(y) + 5*q(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 81*p - 33. Let h(a) be the first derivative of 5*a**2\/2 - 2*a + 90. Determine -33*h(x) + 2*u(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 10. Let c(j) = j + 1. Suppose 6*p = 8 + 10. Suppose g + 2*g - p = 0. Let m(h) = g*q(h) - 6*c(h). Find the first derivative of m(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r**3 - r**2 + 6*r + 2. Let l(c) = -29*c**3 + 2*c**2 - 11*c - 4. Give -6*l(g) - 11*y(g).\nAnswer: 9*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2) + 1)\/(22 - 19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/(-42) + (-165790)\/(-70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.8 and 0.2.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1343341 and -0.107.\nAnswer: -0.0143737487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23871201371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/399 (c) -4.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 545 = -4*m, -287 + 14 = -2*m - h. Let y = m - 134. Solve y*l = 4*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9432524707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 139. Determine g(23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 2, o: 1}. Give prob of sequence gno.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 76.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1881 and -0.4.\nAnswer: 752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1856 - -1692.5013.\nAnswer: -163.4987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72054?\nAnswer: 2, 3, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458048529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 458833591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132816.51ns to hours.\nAnswer: 0.000000036893475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 405 times 5\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let p(y) = -774494*y**2. Give p(s(a)).\nAnswer: -3097976*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -1\/12*r**4 + 0*r**3 + 0 - 42*r + 0*r**2. Calculate p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.494 - 26.124. Let t = -0.37 + z. Let w = t - -22.00068. What is w rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((255960\/300)\/(-79))\/(1\/(20\/(-6))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n + 8*n + 9*n + 14. Let k be f(-6). Solve k*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 45 = 5*g, -3*g + 6*r + 27 = 2*r. Is 124 + (-3)\/g + (-6)\/9 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*s + 2, 4*g - 3*s - 23 = 0. Let d(f) = -6*f**3 + f**2 + f + 1. Let c be d(-1). Suppose -g*w - c = 18. Sort 4, 1, w.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3879445 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -746.98873 rounded to one dp?\nAnswer: -747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -24071 smaller than -24066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:26 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 768780 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -350647 (base 11) in base 3?\nAnswer: -1001022020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95353 by -199.\nAnswer: -95353\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a43b (base 16) to base 15.\nAnswer: -36460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*y - 160. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**3 + 2*y**2 + y. Let w be s(-1). Let i = w + -4. Solve 0 = 2*l + i*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -420357958 and -420357957 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 29. Let h(x) = x**2 + 12*x + 8. Let f be h(-11). Let k be (-14)\/(-3) + 2\/f. Solve d = p + k*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1 (c) 0 (d) 4 (e) -0.0207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482661 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 2. Suppose 2*g - 5*o = -g + 26, -5*g = 3*o + 2. Suppose 0*y = y, y = g*w - 10. Suppose v - 12 = w*v. Let d(n) = n - 1. Give v*f(c) - 5*d(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3))**3*x**(-6)*x\/(x*x**(11\/3)) assuming x is positive.\nAnswer: x**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*j - 290, -4*j + 0*j = -5*c - 187. Suppose j = 5*i + 4*y, 0*y = -3*i + 2*y + 45. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m**2 + 2 + 182*m**2 - 5 + 4.\nAnswer: 219*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9262.7 times 2?\nAnswer: 18525.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, 252?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11207 is divided by 1004?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 1. Let k = -123 - -127. What is the remainder when 117 is divided by z(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 1388. Let c(o) = -3*o. Calculate c(x(p)).\nAnswer: 9*p + 4164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -761*h*r**2*u**2*w + 2*h*r**2*u + 2*h*r*u*w - 16*h*u**2*w - h*u*w - 65*h*u + 9*r**2*u*w - 2*r*u wrt u?\nAnswer: -1522*h*r**2*w - 32*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 2}. Give prob of picking 1 g and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2685, -2691, -2699, -2709, -2721?\n\"Answer: -p**2 - 3*p - 2681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1085 - 2702*z - 1081 + 2166 to the form s*z + u and give s.\nAnswer: -2702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108 - 532 + 347*u - 178*u - 168*u.\nAnswer: u - 1640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3106 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/3473 and -38\/105486637?\nAnswer: 2426192651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75\/2 + 37. Let t = 176\/665 + 2\/95. What is the nearest to j in 3, t, 4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-95))\/(2\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17*s - 93*s = -237. What is the remainder when 2240 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 442627004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (-1 + (sqrt(112)*2*-3 - (0 + sqrt(112))*-3))*-2 + -4))**2.\nAnswer: -3840*sqrt(7) + 64912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + 1. Let u(g) = -4*g**3 + 8*g**2 - 2*g + 7. Let x(f) = u(f) - 5*w(f). Let s(d) = 2*d**3 + 7*d**2 - 5*d + 5. Determine 4*s(l) - 10*x(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 2*v. Let c(h) = 8*h**2 - 11*h + 583. Give c(s) + 6*w(s).\nAnswer: 2*s**2 + s + 583","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-38)\/(-95))\/((-2)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 153?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-2)\/(-10) - (-11)\/(-5)). Are 7\/26 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 675, 1080, 1459, 1812?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - 1.2. Let k = -655\/2 + 328. Is f at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 22.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36567 - (4 + (-6 - -8)). Is (-6)\/9*l\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -25. Suppose 0*g + 4*g = -8. Let b = g - x. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 5*j - 5. Let b(y) = -y**3 - 2*y**2 - 3*y - 4. Let u(c) = 3*b(c) - 2*h(c). Calculate u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - 2\/9. Let d(j) = j**3 + 6*j**2 - 5*j - 28. Let o be d(-6). Put k, 7, o in descending order.\nAnswer: 7, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682150?\nAnswer: 2, 5, 17, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25938 and 3498.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3169499, 6338996, 9508493, 12677990, 15847487?\nAnswer: 19016984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.273 + 0.073. Let l = s + 71.3. What is l rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 9 (b) -0.48 (c) -5 (d) 1\/2 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -844 + 1699. Suppose 155*b - 158*b = -r. Suppose 0 = z - 5*g - 0*g - 137, -g = 2*z - b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 604 + 2?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3107559 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 8*a - 4. Suppose h + a*h = -20. Do 1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3590, 3434, 3276, 3116, 2954, 2790?\n\"Answer: -a**2 - 153*a + 3744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -52. Suppose 19*d - 1817 - 2173 = 0. Calculate the highest common divisor of d and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 8*b**2 - 257*b - 3 + 0 + 255*b as u*b**2 + j*b + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -556 - -756. Does 76 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15832949 or 15832950?\nAnswer: 15832949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.12175 from -0.1.\nAnswer: -3.22175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 19*i + 11*i + 22*i + 18*i - 91*i - 3.\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17*z**2 + 15*z + 32. Let m(a) = -4*a**2 + 4*a + 8. Let g(b) = -2*i(b) + 9*m(b). Factor g(l).\nAnswer: -2*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m + 1. Let c = 2 - m. Let a(q) = 3*q - 4. Let l be a(3). Solve -c - 1 = -l*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.3. Let q = -76 + 138. Let j = -62.2 + q. What is the nearest to 1 in j, d, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -183d205c?\nAnswer: -183d205b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -12416, 1\/3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)\/(v\/(v\/((v\/v**(5\/4))\/v)))*v**(-18)\/(v*v**(-2\/3)))**(-30) assuming v is positive.\nAnswer: v**(965\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -7*x**3 + 3*x**2 + 21. Find the second derivative of j(n) wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132313 (base 5) to base 9.\nAnswer: 7275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 - 16*m + 60. Determine y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 19*s**2 - 2*s. Let g(l) = 3553*l. Calculate o(g(b)).\nAnswer: 239852371*b**2 - 7106*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*i - 36 + 42 - 6)*(-1 + 7 + 5)*(-i**2 + 4*i**2 + 2*i**2 + (5 + 0 - 4)*(5*i**2 + 0*i**2 - 4*i**2)).\nAnswer: 8580*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 835251931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120922013?\nAnswer: 3, 17, 607, 36209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**6\/24 - 3*g**5\/4 + 7*g**4\/8 + 1290. Find u such that f(u) = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + u. Let p be (3 - u)\/(4\/(-10)). Put -2, -3, p in descending order.\nAnswer: -2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 176 = 36. Let q = 38 - s. Suppose -q*l - 34 = 4*w - 150, 0 = 2*l + 4*w - 84. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1089623*a + 246. Let t be n(2). What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - -5*(-12)\/(-10). Suppose -4*p = -46 - 2. Let w = s + p. What is the least common multiple of w and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2 + 3098582*c - 2400302602681 = 0.\nAnswer: 1549291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381*o**4 - 816*o**2 + 6261495 wrt o.\nAnswer: 1524*o**3 - 1632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (sqrt(176) + 2 - sqrt(176)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-4))\/((-8)\/64). Let i = g + 35. Let a be ((-5)\/(-10))\/(i\/(-8)). Calculate the highest common factor of 28 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**5 - 8*n**3\/3 + 4. Find the third derivative of x(m) wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 2*i - 130, -2*i - 4*g + 130 = 0. Which is greater: i or 55?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10093 = -8*g + 7355. Let x be (1700\/(-66))\/(4\/g). Let n = x + 14040. What is the common denominator of 73\/26 and n?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/553 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-126))\/(((-14)\/1386*-11)\/((-77)\/1155))?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 549\/4 - 136. What is the closest to -2\/7 in -2\/107, z, 2\/5?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 9 = -4133*c + 4130*c, 0 = 3*c - 170*w - 498 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.58219 and -0.4?\nAnswer: -0.232876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154120 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iid. Give prob of sequence iii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 3 - 13 - 6*q + 5 + 6.\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z - 16*z - 15*z**2 + (2*z + 0 + 0)*(-3756 - 20343*z + 20341*z + 831) to the form j + n*z**2 + r*z and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 199580753 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83935*h + 84002*h + 2546 = 0 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12*(-11)\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 492 + -303. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210 - 2*m**3 + 2*m**2 - 180*m + 359*m - 179*m in the form i*m**3 + y*m**2 + t + r*m and give t.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**3 - 1. Let p be s(-1). Let t(i) = -2 + i**2 - 2*i**2 - 6 + p*i. Let c be t(6). Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47433619?\nAnswer: 47433619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 22*y + 40. Let w be -1*((-8)\/24 - (-46)\/(-6)). Is 8 a factor of p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/8)\/((561\/(-68))\/(-33)). Sort -4, b, -277 in descending order.\nAnswer: b, -4, -277","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542773, 2171080, 4884919, 8684290?\nAnswer: 13569193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 7781, -2\/3, -1\/6, -0.5 in decreasing order.\nAnswer: 7781, 3, 2, -1\/6, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-10 + 3 + 10 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 37 = 31. Suppose b*j - 2*l - 96 = 0, -5*j - 60 + 292 = -l. Suppose 41*v = j*v - 490. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2959 + 5532. Calculate the highest common divisor of 372 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/4 - 13*q**3\/3 + 19*q**2\/2 - 49*q - 118. Suppose 2*u + 95 = 7*u. What is the remainder when m(12) is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.018 + -2.418. What is l rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 8*b - 5. Let t be z(-9). Let v = 3 + t. What is the smallest common multiple of 11 and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1488 and 72.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4265*t + 3*t**2 - 903 + 3772*t - 8937*t = 0.\nAnswer: -1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -16131\nAnswer: -6452.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/12 + 7\/(-1265). Let x = 5527\/1265 + c. Let d = 17112\/7 - 2451. What is the common denominator of d and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/10)*p)\/p)**(20\/11)*(p*p**23)\/p*p\/(((p**17*p)\/p)\/p))**38 assuming p is positive.\nAnswer: p**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.5, 4, -51, 2861, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggmvvwegcmvc. Give prob of picking 3 v and 1 c.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*f + 55 = 0, -3 = 4*f - 23. Let g(u) = 2*u**2 + 5*u + 2. Let n be g(-4). What are the prime factors of (-2384)\/(-56) + l\/n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*y - 3*j = 376*y - 20, 4*y + j - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -10*v + 75. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + 4 - (5 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*w*w\/(w**(-26)*w)*(w*w**(3\/8))\/(w\/(((w\/w**(3\/5))\/w)\/w)) assuming w is positive.\nAnswer: w**(791\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431400 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 9, r: 7}. What is prob of picking 3 e?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249388 or 249390?\nAnswer: 249388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 15*r + 4. Let s be a(-8). Suppose -3 = t, -3*l - 3*t = 2 + 1. Suppose k - s = -l*k. Solve -k = -2*h + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -3. Calculate the lowest common multiple of p and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 10) to base 5.\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -283*y**2 + 584*y**2 - 287*y**2. Let r(x) = 234*x. Determine m(r(u)).\nAnswer: 766584*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*c - 12*c. Let i(o) = 2 - 2 + 4 + c*o - 5. What is i(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76271.13 to the nearest 100.\nAnswer: -76300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 4*2\/8. Find the second derivative of z*t - 12*t - 7*t**4 + 19*t wrt t.\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.01, 7277, -1\/3, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 0 + -1 + 0. Let f be 1\/(-11 - 84\/(-8)). Sort i, -6, 2, f in descending order.\nAnswer: 2, i, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/396)\/((-2)\/(-3 - -4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + i = -j + 236, -5*i = -20. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 5 + -15 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.9966908 to zero dps.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 759\/(-10) + -1 + 4. Let o be 9129\/135 + (-2)\/3. Let d = o + r. Calculate the common denominator of d and -17\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180403*c**3*h - 92*c**3 + 2*c**2*h + 3078*c**2 - 60*c wrt c.\nAnswer: 1082418*h - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and 50850.525?\nAnswer: 50850.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -696, -13, 3, 0, -2 in descending order.\nAnswer: 3, 0, -2, -13, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 29 - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (4 + 0)) + 0 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 656 = 3*t, 5*t - 5*l = -4*l - 1080. Let v = t + 223. Which is the second biggest value? (a) 3 (b) 4\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/4)\/(10\/8). Let t be 4 - (0\/(-1))\/3. Let f be (t + 0 + -8)*(-1)\/2. Is i less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1902534897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240 - -242. Let p(j) = -28*j**o + 36*j**2 + 58*j**2. Let m(y) = -2*y**2. Calculate p(m(k)).\nAnswer: 264*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 459 + -459. Let x(z) = -3*z**3 - z**2 + 1. Let t be 2 - 2 - (-1 - 0). Let s be x(t). Sort s, u, 5 in increasing order.\nAnswer: s, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7053.085 + -7079. Let n = 26.03 + -0.03. Let p = a + n. Round p to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 29*c - 15*c - 16*c. Let d(h) = 12*h**2. What is d(y(i))?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 2064*z + 16264. Determine v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**6 + 2010*h**5 + h**4 + 7*h**2 + 7*h - 2.\nAnswer: 240*h**3 + 120600*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = j + 3*j + 5*l, 20 = -4*j + 2*l. Let h = j - -4. Let t(f) = f**2 + 1. What is the units digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43735 and -5?\nAnswer: 218675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 47670 divided by 7945\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5960 - -6009. Sort -1, 5, -15, h.\nAnswer: -15, -1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180.497 + -14.363. What is h rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/79))**39)**(-3\/25) assuming c is positive.\nAnswer: c**(-9477\/1975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*q + 468*q = 1332*q - 76024 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -4\/7, -13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -92. Let i be (-6)\/(-27) - 33\/l. Put 4, 0, i in descending order.\nAnswer: 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/27*10\/4*(-1180)\/2950?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 11*j**2 - 2*j + 11. Calculate x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**3 - w)*(-w**2 + 5*w**2 - 5*w**2) - 306*w**5 - 364*w**5 + 29*w**5.\nAnswer: -639*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:05 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 661117.9t in grams?\nAnswer: 661117900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 131.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -137751 greater than -139212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 344?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290757 is divided by 161?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45551369 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24*k + 17 = -21*k, -5*d + 20 = 2*k. Solve 0 = -d*b - 366 + 378 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*j**3 + 3485*j**2 + 3452*j**2 - 6886*j**2.\nAnswer: -82*j**3 + 51*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13430413303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 23068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 334*p - 6859. What is u(84)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 288\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163*a**2*i**2*z + 192*i**2*z with respect to a.\nAnswer: 326*a*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 157*i**3 - 203*i**2 + 53*i + 102.\nAnswer: -(i + 1)**2*(i + 51)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.98688 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/8)\/12)\/((26\/28340)\/(5\/25)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**8\/336 - a**7\/105 - a**6\/120 + 3*a**2\/2 + 3. Let f(j) be the second derivative of u(j). Find g, given that f(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143661 is divided by 2111?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppn when three letters picked without replacement from {l: 1, n: 3, p: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 32322957?\nAnswer: 32322957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-92) - 284960\/12604?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 - 1395\/8. Let w be ((-155)\/21 - -7) + 6\/21. What is the closest to -1 in z, w, 3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.6 to zero dps.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*j = -5*d + 943*j + 2, -3*d - 36 = 10*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c**2 + 18*c**2 + 528*c - 528*c - 35*c**2.\nAnswer: -46*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**4*s)\/(s\/((s**(-3)\/s*s*s)\/s))*s*((s\/((s*s*s**(-1\/3)*s)\/s))\/s)\/s*(s**4*s)\/s*s*s**5*s**(2\/5)*(s*s**(-1))**30 assuming s is positive.\nAnswer: s**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1795 - 1796. Let n be 4\/2 - 2\/1. Let r be (3 - (-20 - n))\/(0 - w). Which is smaller: r or 24?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4968 by -6.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j*j**(6\/7)*(j\/j**(22\/3))**(-8))**(-13) assuming j is positive.\nAnswer: j**(-14339\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3093 and -6253.\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 62?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1115\/9 - -2) + 8\/72?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001000101 - -1?\nAnswer: 1011001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102 times -0.5?\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -56614 (base 9) to base 4\nAnswer: -21030232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24400 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6821005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -582*l**5 + 14*l**3 - l**2 - 2*l + 5222?\nAnswer: -34920*l**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1313*m + 10494. What is the remainder when l(7) is divided by 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67560610 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u + 4. Let q(w) = -17 + 1 + 56*w - 5. Let g(a) = 4*q(a) + 21*z(a). Let t(j) = -j. Calculate t(g(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-2))\/(12\/(-24)). Let b = 17 + y. Solve 26 - 5 = 2*l - 5*d, -3*l - 4*d = b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 968411619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/1)\/((-1)\/4). Let t be ((-6)\/4)\/((-15)\/v). Suppose 0 = 2*r - t*r + 10. Calculate the remainder when 14 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*1282\nAnswer: -12.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402286 and 4?\nAnswer: 804572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 35*x**2 - 4*x - 136. Let z be b(-35). Let v = -8 - -10. Solve -5*j - h = h + z, v*h = -4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70357668.\nAnswer: 2, 3, 5863139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2817 and 12548796.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7396 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1636\/105 + 110\/7. Let j = 29271 + -29272. What is the third biggest value in j, -1\/2, -4, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/30 - 77*o**4\/2 + 920*o**3\/3 - 8068*o**2. Factor y(m).\nAnswer: 2*(m - 460)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -12. What is the remainder when b is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206.42*0.2.\nAnswer: 41.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 - 9\/(-1). Suppose -w = -5*w + c. Let m be (-4)\/20 + w\/10. Solve -5*s + 4*l + 37 = 0, 2*l + m*l - 19 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/7)\/(y**(-1\/12)*y) assuming y is positive.\nAnswer: y**(-113\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6276*((-238)\/(-28) + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (7\/4 - (-6)\/(-3)) + 1147899\/124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwfwgwfflffwg. What is prob of picking 1 g, 1 w, and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44857009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.124 + -0.014. Let t = i + 0.137923. What is t rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1120 and 15 + 101 + (0 - 4).\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 7*v**2 + 8*v - 12. Let l be d(6). Suppose -3*x - 2*s + 11 = l, -3*x + 5*s = 6*s - 10. What is the remainder when 3 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by -195189.\nAnswer: 71\/195189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 30 = 5*s, 4 - 12 = -2*s + 2*d. Let j be (-254)\/(-4) + s\/18. Is 2 + j + (-1 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 47*b**2 - 40*b + 46. List the prime factors of o(-44).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4, 1\/6, 8\/17, -1, 2\/15, 1\/3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 1276085*i**2 + 81668547675*i - 31737611872395.\nAnswer: 5*(i - 127413)**2*(i - 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 36*n + 260 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.238*1.3\nAnswer: -0.3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/(w*(w\/(w\/(w*w*w**10*w)))\/w*w*w*w) assuming w is positive.\nAnswer: w**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/(-77) - 3 - (1 - 3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13 - 45*s + 3 + 1. Let u = -25 + 22. What is the remainder when c(u) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 52*l - 14 + 34 - 20 - 57*l. Let f(q) = 214*q. Determine b(f(w)).\nAnswer: -1070*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703 = -2*j + 4157. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31759868 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(756) - (sqrt(756) - (sqrt(756) - sqrt(756)*-1))) + sqrt(756))*-3*-6)\/((sqrt(144) + sqrt(144)*4 - sqrt(144) - sqrt(144))\/sqrt(12)*-6))**2.\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:47 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (79 + 1)*(-3)\/(-6). Suppose -2*k + f = 3*g + 1, k - 12 = -g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31910400 to the nearest one hundred thousand.\nAnswer: -31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - 0.37. Let v be ((-13)\/6 - -2)*2. What is the smallest value in 1\/4, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152536.\nAnswer: 2, 23, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773836123?\nAnswer: 3, 137, 1549, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.05111 * -5\nAnswer: 0.25555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -68 + 0\/(0 - 1). Let q = 114 + l. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k - 11*k**3 + 4*k + 31 + 31*k**2 - 6*k**2. Let q(c) = -5*c**3 + 12*c**2 + 10*c + 15. Let u(j) = -6*l(j) + 13*q(j). Give u(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 0, 0 = -2*j + 4*v + 1 + 17. Let c be (5\/10)\/(1\/(-10)). Sort 1, c, j in descending order.\nAnswer: 1, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.05 + 4.75. Let q = -1 + 0. What is the smallest value in 0.4, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31386, -62782, -94178, -125574, -156970, -188366?\n\"Answer: -31396*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/5*(-5)\/2. Suppose u*i - 25 = 23. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -3*g**5\/10 - g**4\/6 + 2*g**3\/3 - g**2\/2 + 2*g - 21. Let v(w) = 11*w**3 + 4*w**2 - 7*w + 2. Determine -4*v(p) - 7*x(p).\nAnswer: -2*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvh. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2365 - 151403\/64. Find the common denominator of v and ((-2)\/(-2))\/((-24)\/146).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11425429403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45 - -1*1\/1. Let j = l - 33. Let o = j + -4. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 27 = -3*r, 36*r + 36 = -5*d + 40*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 25 - 15)*(-v**2 + v**2 - v**2).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*q + q. Suppose -q = -3*c, -3*c - 15 = -5*t + 52. Suppose 3*v - 16 = 4*v - 5*f, -f + t = v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i = 20. Suppose i*c - 2*c = 13000000. What is c rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 8:09 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -32943 <= -823548\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26688 - 779*f - 26688 + 0 + 0 - f - 2*f - f + 5*f + 3*f - f + 0*f + (2 + 1 - 2)*(f + 0*f + 0*f) + f - 2*f + 2*f - 4*f + 3*f + 3*f)*(-2 - 4 + 2).\nAnswer: 3088*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-6)*y*y))\/y**(-3\/5))**(-38) assuming y is positive.\nAnswer: y**(-1064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 136 = 29*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + c - 51 + 217 = 0, -2*c - 162 = 5*g. Let n = 56 + g. Calculate the greatest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 - 7 = -7*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 185 (b) -1 (c) -3 (d) 0.1 (e) -0.0226 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11370357.\nAnswer: 3, 1263373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48954 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15819 bigger than -15820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 416.9035 meters?\nAnswer: 416903500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 152. Suppose -93 = -o + 2*v, -2*v = -3*o + r + 199. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*h + 52, -4*z - 1118 - 89 + 48 = 49*h + 217 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 8 - 7 - (-1 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1863*z**2 + 973.\nAnswer: 3726*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11211660 divided by 622870?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -504 + 271. Let z = k + 238. Let w be (-2)\/((-1)\/6*-2). Which is the fourth smallest value? (a) -0.4 (b) w (c) z (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 4*z - 1. Suppose -3 = 2*i - 3*i. Let j be x(i). Suppose j*p - 3*g = 13, 3*p + g = -3*g + 11. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-315)\/(-75) - (-6)\/(-30). Let d(i) be the first derivative of 0*i**r + 0*i + 1 + 2\/3*i**3 + i**5 + 0*i**2. Find the third derivative of d(h) wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f**3 - 1907*f**2 - 103*f - 22163. Calculate q(-106).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:07 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2060*u**2 - 1463*u + 1463*u to s*u**2 + c + y*u and give s.\nAnswer: -2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 894?\nAnswer: -49\/894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 120, 116, 124, 150, 200, 280, 396, 554?\n\"Answer: c**3 - 11*c + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 7*r - 11. Let j be z(-5). Let v(x) = -x + 2. Let p(w) = w - 2. What is j*v(k) + 3*p(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32044*v + 32521*v - 21942 = 0 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 4, b: 3, n: 4, t: 2, h: 3}. Give prob of sequence thb.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 399637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmtwhhrwrhrhrwwrwmtt. Give prob of sequence rrrw.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:45 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1579, 6382, 14375, 25558, 39931?\n\"Answer: 1595*i**2 + 18*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/50 and (34 + -11)*(-2)\/(-20).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 16, 4*w + w + 3*q = -2. Let b(l) be the third derivative of -13\/16*l**4 + 0*l + 0 + 3\/2*l**3 - 20*l**w - 1\/8*l**5. Suppose b(y) = 0. What is y?\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2. Let u(v) = 8*v**3 - 39*v**2 - v - 26. Let t be u(5). Let r(w) = -11*w**2 - w. What is t*r(o) + 13*i(o)?\nAnswer: o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/360 - g**5\/40 - g**4\/6 - g**3\/2 + 3*g**2. Let f(m) be the first derivative of d(m). Suppose v - 3*v + 8 = 0. Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-11808)*-24*(-3)\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-18))\/(2\/24). Solve -4*m = 5*l - 32, 0*m - 3*m - q*l + 17 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*b - 429 - 220 = 0, -3*m + 488 = 2*b. Let g be 0 + (-167 + 1)\/(-2). Calculate the highest common divisor of m and g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 + 127. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*m = -p + 59, -m = 2*p - 37. Suppose -6*f + 3*f + 5*l + p = 0, 4*f = 4*l + 36. Suppose -3*u + 30 + f = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -10*y - 1311. Which is smaller: y or -678\/5?\nAnswer: -678\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 61*j**2 - 14*j. Let y(f) = 124*f**2 - 31*f. Calculate 7*b(w) - 3*y(w).\nAnswer: 55*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*z**3 - 130*z**3 + 1661*z + 69*z**3 + (2*z - 1 + 1)*(0 + 0 + z**2) to the form k*z + r + j*z**2 + f*z**3 and give k.\nAnswer: 1661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 48. What is f(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -51, -111, -193?\n\"Answer: -11*p**2 - 5*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 8}. Give prob of sequence hh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64026 is divided by 674.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2 (c) 1\/3 (d) -2 (e) 9.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*i - 0*t - t, 5*i - 95 = 5*t. Is 84\/5 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 6. Let o(v) = -v. Calculate o(p(a)).\nAnswer: -4*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/8755 + -145337\/35020. Let b = -215045\/22 + 9772. What is the common denominator of b and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.3? (a) 1\/4 (b) -29 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -9 + 151*-107. Is (w\/(-7) - -1) + (-26)\/91 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1619 - 1612. Calculate the highest common divisor of 770 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 387?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210, 13, 378, 879, 1510?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 20. What is the remainder when 57 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -337*g + 9377. Calculate s(26).\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*185\/(-999).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r**2 - 5*r + 6. Let j(a) = -a + 1. Let i(v) = f(v) - j(v). Let o(s) = -s**2. Let m(c) = -i(c) + 5*o(c). Is m(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 0, 1, -6 in increasing order.\nAnswer: -6, -5, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 0*g + g. Let r(o) = 8*o**2 + 2*o**2 - 9*o**2. Calculate r(n(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjx when three letters picked without replacement from pzxjppxjaazazxpppzj.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/48*(-1 - -7). Let k be 312\/24 + 18\/(-2). Solve k*z + 11 = -a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-27)*h**(-3\/5) assuming h is positive.\nAnswer: h**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.84 + 810.84. Let v = l + -809.999999202. What is v rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/4, 0.5, 4, -18, 22803 in descending order.\nAnswer: 22803, 4, 0.5, -1\/4, -2\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**3*q**3 + 7*l**3 - 51*l*q**5 + q**2 wrt q?\nAnswer: 42*l**3 - 3060*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13.7, -1\/5, -30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2035 - -16043?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 110802?\nAnswer: 44320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 - 2*u**4 + 5*u**4 + (-2 + 4 - 5)*(3*u**4 + 3*u**4 - 3*u**4) to the form x*u**2 + o*u**4 + q + p*u**3 + d*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 22*g**2 - 262*g - 24 = 0.\nAnswer: -1\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2382 + 894 - 1440)*(-2*l + 2 - 2).\nAnswer: -5856*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/13 - -5\/52. Let m = -0.1 - -0.7. Let x = m - 5.6. Which is the third smallest value? (a) x (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjqqjqq. Give prob of picking 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 2*n + 2*n - n + 2 - 12*n**3. Let h be l(2). Is ((-1)\/(-2))\/((-3)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -20*u + 81. Find the second derivative of 30*l**u + 378*l - 22*l**3 - 413*l wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 2*f + 4*o, -2*f - 54556 = 2*o - 54536 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.32 (b) 0.3 (c) 2\/49 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4289?\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33812100 rounded to the nearest 100000?\nAnswer: 33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -9, -0.05, -3\/4, 1\/4, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**4 + 77*d**2 - 3*d**3 + 3*d**4 - 197*d**2 - d**4 to k + x*d**3 + b*d + t*d**4 + c*d**2 and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 3924?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29358?\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1\/4 (b) -2 (c) -0.3 (d) 0.115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 39790?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = 317*x + 3437 + 7400 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**2 - 20*q**3 + 19*q**3 - 13*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, -1, 273, -3.\nAnswer: -4, -3, -1, 1\/2, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606543 - 2.\nAnswer: 606541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 4*z = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and 57853.\nAnswer: 57846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 575773, 1151543, 1727313, 2303083?\n\"Answer: 575770*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007918 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -280 + 16. Let h = l + 25. Is (-2)\/(-4) - 28372\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.72 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 349 - 189. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**0\/q))\/q)**10)**(-2\/51)\/((q\/(q*q\/(q\/q**(-6))))\/(q\/(q*q**(-1\/10)\/q))*((q**5\/q)\/q)\/q**(-4)) assuming q is positive.\nAnswer: q**(-6269\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 200103\/917 and 217 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 746 + 0?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 750, 0.3, 14045, -1\/4?\nAnswer: 750","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445 - 6395 = 238*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 + 119. Is -118 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7017, 7106, 7197, 7290, 7385, 7482, 7581?\n\"Answer: d**2 + 86*d + 6930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386925 + 4*d + 386925.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 10, -0.36, 6\/337 in increasing order.\nAnswer: -0.36, -0.02, 6\/337, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - 146. What is the remainder when (-3120)\/(-91) + t\/7 - 4 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/7)\/(5 + -6)*-70. Calculate the greatest common divisor of y and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8945 + 8943. Let u = 3 - -67. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2603942.\nAnswer: 2, 11, 118361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-8 - 8)) + -26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 2607\nAnswer: 782.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 300\/(5\/(-5)). Let u = w + -161. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 14 = -5*b + 49, 617*b + 24 = 619*b - x for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 4*f + 12 = 0, s = -4*f - 14. Suppose -s*p + 7 = -4*p + 3*g, 5*g = -5*p - 5. Let z be p\/5 - (-22)\/5. Solve -y - z = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*h - 4 = -27, 0 = 5*f - h - 17. Suppose -38*q + 9 = -35*q. Solve -f = 4*z, i + q*i + 3*z - 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861658?\nAnswer: 2, 7, 61547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 - 2)\/(-2))\/3. Suppose 3*s - 2*s - 51 = u. Suppose 5*n - 145 = -5*k, -5*n + 0*n - 3*k = -155. Calculate the highest common divisor of s and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z + 180. Suppose 0*h - z = 3*h. Let k = h - -34. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 24.97, 0.5, -93\/2, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204597*x + 873*x**3 - 204597*x - 857*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4298, -15984, -35384, -62498, -97326?\n\"Answer: -3857*k**2 - 115*k - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -392, -401, -410?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -14 - 18 - (-1 + -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 16*s + 3. Let y be a(-16). Suppose 2 - 10 = -2*w. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -27. Suppose 5*w = -2*w + 14. Solve w*r + f = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Let h = s - -9. Suppose 0 = 3*p - 0 - 15. Calculate the remainder when h is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -25719463?\nAnswer: 2\/25719463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 180759.6285 rounded to the nearest 10?\nAnswer: 180760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 1463, 422 in increasing order.\nAnswer: -3, 1, 422, 1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -9*f**2 + f**3 + 1\/12*f**4 + 0 + 0*f. What is the derivative of i(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86764 - 41789. What are the prime factors of n?\nAnswer: 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) -1\/3 (c) 14367 (d) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2577245 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4, -1, -0.7, -25.6, -10?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(-1)*2. Let w = -0.4 - -1.4. What is the nearest to 1 in 0.3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5 + 0)\/(77\/(-55)). What is the closest to -1\/2 in 5, -0.07, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.13 and -111?\nAnswer: -2789.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-4*f - 7 + 7 + (-5*f + 2*f + 5*f)*(-3 + 2 + 2) + 0*f + 3*f - 2*f)*(1 + 3 - 3).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 48. Suppose -2*f + 24 = -4*l, -g - 3 = -2*f + l. Let z = 115 + -109. What is the lowest common multiple of f and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 2*n**2 + 24*n - 6. Determine j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34589380 is divided by 180153.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 637 + -72. List the prime factors of o.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a - 23*a - 58*a**2.\nAnswer: -58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:32 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 6*h - 1440 = -78*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 3 - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 68 - (-2 - (-6 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/2 - 2354\/214?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 + 3*a**3\/2 + 3*a**2\/2 + a. Let v(s) = -s + 1. Let r(w) = -k(w) - 3*v(w). Let p = 144 - 138. What is r(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 7*z**2 - 5*z + 4. Let b(i) = 2*i**3 + 6*i**2 + 4*i - 3. What is -5*b(h) - 4*t(h)?\nAnswer: 2*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 66 - 32*t + 22*t + 12*t + t**2 in the form w*t**2 + q*t + f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-2*-6)\/sqrt(8))\/(-6*(sqrt(24)*2)\/sqrt(6))*-2 + -4.\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 1. Suppose 11 = 2*y + 1. Suppose -y*g = 5*x - 2*g - 22, 5*g + 30 = 5*x. Let v be o(x). What is the greatest common divisor of 60 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9894.8 rounded to the nearest one hundred?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -159377603.53 to the nearest 100000.\nAnswer: -159400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 11:23 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*b + 830*b - 1593*b + 0 - 4.\nAnswer: -1515*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 37706.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/8 - -1) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.61 + -0.61. Which is the fourth biggest value? (a) -5 (b) -63 (c) o (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6291603 or -6291604?\nAnswer: -6291603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 0, 4, 12, 24?\n\"Answer: 2*n**2 - 6*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*i + 40 + 168 + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41980721 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(-3*r + 4*r + r + r - 4*r + 2*r + (-11 + 19 + 37)*(-2 + 2 - 2*r)) in the form w + h*r and give h.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3}. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-7 + 10 - 7)) + 0 + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 3944 (c) 0.4 (d) -13 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 47*u - 338. Calculate c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4570, 18240, 41024, 72922, 113934, 164060?\nAnswer: 223300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 14. Differentiate 5 + 2*m**3 - 7*m**3 + v*m**3 with respect to m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - 0. Suppose 0 = 4*d - 2*z + 108, 0*d - 4*z + 108 = -4*d. Let j = d - i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 10229989\/33. What is t rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -371, -336, -309, -296, -303, -336, -401?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1002111 + 3?\nAnswer: -1002104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prrr when four letters picked without replacement from {l: 2, m: 1, r: 3, p: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1330 and 7\/10070.\nAnswer: 70490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 705.\nAnswer: 352.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - (-322)\/(-532). Which is the smallest value? (a) -3 (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 350*a**2 + 625*a - 31. Calculate w(-2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(396)*-3*-1*-3 - (-3 + -3*(sqrt(396) + 0)))**2*-4.\nAnswer: -57063 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - 5*f + 14 = 0, 10 = 5*f. Suppose 60 = m*d + 11*d. Let 2*k + 3*k + 2*k + d*k**2 + 25 - 22 = 0. What is k?\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 2. Let i = -1 - y. Factor 0*l + 0 - 1\/3*l**2 - 1\/3*l**5 + 1\/3*l**i + 1\/3*l**3.\nAnswer: -l**2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16904975741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253596 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750871574?\nAnswer: 2, 4703, 79829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + (-32)\/6. Let i(s) = 3*s + 2. Let x(z) = z + 1. Let b(t) = 2*i(t) - 5*x(t). Let c(w) = 6*w - 6. What is f*b(m) + c(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 31. Let d = f - -65\/7. Factor d*k**3 + 2\/7*k**2 + 0*k + 0.\nAnswer: 2*k**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 3:11 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -85744 (base 11) to base 14\nAnswer: -33618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(-1)*(-9)\/((-666)\/259)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*w + 1577 - 1237 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 49*l**6\/600 - 7*l**5\/50 + l**4\/10 + l**3\/3 + 3. Let o(z) be the third derivative of f(z). Find i such that o(i) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + 13*t**4\/8 + 167*t**3\/6 - 5*t**2 + t. Is v(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47322 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*p - 3*x - 26, -3*p = 3*x - 30. What is the remainder when 26 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29074804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*m + 5*m = -27, 2*m = -2. Suppose 0 = 2*j + j - g. Suppose j*a - 3*a - 8 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-136)\/10 - 6\/(-10). Let p be g\/(-8) - 1\/4. What are the prime factors of 292*(1 + p + (-45)\/18)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8735 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = 4*l + 3*o, -14*l + 16*l - 2*o = -232. Let q = -44 - l. Calculate the remainder when q is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - -1 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - -6*-2*sqrt(152) - sqrt(152)))\/(sqrt(8) - sqrt(40)\/(sqrt(5) - sqrt(45))).\nAnswer: -22*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -231, -226, -207, -168, -103, -6, 129?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10343 - -100325?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 0)*-4)**2 - (-2 + sqrt(68))*6.\nAnswer: -12*sqrt(17) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345779999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -91, -64, -11, 80, 221?\n\"Answer: 2*z**3 + z**2 + 10*z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 31 - 46 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Suppose i + 6 = s*i. Let p = i - -1. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.61 - 3.89. Let h = 4.1 + r. Let w = -4 + 4. Which is the closest to 3? (a) h (b) 3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4152489696510 + z**3 + 4152489696510.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keelklqael. Give prob of sequence kl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 66 = -163 - 59 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p - 14. Let h be x(-2). Let y = -4 - 0. Sort h, y, 2.\nAnswer: y, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x**3 + 11 + 15*x + 10*x**2 + x**2 - 15*x. Suppose 0 = -7*i - 25 + 102. Let y(z) = 5*z**3 - 4*z**2 - 4. Give i*y(s) + 4*l(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + 0 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/120 + o**5\/15 + o**3\/2 - 8*o**2 - 13. Let v(j) be the second derivative of a(j). Calculate v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2715059\/673170 - -2\/22439. Let h = -18014 - -324145\/18. Calculate the common denominator of h and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i - 2. Let m be (2 - 9\/6)*6. What is the units digit of x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26274.99998612 - 26275. Round b to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1409, -5457, -12203, -21647, -33789, -48629?\n\"Answer: -1349*q**2 - q - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 4*g = 4*k + 2*g + 2, 26*k - 4*g + 20 + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -647\/2 + 318. What is the closest to d in -4, 0.5, 4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 33*d**3 - 4*d + 1. Let z(i) = -129*i**3 + 15*i - 4. Determine -9*n(s) - 2*z(s).\nAnswer: -39*s**3 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 20900*a**2 + 45767384*a + 47895107664.\nAnswer: 2*(a - 5606)**2*(a + 762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(7\/5)*v)*v**(-6))\/(v**(-2\/23)*v**(3\/7)\/v))**37 assuming v is positive.\nAnswer: v**(-230584\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30)\/(31\/(-217))*5\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 821.134km?\nAnswer: 821134000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11*290\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**2 + 3*h + 982. Let d(u) = 13*u**2 + 2*u + 654. Calculate 7*b(l) - 10*d(l).\nAnswer: 10*l**2 + l + 334","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -288884 divided by 4?\nAnswer: -72221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41932\/7 + 5990. What is the closest to r in 7, -75, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((-6)\/(-15)*-1). Let c = j - 22. Calculate the greatest common factor of c and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 z be 178\/5 + (-22)\/(-55). Let m(i) = 53*i**2 - 11*i - 13. Let w be m(-7). Is (-24)\/z*w\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -275.80047 to zero decimal places.\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23178487 at least 23178435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 5*i - 10 = 0. Suppose -i*p - 4 + 84 = 0. What is the lowest common multiple of p and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14829 - 420*n**2 + 15111*n - 12706 - 8811 + 3*n**3 + 7780.\nAnswer: 3*(n - 69)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, 0.2, -468?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*v - 3492*v**2 + 3030*v**2 - 13 + 3914*v**2 + 10*v + 3648*v**2 wrt v.\nAnswer: 14200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 11:56 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*n = -84*n + 21629 - 6185 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -5*z - 13\/70*z**5 + 1\/49*z**7 - 1\/7*z**4 + 4\/105*z**6 - 8\/7*z**2 + 0 + 20\/21*z**3. Determine d so that p(d) = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 243*f**4\/8 - 83*f**3\/4 + f**2\/2 + 27*f - 6. Factor p(x).\nAnswer: (3*x - 1)*(243*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14*(-56)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + v)*(0*v + 3*v - 2*v + (-3 - 2 + 4)*(-1 + 1 - 2*v) - v + 4*v - v - v + 8 - 8) as q*v**2 + l*v + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13185 + 3511. Let k(y) = -4214*y + 20. Let f be k(-6). Suppose f = -c - m. Round c to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 47*d**2 + 11\/40*d**6 + 0 - 1\/60*d**5 + 0*d**4 + 0*d + 3\/2*d**3. Find the third derivative of i(q) wrt q.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -21, -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10306314?\nAnswer: 2, 3, 572573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 0.2 (c) 0 (d) 0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 904\/10 + 4\/(-10). What is the highest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27285 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19 - 1)*12\/(-16). Suppose 5*b = -5*l + 15 + m, 0 = -l - 4*b + 6. Let n = l + 42. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*a - 68*a + 136*a)*(-a + 2*a - 3*a).\nAnswer: -82*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.312735 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 + 5316408*q\/5.\nAnswer: -4*q*(q - 1329102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 20?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 2*t**2 + 4*t + 3. Let v be j(-3). Let x(k) = k**2 + 16*k - 32. Is x(v) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6541.792 millilitres in litres?\nAnswer: 6.541792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 6:09 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 219*r**2 - 21*r + 36. Calculate x(1).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5*-9*(-5)\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (78\/208 + (-306206)\/80)*-5?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 4*m - 12, 0 = v - 122*m + 126*m + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38491*w**2 - 39067*w**2 + 77551*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217790?\nAnswer: 2, 5, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7350 divided by -350\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3109491 to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13534990 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 21 = 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {g: 12, r: 1, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v - 12*g - 20 = -47*v, -5*g = 2*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 300\/(-15) + (1 - 1)\/(-1). Let t(l) = -l**2 + 4*l + 1. Let i(k) = k**2 + 8*k - 5. Let a be i(-9). Let f be t(a). Sort z, f, 2 in ascending order.\nAnswer: z, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476745061 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*u + 8, 0*h + 19 = 2*h + 3*u. Suppose h*l = 6*l. Solve -o - 19 + 6 = 3*n, -3*n + 3*o + 3 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(18) - sqrt(1458)*4)\/(sqrt(45)\/(sqrt(5)*-1)).\nAnswer: 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 160158, 0.2, 3, 5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 9*l**2 + 9*l - 12. Calculate a(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6047 - 9812 + 5534 = 295*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1501*c**2. Let r(m) = -26*m**2. Let o(u) = -57*r(u) - s(u). Let a(v) = 550*v**2. Determine 6*a(b) + 175*o(b).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17534 is divided by 120?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*(-2)\/(-6)*24?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:10 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -42. Suppose c*h + 322 = -h. Which is smaller: h or -45?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2060 and 12?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24860 and 2166662.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.91 + 1.2. What is c rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + w**3 + 2*w)*(33 + 22 - 7) + w - w**2 + 3 + 0*w**3 - w**3 + 2*w**2 to t*w**3 + r*w + g*w**2 + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 11*y - 35. Let g be t(-14). Solve 0 = g*f - 3*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 9. Let y be q(-6). Suppose h + y*h = 8. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 0.4 (b) 5 (c) 0.2 (d) 3 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 484137 and 3645?\nAnswer: 21786165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -96, -99, -102, -105, -108?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/75)\/(((-64)\/(-10))\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -0.5 (c) -1\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*k - 115*k + 74*k)*(2 - 6 + 2)*(2*k**3 - 5*k**3 + 5*k**3).\nAnswer: 356*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4069?\nAnswer: 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 + 653. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520) - (sqrt(520)*-2 + sqrt(520)))\/sqrt(10) + sqrt(52).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 19339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + (0 - -1) + (-68 - -62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v - 720 = -22*v. Let m be (0 + (-46)\/8)*-36. Let o = v + m. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 60, 109, 160, 207, 244?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890*r + 901*r = 110. What is the remainder when 317 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3762*x = 5770*x - 281*x - 46255 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from {z: 4, g: 3, j: 3, q: 8, r: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353298*m**6 + 4*m**2 + 19056.\nAnswer: -42395760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9411392048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 5*a - 2*a - 23 + 2*a. What is the remainder when 115 is divided by p(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*t - 550*t + 2 - 606*t**2.\nAnswer: -606*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1106325 (base 7) to base 9\nAnswer: 227436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - l**2 + 31*l - 7*l - 11*l - l**4 - 10*l - 16*l as f + u*l**3 + t*l**2 + v*l**4 + y*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 16*s**2 + 22*s + 22. Calculate the remainder when b(-13) is divided by 53.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58869, 6, -26 in decreasing order.\nAnswer: 58869, 6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((2*sqrt(171) + sqrt(171) + -3 + -3)**2 + ((sqrt(171) + 2*sqrt(171))*-3 + 0)**2) + -5.\nAnswer: -1080*sqrt(19) + 154255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/151 or 1?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 9. Suppose -5*z - 4*t = -2*z + 264, 0 = 2*z - 3*t + 159. Let q be z\/15 - 4\/10. What is the units digit of a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 3*p**5\/20 - 14*p**4\/3 - 8*p**3\/3 + 17*p**2\/2 + p - 107. What is the remainder when a(19) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*q - 37. Let p(h) = 12*h**2 + 3*h - 4. Calculate the remainder when p(-2) is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*l + 487 = 502 + 925. Solve -5*b + v = l + 7, -2*b + v - 5 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1993*v - 82*v + 798*v + 907*v as q*v + n and give q.\nAnswer: 3616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -138327030?\nAnswer: -138327033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, -4, -27, -48, -61, -60?\n\"Answer: y**3 - 8*y**2 - 2*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19200 and 2400.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.95 + -0.05. Let j be (15 + 171\/(-12))\/((-42)\/32). What is the nearest to 0 in j, -5, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*d**2 - 3*d + 5*d + 98 - 8*d**3 - 11*d**3 - 159.\nAnswer: -19*d**3 + 64*d**2 + 2*d - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363 - -463465?\nAnswer: 464161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 at least as big as -262966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1023.166 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2925956 and 5?\nAnswer: 14629780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 118473, 236966, 355459, 473952, 592445, 710938?\n\"Answer: 118493*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3170*l + 4084*l - 482*l + 2 to the form x*l + o and give x.\nAnswer: 6772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 418, 17, 4, 10, 2 in decreasing order.\nAnswer: 418, 17, 10, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-47 - -58) - ((-6 - -25) + 6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4178 - 438686\/105. Let n = -58\/315 - s. Which is the second biggest value? (a) n (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, f: 5, s: 3}. What is prob of picking 2 r and 2 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218, 222, 226, 230, 234?\n\"Answer: 4*r + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) + 102\/14. Suppose -3*v = 2*u - 15, 0 = u + 2*u + 9. Is x at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Suppose 0 = 3*t - 0*f - o*f + 18, 0 = -3*f + 6. Let a(h) = 83 + 74 - 157 + h. Calculate a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - -3*(sqrt(85) + sqrt(85)*-1 - sqrt(85)))\/((sqrt(275)\/sqrt(5))\/sqrt(11))*5*4.\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4821260 is divided by 4821259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.025, 13, 868 in ascending order.\nAnswer: -0.025, 13, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (52 - (-12 + 31)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = x + i, -3400*x = -3404*x + 2*i + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 35. Let f be 381\/(-12) - (-4)\/u. Let g = 75 + f. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d. Let u(g) be the second derivative of -5*g**4\/12 - 13*g. What is u(p(b))?\nAnswer: -125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2732016581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4896)*2)\/(sqrt(2) + -2*sqrt(242)).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148*-2774170.\nAnswer: 410577160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 10:57 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-2)\/3)*-6. Suppose 4*h = -2*o + 3*h + 8, -q*o + h + 16 = 0. Suppose 0 = 2*l - x - 1 - 3, 5*l = o*x + 4. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 10676622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10678 - 28845 = -15*j + 57448. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 82*t. Let g(s) = -517*s**2. Determine g(d(r)).\nAnswer: -3476308*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*b - 1 - 1 + 2.\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12983\/1998 - -2\/999. What is the common denominator of z and (-34)\/38 + 0 + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 6. Let y be n(-5). Let k = 16 - y. What is the greatest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 180 = -60. What is the greatest common divisor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 449*a**2 + 8*a + 1. Let q(c) = -c. Determine q(d(u)).\nAnswer: -449*u**2 - 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14)*6)\/((-216)\/(-336)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l + 2)*(15871*l - 7945*l - 7536*l).\nAnswer: -390*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**2 + 5*f - 2. Let d(j) = 21*j**2 + 10*j - 6. Give 5*a(m) - 2*d(m).\nAnswer: 13*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(4\/3)*x)\/x**(2\/43))\/(x**0)**(2\/7) assuming x is positive.\nAnswer: x**(80\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*u + 317*u = -340. What is the highest common divisor of 493 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 + -317.395. Let a = g - -4.3. What is a rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3668 - 3667.996989. What is b rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11328 = 15*g - 7*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 301*d**2 + 63*d. Let z be r(-7). Suppose -z + 3628 = -4*a. What is a rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 2557 - 1359 = 0. List the prime factors of j.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 - 2*s**2 + 9*s**2 + 7*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*o - 21, 7*o = -4*l + 2*o - 8. Solve l*v - 7 + 4 = -3*w, v = -3*w + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(15*x + 138 - 138)*(-4 - 2 + 15) as w*x + s and give w.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131318 or -1114?\nAnswer: -1114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -142, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 95\/(-10) - (-3)\/2. Let h be (-2)\/5 - q\/(-30). Which is the closest to -4? (a) -0.1 (b) 3\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1954 and 41\/5144906.\nAnswer: 5026573162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (6 + -4) - -13 - (7 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5589057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1210*g - 166 + 166 - 1232*g in the form p + c*g and give c.\nAnswer: -2442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 988 (base 11) to base 10\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -799? (a) -1\/5 (b) 3\/4 (c) 0.054 (d) 0 (e) 0.7 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Suppose -24 + 80 = n*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/((b*((b**4\/b)\/b)\/b)\/b))**(-9\/4) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -80374976 divided by -1067?\nAnswer: 75328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 + 6*x + 3. Suppose -7*g + 4*g + 6 = 0. Suppose g*t + 12 = -m, -3*m = 2*m - 5*t. What is the units digit of s(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 + 111 - (-20)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -151, -1\/10, 1, 1.1, 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -56 (b) -10381 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4600.5 and 10.\nAnswer: -46005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133932726?\nAnswer: 2, 3, 23, 323509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326184967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*d**4*v + 365419*d**4 + 3*d**2*v + 4*d**2 - 131964*d*v wrt d.\nAnswer: -336*d*v + 8770056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.9 times 4?\nAnswer: 2675.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14019 is divided by 122.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606539.\nAnswer: 3, 11, 89, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9425 + -9388 - (-3 + -15)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 391, 246, 13, -308, -717, -1214?\n\"Answer: -44*v**2 - 13*v + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1 + 2\/(-2). Let c be (1 - 2\/4)*k. Suppose 3 + 1 = t. What is the biggest value in t, c, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 1036*c**3 + 269357*c**2 - 534578*c.\nAnswer: c*(c - 517)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 3. Let j be 8\/((-96)\/18)*76\/(-3). Let u(b) = 84 - 39 - j - 6*b. What is 14*l(i) + 6*u(i)?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 14) in base 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -33506?\nAnswer: -33509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2 - 9*f + 6*f**6 - 4*f**2 + 9*f wrt f.\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429142259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.455 + 3.405. What is b rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 30 - 7*b - 11*b + 13*b to the form c*b + w and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630833700 rounded to the nearest 1000000?\nAnswer: 631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*d**3*s + 14*d**3 + 3354*d**2*s wrt d?\nAnswer: 504*s + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 564 - 138 = 0. Calculate the smallest common multiple of f and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85440529?\nAnswer: 1747, 48907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 2662?\nAnswer: 50578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 - 77 = -190*x + 83 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-32)*8\/(-11)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*p + 5 = i - 177*p, -i - 4 = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + s + 4)*(-s + 0*s + 0*s) + 2*s**2 + 2*s**2 - 2*s**2 - 5*s**2 + 8 - 8.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1136 + 777. Let l = 583 + c. Let q be 64\/112 + 6\/l*2. Is q less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -18, -28, -38, -48, -58?\n\"Answer: -10*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312715*z**3 + 7*z**2 + 7665?\nAnswer: -1876290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h**4 + 10*h**4 - 34*h**4)*(2 - 1 - 3).\nAnswer: 74*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppwpwp. Give prob of picking 2 w.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -29, 66, 251, 556, 1011, 1646?\n\"Answer: 5*j**3 - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.2 + -13.1. Let w = -0.5 + 0.71. Is w greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 750, 5, -5.\nAnswer: -5, 5, 44, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14008 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 6, q: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2622077777?\nAnswer: 11, 238370707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 904293*w**3 - 115393*w + 4.\nAnswer: 5425758*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*g = 2*g - 4, 14 = -p + 2*g. Let a(r) = -6*r + 8. Let s(d) = -2*d + 3. Let w(c) = -5*a(c) + 16*s(c). What is the tens digit of w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6)\/5580*-60?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8) + 9 - (1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -77*r**2 - 49*r - 6. Let g(p) = 154*p**2 + 97*p + 14. Let n(o) = -7*f(o) - 3*g(o). What is the second derivative of n(t) wrt t?\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 + -2 - 0) + -36 + 100 + -79 + 26\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2. Let j(i) = 2*i**2 - 9. Give x(j(b)).\nAnswer: 12*b**4 - 108*b**2 + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242491 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*s = 92079, -10694 = -r - 4*s + 12331. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 3*n. Suppose -n*a + 3*a + 24 = 0. Calculate the smallest common multiple of 22 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 + 6*c**2 - 21. Let k(b) = -9*b**3 - 13*b**2 + 44. Calculate -2*k(l) - 5*z(l).\nAnswer: -2*l**3 - 4*l**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/47 - 1\/141. Which is the nearest to 10? (a) 0.3 (b) -3 (c) -0.3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396471 + 396471 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -39660 - 1731*f + 39660 as p + y*f and give y.\nAnswer: -1731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 517+3.194534206\nAnswer: 520.194534206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.27? (a) 5 (b) -2 (c) -15 (d) 17\/12 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(10\/5)\/4)\/((45\/5)\/882)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 10*r - 6417*r**2 + 3202*r**2 + 3217*r**2 in the form d + i*r + z*r**2 and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57862922 to the power of 1\/2, to the nearest integer?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 7*f**2 - 2*f + 14. Let l be m(7). Suppose l = 26*h - 27*h + 4. Suppose -h*o - 6*t + 8 = -10*t, 30 = 5*o + 5*t. Solve 0 = -o*u + u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-18) - (-1)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23380.16895 to the nearest 100.\nAnswer: -23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/40 and 77\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + s**2 + 0*s + 0*s)*(0 + 0 + 2*s**3) + 30*s**5 - 60*s**5 - 143*s**5.\nAnswer: -171*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -800 or -799?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25 - 14) + -15 - 22) + 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13553*l + 27164*l - 13611*l + 10*l**3 - 88*l**3.\nAnswer: -78*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1169.604 and 3.\nAnswer: 1172.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l - 283 = y, 22*l - 25*l - 26 = 5*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25)*(-45)\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14183.\nAnswer: 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/41, -2, -10, 0.2, 27\/4?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 40, 50, 78, 130?\n\"Answer: g**3 - 9*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, 4, 210, 506, 892?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3104640 and -29\/792?\nAnswer: 3104640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 4*m**3\/3 - 2*m**2 + 123. Let k be z(2). Let n(f) = 2*f - 3*f + 4 + 2. Calculate n(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (638\/(-580))\/(33\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/374 and 35\/272.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*b + 1745, -341*r + 337*r - 3*b - 1705 = 0. What is the closest to 0.1 in -2, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1. Let c(t) = 5*t + 9. Determine c(p) + 3*l(p).\nAnswer: 5*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -83, -159, -275, -443, -675, -983, -1379?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + 0*j**4 - j**4)*(1 - 1 + j) - 52*j**4 + 52*j**4 + 465*j**5 + (-4*j + j + 4*j)*(-5*j**2 + 4*j**2 + 3*j**2)*(2*j**2 - 1 + 4*j**2 - 5*j**2).\nAnswer: 469*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 757, 1135, 1513?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0*f**2 + 0*f**5 + 0*f**6 - 23\/42*f**7 - 22*f + 0*f**3 + 4\/3*f**4 + 0. Find the third derivative of u(o) wrt o.\nAnswer: -1380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 68, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.82226 to one dp.\nAnswer: -154.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**3 + 272*o**2 - 29*o + 8780. Calculate p(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeeex. Give prob of sequence exx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -172*n + 177*n. Solve -v + 14 = -n*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*f + 89*f + 3*f**4 + (3*f**4 - 2*f + 2*f)*(3 + 2 - 4) + 6*f**4 + 3*f**4 - 2*f**4 to g + i*f + r*f**4 + n*f**3 + x*f**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-142)*(438\/366 + (-2 - -1)). Is z >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360756700405*q + 360756700405*q - 4*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 5*r**6\/6 + r**5 - 5*r**4\/4 - 5*r**3\/3 + 70. Suppose x(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7 + 8 - 23 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:51 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:42 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 288 - 2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179918787 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18056 is divided by 18047?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801994576.\nAnswer: 2, 131, 382631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Suppose -q - 488 = -5*q. Suppose q*v - 126*v = -4. Let p(i) = 2*i + 2. Give v*p(t) + u(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268348172, 268348165, 268348154, 268348139, 268348120?\nAnswer: 268348097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/420 and 22\/135?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3539, 13811, 30803, 54515, 84947, 122099, 165971?\n\"Answer: 3360*n**2 + 192*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -162362*g - 76463 wrt g?\nAnswer: -162362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326\/7 - -47. Let y = -222.6 + 224.6. What is the smallest value in i, y, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*4*3\/(-4)*(-2)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 218*u**5 - 1093*u**4 - 3037*u**3 + 42*u**2 = 0.\nAnswer: -2, 0, 3\/218, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 3.20105. What is d rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000316803 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (59103\/(-39))\/(-3) - (-20)\/(-130) and 15.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/35 (b) -1\/3 (c) -4 (d) -1 (e) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 7*g**2 + g - 4. Let w(z) = 5*z**2 + 2*z - 1. Let b be w(1). List the prime factors of v(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1277408.3 days to weeks.\nAnswer: 182486.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4, 24, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from {j: 2, i: 4, w: 3, c: 6}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = 7. Solve 3 = 4*v - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let c(d) = -16098*d. What is c(b(y))?\nAnswer: 32196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 4. Let a(i) be the second derivative of -11*i**4\/12 - 9*i**2\/2 + 6*i. Let m(o) = 4*a(o) - 9*u(o). Let k(s) = -2*s**2. What is k(m(p))?\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 4. Let y be i(-2). Factor 5*z**2 - 3*z**2 - 2 + y*z**2 - 2*z**2.\nAnswer: 2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 500.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2501 * -3.\nAnswer: -7503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 1908*q**5 + 7511*q - 7582. Find the first derivative of o(v) wrt v.\nAnswer: 38160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -11 (b) 0.3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636063991 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 126 - 41 - 138 + 2*c - 90.\nAnswer: 2*c - 556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s + 3*f + 3, -3*f - 22 = -5*s. Let m(u) = 8*u**3 - 15*u**2 + u + 1. Let n be m(2). Solve -20 = -s*p + 4*w, -5*p - n = -3*w - 29 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + 4 + 42\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c**(9\/11)*c)\/c)*c)\/(c*c\/(c\/(c*c**(-2\/21)*c))))**33 assuming c is positive.\nAnswer: c**(-167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*t - 282*t - 1107*t**2 + 1104*t**2 + 192*t.\nAnswer: -3*t**2 - 432*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*j + 15 = 0. Let n be 15\/j - (-19)\/(-14)*-2. Let t = 0.7 + -0.2. Which is the second biggest value? (a) n (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-936)\/1785 + (-23372)\/(-40901).\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1950*r + 646*r + 652*r + 651*r - 5. What is w(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n - 33. Let v(s) = -2*s + 8. Let q(p) = -14*v(p) - 3*z(p). Suppose 0 = 30*o - 33*o. What is q(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8757 divided by 63?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 22. Suppose 0 = 2*h + h - a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/6)*o)**(-19) assuming o is positive.\nAnswer: o**(-209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.7832 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:06 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*q = -3, 3 = -2*m - 5*q - 0*q. What is the units digit of (3 - (m - -2)) + (6 - -241)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(882)*6 - sqrt(18) - -4*sqrt(18)*2).\nAnswer: 2 + 147*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lilllfifillfilllll. Give prob of picking 2 f, 1 l, and 1 i.\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -69*i**2. Let v(a) = -902*a. Give y(v(m)).\nAnswer: -56138676*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 + 4*o + 6. Give c(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250 - 325. Let s be 612750015\/x - (-2)\/10. Round s to the nearest one hundred thousand.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 9933 = -32*v. Suppose 7*d - v = -14*d. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -27*s**3\/4 + 843*s**2\/4 - 438*s + 87 = 0.\nAnswer: 2\/9, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.767 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) - -2*sqrt(980)*4)\/(sqrt(4) + sqrt(32)\/((-2*sqrt(8) - sqrt(8)) + sqrt(8)) - (sqrt(4) + sqrt(64) + sqrt(4))*-5))**2.\nAnswer: 79380\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*k, -2*b = -k + 40. Let y = -9 - -34. Let x = b + y. Calculate the least common multiple of x and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1965800*-0.2.\nAnswer: 393160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1149*g**2*l + 66013*g**2 + 2*g*l + 30*l wrt l.\nAnswer: 1149*g**2 + 2*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x - 20. Let a be r(0). Let c be ((-4)\/(-8) - 3)*a. Suppose 0*b = -3*b - 2*z + 50, 2*b = 2*z + c. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:23 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*i + 138*i - 246*i - 1.\nAnswer: 28*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*l*v**2 - f**3*l*v + 18530*f**3*l + 8*f**2*l*v + 4123*f**2*v**2 - 7*v**2 wrt v.\nAnswer: -6*f**3*l + 8246*f**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9ee - 27da?\nAnswer: -1cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 10415 = 10383 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-21)\/(-35)))\/((-200)\/1680)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-15) - (-4)\/10. Let v be ((-1)\/(-2))\/(r\/2). Let g be v + 1\/(2\/(-2)). Solve -4*z = -g*z - p - 7, -3*z + 2*p = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:18 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 18. Let f be (-1 - -2 - 9)*20\/v. Let s(y) = y + 14. Let d be s(f). Solve -d*w + w = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -11 (c) -393 (d) -1\/3 (e) 1\/5 (f) -2 (g) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 6. What is r(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*w = 25, -4*q + 5*w = -19 + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33705551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4654 - -12090. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(3 + 1) - 3. Is (-172 - (-3)\/n)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264 (base 16) in base 9?\nAnswer: -6411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2968.22 take away -182268?\nAnswer: 179299.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318852?\nAnswer: 2, 53, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1067728 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:33 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 22 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*g - 154315, -191474 = 7*g - u - 461569. Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8167, -16361, -24557, -32755, -40955?\n\"Answer: -f**2 - 8191*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(110\/(-4))*9\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 112012102211?\nAnswer: 112012102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 + 4*x - 3. Let r(h) = -2*h**3 + 5*h**2 - 3*h + 2. Determine -2*m(n) - 3*r(n).\nAnswer: 4*n**3 - 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/77 and -67\/154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + h - 5 - 3, -3*h = -2*l - 8. Suppose 4 + l = -2*y, 5*v = -y + 42. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 0 - (-709)\/6. Let s = 105 - i. Calculate the common denominator of s and -23\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 14?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = r + 12, 2*p - 4 = 4*r + 4. Suppose 2*x + p = 0, -x = -z - 0*x + 42. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 528 - -221. List the prime factors of y.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/120 + g**5\/12 - 5*g**4\/24 + 3*g**2\/2 + 9*g - 7. Let p(i) be the first derivative of v(i). Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 2. Let f(y) = -y + 2. Calculate 2*d(u) + 3*f(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130223311220 - -1?\nAnswer: -130223311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-95)\/(-38).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 1. Let h = -1 + 2. Let g(d) = 30*d**2 + 23*d - 16. Let x(t) = 14*t**2 + 11*t - 8. Let w(u) = 6*g(u) - 13*x(u). Calculate h*w(s) + 5*l(s).\nAnswer: -2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 3. Let c be g(-3). Let n = -10 - c. Let z be (0*(-2)\/n)\/2. Solve j = 3 - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 - 41*r**2 - 10*r + 45. Let l be j(-10). Calculate the greatest common divisor of l and 6723.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694783 is divided by 7466.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 - i**2 + 19. Let x(r) = 21*r**3 + 5*r**2 - 94. Determine -11*j(m) - 2*x(m).\nAnswer: 2*m**3 + m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -2*s**3\/3 - 5*s**2\/2 - s. What is the units digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9865 or 49329\/5?\nAnswer: 49329\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 3 - 13 + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1839240 (base 11) to base 14.\nAnswer: -5b18a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 7199 = -7455 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, v: 7}. Give prob of sequence vbvv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-4))\/(-18)*-1*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250585 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-2\/91)\/(a\/(a\/a**2)*a**7))**15 assuming a is positive.\nAnswer: a**(-12255\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5080268\/7 equal to -725753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from {u: 14, k: 1, x: 2}?\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1112690190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 22*l**2 + 22*l - 24. Let p be m(11). What is the greatest common divisor of 36 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1793580*z**2 + 1161458*z wrt z?\nAnswer: 3587160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*i**2)*(1 - 1 + 2*i + 1 + i - 1 + (4*i + 3*i - 5*i)*(0 + 3 - 1))*(8 + 2 + 2 - 3 + 1 + 1 + (-1 + 2 - 3)*(1 - 1 - 1))*(-37 + 75 - 34).\nAnswer: -728*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 218316 and 481832?\nAnswer: 232724856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441274513?\nAnswer: 41, 10762793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 0 + 1 + (-1276 - -1233)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 143*i**2 - 111*i + 8. Let a be c(-21). Suppose -k + 9*l = 14*l - 21794, 3*k - 5*l - a = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3440 - 987. Let i be -1 - -1 - 1539\/1. Let l = u + i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/7)\/((-2)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 15 + 15*p**2 - 3*p**2 + 2*p**3 + 2*p**2 + p. Let k be r(-14). Let u = -4 + 3. Is u != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 3*x - 11. Suppose 5 = -3*o + 17. Let n = -2 - -6. Let q(d) = n + d**2 - 7*d + 7*d - d. Calculate o*s(l) + 11*q(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - 141587.\nAnswer: -141635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34131396 divided by 17212.\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((-10)\/((-160)\/18))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 205 = -4*k. Let q = 42 - k. Calculate the lowest common multiple of 21\/1 + 1\/q and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.37 - 9.27. Let t(n) = n**2 + n + 22. Let k be t(0). Do v and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -1257)*(-20)\/8 - 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 0)*-1 - -4. Which is bigger: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from oznrxizrixxoozz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*((sqrt(204)\/(-4*sqrt(60)\/sqrt(5)))**2 - (-3 + -1 + sqrt(1377))).\nAnswer: -81\/2 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 0*c - 4*c - 2*c**2 + (1319 - 52*c - 1319)*(c - 11*c + c).\nAnswer: 466*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 609036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68744 divided by -661.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24393?\nAnswer: 3, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146491 is divided by 229296.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljdddndjlnjkllndld. What is prob of picking 1 k and 2 n?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*j**2*m**3*y - 4*j**2*m**2*y + 3*j**2*m - 37*j*m**3*y + 22*j*m*y - 35*m**3 + 183*m**2*y wrt m.\nAnswer: 108*j**2*y - 222*j*y - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13213611 (base 9) in base 2?\nAnswer: 11000110100000010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 53*z**2 - 11)*(4 - 2 - 3)*(1 - 2 + 2)*(5*z - 5*z + z).\nAnswer: 53*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9323.6 and 76.\nAnswer: -708593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*u - 4 + 29*u + 33*u - 106*u.\nAnswer: 12*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/1680 + i**6\/120 + i**5\/20 - 2*i**4\/3 + 5*i**2. Let a(q) be the second derivative of h(q). Solve a(y) = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 - 76 = -14*q. Suppose 6*y + q = 48. Which is the third biggest value? (a) 4 (b) 0.09 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**4 + 7*c**3 + 7*c**2 - 19*c - 12. Let w(y) = 16*y**4 - 36*y**3 - 38*y**2 + 96*y + 60. Let q(p) = -11*v(p) - 2*w(p). Solve q(a) = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, 3, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 2. Let x(u) = -19*u + 13. Let n(s) = 39*r(s) + 6*x(s). Let j be n(-1). List the prime factors of (60\/(-36))\/(1\/j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 2*l**2 + 3*l + 2. Let m be t(-2). Suppose 0 = 8*u - 554 + 122. Suppose m*q - 2*q = u. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 13*z = 360. Calculate the smallest common multiple of 21 and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.012, 5 in increasing order.\nAnswer: -1.012, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 2*a - 1. Let v be m(-4). Let b be (v - 1)*(-1)\/(-1). Suppose -4*l = 3*c - 53, 2*c + 34 = b*c - 2*l. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 11*w**2 - 18*w + 29. Let b be q(-14). Suppose l = 12*l - b. Let y = l + -159\/2. Is -2.9 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1399 = 2*d, -3*x + 3*d + 944 + 451 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 23861*i + 381682. What is a(-16)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -3\/4, -4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 566, 578, 604, 650, 722, 826, 968?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94439145 is divided by 3246?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -16*m**2 + 93*m + 4. Let f(a) = 13*a**2 + a - 2. Calculate -3*f(u) - r(u).\nAnswer: -23*u**2 - 96*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/5)\/((-26)\/15223). Let z = p - 756. List the prime factors of z.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26447, -26171, -25909, -25667, -25451, -25267?\n\"Answer: -p**3 - p**2 + 286*p - 26731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00337769 rounded to six dps?\nAnswer: 0.003378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 40. Let j be y(13). What is the common denominator of -1 + (3 - (-534)\/j) and -53\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/40*(-2 - 30\/(-9)). Suppose -3 + 1 = -b. Let k be ((b + -1)*-1)\/1. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1808*q + 30862. Calculate w(-17).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4 = q. Let k be 62296\/780 - (26\/30 + -1). Suppose l + q*l = k. 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: Find the first derivative of -7*f**2*x**3 + 637496*f*u*x + u*x**3 + 32232*u*x**2 - u + 3*x wrt f.\nAnswer: -14*f*x**3 + 637496*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -472613\nAnswer: -472613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-2) - 1627)*43\/(-258)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -40. Let x be (-24)\/m*6\/(18\/3405). What are the prime factors of x\/(-108) - 4\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1389, -2656, -3913, -5154, -6373, -7564, -8721?\n\"Answer: g**3 - g**2 - 1271*g - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 3*f**2 + 3*f - 2. Let t be y(-4). Suppose -6*r + 25 = -r. Suppose -i + r*u - 4 = -4*i, t*i = -4*u + 2. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.05103368 rounded to three decimal places?\nAnswer: 2.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 - -23 - 4\/(-6)*-3. Let a = x + -8. What is the remainder when 110 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*1*sqrt(132)*2)\/(sqrt(432)*-2 + (sqrt(1200) + (sqrt(1200) - 2*sqrt(1200)) - sqrt(12)) + sqrt(12)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113802 (base 10) to base 13.\nAnswer: -3ca50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 + 51 + 29*y + y + 35 in the form v + j*y and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + -52 + (25 - (23 + 3)) + 7\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 28 - 23)*(5*q + 6*q - 31*q).\nAnswer: -160*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-4157.\nAnswer: -24942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2 + 0 + f.\nAnswer: f - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -331?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (-3*sqrt(99)*2)**2 + sqrt(99) + sqrt(99) + -1 + 0 + 4)*3.\nAnswer: 18*sqrt(11) + 10701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*a = 1 - 26, -7 = -5*o + a. Suppose -10 = -o*y, 3*y + 10 = -5*x + 7*y. Suppose -x*b + 5*b - 6 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2276911*k - 2276906*k - 5, 0 = -a + 2*k - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - f - 9077 = 0, 2*z - 5*f - 2293 = z. Let r be (-2)\/(-9) + 21\/(z\/1752). Which is bigger: r or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 57\/8?\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 8, b: 2, j: 1, c: 1}. Give prob of sequence ekc.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/36 - (-53)\/4. Let q = 15 + -13. Let a be (-1)\/(q*(-3)\/18). Solve a*z - s = 4*l, z + 5*l = -z - 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2580*u - 1436?\nAnswer: 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 - 15 = 0. Suppose -2*s = 2*n - 8, 0*n - 2*n + f*s + 36 = 0. Let y be ((-15)\/(-6))\/5*6. Sort y, n, 1\/4.\nAnswer: 1\/4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 2*v**2 + 3*v - 1. Let t be u(1). Suppose -12 = -7*f - t. Let c be (2\/6)\/(f\/(-15))*-3. Solve c = -4*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let l(w) = -635999*w - 3. Let x(y) = l(y) + 5*n(y). Let s be x(1). Let b be s\/(-12) - 4\/(-16). What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133\/3 + 45. Let i = 4.9 + -5. Which is the closest to i? (a) -3\/4 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161 - 107. Calculate the remainder when m is divided by ((-855)\/(-360))\/(2\/16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 - 2*s - 3. Let o(z) = 5*z**2 - 3*z - 4. Let j(p) = 5*g(p) - 4*o(p). Suppose 8 + 8 = l. Calculate the remainder when l is divided by j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let o(u) = -u**3 - 3*u**2 + 8*u - 1. Let j be o(-5). Let f = 7 - j. Give q(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3584 - 5416. Which is the second biggest value? (a) -3 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -513 (base 16) to base 6\nAnswer: -10003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1422\/(-4)*197)\/((-5419)\/(-2)). Let i = 6332668449\/368492 + q. Let n = i + -17160. What is the common denominator of n and -41\/18?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 461*s - 5*s**2 - 267*s + 96*s - 4205.\nAnswer: -5*(s - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 9\/6)*14 is divided by 4*-2*(-1)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.31 - 6.4. Let t = 30 + -34. Which is the closest to -1\/3? (a) t (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2200386 and 900488.\nAnswer: 7262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/6 - 294695*d\/6 - 147347\/3 = 0 for d.\nAnswer: -294694, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) - 31\/(-3). Suppose -p + 3*p + 3*y - 3 = 0, 5*p = -5*y + g. Suppose -p*t = 3*b - 0*t + 6, -5*t - 14 = b. Is b at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/13)\/(13*42\/3549)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2)\/(-4))\/((-36)\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26156628 divided by 1453146?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*r - 39. Let g be (-8)\/18*(-6552)\/112. Let h = r - g. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j**4 + 1\/60*j**5 - 32*j**2 + 0 + 0*j + 0*j**3. Let v = 7 - 9. Calculate g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 91\/20632?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -158*d + 157*d. Let o = 8 - 4. Suppose -5*t + v = 0, 4*v - 3*v = -o*t. Solve t = y - d*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 1860?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 + p**3 - 3*p**3 + (2 - p**2 - 2)*(5*p - 5*p - 5*p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12 and 11\/1698.\nAnswer: 3396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3057 rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (1 - -1) + (0 - 26)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7741 minus -16.98636983?\nAnswer: 21.76046983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = k - 6*k + 2587, k - v - 521 = 0. Let m = -140 + k. Solve m*z**4 - 22*z + 108*z**3 + 216*z**5 - 5 + 13 - 2*z - 86*z**2 = 0 for z.\nAnswer: -1, -2\/3, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 0.2, -5, 2\/337?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 16*j**2 - 20*j + 52. Let x be o(17). Let w be 1\/((-4)\/(-10))*-2. Sort w, x, -1, -2 in ascending order.\nAnswer: w, -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -1256. Suppose -q + t - 298 = q, -3*t = 2*q + b. Let n = q - -442. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.63 + -24.63. Let n = -5 + -1. Which is the third smallest value? (a) n (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*y + 86*y + 847 - 846)*(4 - 1 + 0).\nAnswer: 576*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.3 - 7.9. Let b(i) = -3 + 4*i + 1 - i**2 + i. Let h be b(4). Is n greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -221 (b) -2.05 (c) 3\/2 (d) -11 (e) 5 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531 by -1290.\nAnswer: -177\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 2, j: 5, g: 8, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 18*s + 14. Let r be h(-12). Suppose -r = 4*o - 5*o. Suppose -3*n + 157 = -o. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*d + 119, 4*d = 2*m + m + 96. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 7*k**2 - 34*k + 167. Let z be o(6). Are 2\/2021 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 1 - 7. Let b be 0 + 4*(4 - q). What is the remainder when 26 is divided by b\/(-12)*27\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and 7\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -16*u + 18. Let k(v) be the third derivative of v**5\/60 - 5*v**4\/12 - v**3\/2 + 2*v**2 - 4. What is k(u)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(4) + (sqrt(4) - (sqrt(4) + (2*sqrt(4) + sqrt(4) - sqrt(4)))))*3)\/((1*sqrt(42))\/sqrt(6) - sqrt(28)\/sqrt(16)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 c when three letters picked without replacement from {r: 3, c: 1, y: 1, a: 3, w: 1, t: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 15. Let c = p - 2. What is the derivative of 3 - 4 - 3 + 14*l**c wrt l?\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 4*k**2 - 2*k**2)*(0*k + 3*k - 2*k) + (2 - k**2 - 2)*(k + 2*k - k) - 15*k + 15*k + 12*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4, -5*r + 0*r + 18 = 2*x. Suppose -x*g = d - 66, 5*d - 35 - 55 = -5*g. What is the remainder when 37 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**3 + 10. Let l(w) = w**3 - 1 - 2447*w**2 + 2447*w**2. Let f(b) = 2*b - 1. Let c be f(1). Calculate c*s(x) + 10*l(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2008 + -1951. What is the fifth biggest value in 1, 1\/4, 2, m, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 42*o - 1. Let k be b(2). Suppose -5*m = -4*m - k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 2 (b) -4 (c) 2\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -853 - -1430. Suppose a*l - 576*l = 141. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**9\/60480 - b**7\/5040 + b**6\/80 - b**5\/30 - b**2. Let v(h) be the third derivative of q(h). Let k = -3 + 3. Determine v(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, x: 2, i: 10, d: 1}. Give prob of picking 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*f = 25, -3*f - 12 = -g + 13. Calculate the remainder when (-1*9)\/(237\/(-1896)) is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2755.2303 and -3415?\nAnswer: 659.7697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8242134 rounded to the nearest ten thousand?\nAnswer: 8240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5535327254 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175492*n**2 - 342569*n**2 + 176761*n**2 to j*n + u + d*n**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbboobbvov. What is prob of sequence vobv?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2283244, 4566504, 6849764?\n\"Answer: 2283260*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7650\/(-1836))\/(20\/(-48))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(11))**2 + (sqrt(11) - (sqrt(176) + 1)**2) + (sqrt(66) + (sqrt(66) + sqrt(66)*-2)*5 + sqrt(66))\/sqrt(6))*-3.\nAnswer: 30*sqrt(11) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0187 and 0.09524.\nAnswer: 0.001780988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 1527*h - 55022. Determine r(37).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4, -18, -16, -11 in descending order.\nAnswer: 4, -3, -4, -11, -16, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -16790.\nAnswer: 3\/16790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451233 - -2354?\nAnswer: 454031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 35*y = -4*y + 828. What is the remainder when 7033 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116*b**2 - 4*b + 1 - 4*b**3 - 206*b**2 - 6*b**3.\nAnswer: -10*b**3 - 1322*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/(-510) + (-2104)\/(-30). Solve 31*w - v = 54 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 - 7*h - 2. Let b be q(4). Let u be b\/4 - ((-90189)\/2)\/11. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2665947, 5331894, 7997841, 10663788?\n\"Answer: 2665947*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -401400 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283159.5 decades in centuries?\nAnswer: 28315.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*y + 64732 = -4512*y + 230938 + 87641 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 28*a - 54. Let h be d(25). Let j = -11 + h. Solve -v - j = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8775.192 litres to millilitres.\nAnswer: 8775192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11732*a**3 + 11732*a**3 + 11731*a**3 - 35197*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 105*f**2 - 591*f - 3. Suppose -4*x = 4*z - 424, -5*x + 2*x = 5*z - 322. What is the remainder when x is divided by y(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18834937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 7*l**6\/120 - l**5\/30 - 29*l**3\/3 + 49*l**2 + 2*l. Differentiate i(d) wrt d.\nAnswer: 21*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -7 (c) -738\/211 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2.2. Let y = -2.6 - 0.4. Let z = -185\/24 - -22\/3. Sort a, y, z.\nAnswer: y, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 552 - 480. Let p(g) = 2*g**2 + 4*g + 2. Let x be p(-3). Calculate the greatest common divisor of k and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 2. Let l(y) = 21*y**2 + y - 9. Let o(m) = -6*h(m) + l(m). Find the second derivative of o(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let o(x) = -2*x + 1854981. Determine s(o(p)).\nAnswer: 6*p - 5564943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52578 divided by 18?\nAnswer: -2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 10*p + 7. Let i be q(6). Let d = i + -169. Let u be (-12)\/d + 4 + (-2)\/11. Let c(n) = -2*n + 1. Calculate c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 30*n + 12. Let h be z(-9). Calculate the common denominator of 225\/24 - (-1)\/(-1) and ((-4)\/12)\/((-4)\/h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 + (-2 - (-4 - 8)) + (-51 - -74)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.99, -47\/3, -0.3, 2\/11.\nAnswer: -47\/3, -1.99, -0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 83593 (base 10) to base 3\nAnswer: 11020200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 240 in 1, -1.61, 0.007?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + -14 + -13 + 20 - 1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2547173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13406 - -14041. List the prime factors of m.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -781, -3135, -7057, -12547, -19605, -28231, -38425?\nAnswer: -50187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l - 638237 = -4*u, -3 = -3*l. Suppose -11*q + u = -17*q. Let t = 77593 + q. Round t to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141251.485 + 1159.2\nAnswer: -140092.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39447 and 332621.\nAnswer: 26942301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**(2\/25)*x))**4 assuming x is positive.\nAnswer: x**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = -20. Let n = -3 + s. Calculate the remainder when 25 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (-1 + sqrt(1100)))*1 + 1)**2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 329973 + -117692. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5349, 5352, 5357, 5364?\n\"Answer: k**2 + 5348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -w - 3*w + 20, -2*w - 2*n + 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let p(q) = -1463952*q. Determine p(j(f)).\nAnswer: 1463952*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 96138301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - y - 23 = 2*y, 0 = q + 5*y + 29. Suppose 1111 - 13921 = 35*s. Let x = s - -368. Sort x, 3, q in descending order.\nAnswer: 3, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -35107*v**2\/2 - 37*v + 3. Let n = 1696 - 1687. Let f be t(n). What is f rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65791.43l?\nAnswer: 65791430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.76 + -0.24. Let b = -12 - a. Let t = -1 + b. What is the closest to -1\/4 in 2\/5, -9, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -242\/933 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -10*w**2 - 84*w + 3. List the prime factors of s(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7237800 - 360252 = 4*u. Let y be 3\/(-1) - u\/126. Let w = y + 13641. Calculate the common denominator of -131\/42 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7616.0374 - -7606. Round d to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -48. Suppose 3*h - y = -r, 2*h - 4*r - 7 - 1 = 0. Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3 - 4 - 3*v**2 + 0*v - v**2 - 6*v - 6*v. Let i(p) = p**2 + 4*p + 2. What is -2*a(x) - 7*i(x)?\nAnswer: x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78 - 90 - 59) + 54.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)**(-9\/5)*(x**(1\/8)*x)\/x**(-2\/7) assuming x is positive.\nAnswer: x**(2411\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:10 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 9) - ((-32 - -63) + 15 + -37).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 99 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/24 - 9*p**2\/2 - 7*p. Let g(k) be the first derivative of w(k). Let q(z) = -3*z. What is g(q(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -3\/22 (c) 0.2 (d) -374 (e) 2\/17 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -34842099 less than or equal to -34842099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/3 + 7)\/1. Let x be -2*(c - -1 - (1 - -1)). What is the remainder when (1 + x - 2)*(-2 + -7) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -84077.8089 to the nearest one hundred.\nAnswer: -84100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -0.57981.\nAnswer: 0.42019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**3 - 9*y + 9. Let c(x) = -2*x**3 + 2*x - 2. Let n(h) = -9*c(h) - 2*j(h). Let n(o) = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000544064185 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -788045*x**4 + 7721650*x**3 + 1580000*x**2 + 80000*x = 0. Calculate x.\nAnswer: -40\/397, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 2. Let y(c) = 3*c - 4. Let h(v) = -4*v + 5. Let d(s) = 4*h(s) + 5*y(s). Calculate k(d(z)).\nAnswer: -8*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - 9. Let l = z - -3. Suppose 3*m - 5 - 7 = l. Solve u - m = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0 (c) 1.21 (d) -11\/30 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 28 + 6. Let j = 13 + p. Let b = 402.8 + -403. What is the third biggest value in j, b, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -18535\/4, -80, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 84. What is the smallest value in n, -4, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - 8?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 - 2*w - 7. What is the units digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -156 (c) 565 (d) 2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + (37 - -16) + -50 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 253.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85800352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 68, 37.34, -1, 0 in decreasing order.\nAnswer: 68, 37.34, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34234.\nAnswer: 2, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 14*p = -18, 166*x + 5*p = 162*x - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 + 13*m - 162. Give x(8).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -71*k + 164. What is the least common multiple of 1022 and s(2)?\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 8*g + z = 4*g - 0*g + 3*z + 206, 0 = -2*z - 186 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 637732?\nAnswer: 40814848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 544*h - 701. What is b(-3)?\nAnswer: -2333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 1\/420*c**7 + 1\/300*c**6 + 0*c**3 + 0*c**2 + 0*c**4 + 0 + 32*c + 0*c**5. Suppose z(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2, 10961?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 6, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (422\/(-4))\/(-1) - (-28)\/56. Let n = l + -106. Is 11\/32 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 5*c + 80. Solve -g - 5 = -2*r, 0*g = 5*r - 4*g - c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 25*o**4\/4 - o**2 + o - 1. Let q(a) = a**3 + 2*a**2 - 20*a - 24. Let r be q(-5). What is the tens digit of v(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d - 1. Let t(q) = q**2 + 11*q - 1. Let p(k) = 3*t(k) + 2*u(k). Let c be p(-5). Solve c - 7 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119874127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.00631 or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 114. Suppose 0 = 20*d - 6 - q. Is d greater than 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 2*d**2 + 10*d + 9. Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.1076321 less than -0.42?\nAnswer: 90.6876321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19138848 and 9569424.\nAnswer: 19138848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8788*g**4 - 20956*g**3 + 17784*g**2 - 6480*g + 864.\nAnswer: 4*(g - 1)*(13*g - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * -8.2.\nAnswer: 959.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2059 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, 285, -85.\nAnswer: -85, -5, 22, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 7. Let l be h(5). Let n be (l\/2)\/(1\/(-2)). Suppose 0 = 3*w - 0 - n. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 19 - 5 - 109)*(-w - 2*w + w) as m*w + g and give m.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 = 29*h + 158 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkkeehchdhkehhkddd. Give prob of picking 1 c and 2 h.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 20*d**2 - 145*d + 120.\nAnswer: 5*(d - 3)*(d - 1)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -547 + -7c95?\nAnswer: -81dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 13318814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 47*d**2 - 2*d - 89. Let x be n(-47). Solve 6*w - x*w = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -7*s**5\/60 + 5*s**4\/24 - s**2. Let q(l) = -12*l - 3*l**2 + 37*l - 10*l - 13*l. Give -9*q(u) + 4*z(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by 4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - q**2 + 2*q - 2. Let h be w(3). Let i = 8 - 50. Let j = i - h. What is the remainder when 49 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = 4*h, -4*t - h - 1 - 1 = 0. Suppose -5*d + 5*n + 55 + 30 = t, 5*d = -5*n + 35. Suppose 0*c + d = 3*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 5. Let j be m(-3). Suppose 2*b = -2 + 4, -5*u - 527 = -j*b. Let f = 266 + u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24300 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiioeo. Give prob of sequence eo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:19 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6\/30*-15*(-943)\/1845.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 2 w when four letters picked without replacement from jrrxfwfjwwwwwrjwxy?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - 81. Suppose 4*x - 8*x - 4*j = -q, -2*x + 3 = -3*j. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -27. Let f(u) = -u**3 - 8*u**2 - 14*u - 39. What is the remainder when z is divided by f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -3.2818853.\nAnswer: -3.0818853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/70 + q**4\/12 - 13*q**3\/6 + 12*q**2. Let l(z) be the first derivative of t(z). Differentiate l(c) with respect to c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314075 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230)\/427 + ((-10240)\/(-280) - 36)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/25)\/(25\/(-75)). Sort -1, r, 1\/4, 5.2 in increasing order.\nAnswer: -1, 1\/4, r, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50872, 50869, 50866, 50863, 50860, 50857?\n\"Answer: -3*n + 50875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5603059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a + 40. Let h be f(-5). Solve -h = -3*z + r, -5*z - 20 = -9*z - 4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143296 to the nearest 100.\nAnswer: -143300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/458318 and -95\/2484566?\nAnswer: 47206754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -57 - -34) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 = 3*b + 2, -8 = 2*k + 2*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/119, 22, 2086 in ascending order.\nAnswer: -6\/119, 22, 2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(((sqrt(125) + 0)*-5)**2 - sqrt(125))*-1 + -4 + -5)*-6.\nAnswer: -18684 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9375\/833 + -183\/17. Let n = 3157645599\/392 - 8055227. Let t = z - n. Calculate the common denominator of -30\/11 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 3*j + 18 = 0. Suppose -4*k + 20 = -j*o, -o + 23 = -6*o + k. Let u be 9 - -3*((-64)\/12 - o). Solve 4*h + 8 = d - 17, u*h + 45 = 4*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.186, -6\/5, 5, 220365, -4 in descending order.\nAnswer: 220365, 5, -0.186, -6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (299\/39)\/(-23)*-18516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (97 - 21) - (-1 + 0 + -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8\/(48\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*u - d, 2*u + 6*d - 42 = 2*d. Let v = 3 + -3. Suppose -6*f + 2*f - 2*i = -2, v = 4*f - 5*i - u. Let w(y) = 2*y - 2. Determine w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h. Let o = -14 + 27. Let b(x) = -3*x - 2*x**2 + 19*x**2 + o*x. Let q(g) = b(g) - 5*r(g). Find the second derivative of q(a) wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 665*k**4\/24 + 551*k**3\/6 + 391*k**2 - 1. Find the first derivative of r(a) wrt a.\nAnswer: 665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 76. Suppose 0 = 4*p + 16, -3*w = -w - b*p - 30. Suppose w*n - l - 653 = n, 3*l = 5*n - 811. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2191*g - 86867. What is z(-39)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**2. Let u(f) = f. Let i(y) = 3*y. Let j(h) = -6*i(h) + 21*u(h). Calculate j(m(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (84 + -103 - -148)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756240637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*d + 70. Suppose -d*u = a + 2*a - 297, 2*a = -4*u + 400. Calculate the remainder when u is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**8\/112 + 2*j**7\/35 - j**6\/10 - j**5\/10 + 5*j**4\/8 - j**3 + 3*j**2. Factor y(x).\nAnswer: -3*(x - 2)*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12623 + -3?\nAnswer: -12626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1805, 3607, 5419, 7247, 9097, 10975, 12887?\n\"Answer: w**3 - w**2 + 1798*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * 23\nAnswer: 85.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -2*j**3\/3 - j - 19. Let d(q) = -4*q. What is 4*d(a) - 5*l(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 8*s**2 - 432*s - 875. What is d(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 7. Let q = -23 - -44. What is the remainder when q is divided by 0 - (c + 3) - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/68 + 71\/204. Let s = -5.6 - -6. Which is the smallest value? (a) g (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311201013213 - -211?\nAnswer: -311201013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/90)\/(2\/5). Differentiate -1417*n**3 + 66*n**r + 1417*n**3 + 61 with respect to n.\nAnswer: 264*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310 - 270. Calculate the remainder when 78 is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 5. Let v(r) = 8*r**2 - r - 17. What are the prime factors of v(b)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmleiememlimfeemm. Give prob of sequence ei.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3 - 8 = -i, 0 = 5*q - 4*i - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 10*s - 12. Let u be n(-10). Suppose u = -3*y + 277. Suppose -2*d - 3 = y. Are d and -33 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015 - -113115202?\nAnswer: 113120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3393 + -3270. What is the smallest common multiple of 451 and c?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*i + 71 = 0, -4*z + 2*z - 5*i = -42. What is the remainder when ((-348)\/319)\/(2\/(-77)) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = -4*q, 4*q = -14 - 6. Solve 0 = 3*n + 3*m - 18 + 6, 4*n + m - 16 = g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -8 + 13 + 3015\/171.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 0*n**2 - 4*n**2 - n**2 - 6*n**2 - n**2 + (3 - 3 - 2*n)*(-n + 5*n - 3*n) to y*n**2 + m + i*n and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180)*-6)\/(sqrt(32)\/sqrt(2)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0 - 3*l + 2*l**2 + 0*l**2 - 4. Let w be j(4). What are the prime factors of 1\/(-4) + 228\/w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/19 (b) -1\/4 (c) 4\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2699405 (base 10) to base 3\nAnswer: -12002010212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*u - 74*u = 123. Solve 0 = -31*j + u*j - 50 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306 or 185?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 326 + 794. Calculate the highest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -7 (c) 26 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 18. Let h(g) = -5*g + 19. Let u(o) = 3*h(o) - 2*r(o). Let a(y) = -y + 4. Give 11*a(k) - 2*u(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 3. Let z be m(7). Let l be 10269\/81 + z\/(-18). Suppose l = 5*u - 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:02 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/207*-46*(484\/(-8))\/1\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:56 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, -4434 in descending order.\nAnswer: 2, -1\/3, -4434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.29 take away 150.3878?\nAnswer: -144.0978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -l + 4 + 13, 5*x - 5*l = 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-346)\/6)\/(-10*(-6)\/(-3780)).\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-9))\/((189\/81)\/((-28)\/(-4)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 71.5\nAnswer: 71.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 - -600)*208\/(42 - 16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35322 or -35323?\nAnswer: -35322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 2556*b + 57201 = 0 for b.\nAnswer: 23, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/3614723 and 131\/36147230?\nAnswer: 36147230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.879 - 22. Let w = -0.879 + n. Which is the biggest value? (a) w (b) 13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14838860 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*i - 3*w, -w = -156 + 158 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4292 and -37\/1305?\nAnswer: 193140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15.2. Let n = -0.98 + t. What is n rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, j: 7}. What is prob of sequence jjwj?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d - 10. Let v be b(-11). Let j = v + 87. What is the greatest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10480 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -121020?\nAnswer: 121041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvdvdqdidddi. What is prob of sequence vp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 858736513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19321876 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q + 4*q - 34048 + 34276. Determine z(43).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26409 is divided by 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*1)\/sqrt(7))\/(sqrt(1452)*-1).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3074*g**3 + 8930*g**2 + 8833*g + 49*g**4 + 1\/5*g**5 + 14641\/5 = 0.\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + k + 4*k - 4*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Which is the third smallest value? (a) 5 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 44 = -5*k, 2*q - 2*k - 32 = -4*k. Suppose -q = -5*l + 37. Calculate the remainder when 63 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 158*s. Let f(z) = -179*z + 5. Let w(q) = 215*q - 6. Let a(g) = -6*f(g) - 5*w(g). Give a(k(r)).\nAnswer: r**2 + 158*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550211566 minus -11951?\nAnswer: -1550199615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0337507 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -522520.63 rounded to the nearest one hundred?\nAnswer: -522500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*((-130)\/325)\/(4\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 11. Suppose 4*v = v + 18. Let g = v - 4. Solve g*m = -13 + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbxmx. What is prob of picking 1 m, 2 x, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26564053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47257 + 352710. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 259*o**3 - 272*o**3 + 3*o**2 + 2*o**4 - 2*o**2 to u + r*o**4 + f*o**2 + h*o + k*o**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1004913*m**4 - m + 79482 wrt m?\nAnswer: -12058956*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -377.648887 to 2 dps.\nAnswer: -377.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.5 + -16. Let h = -3.500096 - u. What is h rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -170245 and -7.3.\nAnswer: 1242788.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*4*(-8 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880389 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: Simplify (r**(1\/4))**26*r**(1\/4)\/(r\/(r\/r**(5\/4)))*(((r**(-2\/5)\/r)\/r)**(-15\/11))**(-5\/6) assuming r is positive.\nAnswer: r**(61\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 680 (c) 1\/3 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.061 - -0.161. What is the smallest value in 0.2, -0.4, q, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/(-7) + 12\/(-42). Let w = -5 - b. Suppose -3*o = -15, -p + 3*o = -w*p + 14. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.64*2\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7685, 30001, 67195, 119267, 186217, 268045?\nAnswer: 364751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -407.5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-21)*n\/(n*n\/(n*n\/(n*n\/((n**(3\/4)\/n)\/n))*n)) assuming n is positive.\nAnswer: n**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4797012 months to millennia.\nAnswer: 0.0000399751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z + 171. Determine d(15).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 246, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbgg. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(16\/(-12)). Let z = 13 + -18. Which is the second biggest value? (a) -0.1 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1124202 (base 5) to base 3\nAnswer: 1001012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9803458 decades to millennia.\nAnswer: 0.009803458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7790 + -5422. Calculate the greatest common divisor of s and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose -5*b + 36012 = -4*o, -r*o + 35988 = 5*b + o. What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 1423393797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -13. Solve -2 = f + 3*f + q, 0 = -f - m*q + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Suppose 17*t + 28 = 13*t. Let n = -12 - t. Which is the third smallest value? (a) u (b) -2\/21 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -36.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 301 + -301. Which is the nearest to -0.19? (a) -3 (b) 5 (c) l (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746611?\nAnswer: 53, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let w be n(5). Let q(p) = p**2 - 6*p + 4. Let c be q(w). Is c at most as big as 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 270192905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 13)*(-297)\/6. Let z be (2\/3)\/(2\/r). What is the highest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/33 (c) -1\/2 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(0 - (-10)\/2). Suppose -2*k + 12 = -0*v + v, -5*k + 45 = -n*v. Calculate the least common multiple of 2 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 8*z**3 + 156 + 39*z - 36*z - 2*z**3 + 2*z**3 to the form a + d*z**3 + c*z + q*z**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f + 5*f. Let i(g) = g**2 - g - 2. Let a be i(-2). Suppose 25 = -n + 4*o, a*n - 5*o = 2*n - 35. Sort n, 4, f.\nAnswer: n, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.01 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 40, -17, -1, -5 in ascending order.\nAnswer: -17, -5, -1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:00 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1331*m**2 + 2682*m**2 - 1353*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2272984935008*j + 2272984935008*j + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 2}. What is prob of sequence tt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10590)\/(-17650))\/(-1 + 278\/20)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 765, 1522, 2293, 3084, 3901, 4750?\n\"Answer: v**3 + v**2 + 747*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qffsafasfqq. What is prob of picking 3 q and 1 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 hhzhzhhhhzz. Give prob of picking 1 h and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*j - 26, 264*b + 2*j = 266*b - 14. Let l be (-3)\/(2 - (-155)\/(-70)). Solve 2*v - 3*c - l = 0, v + 2 = -4*c - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*m + 153*m = -2944 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*h + 56*h. Which is the third smallest value? (a) h (b) 2\/5 (c) 2\/15 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g + 79*g = 148*g + 25075. Calculate the remainder when g is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 558 + 154)*(f - 2 + 2)*(-1 - 1 + 3) to the form x + l*f and give l.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 9 + 34 = 0, 2*s - 8 + 1 = -r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*m - 163*m + 72 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0 + 6. What is the third derivative of -3*t**5 - 3*t**q + t**5 - 2*t**5 wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/18*-59*1\/60 and 56\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486864779 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(-6*(-32)\/5760).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 - 63 = 5*k. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.7379892 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58656, 58627, 58598?\nAnswer: 58569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 13 (c) 0.3 (d) 24 (e) -90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 2\/85, 24.9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304) + sqrt(19) - sqrt(76)*4 - sqrt(133)\/(sqrt(42)\/(1*sqrt(6))))*3.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let z(h) = -h**2 + 6*h - 5. Give 3*g(v) - z(v).\nAnswer: v**2 - 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 24490421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 23*x**2 + 14*x - 18. Let c be o(12). Find the third derivative of c*p**4 + 304*p**6 - 30*p**2 + 299*p**6 - p - 609*p**6 wrt p.\nAnswer: -720*p**3 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.041 + -0.959. Is 2\/29 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(15\/(-6) - -3). Suppose -8 = -m*f - 0*f. Suppose -f = -r + 12. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2454 + 13325?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1538 + -1549. Let k be (-2)\/72 + 3\/12. Which is the closest to -0.1? (a) k (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-1\/2)))\/y)**29*(y*(y**(8\/7)*y*y)\/y)**(-44) assuming y is positive.\nAnswer: y**(-2545\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 8*j + 9. Let a(g) = -g - 8. Let q be a(-7). Let i be b(q). Solve -i = o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2378, -2389, -2400?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211.1712 - 0.1712. Is c at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1971\/78184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-8))\/((-6)\/(-4528)). Suppose -d + 11 = 2*y, 2*y + 13 = d + 3*y. Is 10\/d - u\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 45 = 4*l, 2*l + 20 = 3*l - 5*m. Let s(y) = 6 - 17*y + y**3 + 29*y - 5*y**2 - 2*y**3 - 11*y. Let n be s(l). Which is bigger: 6\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 6*w + 3. Suppose -42 = 5*v - 57. Let j(o) = o**2 - 11*o - 5. What is v*j(t) + 5*a(t)?\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dotztvoggot. Give prob of sequence od.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61012095 + -61012121.19999925. Let p = 26.2 + w. Round p to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31800 divided by -106\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 2\/15*f**3 - 1\/120*f**6 + 3\/560*f**8 + 0*f**4 + 1\/70*f**7 - f**2 + 0 + 0*f - 1\/20*f**5. Find q such that g(q) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**5\/2 - 55*g**4\/2 - 85*g**3\/2 + 55*g**2\/2 + 45*g = 0.\nAnswer: -9, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 102115875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131269789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 12*d**2 - 16*d - 11. Let q be r(-13). Suppose -4*p + q = v - 3*v, -10 = -3*p - 4*v. Solve -20 = -4*j, -u + 2*j - p = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-2*-6 - sqrt(104))\/(sqrt(72)*-2 - sqrt(8))*6.\nAnswer: -66*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9504*w = 2671*w - 325949 - 15701 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**3 + 10*q**2 + 15*q - 306. Let f(v) = -13*v**3 + 16*v**2 + 24*v - 460. Give -5*f(s) + 8*y(s).\nAnswer: -7*s**3 - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33867, -33856, -33841, -33822, -33799, -33772?\n\"Answer: 2*w**2 + 5*w - 33874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -269*j - 4731. Let a be i(-18). Calculate the highest common factor of a and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2764 = 4*w, -3*w + 4*w + 5*b = 703. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 34*h**2 - 25*h + 282. Let c be u(-33). What is the highest common factor of c and 1206?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 60.1. Let g = -3.09987 + j. Round g to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -1 - 5. Suppose -5*s = -j*s - 3. Let z be (-2 + s)*(-2 + 4). Sort z, 3, -1 in increasing order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3800076860 rounded to the nearest one hundred thousand?\nAnswer: -3800100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 3421 - 837 = 0. Let z be (-6)\/8 - (-51)\/d. Solve z*r - 4*r - 10 = -5*b, -2 = -b - r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 11*t = -50. Solve 5*h = -5*d - 45, -d + t = -3*h + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**2 + 2*k**2 + k**3)*(4 - 3 + 0)*(2*k + k - 5*k).\nAnswer: -2*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 9 - (-2 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324 - 74 - 123 - 126 + s + 9*s.\nAnswer: 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -174. What are the prime factors of n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/3 - 2*f**3\/3 - 13*f**2\/3 - 10*f\/3 = 0. Calculate f.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 27*l - 3. Let h be o(11). Let v = h - 134. Suppose 0 = -0*r + 2*r - v. What is the greatest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-2 - 5) + 2 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 + 2.2. Let s = v - -3.1. Let w be (-18)\/(-22) - 1 - (-50)\/154. What is the nearest to 0 in -2\/5, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.4. Let q = -61 + 59. Sort q, x, 2\/5 in ascending order.\nAnswer: q, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10912291?\nAnswer: 13, 683, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-224)\/10. Suppose -187 = -63*i - 61. What is the highest common factor of z and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198528*d**3*t**3 + d**3*t + 9*d**2*t**2 - 3*d*t**2 + 4*t**3 + 1745 wrt t?\nAnswer: 1191168*d**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 101259.\nAnswer: 101263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4149 * 3\nAnswer: -12447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*d**4 + (-7*d**3 + 4*d**3 + d**3)*(-3 + 2*d + 3) + 14*d**4 - 17*d**2 - 78*d**4 + 65*d**4.\nAnswer: -6*d**4 - 17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/(74\/(-4218))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2\/25*k**5 - 7\/20*k**4 - 1\/5*k**3 + 4\/5*k**2 - 20 + 4\/5*k. Suppose t(s) = 0. Calculate s.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.38256 and -0.045174.\nAnswer: 0.337386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o. Let s be p(-4). Let w = -2.6 - -0.6. Let i = 0.5 + -0.3. Put i, s, w in descending order.\nAnswer: s, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 588 = 4*j, 0*d - 147 = -j + 5*d. Suppose 0 = 6*i - 3*i - j. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 66*y**4 + 780*y**3 + 5643*y**2 + 16848*y + 16821. Let x(r) = 5*r**4 + 60*r**3 + 434*r**2 + 1296*r + 1294. Let s(p) = 2*d(p) - 27*x(p). Factor s(u).\nAnswer: -3*(u + 2)*(u + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 7:51 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 1 - (14 + -2). Let n = 56 + m. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.117 - 0.183. Let i be 0*1*2\/(-6). Which is the closest to i? (a) 2\/3 (b) -4\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, s: 4}. Give prob of picking 3 j.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m - 17. What is p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -53*o - 318. Let r be u(-6). Let n(k) be the third derivative of 1\/24*k**4 + 7*k**2 + 0 + r*k + 0*k**3 - 1\/30*k**5 + 7\/120*k**6. Calculate n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 688 = -5*i, 0 = 3*w - i + 4*i + 519. Let s = 55 - w. Suppose 0 = 4*f - r - 194, -3*r = 5*f + r - s. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047998157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 204.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.36 (b) -3\/4 (c) 3\/8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.64845 + 0.5492. What is u rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i**2. Let f(m) = 6*m + 22212. Give f(w(p)).\nAnswer: 108*p**2 + 22212","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(168)\/(sqrt(32)\/sqrt(4)) + sqrt(21) - sqrt(84)\/(-1*sqrt(4)))\/(3*sqrt(12) - sqrt(27)\/sqrt(144)))**2.\nAnswer: 480*sqrt(7)\/23 + 29353\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2*z + 2. Let a be b(-3). Suppose 0 = -5*d + a*q, -2*d + 2*q = -2*q. Are 4\/5 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3408 and 858960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239695 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/116)\/(18\/12))\/((-105)\/(-945)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50962174283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007297 is divided by 1057.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 6300.3 and -134.\nAnswer: -844240.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -9. Let o = 0.1 + -0.6. Put -0.1, l, o in decreasing order.\nAnswer: -0.1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*q**4 - 57*q**4 - 5*q**3 - 56*q**4 + 4*q**2 + 175*q**4 + 11*q - 1 to x*q**2 + t + r*q + l*q**3 + c*q**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/2 + q - 21. Let n(t) = 4*t. Calculate n(x(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at least -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 4. Suppose b = -2*b. Suppose -p + j + 4 = b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36643*i**2 + 112 + 36636*i**2 + 36646*i**2 - 109927*i**2.\nAnswer: -2*i**2 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 6*u + 9\/2*u**2 + 5\/2*u**3 - 2 + 9\/20*u**5 - 11\/4*u**4. Determine m so that h(m) = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 1. Let r(v) = -v. What is -q(g) - 5*r(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4644 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*z = -10, -10 = 3*z + 2*z. Sort -1, 2, k, -7 in descending order.\nAnswer: 2, k, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -0.706.\nAnswer: -6.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*j + 15 - 2, 2*j - 11 = -l. Let s(o) = 17*o**2 + 3*o - 1. Let n be s(l). Is 19 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 + 18*a**3 + 11*a**3 + 15089*a**2 - 74*a**3.\nAnswer: -54*a**3 + 15089*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/42523 and 30\/2483?\nAnswer: 8121893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - 1.4. Let l = -762 + 762.1. What is the biggest value in q, -0.09, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*1 + 0\/(-6). What is the closest to 0 in 1, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 676\/7 - 104\/7*r + 4\/7*r**2.\nAnswer: 4*(r - 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 6*l + 13\/2*l**2 - 23. Let g(p) = -4*p - 2. Give -7*g(w) - 2*v(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from ijhehujhehre?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*i = -30, 16 = 2*h - 0*h + 2*i. Let w(s) = 14*s**2 + s + 1 - 2 - 4*s. Is w(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*p + 111966 = 0, 55979 = 24*u - 23*u - 2*p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 5 (c) 214971 (d) -2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 939 - -4318. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*b = -5*d - 40, 10115 - 10248 = 29*d + 4*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + (sqrt(475) + sqrt(475) + -1 + -2 - sqrt(475)) + -1*5*(sqrt(475) + 0))*4)**2 + -2.\nAnswer: -10240*sqrt(19) + 1945854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/135)\/(4\/(-10)). Let x be -14 + 16 - (-1 + 5 + -7). Sort 3\/7, -1\/7, x, r.\nAnswer: -1\/7, r, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -79333272649?\nAnswer: 79333272650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 1796*a + 5405. Let n be w(3). Let d be (2 + 1)\/((-6)\/(-8)). Solve -2*k - 11 = -q - 5*k, -2*q + d*k = n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867009089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) 7 (c) -0.2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + 35 + (-26 - -18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49\/(-7)*2\/2. Let d = v + 9. Suppose -d*n - 2*y = -4*n + 22, 0 = 2*n - 5*y - 34. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2 - -1 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 984\/30*(-45)\/(-6). Let v = y - 158. What is the common denominator of (-8)\/44 - 479\/v and 21\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 + 264*m - 102. Let k(p) = -26*p**2 - 790*p + 289. Let r(h) = -6*k(h) - 17*z(h). Factor r(t).\nAnswer: 3*t*(t + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 - 799 + 264 = -4*d - 261 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5 = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q + 2*g + 8, -4*g = 16. Suppose q = -5*y + 2*y + 15, 3*k - y = 25. Solve k*j - 1 = -41 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l - 1. Let s be z(-1). Let g = 18 + s. Solve 2*o + g*j = 4*o - 10, -4*o + 4*j = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*b + 127 + 104, 15 = 3*x. Let n = -109 - b. Let f = n + 50. Solve 0 = -f*q - 2*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**2 - 2*z**2 + (0 - 4 + 2)*(-4*z**3 + z**3 + z**3) + 2*z**3 - 3*z + 3*z - 4*z**3 - 39*z + 39*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - (-41 + 18) - -72.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-70)*15\/6)\/(3\/((-18)\/51))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108100109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**11\/13860 - r**7\/2520 - r**4\/4 - 3*r. Let u(n) be the third derivative of p(n). Find the third derivative of u(j) wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5799586.2 + 5.\nAnswer: -5799581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 = 93686\/355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, k: 7, d: 1, s: 3}. Give prob of picking 3 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 78, -1362, -3356, -5892, -8958, -12542?\nAnswer: -16632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Let f be 2 + j + (-4 - -1). Let h be (6\/18)\/(f\/(-15)). Solve h*k = -3*s + 17, 5*s - 3*s - 14 = -4*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -351, -355, -361, -369?\n\"Answer: -p**2 - p - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22267 rounded to the nearest one hundred?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*r = 36, -2*m + 4*r + 6 = -14. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:50 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -34. Let x(z) = 4*z + 25. Is 23 a factor of x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 - -1 - 2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**5\/7 + 7726*t**4\/7 + 67092*t**3\/7 + 13912*t**2 - 220060*t\/7 + 47850\/7 = 0. Calculate t.\nAnswer: -957, -5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2\/29, -16, -6, 2\/3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + -92. Let s = u - -239.87. What is the second biggest value in s, -1, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529905877?\nAnswer: 19, 337, 82759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 38*g**2 + 40*g - 109. What is a(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25877 + 25877.00056083. Round s to 6 decimal places.\nAnswer: 0.000561","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 3*m - 9\/2*m**2 - 1\/6*m**3 - 32. Determine n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 15 + (-3 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 5*f + 11. Let r(d) = -d**2 + 3*d - 6. Let p(j) = j**2 - 7*j - 11. Let o be p(8). Calculate o*u(l) - 5*r(l).\nAnswer: -l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 - 30381*k\/5 + 485328\/5.\nAnswer: 3*(k - 10111)*(k - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 2*p - 2*p**2 + 0 - 1\/6*p**3. What are the prime factors of t(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5693 and -4.08.\nAnswer: -5697.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akjj when four letters picked without replacement from jkajjkakjk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 4) to base 2.\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 213*m - 7036. Determine y(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*d - 554, -8*p - 12 = -4*p. Let i = d + 110. What is the nearest to i in -0.5, -1\/9, -1\/10, -3\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7064 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 192. Suppose 0*t = -5*t. Suppose t = -h - 3*z + 49, u = 3*h - 4*z - 49. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/20)\/2*(5800\/60)\/10*10\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:37 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddt when three letters picked without replacement from {d: 11, t: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1116)\/(-84) - (-4)\/(-14). Let s be 1366*(-45)\/(-110) - (-2)\/11. What is the highest common factor of a and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564*b*v**4*w - b*v**4 + 3*b*v**2*w - b - 37*v**3*w - 2*v - 1903*w wrt v.\nAnswer: 13536*b*v*w - 24*b*v - 222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -1.6. Put b, 0.1, -4, -5 in descending order.\nAnswer: b, 0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 87.8, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(153) + sqrt(17)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r = 43*r - 4*v + 24, r + 3*v - 18 = 0. Put 4\/3, -0.2, 2\/3, r, 2\/9 in decreasing order.\nAnswer: 4\/3, 2\/3, 2\/9, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851757817.\nAnswer: 7, 13, 20348987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*q + 2*h - 21, -5*h + 28 = q. Suppose -y = -4, 0 = -5*w - y - 4*y - 5. Sort -3, q, w in increasing order.\nAnswer: w, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108048 + 13*s - 324178 + 108085 + 10*s**2 + 108045.\nAnswer: 10*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -2*n. Suppose -q = n*q - 52. What is the remainder when (-4)\/8 + 98\/4 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + -1*(sqrt(3) + 1)**2 + sqrt(108) - (sqrt(108)*-6 + sqrt(27) - sqrt(27))\/sqrt(9)).\nAnswer: -4 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - p - 24, 2235*p - 2241*p - 84 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81698011?\nAnswer: 81698011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w + 2*w**3 + (1 - 17 - 2)*((-3 + 3 - 2*w)*(-3*w**2 - 4*w**2 + 5*w**2) + 1 - 2*w**3 - 1).\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 - 2*u + 2. Let c be y(2). Let w(b) = -b**2 + 5*b**2 + b**2 - b - b**c. List the prime factors of w(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.09, 0.11, 4 in increasing order.\nAnswer: -0.2, -0.09, 0.11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -17097, 5, 4, -3, -17, -8, -4 in increasing order.\nAnswer: -17097, -17, -8, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23337743 a multiple of 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 2*b**3\/3 - 54*b. Let c(o) = 0*o + 0*o - 2*o. Determine r(c(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-428*i**3 - 12529*i**2 - 12530*i**2 + 25057*i**2)*(-4*i + 2*i + 5*i)*(-2 + 0 + 3) as r*i**4 + d*i + c + o*i**3 + z*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-15)\/(-6) - 2). Suppose f - 17 = -4*n, -3*n = -3*f - f + 68. Find the third derivative of -r**3 + 9*r**3 - f*r**l - 9*r**2 wrt r.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -366469, -366603, -366737, -366871, -367005, -367139?\n\"Answer: -134*x - 366335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1692 * -0.13\nAnswer: 219.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from xbxxbbbbxx?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489494085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-105))\/((-219)\/(-1022)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**5 + 5\/6*m**3 + 0*m**4 - 7*m + 7\/30*m**6 + 0*m**2 + 0. Find the second derivative of i(z) wrt z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1785*a + 34. Calculate t(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65939900.\nAnswer: 2, 5, 13, 50723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8590.698ng to micrograms.\nAnswer: 8.590698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (-15 - ((-20 - -6) + 8)) - -176\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.897904 - 1.3?\nAnswer: -0.402096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, -22, -1531.1, -0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -725, -2178, -3617, -5042, -6453?\n\"Answer: 7*p**2 - 1474*p + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*s + 21 = -266*s - f - 36, -12*s - f + 246 = -4*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*w - 11*w + 11646 = 531*w - 1186 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 15 - (1 - 11 - -13)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + 3 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 10*r + 29. Let g be b(5). Let x = 22 - 21.9. What is the closest to -0.2 in -3, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 13*y = 0. Let f = -9 + 6. Let h = f - -1. Which is the biggest value? (a) h (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -20. Let p = 70 - 41. Let z = p + y. Which is the biggest value? (a) 3\/2 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/2 - d**3\/3 - d**2. Let g be l(-2). What is the units digit of g\/8 - 1\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 788416108 and -0.1.\nAnswer: -78841610.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b = -99*b - 100*b + 350 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101845505 or 407382023\/4?\nAnswer: 407382023\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.5 (b) -2\/7 (c) 4 (d) -657\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(120)\/sqrt(4))\/sqrt(6) - (sqrt(45)*-1)\/sqrt(9) - (sqrt(45)\/(sqrt(63)\/sqrt(7)*-1))**2.\nAnswer: -5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/18*4)\/(3*7\/(-28))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21512842 to the nearest one thousand.\nAnswer: -21513000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -36. Find the third derivative of 10*n**3 - 24*n**2 + 11*n**m + 4*n**3 wrt n.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 171 + 6113*g**2 - 6111*g**2 + 24*g.\nAnswer: 2*g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(76) + (sqrt(19)*-2*-4*2)**2.\nAnswer: 6*sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5139 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: Four letters picked without replacement from ylellyzrlllyzozrryr. What is prob of picking 1 e, 1 o, and 2 r?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w + 7. Suppose 0 = -225*u + 220*u. What is k(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 381*w**2 + 2*w - 1. Let o = -8 + 6. Let l be v(o). Let b = -639 + l. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/((-6)\/(-1))). Let n = 22 + 4. Let v = u + n. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s + 2*s**2 - 13 + 5*s**2 - 7*s - 8*s**2. Let b = 4 - 0. Calculate the remainder when v(-10) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2882 + -2846. Sort -4, a, 10, -5.\nAnswer: -5, -4, 10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4.513 (b) -0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*m - 9*m = 10496. Is 71 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 118*k**3 + 37*k**3 - 2 + 44*k**3.\nAnswer: -37*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 84*l**2 + 621*l + 540.\nAnswer: 3*(l + 1)*(l + 12)*(l + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9920\/(-2432))\/(-155)*-190.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8.7 (b) 4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-18)\/(i*i*i\/(i\/i**(-1\/3))*i)**(1\/4) assuming i is positive.\nAnswer: i**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50004 - 19104. Round v to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4658\/411)\/((-4)\/42 + 0). Let n be 16\/(-24) + a\/(-21). Solve -j - 24 = n*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, t: 1, i: 1}. What is prob of picking 1 i, 1 n, and 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuvvuuuvvuuuuuuuuv. Give prob of picking 3 u.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:52 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**4 + 3*r**3 - 108*r**2.\nAnswer: -144*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 29, 33, 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 3 - 5 + 2 + 4*z - 6.\nAnswer: 7*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624565 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(605)*4 + -2*sqrt(605)*-1)**2 - ((-1*sqrt(605))**2 + 5 + 1 + sqrt(605)*1))*-3.\nAnswer: -63507 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894168539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -h + 98, n = 5*h + 4*n + n - 505 + 17 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24475*b + 24469*b + 220302. Does 175 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2483057.\nAnswer: 23, 47, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/38880 and -1\/602640.\nAnswer: 1205280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 190950977 and 190950976 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5728 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 36*a**2 - 16 + 0 + 11 + 2 + 12*a**3 to the form g*a**3 + p*a**2 + j + l*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*g + 17, 182*g + 1 = -y + 181*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 158\/14 - 4\/14. Let p(t) = t**3 - 12*t**2 + 13*t - 6. Is p(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32068 and 5?\nAnswer: 160340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(19) + -1)*-5 + 4 + (sqrt(171))**2 - ((sqrt(171) + -2*sqrt(171) + sqrt(171) - sqrt(171)) + -4))*2 + 4).\nAnswer: -1116 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k - 9. Determine s(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 16 = -32. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217416.\nAnswer: 2, 43, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 - 15*d**2 + 6*d**2 + 2.\nAnswer: 9*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-122)\/(-8) - (-1)\/(-4). Suppose -4*t = -2*q - 3*t + 12, -5*q - 5*t = -w. Solve 0*k - q*k = -4*x - 10, 7 = -k - x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 18, 3, -10, -21, -30, -37?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 - 8*f**2 - 3*f**5 + (-7*f**2 + 8*f**2 + 7*f**2)*(-2*f - 2*f**3 + 2*f) - 3*f**4 + 3*f**4 + 2*f**5.\nAnswer: -17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 41. Let j be v(0). Let d be j\/4 + (-16)\/64. Suppose -2*g - 11 + 1 = -4*t, -2*g - d = -2*t. Solve a = -t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.4 times -5?\nAnswer: -3407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s. Suppose -y + 0*y + 12 = 0. Let h = y - 10. Let t(n) = 7*n**h + 0 - 9*n**2 + 0. Give r(t(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.017 and -9\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 60 - 44 + 5*r + 159.\nAnswer: 5*r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, 42, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblyqbbqqqdbbbqqybqb. What is prob of sequence bq?\nAnswer: 63\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 8454*d - 8454. Calculate g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/7)*z*(z*z**(2\/5))\/z*z assuming z is positive.\nAnswer: z**(59\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 77.00000135. Round i to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406822 - 406822 - 17*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1473\/14 - 105. What is the nearest to -0.2 in v, -2, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146867 + -80542. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/96*s**4 + 1\/8*s**3 - 1\/60*s**5 + 0*s + 64*s**2 + 0. Factor j(f).\nAnswer: -(f - 1)*(4*f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 6*v - 2. Let a be k(6). What is a rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2839, 2844, 2847, 2848?\n\"Answer: -g**2 + 8*g + 2832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7 = 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2417c (base 13) to base 2\nAnswer: 10000001010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -12 + 23 + 3 + -3 + 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/20 + s**4\/2 - 7*s**3\/6 + 5*s**2\/2 + s. Suppose -3 + 15 = 4*n. Suppose -2*h - 2*x = -16, n*h - 4 = 3*x - x. Give d(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 15*k**2 + 7*k - 6. Let d(u) = -7*u**2 - 2*u + 3. Let j(b) = 5*d(b) + 2*p(b). Let y be j(4). Calculate the greatest common factor of 603 and y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 5*d - 2*d)*(-67 + 35*d**2 - 72 + 139).\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8955, -1090, -2\/11, 3?\nAnswer: -1090","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 35 = -2*b, -2*y = -y + 1. List the prime factors of 64\/(-6)*(-45)\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**4 + 38*x**3 + 7*x + 256. Let q(p) = p**3 + p - 1. Let g(u) = -h(u) + 5*q(u). What is the second derivative of g(w) wrt w?\nAnswer: 36*w**2 - 198*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9\/4*c - 3\/8*c**2 = 0. What is c?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2675155*w**2 - 10136966.\nAnswer: -5350310*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - 76. Let o = w + 154. Sort o, -23, 4 in increasing order.\nAnswer: -23, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 - -0.2667?\nAnswer: 829.2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-4))\/(2\/(-8)). Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*j - 656 = -65*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:18 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/278 and -89\/1466172.\nAnswer: 1466172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*k + 10 = 0, 0*r - 5 = r - 2*k. Suppose 6*a - r*a - 4 = 0. Suppose 103 = -a*v + 755. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28544 is divided by 28469?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 44 = -4*m - 4*z, 2*z - 22 = 5*m. Let t(c) = c**3 + 6*c**2 - c - 6. Let r be t(m). Let b be r\/((3 - 4) + 2). Put -2, b, -1 in decreasing order.\nAnswer: b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460965 + 197781 = 20211*q - 42759 + 446538 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) 2 (c) 5.2 (d) -0.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:19 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 81 (c) -20 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/700?\nAnswer: 9\/700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**3 - a**2 + 2*a + 3. Let l be j(-1). Let v be ((-3)\/(-3))\/((-5)\/(-36)). Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6912 - -19197. Does 35 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ipkggivn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*m + 210, -149 = 2*m + 2*m - 3*s. Let l = -39 - m. Let d(k) = 117*k - k**l - 117*k. Let n(j) = 11*j**2. Calculate n(d(o)).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from xxxnvgxb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27054283, 54108540, 81162797, 108217054?\n\"Answer: 27054257*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p**(-9) assuming p is positive.\nAnswer: p**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let u be 5*(-16)\/60*9. Let h be u\/(-5)*(-40)\/(-12). Let j(n) = h*n - 21*n + 1 + 12*n. Determine 4*g(v) - 5*j(v).\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ccnllllcnllcl.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2281*c + 167583. Determine a(76).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20645 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -35, -108, -251, -488?\n\"Answer: -4*m**3 + m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-340))\/(1\/(-8))*(-11)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 6*z**2 + 1\/120*z**6 - 1\/6*z**4 + 1\/60*z**5 + 0 + 19*z + 1\/6*z**3. Let t(p) be the first derivative of k(p). What is t(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*b + 116*b + 180*b.\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2555400 divided by -511080\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81 - 0?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/4 + 10*c**3\/3 - 17*c**2\/2 - 28*c + 1437. Factor i(w).\nAnswer: -(w - 7)*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123088 and 138474?\nAnswer: 1107792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 m when four letters picked without replacement from memmmmkmmkmmkkee?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqxxqgqgxgqgw. Give prob of sequence xxgg.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 104\/78*(-6)\/(3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 0 - 3)*(-g - g + 4*g).\nAnswer: 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1504253452?\nAnswer: -1504253455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124\/5 + -25. Let r = -371 - -1479\/4. What is the smallest value in r, y, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xllrlqwrlwqil. Give prob of sequence ilw.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-4)\/6*135\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 993079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -3*v. Let n(j) = 2*j. Let u be n(4). Suppose -2*h - 8 = 5*k, -2 = 4*h - u*h - k. Solve v*g = -5*m - 10, -2*g + h = -4*m + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 15 = -5*i - 7, 0 = 4*i - 3*c - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548073.\nAnswer: 3, 53, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 7*g + 10060. Let v = g + 1010. Solve 5*d = p + 19 - v, -5*p - d = 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6227 - -10480. Suppose -4*r = -l + 738 + 127, -j = -5*l - 4*r. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j - 7. Let f = -7 + 31. Suppose -3*n + 9 = f. Determine g(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.257 to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-12))\/((-2)\/(-6)). Let y be (-3 - m)*(2 + -2). Suppose -2*b + 33 - 3 = y. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15968, -15083, -14198, -13313, -12428, -11543?\nAnswer: -10658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42683295.\nAnswer: 3, 5, 2845553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (706*(-5)\/50)\/(1 + 1) - (-1275)\/4250?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -11322311323?\nAnswer: -11322311331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 + x**2 - x. Let s = -6 - -18. Suppose 0 = 4*j - s - 8. Suppose 0 = j*c + q - 0*q - 2, 4*q + 12 = 0. What is l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13943647 by -28.\nAnswer: 13943647\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 787\/63 + -134\/21. Calculate the common denominator of b and (7 - (-1452)\/(-48)) + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*m**4 + 4*m**4 - 2*m**2 - 5 + 2*m**4 - 1 + 1 - 2*m**4 + m**4 + 3*m**4 + (m**2 - 2*m**3 - m**2)*(1 - 1 - 2*m).\nAnswer: 10*m**4 - 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17)*1*-1 - 3*(sqrt(17) + 1))**2 + sqrt(153)\/(sqrt(1089) - (sqrt(1089) - -2*sqrt(1089))).\nAnswer: 395*sqrt(17)\/22 + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 22*u + 24. Suppose -2*b = -22*b - 400. Give q(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1 - 4 - 2*m + 3 + 3*m. Give o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80749 is divided by 40332.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from agfnggn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -162739, -1302134, -4394781, -10417306, -20346335, -35158494?\n\"Answer: -162771*d**3 + 2*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + 3*p**2 - p + 1. Let n = 13 + -18. Let z be c(n). Suppose 0 = 2*d - 134 - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46665.18 millennia to years.\nAnswer: 46665180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(110)\/(sqrt(10) + 6*(-2*sqrt(10) - sqrt(10)) - sqrt(10)))**2 + 2.\nAnswer: 2*sqrt(11)\/9 + 254\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Suppose 0 = 3*y - 7 + s. Solve -y*f + 8 + 2 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**26*(x\/(x\/(x**(2\/7)*x)))**29 assuming x is positive.\nAnswer: x**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84783.86 micrograms in grams?\nAnswer: 0.08478386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. Suppose 4 = k + p. What is the second biggest value in -3, -2\/81, k?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*v = -1934 + 7894, t = -5*v + 1457. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7248488 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/12 - 7*b**3\/6 - b**2. Let q(s) be the first derivative of 2*s**2 + 3*s - 2. Let w be q(-2). Determine f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.913822 rounded to zero decimal places?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4672983?\nAnswer: 3, 7, 83, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 364 = -19*a + 4*z, 500 = 4*a - 2*z. What is the greatest common divisor of a and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 69. Suppose 0 = -n*d + 2*x + 961 + 77, -3*d + 5*x + 768 = 0. Calculate the greatest common factor of d and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6652918 rounded to the nearest 10000?\nAnswer: -6650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.72 - 0.82. Let z = 2 - 5. Let o = z + 2. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6102 (base 9) to base 10\nAnswer: 4457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*y = -2106*y + 621 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 28*n**2 - 5*n - 13. Is b(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 302 (b) -5 (c) -12 (d) -0.4 (e) 17\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 + -57.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15060 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 97, 18, -219, -668?\n\"Answer: -9*y**3 + 2*y**2 + 82*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/(-8))\/((-817)\/(-190)*162\/17415)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqz. What is prob of picking 2 z and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 263971*y - 263971*y - 20313*y**5 + (-6*y**2 + 3*y**2 + 5*y**2)*(-4*y**3 + 2*y**3 + 4*y**3).\nAnswer: -20309*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -440511, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 121.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 612175 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*z = -31 - 6, z + 55 = 5*i. Suppose 0 = 2*h - 8 - i. Solve -3*g = 2*x + 11, -5*x + x - 2*g - h = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ckvkckkkkkckcckkck?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 197*d**2\/2 + 397*d\/2 - 199\/2.\nAnswer: -(d - 1)**2*(d + 199)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -17935, 1089 in ascending order.\nAnswer: -17935, -4, 5, 1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -635325?\nAnswer: 635325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8960823*c**6*j**2 - c**3*j**2 + 2*c**2 + 9*c*j + 2*c + 18309*j**2 - 2 wrt c?\nAnswer: 1075298760*c**3*j**2 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2289713 - 3819241151\/1668. What is the common denominator of 46\/39 and a?\nAnswer: 21684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -13. Suppose -r + 6 = -4*f + u, 4*f - 2*r - 12 = 0. Suppose 0 = -0*k - f*k - 3*m + 233, -2*k = 3*m - 95. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*i + 4 = 29, -4*u - 5*i - 20 = 0. What is the remainder when 18 is divided by 1\/(2\/u)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6304 + 12601 - 37*x - 6297.\nAnswer: -37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899 - 59 = 35*m. Calculate the least common multiple of 22\/((2\/(-8))\/((-51)\/34)) and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (-2 + -2 + (3 - -7 - 5) + 7).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -10, -46, -118, -238, -418?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329 and 12030543?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from kaakakekxeseeu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -9, 2\/41, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 16}. What is prob of sequence dl?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/41, -4\/15, -4, 5, -282?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 (base 9) in base 4?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1736\/(-2))\/(11179\/1597).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 465579 + 465579.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -3*q + 92*c - 87*c, -4*c = -q + 159. What is the remainder when q is divided by 96?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, m: 3, w: 2, a: 1, e: 1}. Give prob of sequence mwe.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350410 and 45292.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/8 - 11368\/(-4640). Suppose -n*c + 2\/5*c**3 + 4\/5 + 0*c**2 = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91 + 1?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870807715?\nAnswer: 5, 19, 23, 398539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2. Let q(d) = 7*d**2 - 6. Let y(u) = 20*u**2 - 17. Let f = 16 + -12. Suppose f*m + 2 = -22. Let v(s) = m*y(s) + 17*q(s). Determine v(h(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. What are the prime factors of ((-25)\/10)\/(l\/72)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 559?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 377552388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50108.\nAnswer: 2, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zue when three letters picked without replacement from zezuuuup.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 253305144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 6252996*o**2.\nAnswer: 4*o**2*(o + 1563249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -140 + (289 - (25 + 89))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((13671\/62)\/49*(-2)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 32683112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-8))\/(3\/(-20)). Let d be (v\/(-7))\/(-2) - -1. Let y be 488\/3050*10\/(-12). What is the second smallest value in -0.14, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 67*q**2 + 7*q + 466. Let n be d(-67). Let f(v) = -4*v - 34. What is f(n)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 18 - (-23 + (30 - 5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 43809*f + 47226096. What is n(-1078)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 4. Let d(s) = -s**3 + 7*s**2 + 11*s - 4. What is the least common multiple of 12 and d(g)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 21 - -29) + -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4381*w + 600246. Give c(137).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from oeo?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-6)*k**(4\/5)*k)\/((k**(-5)\/k)\/(k**(7\/2)\/k)) assuming k is positive.\nAnswer: k**(183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2538 (base 14) to base 10.\nAnswer: 6518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dausu. Give prob of sequence ad.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228596 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: What is the nearest to -2\/65 in 105, -2, 0.4, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -143415 divided by 28683\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -h - 5*l, -l + 3*l = 4*h - 736. Let a = h + 145. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1420*0.0311\nAnswer: -44.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -186 (b) -26 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - 2 - (78 + -73)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 95 = -4*a + 6*a, 0 = -3*a - m - 123. Let w = a - -42. Solve w*y = -y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 51 = -4*k, 14*k - 10*d = 10*k + 66 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(70)*1 - sqrt(70))\/sqrt(10) + -1 + (sqrt(175)*2)**2.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 30429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -1 + 0*l**2 - 2\/65*l**5 + 0*l**4 + 4\/39*l**3 - 2\/13*l. Factor k(t).\nAnswer: -2*(t - 1)**2*(t + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 16) to base 14\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.34 * -7221\nAnswer: 16897.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1*5 - sqrt(176))**2*-3.\nAnswer: -8448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(14\/70) - (19 - (-5 - -2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**3 - 2*k**2 + 1. Suppose 4*m + 5*v + 1 - 10 = 0, 0 = 3*m - 4*v - 30. Let w(b) = -b**3 + 6*b**2 - b + 7. Let c be w(m). What is d(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502598 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -620, -1169, -1734, -2315, -2912, -3525?\nAnswer: -4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799127?\nAnswer: 599, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18798\/(-15795) - 6\/(-15). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x**2 - 51*x - 4. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43237, 43235, 43233, 43231, 43229?\nAnswer: 43227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -366 (base 15) to base 3\nAnswer: -1001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqsvvvvsv. What is prob of picking 2 s and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.62 - -0.22. Which is the fourth biggest value? (a) 0 (b) s (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 + 5\/(-10)*-4 and -1 + 4\/2 + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5046478933 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 208. Suppose -x = x - o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1298328, 1298325, 1298322?\nAnswer: 1298319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 0*x + 1\/2*x**2 - 5. Let c(v) = 41*v. Determine c(y(o)).\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 5, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4204510 to the nearest integer?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27539321*m**3 - 37*m**2 + 2679*m - 9 wrt m.\nAnswer: -165235926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -135. Let n be 1*(3 + 80\/(-12) + a). What is the nearest to n in 0.11, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 37*p - 9. Give k(7).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120415\/94 - 1281. Let t = 289\/658 - y. Factor t - 3\/7*f**2 + 0*f.\nAnswer: -3*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -0.1.\nAnswer: -4, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*6\/165 - (-17)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 47. What is the closest to 2\/9 in -0.4, h, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23176 is divided by 144.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 162320*b**2 - 973916*b - 24 = 0.\nAnswer: -1\/40580, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -11*r - r**3 + 211 - 66 + 2*r**2 - 65 - 14*r**2 - 69. Determine g(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 14 - 4)*(0 - 2*h**4 + 0) - 4*h + h**4 + 4*h.\nAnswer: -61*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n**2 + 74*n**2 + 280*n**3 - 13*n**2 - 2.\nAnswer: 280*n**3 - 5*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16 - (-23)\/(-12). Let f = -839 - -839.3. What is the nearest to -6\/7 in -4, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 5*m**3\/3 + m**2 + 9*m - 50. What is the hundreds digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 2e1e2?\nAnswer: -2e1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 25, 0 = -b + 4*l - 7 - 9. Suppose b*q = 750 - 78. Suppose 4*a = -4*a + q. Is 21 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536475 a multiple of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 100*n + 96. Let p(k) = 20*k + 19. Let d(o) = -11*p(o) + 2*s(o). What is the hundreds digit of d(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22)\/(-165) + (-3566)\/(-30) is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309098 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248242 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5eb + 1?\nAnswer: -5ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(14*p**5 + 18*p**5 - 5*p**5) + 403*p + 8 + p**5 - 403*p.\nAnswer: 82*p**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, -4, -12 in descending order.\nAnswer: 4, -4, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/3 - w**2\/2 - w\/2 + 1\/3 = 0.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 312 + -312. Solve 2*l + 8 - 2 = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1062)\/(-5) - (-14)\/(-35) - (-3 + -2). Let h(i) = -3*i - 2. Let l be h(-3). Suppose 3*n = l*n + 5*u - 437, -3*u + r = 2*n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*n + r, 3*n - 14*r - 31 = -18*r. Suppose -3 = 3*i - 0. Put n, i, 1 in decreasing order.\nAnswer: n, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121421317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1188, 2386, 3612, 4878, 6196, 7578?\n\"Answer: 2*o**3 + 2*o**2 + 1178*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2 - 3*t + 3*t + 3*t - 9*t**2 + 0*t + 1. Let f(h) = 18*h**2 + 3 + 4*h**2 - 5*h - 4*h**2. Let p(l) = 5*d(l) + 3*f(l). Differentiate p(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65370 = -15*o + 22*o - 9*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = -2*t - 120, 4*t + 3*m = -226. Let f = t - -113. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4001*l**3 - 4*l**2 - 2*l + 17. Let g(x) = 6001*x**3 + 6*x**2 + 3*x - 27. Let z(h) = 5*g(h) + 8*i(h). Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7137*o**2 - 2091431793 - 10051744087 - 16978923*o - o**3 - 1321110059 = 0 for o.\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000533427132 to seven decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.15 (b) 5 (c) -2233\/2 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 - 198. Suppose f - 3997 = -i, 472 = f + t*i - 3517. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/24 - 20*k**2. Let n(g) = -23*g. Determine u(n(l)).\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d + 195 = -5*c, 0 = -4*c + 41159*d - 41156*d - 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(7) + -3 + -1.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -5335.\nAnswer: 432\/5335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(245) + sqrt(245) + 3)**2*-2.\nAnswer: -4428 + 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -609294126 divided by -14507003?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/(c*c**(-1\/2)))\/c)\/c)**(-4\/3))**(-16) assuming c is positive.\nAnswer: c**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -57*t + 297. Give d(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1159 times -22?\nAnswer: 25498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4852 divided by -1213\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32291\/43 - -751. Suppose -4*d - 4 = 0, -3*s + 2*d = 6*d + 49. Let x = s + 14. Is u < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -241 + 225. Let o(w) = -w**3 - 14*w**2 + 16*w - 16. What is the tens digit of o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**4 + 7*v - 7*v)*(2*v + 0*v + 0*v).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2336 is divided by 1164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.05, 1\/5, -4, -23?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, t: 5}. What is prob of sequence otoo?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.094 and -0.09.\nAnswer: 0.00846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 688\/12 + 6\/9. Factor -243*b**3 + 6*b + n*b**2 + 0*b + 90*b - 193*b**2 - 12.\nAnswer: -3*(b + 1)*(9*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573333911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 13 - 2*d**2 + 15.\nAnswer: -2*d**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*k = -6, -3*y - y + 5*k = -34. What is the derivative of y - 33*d - 26*d + 67*d wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213313 (base 11) in base 4?\nAnswer: 1103101321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059603837?\nAnswer: 31, 4079, 40013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 33. Let t(m) = -6*m + 268. Let r be t(35). Let n = r + q. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 31, 21, 11?\n\"Answer: -10*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 16\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37024 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 - -160. Let g = o - -12. Solve -g + 0 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 131, 142, 153, 164, 175, 186?\n\"Answer: 11*k + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kbrb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -148*o**3 - 1 - 26*o**3 + 5 - 11*o - 5*o**2. Let c be (-2)\/6 - 44\/(-6). Let w be b(c). What is w rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100bc4 (base 13) in base 5?\nAnswer: -43421222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-13)*(-2)\/(-8)*(-118)\/(-4779)*-81?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8, 4, -5 in descending order.\nAnswer: 11, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235\/31997 or 0?\nAnswer: -235\/31997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 - (-3 - -1) - (0 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (12 - 12) + (3 - 2) + 4 + -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*(r*r**(-4\/7)*r)\/r)**19 assuming r is positive.\nAnswer: r**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:21 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2\/5, 1, -11, -2119 in decreasing order.\nAnswer: 2, 1, -2\/5, -3, -11, -2119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 10:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 12, 7146\/31, -3, -5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1777 + -1761. Solve d*h + 5 = 21*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1940*n - 25970. What is i(-13)?\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 + 176. Let d = x + -42.9. Let a = d + -7. What is the closest to a in 0, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 42 = 12. Let f be 6\/9 - 21\/(-9). Suppose g*u = f*u. Let n(q) = -q**3 - q**2 + q - 6. Calculate n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -302 (b) 0.5 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2761*z + 3 + 353*z**2 - 2 + 2761*z in the form b*z + l + x*z**2 and give x.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 314, 215, 72, -121, -370?\n\"Answer: -d**3 - 16*d**2 - 44*d + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30690316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0588458 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Let p(h) = 2*h + 2. Let c(u) = 1. Let i(w) = 2*c(w) - p(w). Calculate s(i(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 110*c**3 - c**2 - 6*c + 7. Give i(1).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3870 divided by -645\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 - 2*i - 3. Let k(z) be the third derivative of z**6\/60 - z**4\/12 - z**3\/3 + 85*z**2 + 10. Calculate 3*a(d) - 4*k(d).\nAnswer: d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 7:01 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 - h - 1. Calculate the remainder when 38 is divided by g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 182?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(2) + 0)*-2 + (-2 + sqrt(162))*-6)*6)**2.\nAnswer: -43200*sqrt(2) + 185184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*h + 4, -4*h - 1 = 2*f - 5. Suppose 2*g = f + 4. Calculate the lowest common multiple of g and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/((-2)\/(-8)). Let t = -32 + 30. Put t, -7, u in decreasing order.\nAnswer: t, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from msmmmmmmmmmsmsmmmmmm?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40 - ((-10)\/(-4) - (-15)\/(-30)). Let c = -32 + a. Let g(t) = t**3 - 4*t**2 - 8*t + 2. Calculate g(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -55, 4, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 1 - 0 - (-245 + 266)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.34 (c) -2988\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -78 (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -22, 25190, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*5*1246\/(-210). Which is bigger: 1158\/13 or k?\nAnswer: 1158\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2 + 1676347*k + 502905.\nAnswer: -(k - 167635)*(10*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7316988 divided by 84\nAnswer: -87107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 1, j: 2, t: 2, f: 1, y: 1}. Give prob of picking 1 t and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221863959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22447356 or 22447358?\nAnswer: 22447356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.726 * -12.\nAnswer: 140.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 0.36. Let i = -130 - -130. Suppose i = -16*s + 4*s + 36. Which is the closest to 1\/3? (a) s (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**3 - 32*l. Let s(h) = -2*h**3 + 14*h**2 + 13*h. Let q(x) = x**3 - 6*x**2 - 6*x. Let i(w) = 7*q(w) + 3*s(w). Give 3*c(j) - 32*i(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5661210?\nAnswer: 2, 3, 5, 188707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - 12*g + 5*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 + -104307?\nAnswer: -10424a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*r + 307*r + 291*r.\nAnswer: -105*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5258*s + 1234522 + 1087476 = -5251*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k. What is z(10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a02 - 64?\nAnswer: -11a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/((-1*sqrt(99))\/sqrt(9) - sqrt(11)) + (0 + (sqrt(44)\/sqrt(4))**2 - (1 + sqrt(22)\/sqrt(2))))*-2.\nAnswer: -20 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -39. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.312 plus -19088857199?\nAnswer: -19088857199.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let f = -745 + 744.5. What is the smallest value in -5, z, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 3*p**2 - 14*p + 56. Let o be j(-4). Solve 1\/4*a**3 + o*a**2 + 0*a + 3\/4*a**4 + 0 = 0 for a.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172.796 + -177.2. Let v = p + 0.004. Let q = 6.6 + v. Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14 + 906*d**2 - 1743*d**2 + 8*d + 828*d**2 + d**3. Calculate k(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.74 plus -0.4?\nAnswer: -16.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(396)) + -1*1*sqrt(11)*2)**2*-1.\nAnswer: -12752 - 408*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - (-152)\/56. Suppose -j + 3*h + 1 = -2*j, -y*h - 13 = -5*j. Is 3 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**5 - k**4 + k**4)*(-2 + 2 - 2) + (0*k + 0*k - 5*k)*(-5*k**4 + k**4 + k**4).\nAnswer: 19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-420)\/6)\/(-10))\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24428 and 405623?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, -0.0793, 3, -1\/6, -3, -7\/4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223032 + -1300312?\nAnswer: -2130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 21aaa?\nAnswer: 21aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*v. Let s(m) = m + 1. Let b(r) be the second derivative of r**4\/12 - r**3\/6 - r**2\/2 - 12*r + 28. What is v*b(f) + 3*s(f)?\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -26, 28, 136, 316, 586?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/19 in 2\/13, -4\/3, 113.38, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + b38857?\nAnswer: b38852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -4815.2\nAnswer: 385.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38 and -18435848531.\nAnswer: -18435848569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/6)\/(-2*4\/8). Suppose -a*l - 2*y = -410, 2*l + 2*l - 548 = -3*y. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -322611, -322885, -323159, -323433?\n\"Answer: -274*k - 322337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93004 by 4.\nAnswer: -23251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 18. Let m(n) = -n**2 - 7*n + 11. Let h be m(u). Suppose v + 98 = h*v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from acadacdcaca?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -16. Let k be (2\/u)\/(5\/75). Let q(s) = -s**3 - 9*s**2 + 9*s - 2. List the prime factors of q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -75639?\nAnswer: 7\/75639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*s**3 - 122*s**2 + 163*s - 10.\nAnswer: -(s - 1)*(s + 5)*(31*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s - 94726 = -7393. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 6, -32, -18 in increasing order.\nAnswer: -32, -18, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 27536268 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 5 (b) 3 (c) -4\/9 (d) 4\/19 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/280 and 35\/16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27397724 is divided by 978?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 136*r - 6*r = -196*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - w)*(-7 + 7 + 11).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -585 and -2.\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**6\/120 + n**5\/60 - 2*n**2 - n. Let c(p) be the first derivative of w(p). Factor c(q).\nAnswer: q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 910 and 622310.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/11 - 2148*l**4\/11 - 4*l**3\/11 + 4296*l**2\/11 + 2*l\/11 - 2148\/11 = 0.\nAnswer: -1, 1, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -39172.181?\nAnswer: -39168.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44307372*x**3 + 4*x**2 + 14059872 wrt x.\nAnswer: 265844232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 12. Let s be r(6). Let h be (s\/(-10))\/((-1)\/35). Calculate the greatest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/20*k**5 + 0*k**2 + 0 - 19\/6*k**3 + 38*k - 1\/12*k**4. Find the second derivative of x(d) wrt d.\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3863 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: Let x be -2 + 120\/(9 + -3). Let j(z) = -z**2 + 7*z + 2. Let i be j(0). Solve -i*w - x = -22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 10*x**2 + 19*x + 2. Determine q(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9687.072 centuries?\nAnswer: 968.7072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -1 - (44 - -33 - (17 + 17))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 439*q**2*s + 2208*q**2*x + q**2 - 674*q*s*x + 3*q*s + q + 10*s*x - 510*s + 10 wrt x?\nAnswer: 2208*q**2 - 674*q*s + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*c = 12*c + 6, 2*s + 8 = -4*c. Let g(y) = 4*y**3 - 3*y**2 + y + 2. What is g(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-6)*b)\/(b**(-1)*b))**(-10) assuming b is positive.\nAnswer: b**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/20 - 13*z**4\/12 + 17*z**3\/6 + 21*z**2\/2 - 11*z - 32. Calculate u(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from aggagjggagaagja.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725 divided by -2?\nAnswer: -6725\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*k + 78*j**2 + 41*j*k**3 + 3*j*k - 2 wrt k?\nAnswer: 2*j**2 + 123*j*k**2 + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 4*k + 0*k)*(-29*k**3 + 27*k**3 - 2*k + 0*k) as w*k**3 + m*k + p*k**2 + o*k**4 + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-4)\/6*9. Let l(f) = -f**3 - 5*f**2 + 4*f - 1. What are the prime factors of l(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -1. Let a = -25 - -29. Sort a, -2, m in descending order.\nAnswer: a, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 23*v**4\/4 - v**2 + 41*v - 55. What is the first derivative of r(c) wrt c?\nAnswer: 69*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 7*n - 2. Determine h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 42 - (-38 - -45 - -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12107038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04218 + -0.44218. Which is the closest to 2\/9? (a) 5 (b) -42 (c) p (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**4 + 24541*g**3 + 4246*g + 13 wrt g?\nAnswer: -36*g**2 + 147246*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g - 21 = -47*g. Suppose -g*r + 19*r = 2340. Suppose -125 = 5*z - r. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaarlqrrlqlq. What is prob of picking 1 q, 1 l, and 1 r?\nAnswer: 27\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 3. Let i = 4 + a. Suppose -y - 6*v = -v + i, -3*y + 5*v + 37 = 0. 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 u be (-1)\/((-20)\/(-25) - 1). Solve c - 3 = -u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, v: 2}. What is prob of picking 3 t?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 3) + 6\/3. Suppose -2*z = y*u - 38, -4*z + 0*u = u - 94. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-20))\/(-4*(-6)\/192)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Let r be l\/(-1) - (-5 - -1). Let g(f) = -5*f**2 + 2*f - 2. Let y(t) = -6*t**2 + 3*t - 3. Calculate r*y(h) - 3*g(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k - 98372 - 37*k**2 + 3*k**3 - 6*k - k + 98372 as l + g*k**2 + a*k + y*k**3 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:02 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 9*a - 5. Suppose 8*o - 610 = -522. Determine v(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let i = 378 - 11339\/30. Let o(c) be the third derivative of 0*c**3 + 0*c + 0 - 5*c**2 + i*c**5 + 0*c**4. Determine m(o(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + h**2 - 50793 + 50793 - h**2. Let t(f) = -311*f**2. Determine t(p(a)).\nAnswer: -1244*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus 0.550907482?\nAnswer: 11.550907482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -4\/15, -40, 5, 0, -115?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/48845916 and 29\/113973804.\nAnswer: 341921412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 3, -5, 26 in decreasing order.\nAnswer: 26, 3, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1003\/45 + 206\/9. Factor 2\/5*m - v*m**2 + 3\/5*m**4 + 0 - 2\/5*m**3.\nAnswer: m*(m - 1)*(m + 1)*(3*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-4)\/(-4))\/30. Let x(n) be the second derivative of -n**2 - n - n**4 - 2\/5*n**5 - 4\/3*n**3 + 0 - m*n**6. What is j in x(j) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {e: 1, r: 12, f: 1, m: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3535, -6055, -7611, -8203, -7831?\n\"Answer: 482*p**2 - 3966*p - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*l + 8 = 0, 3*k + 15 = -l + 7. Let x = k + 7. Suppose -3591432 = x*u + 408568. Round u to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:24 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 41*x**3 + 666*x**2 - 666*x**2 to the form f*x**3 + w*x + u*x**2 + q and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -13*p + 31960. What are the prime factors of p?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**6\/120 + t**4\/12 + 2*t. Let x(c) be the third derivative of a(c). Let l(i) = 4*i - 3*i - 2*i. What is x(l(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 0\/(2\/2). Let v = 122 + -120. Which is the biggest value? (a) v (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1734 and 10209.\nAnswer: 5900802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m**6*p**2 + 4*m**3*p**2 + 6*m**3*p - 14*m**2*p**2 + 13*m**2 wrt m?\nAnswer: 840*m**3*p**2 + 24*p**2 + 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6 + 1068*l**5 + 18*l**2 + 36*l wrt l.\nAnswer: 240*l**3 + 64080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3770)\/(-10) + -10)*4*1. Suppose t = 4*a - 4016, -3*a + 5*t + 1561 + q = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 18*y + 18*y**2 - 21*y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -3333, -11251, -26675, -52107, -90049, -143003?\nAnswer: -213471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11338 + 11334. Which is the nearest to -4? (a) 9 (b) -2\/7 (c) t (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -13, 12, -10\/11, -22?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1))\/(4\/(-8)). Find the second derivative of -12*t + 13*t - 2*t**3 + n*t**3 - t**5 wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 67 = 2. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954976650?\nAnswer: 2, 5, 11, 421, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52335 + -3?\nAnswer: 52332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -376 and -2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-3 + (sqrt(684) - (sqrt(684) + 2 + 1)) + sqrt(684) + -1)*-4 + -3)**2)*-4.\nAnswer: -46296 + 4800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.36212 seconds to days.\nAnswer: 0.0006754875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/5)\/(-4)*(-110)\/924?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3 - 4?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -341.4554 and -1941.\nAnswer: -2282.4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*s**3 - 3 + (3 + 3*s**2 - 3)*(-1 + 1 + 4*s) to z*s + g*s**3 + m*s**2 + b and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 897442790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -12.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 - 167. Calculate the lowest common multiple of 18 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125\/639461701 + 47179223399425367\/99116563655. Let c = h + -476008. Let x = c - 29\/62. Calculate the common denominator of -29\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 32*m + 11)*(3 + 1 - 2 + (-2 + 1 + 3)*(-4 - 2 + 3) + 0 + 0 - 1).\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20.4 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i**3 + 2*i**2 - 6*i. Let s(y) be the second derivative of y**5\/20 - y**3\/6 + 18*y. Calculate 6*s(b) - v(b).\nAnswer: -3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2 + 2*p + 6447?\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:31 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = 1045. Let y = -145 - j. Let k = -25 + y. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576959 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 686846.6 millilitres in litres?\nAnswer: 686.8466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 3*p**2 + 2*p + 1. What is the derivative of u(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7))**(-3\/10)*((i*i*i**0)\/i)\/(i\/i**(2\/73)) assuming i is positive.\nAnswer: i**(1553\/730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33360 divided by -2595\nAnswer: -2224\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7784559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*v - 72*v + 43*v + 19*v to k + z*v and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351 - 331 - (-96 - -21)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 4772712?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + (-8 - -10) - -24) + -11 - 56?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/20 (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-5 - 15*s + 3 + 26*s).\nAnswer: -22*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-0.0469.\nAnswer: -0.03752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -1) + -20 + (-13 - -15 - -21)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t - 38*t + 26*t - 120. Solve 2*u = -2*y + t, -4*u - 20 = -14*y + 9*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163026283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 - (-1 + -6) - 110. Let t be (d\/9)\/((-23)\/69). What is the greatest common factor of t and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186449357*m*w**4 + m*w**2 + 8*m*w + m + 2*w**6 - 2*w**2 - 269*w + 5 wrt w?\nAnswer: 4474784568*m*w + 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -30*i - i**2 - 5180*i**3 + 5181*i**3 + 7*i**2 + 22. Let r be l(-9). Calculate the highest common divisor of r and 1568.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) -11 (c) 2\/11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - 3*y + 51, 4*y + 4 = 0. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655570?\nAnswer: 2, 5, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 732480*u + 8057164. Determine c(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-465)\/(-35) + 4\/(-14). Let p = s - 10. Let i be (-19)\/30 + p\/6. What is the second biggest value in 1, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23013, -23016, -23021, -23028, -23037?\n\"Answer: -m**2 - 23012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -8, -33 in ascending order.\nAnswer: -33, -8, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 15236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 + -3 - (3 - 220)) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4\/5 + 711*k**3\/5 + 15894*k**2\/5 + 18516*k + 15480 = 0.\nAnswer: -10, -1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 11*n = -i + 19*n + 10, -5*i + 3442*n + 39 = 3441*n for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*t + 6*t - 16 - 15*t)*(-5 + 5 + 9*t) to the form a*t + p*t**2 + g and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 4*b + 24, 0 = -v + b + 5 - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-36)*(5320\/28200 - 2\/(-30))?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 147. Let l(w) = -3*w**2. Give l(z(n)).\nAnswer: -75*n**2 + 4410*n - 64827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m - 3. Let w be p(-1). Suppose -k + b + 286 = k, -5*k + w*b = -715. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0*h**2 + 6*h + h**2 - 1 + 2. Let r(g) = -g**2 - 5*g - 4. Suppose -4*t + 21 = 41. Let a be r(t). Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-2)\/(-24)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -1594\/7. What is the closest to -2\/5 in 1\/3, 1\/8, z, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15 + 46*f**2 - f - 84 + 13*f**2 - 30 with respect to f.\nAnswer: 118*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h + 2*c, h - 3*c - 6 = -4*h. Let l be (-40)\/(-13) + 44\/682 + (-285)\/2015. Solve -3*p = -3*u - l, 2*p - h*p + 16 = 4*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 3*t - t + (0 + 0 - 1)*(3 + t - 3) + t + 4*t - 6*t + t + 1 - 1 + 65*t + 47*t - 266 - 113*t in the form i*t + p and give p.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-13 - -29)) + (-1 - -20) - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p + 20 = 0. Suppose 0 = -4*q + 13 - 1. Suppose -s - 5 = 3*l, 2*l + 5 = -q*s - 2*l. What is the nearest to s in -0.1, 1\/6, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -145. Suppose 2*w = -5*r + 396, w + r - k - 126 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -248556636 divided by -6\nAnswer: 41426106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 2. Let d(y) = -3*y**2 - 6*y + 10. Determine -d(o) + 6*p(o).\nAnswer: -3*o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and ((-45)\/(-30))\/(3\/40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 32*p - 5*i + 14735 = 0, -11813 = -4*p + i. Calculate the smallest common multiple of 2460 and p.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/3 greater than or equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 + 3*h**4 + 10*h**4 - 12*h**4 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34133\/3 - -11376. Let g = -0.3 + 0.8. Sort 3, g, i.\nAnswer: i, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrwrwrwrwrwrwwwwrw. Give prob of sequence wrr.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (0 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111120 - -1121211111?\nAnswer: 1200100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - (27\/(-6) + -8 + 14). Suppose 5*l + 158 = -82. What is the biggest value in -2, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v - 6*v - 11*v + 6827*v**3 - 17*v + 8*v.\nAnswer: 6827*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + (-23 - -18) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2. Let u be 5\/(5\/9) + 2. Let s(q) = q**3 - 7*q**2 + 5*q - 7. Let r be s(6). Let t = u + r. Let a(v) = 5*v**2 - 1. Calculate t*a(c) + 3*i(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158 and 0.292?\nAnswer: -46.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 61. Let o be b(17). Let x be o + (5 - (4 + -6)). Factor 0*q**2 + 1\/5*q**3 + x*q - 1\/5*q**4 + 0.\nAnswer: -q**3*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -3\/200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -5, -3\/4, -2, -7, 5 in descending order.\nAnswer: 5, 0.01, -3\/4, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 + 3*f - 1. Let k(d) = -11*d**3 + 10*d**2 - 23*d - 4. Let q(i) = -5*c(i) - k(i). What is q(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -53*p - 119. What is the remainder when 118 is divided by t(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4409 (base 13) to base 10\nAnswer: 9473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111 in 2, -8\/3, 0.03, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 9*t + 12. Let c be d(-9). Let v be c\/54 - (-64)\/(-207). What is the smallest value in v, -3, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18285736*f**3 + 28823256*f**2.\nAnswer: 109714416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) - (-110)\/7. Suppose -3 = 5*r - 2*t + 5, -r - 4*t + n = 0. Suppose 25 = 2*a + 3*a. Solve r = b - a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/1373, -2\/13, 1785, 5?\nAnswer: 1785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccewccwccc. Give prob of sequence cwec.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.4 minus 23779.95547?\nAnswer: -23720.55547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 2, -7, 4 in descending order.\nAnswer: 4, 3, 2, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 15 + 3 = -4*o, -2*q - 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115607355 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/5)*g\/g**(3\/7)*(g**(-1\/4))**24*(g\/((g\/(g**(2\/5)\/g))\/g))**14*(g**1)**(-32) assuming g is positive.\nAnswer: g**(-1093\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5571?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 + t - 6. Let q be x(5). Let s(c) = -3. Let m(d) = d - 1. Give q*s(h) + 3*m(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -597 + 2996\/5. Let p = -42903 + 2617145\/61. Let t = p + 4311\/1220. Calculate the common denominator of v and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-486)\/264*(-824)\/1854.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*l - 55 + 33, -5*h + 50 = 5*l. Solve h*d = -3*o + 16, 0 = -0*o - 5*o - 4*d + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 504\/240 - (-8)\/20*1. Let p = -2 - -10. Sort p, h, -5.\nAnswer: -5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/214, -3, 0.9, 4 in descending order.\nAnswer: 4, 0.9, 1\/214, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 817 and 300651?\nAnswer: 245631867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 4*w, 2*p + 2*w + 13 - 3 = 0. Let g be (3\/2)\/((-21)\/560). Let k be 2\/(-7) - g\/(-7). Sort k, 3, p.\nAnswer: k, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*o + 31, -2*o - 12 = 20*n - 21*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzkzzz. What is prob of sequence zzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 342 = 30*v + 66*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -19\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -3*r - 1\/2*r**3 + 0 + 1\/4*r**4 - 3\/2*r**2 - 1\/20*r**5. Let l(o) = o**2 - o - 1. Determine -3*l(d) + z(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -27*b. What is u(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 2*w - 5*m - 27, -4*w - 21 - 23 = -5*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -92. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.92795 - 0.07205. What is the closest to r in 0.1, -0.5, -1\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 10, 20, 32?\n\"Answer: q**2 + 5*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/14 and -86\/59283.\nAnswer: 118566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20303 is divided by 188.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 9*r + 4*r + 26, -4*g - 20 = r. Let x(o) = -o**3 - 5*o**2 + 6*o + 2. Let f be x(g). Is (0 - f\/6)*-33 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Let d(w) = -320*w. Calculate q(d(y)).\nAnswer: -640*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 355 + -351. Suppose -4*g = -3*i - 807, x*i = -7*g + 12*g - 1010. What is the greatest common divisor of g and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(832) - sqrt(832)*5) + (sqrt(273)\/(1*sqrt(7)))\/sqrt(3).\nAnswer: -31*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14168*l**3*t*x**2 + 2*l**3*x + l**3 - 136*l**2*t**2*x**2 - 9154*l**2*t**2*x + l*t**2*x + 2*l*t**2 wrt x?\nAnswer: 28336*l**3*t - 272*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200504*y**2 + 0*y - 200502*y**2 + 0*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 5*d - 27, 5*z + 5*z - d = -24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 20. Suppose -15*h = -27*h + 24. Solve -h*y = -f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240b (base 14) to base 11\nAnswer: -47a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(1\/4))**(7\/5)*u**0*u\/(u*u**(-2))*(u**2*u**5*u)\/((u\/u**3)\/(u\/u**(2\/11))) assuming u is positive.\nAnswer: u**(3359\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*u - 4, 6*a - a + 4 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2315*s**3 + 6941*s**3 - 2298*s**3 - 2320*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -0.4 (c) -118 (d) -4\/3779 (e) 2\/13 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2053\nAnswer: 2\/2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542732 is divided by 3274?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378 at least 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/30 - 67184\/2720.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24520 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k + 0*k)*(5 - 3 + 0) - 7*k + 2*k + 2*k + (-3 - 3 + 4)*(5*k + k - 4*k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/7, 89\/4, 1\/8, 1\/10, -5 in descending order.\nAnswer: 89\/4, 0.5, 2\/7, 1\/8, 1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - -4476. What is the remainder when x is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.47 - -4.2. Let k = -59.651 - -59.951. Which is the closest to 2? (a) u (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 1, c: 2, h: 1, n: 1, t: 1}. Give prob of picking 1 c and 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -5*i**9\/36 + 8*i**7\/105 + 52*i**5 + 977*i**2. What is the third derivative of f(g) wrt g?\nAnswer: -8400*g**3 + 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 959 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-5))\/(-4)*(4 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in -9, -1, 340\/7, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -14. Solve b = 3*n - 4*t - 10, 0*n - 6 = -n + 2*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177 - -15. Let j = -269 + z. Let w = j + 94. Is 0.1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*((1*(1 + -4*sqrt(833)))**2 - (-5*(2 + sqrt(833)) - (sqrt(833)*2 + 5))**2).\nAnswer: -27712 - 1526*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-2)\/((-2)\/7)))\/((-916)\/(-3206))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 91 - 79)*(-60 - 4 + 12)*(-5*z + 2*z + 0*z).\nAnswer: -936*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0 + 0*n**2 - 23\/6*n**3 - 222*n. Let q(v) = -v - 3 + 3. Determine r(q(f)).\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11193233 rounded to 4 dps?\nAnswer: -0.1119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -2\/17, -191, 15?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 12, -4*w - 28 = -5*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*l**4 - 146*l**4 - 6*l + 2*l**5 wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160637.\nAnswer: 160637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, and 1 m when three letters picked without replacement from {b: 2, i: 2, m: 1, k: 1, l: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.30907400586 + 0.01?\nAnswer: 540.31907400586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 + 130\/300. Let u = 1501520\/11 - 136594. Let l = -92 - u. Which is the fourth biggest value? (a) -4 (b) l (c) r (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 - -171. Solve 0 = -4*f - 3*l + 11, -3*l + 2 + g = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*y = 335*y - 52. Let o be 15\/2*(-4)\/(-6). Put 1, y, o, -3 in decreasing order.\nAnswer: o, y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*r + 2076 + 25795, -z + 4*r + 5585 = 0. List the prime factors of z.\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 + 0*l**2 - 2*l**2)*(-l**2 - l**2 + 0*l**2) + 2*l**4 - 2*l**4 + l**4 to s*l**3 + f*l + a*l**2 + v + u*l**4 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/12)\/(4\/30). Suppose -14 = -m - s. Let d = 13 - m. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 523418 = t, 5*t = 3*z + 379373 + 2237749. Suppose t - 1683422 = 4*o. What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + o**3)*(1 + 3 - 2) - 11*o**3 - 258 + 258 + 2*o**2 - 1253 - 3*o**3 + 2*o + o + 1252 as l*o**3 + c*o**2 + s*o + p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 - 112*l - 623. Let w be d(-5). Sort 5, -2, w, -8 in descending order.\nAnswer: w, 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45446772 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 272 = -3*s, -199 = -4*t - s + 73. Suppose p + 87 + 260 = 5*f, -2*f = -4*p - 128. Is t greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 96*c**2 + 92*c - 33. Let g be x(-31). Let s(n) = 2*n**3 + 3*n**2 + 4*n + 3. What is s(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from ybgabbbyyaaably.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*s + 22 = 7, 0 = 4*p + 2*s + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*u - 30, -2*u + 17 - 1 = 5*k. Solve k = -z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14 + 4 - (-8)\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 1\/(60\/28 + -2). Suppose 5*l = -3*k + r + 2, 2*k - 4 = l. Solve 4*c - 10 = k*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 - 5*y**2 + 7. Let z(o) = 2*o**2 + 1081 - 1075 - 6*o**2 + 3*o**3. Determine 4*r(a) - 5*z(a).\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.156, 50, 61, -5 in descending order.\nAnswer: 61, 50, -0.156, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17330105 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -967.781.\nAnswer: -135.48934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) - 77\/(-132).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*x**2 - 26*x**2 + 54*x**2 - 2*x to v + n*x**2 + k*x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujdyuyuuvvuduvww. What is prob of picking 1 d and 1 j?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + a**3 - 2*a**3)*(-14*a + 12*a - 11*a + (-2*a + 0*a + 3*a)*(1 + 0 + 1) + 11*a - 68*a - 3*a).\nAnswer: 284*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*(-1029)\/(-98)*(-3)\/(-7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**5\/60 - m**3 + 10. Let z(d) be the third derivative of g(d). Let q(j) = -10*j. Give z(q(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 14 - (158\/20 - 4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -664*81.47.\nAnswer: -54096.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**3 - 831*j - 629*j + 1448*j.\nAnswer: -32*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*s - 2*s + 1288 = -95*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n = 4*i + 18*n + 23, 0 = -4*i - n - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*f - r + 3, 2 = 3*f - 4*r. Suppose -5*v + 20 = -f*m - 17, -3*v = -4*m - 39. Let z(u) = 10 - 4*u - 10. Let q(c) = c. Give m*z(x) - 26*q(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54600 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*v - 6*v**2 - 20*v + 2*v**2 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -9. Let m = 17 + t. Let r = 9 + -14. Which is the nearest to 0.1? (a) r (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 - 2*y + 14*y**4 - 16*y**4 - 3*y**3 as l*y + u*y**4 + a*y**2 + d*y**3 + k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1189 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20976.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2000)\/(-1000))\/(11\/(2046\/12)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68722, 67574, 65664, 62992, 59558?\nAnswer: 55362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.017 and 5.3.\nAnswer: -0.0901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 956 - 920. Suppose 0 = 3*b - i - 2662, -10 = -38*i + z*i. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:53 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 14}. What is prob of picking 3 p and 1 m?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -2*i. Let b be (2\/(-6))\/((-154)\/(-84)). What is the second smallest value in 1\/5, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 y when four letters picked without replacement from {y: 3, c: 1, m: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1373 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (13 - (-2 + 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbs when three letters picked without replacement from sbbbbsbb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -0.6. Suppose -6*c = -0*c + 30. What is the second biggest value in c, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 43*c - 17. Let f be x(-44). Suppose -152*d + 155*d = f. Solve -d*s = -0*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.7 take away 1.97?\nAnswer: -22.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s = -107 + 817 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(23 + -5) + -3)\/(-10 + (-21)\/14)?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0112 - 3.4612. Let j = -2.45 + q. Is j != 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 21*h + 4 - 12484*h**3 - h**4 + 100*h + 12485*h**3 in the form a*h + l*h**3 + j*h**2 + p + o*h**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 114*j**4 + 419*j**3 - 13626*j**2 + 13284*j + 164808 = 0 for j.\nAnswer: -109, -14, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**2\/2 + 11*q + 2. Let f be r(10). Suppose f = 5*v - 4. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4082 + -22?\nAnswer: -40a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 4, -3933, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1649, 3358, 5067, 6776, 8485, 10194?\nAnswer: 11903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((323\/38)\/(-17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygygy. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -250 - -251. Let z(r) = -11*r + 5. Let c be z(v). Let t(a) = -a**3 - 5*a**2 + 10*a + 8. Give t(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3387712 - -3?\nAnswer: -338770f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 16 = -3*l + 4*a, l + 19 = 3*a. Let v be (l + 21\/(-9))\/(1\/(-3)). Find the second derivative of -27*z**4 + v*z + 27*z**4 - 15*z**5 wrt z.\nAnswer: -300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57418.34 years to decades.\nAnswer: 5741.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 444 (base 6) to base 4\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121221 - 2?\nAnswer: -12122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491117.721 - -490757. Let k = 361 + l. Let x = k + -0.29. What is x rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -165*((-12)\/(-20))\/((-1)\/(-2)). Let u = p + 222. Calculate the remainder when u is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 37 (c) 1 (d) -7.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 2*j - 1. Let o be a(4). Let m be 3*6\/o + 7. Suppose -9 = -m*n + 16. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 16. Suppose 8*x - 5*x = p. Suppose 4*b + 4*d - 22 = 2*b, -d - 22 = -5*b. Solve -5*k + 3*o = 12, x*k + o - 2*o + b = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a**2 + 0*a**5 + 8\/7*a**7 + 4 - 2*a**3 + 0*a + 0*a**6 + 0*a**4. What is the third derivative of y(z) wrt z?\nAnswer: 960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 3*r - 2. Let i(t) = -t + 16. Let m be i(14). Let n(b) = -4*b**2 - b + 8*b**m + 3*b - 2 - b**2. What is -3*n(a) + 2*o(a)?\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223.06 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 12:23 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiit. What is prob of picking 4 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (52560\/1898)\/(-180) - (72\/182)\/(110\/(-63))?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 2*s + 3*x, -5*x = 5*s - 5. Let r(n) = 6*n - n**2 + 3*n**2 + s*n**2 - 3. Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -1148, -3, 2, 4.\nAnswer: -1148, -3, -2, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 64 + 3*d - 18618*d**3 + 37228*d**3 - 1047 - 18610*d**3 in the form a + s*d + m*d**4 + x*d**3 + n*d**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(931)*1 + sqrt(931) - (sqrt(76)\/sqrt(4) + 1)**2)*-6*-5.\nAnswer: -1440*sqrt(19) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (10 - 1) + (-35 - -30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5\/4 - 117*j**4\/2 - 1323*j**3\/4 - 486*j**2 = 0?\nAnswer: -72, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a. Let j(x) = 10*x**2. Give p(j(y)).\nAnswer: -110*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*1*(-1 + 0). Let z = n + 14. Suppose -9 = -4*c + 3. Is z greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6411521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22763734 and 220472?\nAnswer: 91054936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 8 = -13*j. Let q be 304\/28 + (39\/(-21) - j). Factor -3*k**3 - 5*k**3 + q*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 350433?\nAnswer: -350454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 7:25 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -5 - 2) + 4*9. Suppose 4*u = -2*q - q, -2*q = 5*u. Suppose -888 = -4*o + 4*v, v - 3*v + 4 = q. What is the highest common factor of o and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1756 and (-7068)\/3432 + 4\/(-52) + 5.\nAnswer: 19316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Let s be (4 + (1 - 6))*-4. Calculate the greatest common divisor of m and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, -4, 100, 4, 60 in decreasing order.\nAnswer: 100, 60, 4, 0.33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93*(1\/(-4) + (-604)\/(-2288)). Let r = -16\/11 + i. What is the nearest to 0.08 in r, -1\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*b - 28 = 0, -181*b - 13 = 3*s - 176*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g**(-6)*g)\/g)\/g)*g)\/(g\/(((g**(2\/31)\/g)\/g)\/g)))**(1\/8) assuming g is positive.\nAnswer: g**(157\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v**3 + 0*v**3 + 2*v**3 + (-v**2 + 0 + 0)*(-2 + 2 - v) - v**3 + v**3 + v**3)*(-16 + 6 - 15).\nAnswer: -425*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 143, 338, 623, 1004, 1487?\n\"Answer: y**3 + 36*y**2 - 4*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 3. Determine v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.882 - 0.182. Let r = 60 - 68. Let y = h + r. Which is the closest to -2\/9? (a) 0.1 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-25)*7\/84?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 2. Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 27419694?\nAnswer: 301616634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 699845 + 3994655. What is p rounded to the nearest ten thousand?\nAnswer: 4690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 189866*x - 189861*x = 0, -22 = -8*t + 3*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30444 divided by -10148.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*a + 2. Suppose 5*d - 43 = -2*r + 88, -4*r + a*d = -337. Is (4 - r\/(-21)) + (-6)\/(-21) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/32)\/((-6)\/(-16)). Let d(l) = -12*l + 6*l - 3*l + 2 + l. Calculate d(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:10 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13187 + 13214. Solve 0 = c*n - 22*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*n**5 - 2308*n**4 - 38963*n**2?\nAnswer: -600*n**2 - 55392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 64935?\nAnswer: 2272725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1737785, 3475566, 5213345, 6951122, 8688897, 10426670, 12164441?\nAnswer: 13902210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 1\/4*m**4 - 2*m**2 + 1\/2*m**3 + 0 + 1\/20*m**5 + 0*m. Factor t(k).\nAnswer: 3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/w**(-3)*(w**(-3))**(-9) assuming w is positive.\nAnswer: w**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31212)\/522 + 60 - 6576\/1508.\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11993 - -14524. Calculate the remainder when m is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, -3, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -65, -0.08, -2, -13, 0.02.\nAnswer: -65, -13, -2, -0.08, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 24 = -3*n + 6*p, -n + 12 = -3*p. Suppose -5*f = 4*d - 40, 2*d - n = 2*f - 1. Solve 3*v - 14 = -m, -f*v + m = 2*m - 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5\/7 + 1136427*u**4\/7 - 3409263*u**3\/7 + 3409257*u**2\/7 - 1136418*u\/7 = 0. What is u?\nAnswer: 0, 1, 378806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aegkokeakokp. Give prob of sequence ge.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.5859 litres in millilitres?\nAnswer: 819585.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o**2 + 6 + 44*o**2 - 4 + 15*o**2 to the form a + n*o + j*o**2 and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 57. Let n(o) = o**3 + 17*o**2 + 15*o - 16. Let b be n(-16). Suppose b = u - 2*u. What are the prime factors of h(u)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 733.7 + -734. Let v = -14\/9 - -88\/45. Suppose 6*b + 25 = b. Sort b, l, v in descending order.\nAnswer: v, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27787+-2\nAnswer: -27789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -50*a + 41*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25153177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -96, -252, -468, -738, -1056?\n\"Answer: c**3 - 39*c**2 + 20*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 850 + -484. Let o be 2\/(-8) - d\/(-24). Solve -3*p = -4*m + p - 4, 0 = 5*p + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240536 and 2568.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -1004?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312049, -624017, -935989, -1247965, -1559945, -1871929, -2183917?\nAnswer: -2495909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58590*s - 93*s**3 - 3\/2*s**4 - 595350 + 897\/2*s**2.\nAnswer: -3*(s - 14)**2*(s + 45)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*x - 2*a, x - 4*a = -5*a + 25. Let j be ((-1)\/(-7))\/(18\/x). What is the closest to 2 in j, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, 1030, 1554, 2086, 2626, 3174?\nAnswer: 3730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 14, g: 5}. What is prob of sequence gggx?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.8. Let q = n - -0.6. Let y be (-64)\/140 - (-4)\/(-10). Which is the closest to 2\/11? (a) q (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:10 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73970271 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -63*m + 13. Let q be l(-5). Suppose 0 = -3*z + j + q, 0*z - 4*j - 102 = -z. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3756474 and 4887?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114061\/4 + -28514. What is the fifth smallest value in -0.1, -0.4, 22, i, 0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 766\nAnswer: 3\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/45))**(-30))**3)**(-4\/9) assuming p is positive.\nAnswer: p**(344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130453*j - 130474*j + 672 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-980)\/(-1470)*(-6)\/(-344).\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 14*r + 1. Let j be x(6). Suppose -4*k + 40 = -2*k - 4*s, 5*s = -3*k + j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n**(-3\/11)\/n)\/(n\/(n\/(n\/(n**14*n)*n*n))*n*n*n\/n**(1\/9)*n) assuming n is positive.\nAnswer: n**(578\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 27*y - 16*y + 3 + 24*y. Let z(o) = 12*o + 1. Suppose 8 = -l - l, 28 = -4*u + 4*l. Let m(v) = u*z(v) + 4*d(v). Calculate m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 9, 5, 29 in decreasing order.\nAnswer: 87, 29, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26.06 != -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from {u: 1, r: 2, k: 1, c: 1, o: 3, v: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 20*s - 77. Let c be o(-14). Suppose 11*l - 4*b = c*l + 308, b = 4*l - 314. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1135296 and 1323.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.2161169.\nAnswer: 0.2161169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.69 + -0.21. Let y = w - -2. Let u = -5 + 2. Which is the second biggest value? (a) 0 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*n + 2*w = 96*n - 7, -4*n - 4 = 4*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 37 = 5*p, -40 = 2*p + 3*p - 5*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c\/c**(-4)))**1*c\/c**(-3\/5)*c**(2\/3)*(c\/((c\/c**(2\/13))\/c))\/(c*c**2) assuming c is positive.\nAnswer: c**(-893\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:50 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 8*f - 12*f - 12, 0 = -5*f - 5*w - 15. Let z be (f + (1 - -5))*(-10)\/(-6). Solve 5*y = -z*n - 10, -17 + 3 = -3*n + 2*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022270504 rounded to 6 decimal places?\nAnswer: 0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 155204976*o**2 - 155204973*o**2 - 3*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 183 + 3 + 2?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112155 and 237.\nAnswer: 8860245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3338 + 4234. What is the remainder when j is divided by 445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 587 = 19*t - 20*t, -2350 = -4*t + 5*k. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k + 376. Let h be t(-35). Calculate the greatest common factor of 32 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -3, 0.01, -9, -34, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 4*r - 3. Let b be o(-1). Find the first derivative of -5*n - 18 - n - 5*n + b*n wrt n.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 6 = 0. Suppose -q*o = -o - 8. Suppose -11 = -5*z + o. Solve -z*c = 7 - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**4 + 3*o**4 - 2*o**4 + (258*o + 115*o**2 - 258*o)*(o**2 - 3*o**2 + 4*o**2) to the form l*o + q + u*o**2 + w*o**4 + z*o**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -273833 divided by 164?\nAnswer: -273833\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o + 191 = -89 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233150 (base 7) to base 8.\nAnswer: -467533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220201 (base 3) in base 11?\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m + 1. Let d be s(7). Let l = -46 - d. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - h + 17. Let z be p(0). Let w be 1\/(-8)*-2 - 711\/(-36). Let t = w - z. Solve 7 = t*b + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -25, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 3 - (-1 + -28 + 23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 3, 2.42, -2, 2.\nAnswer: -2, -0.4, 2, 2.42, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**2 - 5*k**3 - 3*k**2 + 2*k**3 to the form g*k**3 + p*k + w*k**2 + f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 3233475 = -8286525. Round c to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 580.9127 centuries?\nAnswer: 5809.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {a: 1, o: 2, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*y + 5 = -29, -3*y = -5*p + 36. Suppose h - p - 20 = 0. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49*(-20)\/70*215\/2580.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.42? (a) 0.1 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-2\/3)))**44\/((k\/(k\/((k**(-2\/3)\/k)\/k)))\/k)**(-5\/2) assuming k is positive.\nAnswer: k**(385\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxhshxhhxjtxjjhgxjj. What is prob of sequence hhs?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9a6 (base 13) to base 3\nAnswer: 2021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 151911058.\nAnswer: 1519110580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyj when three letters picked without replacement from wjnyjnnmmynj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3832655705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 42 = 3*w, 5*w + 110737*i = 110739*i - 61 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3198)\/(-861))\/(436\/763*(-10)\/(-16)).\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42721101 + 4?\nAnswer: -42721086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335240319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2377364*v**5 - 2689825*v**2?\nAnswer: -142641840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 595 - 591. What is the third smallest value in -2, -15, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.04, 0.2, 0, -2\/693 in increasing order.\nAnswer: -3\/4, -2\/693, 0, 0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.19 - -0.19. Which is the second smallest value? (a) 2 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/(392\/157696*66)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10460?\nAnswer: 2, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2416\/990 - (-36)\/(-90) - (-1236)\/(-5562).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*k + 6 = 2*k, 27 = 5*v + 4*k. Let j(p) = p - 12. Let z be j(14). Let d be v\/z*(-70)\/(-21). Solve -2*y - 9 = -d*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -251*t**3 + 2*t**2 - 1. Let p be n(-1). Suppose -2*z = 2*s - p, z + 3*s - 126 = -0*s. What is the greatest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454812274.\nAnswer: 2, 727406137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 208 = 24. Put s, 2, 38, -2 in increasing order.\nAnswer: -2, 2, s, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(t + t + 2 + t).\nAnswer: -12*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + l + (3 - 1 + 0)*(-4*l + 4*l - 2*l) - 1980*l + 985*l + 896*l.\nAnswer: -102*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180955, 180957, 180959, 180961?\nAnswer: 180963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -328, -331, -334, -337, -340?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047239 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17756.51 centuries in years?\nAnswer: 1775651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42151871 or 42151877?\nAnswer: 42151871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c. Let w be v(-1). Let h be 3\/(-3) - 12\/(-3). Suppose w*t - 10 = h*t. Solve 0 = -t*x + 26 - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 15) in base 13?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/8 - 825*j\/4 + 1653\/8 = 0.\nAnswer: -551, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.98213.\nAnswer: -8.94639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(6480) + 0.\nAnswer: -2 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3070588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.11299 months in decades?\nAnswer: 2.21760825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:42 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1328*d - 1816*d - 377280 = 0 for d.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 95 = 5*k, -13 = -21882*k + 21883*k + 4*b for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*x = -x - 76, 4*l + 113 = x. Let v = 69 + l. What is the highest common factor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Which is smaller: x or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*o + 20, 5*h = -o + 5*o + 132 - 243 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:09 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -34. Let w = 1.8 + -2. What is the second biggest value in w, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1317.99nm?\nAnswer: 1.31799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 times -2479\nAnswer: 118992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-2 + -4.\nAnswer: -18*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5485.4 times 957\nAnswer: 5249527.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/6*i**3 - i + 0 - 5\/2*i**2 - 1\/20*i**5 + 1\/2*i**4. Is w(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*b - 1 - 219*b**2 + 2.\nAnswer: -219*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 8, 6, -117, -1080 in descending order.\nAnswer: 8, 6, -12, -117, -1080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118.9 + -1915.\nAnswer: -1796.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9902, -1\/91 in decreasing order.\nAnswer: 3, -1\/91, -9902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/30)\/(2\/(-5)). Let i be (15\/(-3) - s) + 36. Let g = -2.1 + 1.1. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -19. Suppose f = -2*v - 2*v + x, 5*f - 3*v = 91. Suppose 5*r - 22 = -2*i, 5*i + 4*r - f = r. Solve -d = -2 - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76382 + -4?\nAnswer: 7637b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1086)\/5*(1 + -2)*2340\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4372 - 560 = 0. Suppose x = 5*q + 1. List the prime factors of q.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(27))**2 + sqrt(24)\/sqrt(300))*-4.\nAnswer: -4*sqrt(2)\/5 - 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 92 = -n, o + 2*n = 24 - 1. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -151*y**4\/6 + 2363*y**3\/3 - 2886*y**2. Differentiate h(x) with respect to x.\nAnswer: -604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 36812?\nAnswer: -147248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12*i**2 + 65*i - 77. Determine s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19009\/4 + -4708. Let k = -44 + f. Let t = 0 + 0. What is the closest to 2 in k, -0.5, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 5) + 1 + 10. Let t(x) = x + 6*x + a - 5*x - x**3. What is the remainder when 46 is divided by t(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 25*x - 19. Let i be v(24). Suppose -3*r + i = -1. Solve 4*g + 3 = 5*n, g - 5*g = -r*n + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000521487 rounded to seven dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75106\/(-517))\/(-47)*66\/(-24)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -674 - -673. Let w(f) = 2*f - 1. Let b(i) = 9*i**2 + 3*i - 9. Let j(m) = z*b(m) - 9*w(m). Suppose j(n) = 0. Calculate n.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18316 + 142965. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-40))\/((-4)\/15)*126*(-38)\/(-133)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 19446126*n**2 + 38892240*n = 0. What is n?\nAnswer: 0, 2, 6482040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82415198 and 76?\nAnswer: 164830396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/12)\/(28\/42). Let x = -15.07 - -15. Let u = -3.93 + x. What is the third smallest value in u, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2843265*d*p + 127*d - 10860 wrt p?\nAnswer: 2843265*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/20 - 16*l**2 + l. Suppose -5*q + 4*j - 9 = -25, -20 = 5*j. Let m(x) = 4*x**2 - 2*x**2 + q*x**2. Give m(t(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 26*f - 24*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1138509072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22 + 6)\/(8\/136). Calculate the highest common factor of 28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.562677 months?\nAnswer: 0.0004688975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) - (-5 + 1*sqrt(9072) + sqrt(9072))) + -2.\nAnswer: -36*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/138 and 131\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/7960 and 59\/24?\nAnswer: 23880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 12.09, 6, 3, 1\/9, 13, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40928 is divided by 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(105\/12)*-5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 at most as big as 467\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 503*l**2\/3 + 18559*l\/3 - 6019.\nAnswer: (l - 463)*(l - 39)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + 15 - 75 - 324 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (169 - 44) + -260 - -113\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Suppose -3 + 9 = k. Let a be 4\/k*42\/f. Calculate the greatest common factor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 9*c**2 - c - 5. Let k be q(-9). Let l be 2*1 - 8\/(k + 0). Which is greater: -3\/23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 14*d**2 - 18*d**2 + d + 34*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -65 = -19470\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14439906 divided by 13.\nAnswer: 1110762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -20. Let b be (v\/66)\/((-3)\/18). Factor -4\/11 + 4\/11*m**2 - b*m + 2\/11*m**3.\nAnswer: 2*(m - 1)*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -9. Suppose 2*n + 2 = 0, -59 = z*g - 3*n - 477. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 22. Let s = 60 + t. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, y: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114625.\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(22)\/(sqrt(11) - sqrt(11)*2).\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 + z**5\/60 - z**4\/2 + 5*z**3\/6 - 2*z**2 + 11*z. Let t be k(-4). Let m(l) = -l - 2. What is m(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5\/7 + 18608*o**4\/7 + 4437228*o**3\/7 + 23481544*o**2 + 314043184*o + 1431187296 = 0. Calculate o.\nAnswer: -187, -14, 4881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 61 + 79 = 0. What is the second derivative of l*s**5 - 3*s + 11*s + 18*s + 6*s wrt s?\nAnswer: 700*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152310.\nAnswer: 2, 5, 101, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/992 and -103\/10160.\nAnswer: 629920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1f (base 16) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92455651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1065*s - 7531. Determine g(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 644921\/20 - 32246. Let d(t) be the second derivative of -5\/6*t**4 + o*t**5 + 0 - 9\/2*t**2 + 2*t**3 + 36*t. Give d(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124.362*3\nAnswer: -373.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*k + 674 - 3790 = -146 + 2325 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - 56 + 56 + 2*p**4 - 7 + 8 - 10*p**4 + 1 + (5*p**2 - 2*p**2 - 2*p**2)*(-3*p**2 - 1 + 1).\nAnswer: -11*p**4 - 5*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 - 2471.22\nAnswer: -2471.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1. Let o(a) = 0 + 3 - 2*a + 2. Suppose 2416 - 2406 = -10*w. What is w*o(c) - 4*x(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/9*6)\/3)\/(10780\/(-40425)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/(3\/36). Let w(o) = 2*o**2 - 2*o**3 - 1 + 3*o**3 + 5*o**2 + 4*o - 2. What is w(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/16741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17273475, -17273474, -17273473, -17273472, -17273471, -17273470?\n\"Answer: i - 17273476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - 6*y**4 + 3*y**4 + (3*y + 2*y**4 - 3*y)*(15 - 9 + 12).\nAnswer: 31*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2 + w)*(15*w - 26*w + 12*w) to b*w + v*w**2 + g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296786.3*16.\nAnswer: 4748580.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 + 1 = 0. Let k = 143 + -143.5. Let v = -0.93 - 0.07. What is the closest to v in u, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {a: 2, v: 10, z: 2, r: 3, y: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (577*y**5 + 9*y**2 + 12 - 11 - 2*y - 583*y**5)*(-3 + 0 + 1).\nAnswer: 12*y**5 - 18*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34787018 is divided by 8696747.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 + 347*l + 2236. Let s = 10 + 19. What is the remainder when v(-7) is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -863874172, -863874173, -863874174, -863874175, -863874176?\n\"Answer: -y - 863874171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2542 + -1011.48. Let f = -1633 + j. Let i = 100 + f. What is i rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from wwllwrcrwlwrl?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -93839.0194*-0.5\nAnswer: 46919.5097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (8 - (16 + 1)) + (6 - (-3 - -10))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 68*f**3\/3 + 1222*f**2\/3 + 748*f + 363.\nAnswer: (f + 1)**2*(f + 33)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -26 + 898. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*d**3*h**3 + 2*c*d**3*h**2 + 2*c*d**3*h - 197*d**3*h**3*y**3 - d**2*y**3 - 7*d*y**2 + 2*h**2*y**2 wrt h.\nAnswer: 12*c*d**3 - 1182*d**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -9. Let z = -11 + m. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -626 by -2.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 22*z - 28260. Is 82 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15064088.\nAnswer: 2, 13, 144847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from zmzmrzoorooro.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 28 = -6*x, -48*x + 50*x = 5*m + 20. Solve 3*a + s + 6 = 0, 107*s = -x*a + 102*s - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 17*u + 7*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-36)*2*4. Suppose -14 = 2*j - 2*p + 6*p, -5*p = -f*j + 31. Factor 3*b + j*b**2 + 3*b + 0*b.\nAnswer: 3*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from eehmv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -d - 9, -2*d = m + 2*m + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-1)*t)*t\/t**(-5)*t*(t**(-1\/2)\/t*t)**5)\/((t\/(t**5*t))\/(t\/(t*(t**(2\/13)\/t)\/t))*(t**(-1\/3)\/t)\/(t*(t**(-4)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(677\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180724012 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**3\/4 + 4436685*x**2 - 17746743*x\/4 = 0.\nAnswer: -5915581, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -110178841 to the nearest one hundred thousand.\nAnswer: -110200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 1. Let t(f) = 79*f + 15. Let q(w) = -38*w - 7. Let u(z) = -9*q(z) - 4*t(z). Determine 8*g(l) + 3*u(l).\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 51\/(-170)*456\/(-9)*(-3115)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4643\/824 - -1\/103. Find the common denominator of a and 23\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1705\/15946 - -1\/4556. Which is the third biggest value? (a) 4 (b) 2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:51 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -8\/55, 107, -2\/13, -6\/23, -0.1?\nAnswer: -8\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - -30. Let g = -161 + t. Let h = -78 - g. Which is the closest to 1? (a) -0.5 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5165567?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/32 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56665.\nAnswer: 5, 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r**2. Let o(f) = 10*f**2 + 283*f - 1. Calculate o(h(n)).\nAnswer: 1960*n**4 + 3962*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -5*p + 5*p - 32813. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -3 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3683959 or 0?\nAnswer: -2\/3683959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1262 + -1259. Let c(n) = -n**3 - 5*n**2 - 4*n + 4. Let s be c(-4). Suppose p = -i*b + 24, -s*b = -p + 24 - 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 c, and 1 k when four letters picked without replacement from {c: 1, k: 1, y: 5, e: 2, d: 5, f: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27899 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.8 - 63. Suppose 4*u - 9 = 3. Let i be (-49)\/(-30) + u\/(-2). Which is the third smallest value? (a) 0.3 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2329 in 0.2, -1\/2, 0.4, -0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 60*a - 113. Is l(33) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/40 and 115\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1562?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + r + 19 - 23.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1714*s. Let h(g) = -g. Determine f(h(m)).\nAnswer: 1714*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119, 101, 71, 23, -49, -151, -289?\n\"Answer: -v**3 - 11*v + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -1. Let z(m) = 2*m - 5. Is 9 a factor of z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 674 and 3296534.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29247, 18835, 8423, -1989, -12401, -22813?\nAnswer: -33225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 19*l + 6565 = 0. List the prime factors of l.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-6) - 224\/(-336)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 - 8 = -3*g, 4*i = -4*g - 16. Solve -x + g*x + 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 16 = 7*m. Let n = -9 - -14. What is i in n*i**3 + 3*i**3 - m*i**2 + i**4 - 4*i**4 = 0?\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 5. Let p be x(-7). Suppose -30 = -10*y + 5*y. Let b(k) = -y*k**p + 0*k**2 + 3*k**2. Let l(v) = -3*v. What is b(l(s))?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 + 2) - (-4 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(55))\/sqrt(11))**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-3)\/3 - -2. Find the common denominator of 23 + (j\/2)\/1 and 195\/(-30) + -10 + -3 + 7 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/22 + -6)\/(6\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7439797*q*y**3 + 5*q*y**2 - 133564*q*y + q + 171*y wrt y.\nAnswer: 44638782*q*y + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*c - 21 = 0, -5*c = 3*w - 0*c - 24. Let l(z) = 4 + 2 + w*z - 4. Let j be l(5). What is the greatest common factor of j and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 695, 21\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 2*t - 102 + 109 + 10*t. Let x(u) = u + 1. Let a = 456 - 450. Determine a*x(w) - j(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656888632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 5*v - 12*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -11*g + 10*g. Which is the nearest to g? (a) -0.3 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1600 (b) -7 (c) 3\/5 (d) -4\/5 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) -54\/25 (c) 0.1 (d) -2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/1013767417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13210 + -203153?\nAnswer: -145543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108340?\nAnswer: 2, 5, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 0*g**2 + 0 + 0 to x + q*g + v*g**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453655?\nAnswer: 5, 7, 41, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 18*d + 8 - 8 + 12*d.\nAnswer: 2*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Suppose g - 20 = -4*b, s*g = b + b - 10. Let h(v) = -v**3 - v + 10. What is the units digit of h(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220059 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*-4 + (sqrt(85) - (sqrt(85) + (sqrt(85) + sqrt(85)*-2 - sqrt(85))*1 + sqrt(85))))\/(1*sqrt(245) - sqrt(245) - sqrt(245) - sqrt(180))*-5.\nAnswer: 25*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) 44 (c) 1\/3 (d) 6 (e) -52 (f) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 times 8?\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14350 equal to 14347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253093, 253091, 253089, 253087, 253085, 253083?\nAnswer: 253081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 601 + -603. Sort -8, w, -5, 5 in ascending order.\nAnswer: -8, -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/(v*v**(2\/15)*v))\/((v\/v**(-3))\/(v*(v*v**(-4))\/v)))\/((v**(-2\/5))**(-5\/2)*v\/v**0*v*(v**2*v*v)\/v) assuming v is positive.\nAnswer: v**(-167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67564515 to the nearest integer?\nAnswer: 8220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r**3 + 112388*r**2 - 1325090*r + 3413008 = 0.\nAnswer: 19\/5, 8, 11227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 4*m**2 - 13*m + 33. Calculate the remainder when i(3) is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*j = -0*z - 8, -2 = -z - 2*j. Let m = -67 + 222. Suppose 4*x = z*g - 57 - 65, 3*g - m = -x. What is the remainder when g is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/(-52) + (-4)\/1. Let f = -55 - -51. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12677607, 12677608, 12677609?\n\"Answer: k + 12677606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 0, -20?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*j = 36*j + 69960. What are the prime factors of j?\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and 514.\nAnswer: 26728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.1 (c) -4\/566585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442069 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: Simplify ((k**(-1)\/k*k)\/k**(-2\/5)*(k**(-1)*k)**(2\/3))**(-33\/5) assuming k is positive.\nAnswer: k**(99\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -10101?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-4))\/((-2)\/(-4)). Let y be 6\/(0 + -3)*2. Let f be 7 + 0 + (y - -2). Solve -v + f*u - m = 0, -v - 4*v + 15 = 5*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Let f = p - -14. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 + 29*u + 7. Let b be (-4)\/(-10)*30\/2. Let z = -1 + b. What is the remainder when q(-10) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -444821 * -0.6\nAnswer: 266892.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 7. What is the remainder when 45 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 3 + 63 = 296 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 2) + -13 + 8. Suppose -25 = -c*r - 4. Are 6 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 10) in base 4?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 12*x**2 - 31*x + 15. What is the hundreds digit of h(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/35, 50, 5, 13, -8, 0.01, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s - 10. Suppose -3*j = -2*o - 2, -6*j + 2*j = -16. Let d be h(o). Calculate the highest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 161\/(-5) + (-20)\/25. Sort -4, 4, c in decreasing order.\nAnswer: 4, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*b = 62, -3*a + 117 = 2*a + 2*b. Let f be (-11)\/(-4) - a\/(-100). Solve -f = -2*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/4340 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(7)*2*4.\nAnswer: -5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 88\/(-40) - 522\/(-10). Suppose 44*i - h*i + 272 = 0. Solve 33*f = i*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 8}. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 2. Which is smaller: -54 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(10)\/sqrt(288))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23439?\nAnswer: 3, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 15*r - 6825. Suppose -6*z = 93 - r. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -5*a**4\/24 - a**3\/6 - 2*a**2. Let x be k(-1). Solve x = 4*t - 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204967 divided by -4361\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1070748897?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1818*l**4 - l**2*q**2 + 9*l*q**2 - l*q wrt l.\nAnswer: 21816*l**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*w**3 - 16*w**3 + 12*w**3)*(8 + 21 + 26 - w) to s*w + a + p*w**3 + o*w**2 + y*w**4 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -972, -936, -900, -864?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 2, a: 2, r: 1}. Give prob of picking 1 q, 1 w, and 2 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x**3 + x**4 - 12*x**3 + 36*x**3 - 2*x**4 - 11*x**3 + 7*x**2 - 16*x to the form g*x**4 + b*x**3 + f*x + m*x**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 10) + (16 - 4) - 5 - -42.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2 + (-43656)\/(-40) - (-4 - (-66)\/15) and 726.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2339 - 92*p + 99*p + 2339.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 3 + 181*s - 3.\nAnswer: 4*s**3 + 181*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8320459529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.019 (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 520 = -10*i. Suppose -195 + i = -b. Suppose 27 = -5*p + b. 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: Solve 0 = -2*b + 5*q - 3*q - 2, 5*q = b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255475 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77336.883 milliseconds to hours.\nAnswer: 0.0214824675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**2 - 2*q - 1. Let v(a) = a. Let x be v(3). Suppose 6 = 3*j + x*b, 2*j + 11 = 3*j + 4*b. Calculate r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7. What are the prime factors of (b - 7)*38\/(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 183 + 95 - 105320*o.\nAnswer: -105320*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/(-10) - (-2)\/(-5). Let j(u) = u**2 + 3*u + 3. Let g = -287 + 284. Let p(x) = -2*x**2 - 5*x - 5. What is b*j(i) + g*p(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + -2 + -3 - -2. Let b = -2 + h. Suppose -b*y - 4*z - 28 = -0*y, 4*y + 18 = -z. Sort y, 2, 0 in descending order.\nAnswer: 2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16645 divided by 23747.\nAnswer: 16645\/23747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4655 = 120*d - 365*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -93 (b) 2\/71 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j + 4*m + 12, m + 24 = 5*j. Suppose 5*l = j*l + 67. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203203032132 - 212?\nAnswer: -203203033010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*z - 3922*z - 141814 = 100778 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23921140 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 6*o**2)*((3 + 1 - 2)*(-1 - 2 + 1) + 3 - 1 - 1).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 87 = -3*h, 3*h + 12 = 0. What is the greatest common divisor of y and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 + 115. Let w(m) = -12*m**2 + 117. Give -3*h(d) + 2*w(d).\nAnswer: -3*d**2 - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = -10, 0 = 5*a - 3*h - 4284. What are the prime factors of a?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**2\/3 - 2228*g + 117096 = 0.\nAnswer: -1722, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 684471956\/(-190) - (-4)\/10. Let y = -647508457383\/179740 - g. Let q = y - -1\/1892. Find the common denominator of q and 22\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**7\/21 + 16*t**6\/15 + 13*t**5\/5 - 26*t**4\/3 - 128*t**3\/3 - 64*t**2 + 1834*t. Let j(l) = 0. What is l?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:23 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + -4) - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 + 6*u - 4. Let b be k(1). Suppose 8*w + b = 22. Solve 0 = 3*a - 2*x - 2*x - 19, -5*a + 27 = -w*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + c = -1, -5*a - 2882*c + 2886*c + 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - x**2 - 2*x**2)*(4 - 1 + 0)*(-322*x + 322*x - 5*x**2).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + x. Let f be o(2). Let p(j) = j**3 + 11*j**2 + 8*j - 20. Let u be p(f). Suppose -2*a - 2 = -u, -2*w - a = -49. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h + 18*h - 51*h + 10*h + 17*h - 38 as v*h + u and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7627 = 7627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = -279. Let o(d) = -d. Let m be o(-3). Is (-2)\/(m\/3) + p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -373*o**2 + 4272*o**2 - 3 + 880*o**2 - 4*o + 16. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m = 44*m + 48 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 18*k**2 + k + 16. Let p be l(-18). Let f be p\/(-7) + (-118080)\/(-84) + -2. Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4741 + 1939 = 5*y. Suppose 15*t - y = 13*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -1 + l**2 + 6*l - 6*l. Let m(z) = z - 7. Let j(w) = 1. Let d(f) = 28*j(f) + 4*m(f). Give d(c(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 9:48 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = u + 35, -142*x = -11*u - 140*x + 39 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/50)\/(252\/315).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130385896 by -32596474.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 72200*y + 325802500 = 0.\nAnswer: 9025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55637865 divided by 3\nAnswer: 18545955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*s + 741 = 59*s + 61*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -250, -246, -242, -238?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*p**3 - 2*m**3*p**2 + 48*m**3 - 121*m**2*p**2 - 5635*m*p**4 + m*p**3 wrt p?\nAnswer: 12*m**3 - 135240*m*p + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4905753?\nAnswer: 3, 269, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5 = 49. What is the least common multiple of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9595527259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 272887841 a multiple of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/120 - x**5\/2 - 5*x**4\/4 - 23*x**3\/6 - 70*x**2. Calculate the smallest common multiple of y(-29) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 6*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 810137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 8 (b) -200 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/4 + 12163*x**3 + 730380*x**2 + 14611600*x + 97424000.\nAnswer: -(x - 48712)*(x + 20)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 10:06 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -228 (b) -140 (c) 1\/8 (d) 0.4 (e) -2\/19 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*u + 1 = 7, 0 = k - 3*u - 8. Suppose -3*f - 5*i = -0 - 2, -k*f + 3*i = 8. What is the third biggest value in 1, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-50)*82\/(2624\/16)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 156219 + 15*q - 156221 - 15*q in the form a*q + d + u*q**2 + s*q**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009239 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 14*s + 13. Calculate w(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -17. What is the closest to -2 in -0.4, f, 1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, l: 2}. Give prob of picking 2 c and 1 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose 0 = 3*k + 72 - 81. Put 0, k, -2, t in decreasing order.\nAnswer: t, k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101010102 (base 3) in base 9?\nAnswer: 1311112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22624973*v - 61688454 wrt v?\nAnswer: -22624973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12659*s**4 + 6215 wrt s.\nAnswer: 50636*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 282?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1585075 and 2115.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10*j = -5*r - 3150, 4*r = -5*j + 3195. What is the remainder when j is divided by 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 35. Let u be ((-2)\/6)\/((-2)\/p). Solve 2*r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from mtttzuzttmtzm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*c**3*m**2 - 8*c**3*m - 5*j**3*m**2 - j**3 - 2*j**2*m - 2 wrt m?\nAnswer: 114*c**3 - 10*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*d*g**3 + 4*d*g**2 - 25*d*g - 14*d + 6*g**3 - g**2 - 4*g + 2 wrt g?\nAnswer: 516*d*g + 8*d + 36*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -1*1 - -2. Suppose -38*c + 37*c + 2 = 0. Suppose 46 = 4*y + c. Calculate the highest common factor of v and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2739969, -2739975, -2739991, -2740023, -2740077?\n\"Answer: -q**3 + q**2 - 2*q - 2739967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-14)\/(-48)*(-18)\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66822?\nAnswer: 2, 3, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6158 in 105, 5.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-80))\/((-2)\/8)*(-870)\/(-116)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-20))\/(1\/8). Let z = n - -1. What is the remainder when 18 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -45 - 53) + 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 9*o**3\/4 + 15*o**2\/8 - 3*o\/8 = 0.\nAnswer: -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1107 + 1106.8454. Let c = o + 0.154600629. What is c rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2 + 6*y - 5. Let m be b(4). Let k = m - -100. Suppose k*q = -6*q + 1976. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*g**2 - 108798*g**3 - 31*g**2 + 108810*g**3)*(-4*g + 3 + 3*g - g) in the form q*g**4 + l*g**2 + u + f*g + c*g**3 and give l.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-2*x + x - 3*x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 12. Let q(l) = l + 1. Let z(s) = -4*s - 4. Let k(w) = h*q(w) - z(w). Determine k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 41*l**2. Let n be 400 - 2*(-1 - -3). Let v(x) = 396 - 2*x - n. What is v(i(s))?\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 58*s**2 + 66*s - 14. Determine k(-4).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w - 64*w = -2*f + 7, 3*w + 5 = 4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 2 + -1 + 1561 + -1524?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/((-16)\/20 - 28\/40). Solve -c*s - 15 = -21*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -24*u + 26. Let k be n(9). Is 3803 + ((-38)\/k - 6\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210325 divided by 47.\nAnswer: -4475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 473850459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 16*z**2 - z + 13. Calculate t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 146*l + 1020. Let b be z(-7). Let f = 874 - 854. Suppose -d = -3 + 1. Sort f, d, b in descending order.\nAnswer: f, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/3 - -1 - 1. Let d = k - -29. Calculate the remainder when d is divided by 1 + -10*3\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 12*j**2 - 2*j - 26. Let n be m(-12). Let q(g) = g**3 + g**3 - 2 + g**2 - 4*g**3 + 0*g**3. What is q(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.39, 5, -62, -2 in increasing order.\nAnswer: -62, -2, -0.39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (3345\/9)\/(2\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f + 4. Suppose -f = -5*a - 7. Let m be 9\/2 - a\/(-2). Solve 0 = c - m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30752 - -60486. Let d be (-1)\/(29720\/c - 1). Let r = 2118 - d. Find the common denominator of 1\/3 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, j: 1, s: 4, o: 1}. What is prob of picking 1 m and 2 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(0*h - h + 0*h) + (-4 + 2 + 0)*(h - 5*h + h) - 2*h + 0*h + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + w + 9 = 4*x, x + 1 = -5*w. Solve 5*s = x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 900*h**3 - 8*h**2 - 11*h - 22. Let a(c) = 300*c**3 - 3*c**2 - 4*c - 8. Calculate 8*a(o) - 3*j(o).\nAnswer: -300*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 1. Let t = d + 29. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*i. Suppose 5*b - 5*j - 14 - 16 = 0, 0 = -i*b + 3*j + 14. Suppose -4*p - b = 5*f - 21, 2*p - 4 = 2*f. Solve -11 = -p*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1154.63 seconds?\nAnswer: 1154630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = t - 18, -3*f - 17 = -6*f + t. Suppose 3*k = f*o - 10, -5*o + 45 = -k + 5*k. Let z be (4\/10 - 17\/k) + -52. Is -55 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n + 6. Let l(t) = 12*t + 7. Let o(i) = 7*h(i) - 6*l(i). Let c(d) be the first derivative of 63 - 2\/3*d**3 + 0*d + 0*d**2. What is o(c(s))?\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 56974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let f = -3 - p. Suppose 4*k - f = n, 1 = -n - 0. Which is the closest to -0.1? (a) k (b) -1\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9465*m. Let n(y) = -18*y. What is n(w(i))?\nAnswer: -170370*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 189*b + 10. Let f be x(-4). Let j be 8\/12 + f\/(-6). Suppose -j - 2479 = -12*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6431 - -9149. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 113?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84))\/sqrt(12) + ((sqrt(175)\/sqrt(5) + sqrt(35))\/sqrt(5) - sqrt(7))**2.\nAnswer: sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28933807 to the nearest integer?\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. Suppose 2*z - t = 3*s - 44, 5*s = 4*z + 69. Suppose s = 3*q + 2. Solve q*g - 5*o = -20, 0*g - 16 = 4*g + 2*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -910350, -1820689, -2731028, -3641367?\nAnswer: -4551706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.21 and 4.\nAnswer: 48.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 3. Let w be r(-7). Suppose 0 = -3*k + 1 + 2. Let p be ((-2)\/k)\/2 - -14. Solve 2*x = 3*b - x - 12, -x - p = -w*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 3*t**2 + 10*t + 2. Suppose 1 = -n + 10. What is the remainder when b(-3) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 22 = 2*d, 546*m - 551*m - 6 = 2*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 2. Let l = -28 + 31. Suppose 27 = -l*b + 33. Let f(g) = -3*g - 9. Determine b*f(y) - 9*m(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 - 268*u - 763. What is f(-41)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133545, 132880, 132215, 131550?\nAnswer: 130885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:49 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -123, -128, -135, -144, -155?\n\"Answer: -w**2 - 2*w - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -43*p**5\/20 + 7*p**2\/2 - 44*p. What is the first derivative of r(v) wrt v?\nAnswer: -129*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*b - 10068 = 6868 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/((-70)\/(-728)*2).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/198459 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 2. Suppose 7*s - 32 = 5*s. Suppose a + 2*a - 33 = -3*f, s = 4*f. Calculate q(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102433 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 105, 195, 323, 501, 741, 1055?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 8*q**2 - 8*q + 6. Let x be r(7). Let s be x\/2 - (-7)\/2. What is the units digit of (-48)\/(-2)*s\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*u - 41*u + 512. Suppose 245 = 3*v - u. What are the prime factors of v?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(-3 - -10 - 8). Let x(c) = -c**2 - c. Let q(o) = -o**2 - o. Let y(j) = 4*q(j) - 3*x(j). Let b be y(-1). Is d less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -60, -45, -12, 45, 132?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3156 and -139\/996.\nAnswer: 261948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60176347 minus 0.38795?\nAnswer: 60176346.61205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 3801?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3884, -3876, -3868, -3860, -3852?\nAnswer: -3844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-4*20\/(-8) + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8 + 4*n**2 - 10 + 5 - 10 - 4*n. Let u be p(-9). Let m = -163 + u. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126*y + 467*y + 174*y + 182*y - 2686 wrt y?\nAnswer: 949","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 119 = -59. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.3 in 3, -110979, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064936 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*g = -183*g. Let k(u) be the first derivative of -2\/3*u**3 + g*u + 1\/2*u**2 - 13 + 1\/4*u**4. Factor k(n).\nAnswer: n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 + -133. Let x(h) = 13*h - 2. Let f be x(3). Let c = -8 + f. What is the highest common factor of p and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + p**2 - 5 - 2 - 3*p**3 + 4 in the form l + t*p**3 + m*p**2 + r*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11290 + -11294. Which is the closest to -0.1? (a) n (b) -77 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let v be (-310)\/250 + (8\/(-10))\/(-2). Let k = v - -381\/275. Which is the closest to f? (a) -3 (b) 1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -563 - -1103. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6)*(-5*g**3 + g**3 + 2*g**3) + 7*g**2 - 2*g**2 - g**3 + 10*g**2.\nAnswer: -5*g**3 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4932236.014000465 + -4932236. Let s = b - 0.014. Round s to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85547?\nAnswer: 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6716835 by 435.\nAnswer: 15441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1629.\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 0.49988576?\nAnswer: 2.50011424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 + 2. Suppose -3*h - 6 = -5*h. Calculate the smallest common multiple of ((-2)\/h)\/(4\/(-6)) and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 + h**4\/3 - 11*h**3\/3 - 3*h**2 - 18*h + 1. Let d be w(-7). Put d, 46, -3 in ascending order.\nAnswer: -3, d, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1753 - 437 + 135 = -199*y + 134 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16061020 rounded to the nearest 100000?\nAnswer: -16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -0.05. Let m be 12\/(-72) + ((-1576)\/(-240) - 6). Which is the closest to 1? (a) -1 (b) w (c) 0.04 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7169 and -112088.\nAnswer: -104919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 192331233 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230309732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102296 is divided by 218.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 12*c**2 + 25*c + 2. Let t be i(-14). What is the biggest value in -0.4, t, -5, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*t**3 - 372*t**3 - 472*t**3.\nAnswer: -668*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h**3 - h**2 - 3*h - 69. What is the tens digit of a(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -5, -9 in descending order.\nAnswer: 3, -5, -9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19dc + 10?\nAnswer: -19cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by -145.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - z - 1. Let s be l(-1). Suppose 0*k - s*j - 612 = -4*k, -2*k = -4*j - 298. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bob when three letters picked without replacement from booooooooobb.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 3*a, 4*i - 24 = -5*a + 35. Suppose i = -2*v - 5*h, 4*v - 2*h = -3*h + 5. Solve m - v*y = -3*y - 2, 0 = 2*m + 3*y + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 7. Let n = d + 2. Let r = -0.2 + 0. What is the third biggest value in 1, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/45*18\/4. Suppose w + 2*w - 9 = 0. Let k = w + l. Solve 5*r + k = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57952, -58093, -58396, -58855, -59464, -60217?\nAnswer: -61108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**3 + 748*b**2\/5 - 166*b + 52\/5 = 0. What is b?\nAnswer: -26, 1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 263 = -2*k, -2*z + 4*k + k + 168 = 0. What is the remainder when z is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 128 = 0. Let p = 68 + i. Suppose -2*y + p*y = 2. Solve -5*v - 4 = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -597 - 13432719.\nAnswer: -13433316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/9 - 20587*n**2\/9 + 82336*n\/9 - 9148.\nAnswer: (n - 20583)*(n - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 1125?\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.1 - 70. Let f = -4.8999909 - l. Round f to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6857*f + 6861*f = -48 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-225))\/(413\/23895*45).\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from fpfdppppffdpdppp.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + 9. Calculate the greatest common factor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 4*f**2 - 5*f**2)*(2*f**2 + 3*f**2 - 3*f**2) + 122*f**4 - 125*f**4 - 23*f - 38*f.\nAnswer: -5*f**4 - 61*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 + 127 = d + 4*b, 19 = 3*d - 5*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:15 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 72 = -3*c. Suppose -9*j = g - 77, -5*j - 145 = -5*g - 2*j. Calculate the remainder when g is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -28*p**2. Let c be 10\/35 + 12\/7. Let t(s) be the first derivative of 4 + 1\/2*s**c + 0*s. What is b(t(n))?\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2028.8 + 2029. Let c = 0.2 - -20.8. Is c >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117332*t**2 - 59*t + 622 wrt t?\nAnswer: -234664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let w(d) = 21*d - b*d - 4*d + 12*d. Let l(c) = -2*c**2. What is w(l(v))?\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - 4) + 23\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Let u(g) be the third derivative of 1\/4*g**4 + 0 + 0*g - 2\/3*g**3 + 2*g**2 - 1\/60*g**5. Calculate u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 41?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 + 0 - 16) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 405.95 and 2.094579.\nAnswer: 408.044579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500.5 times -7?\nAnswer: -10503.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a89d - 1?\nAnswer: 4a89c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, p: 4, l: 4}. What is prob of sequence mplm?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*n = -17*n + 1170300. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-100)\/6*72*(-8)\/40 and 11?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23916*k - 27 + 71729*k - 23909*k - 23908*k.\nAnswer: -4*k - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36 * 31.81692\nAnswer: 1145.40912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {u: 1, h: 4, l: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 18645?\nAnswer: 111870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 71. Let t(l) = -4*l + 211. Determine -14*m(y) + 4*t(y).\nAnswer: -2*y - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 greater than or equal to -217.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1152 and 83\/432.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112294 to 5 dps.\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**3 - 3*p**2 - 255. Let c(k) = -3*k**3 - k**2 - 85. Let l(u) = 11*c(u) - 4*d(u). Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baomqvaooaaoaoobvbma. What is prob of picking 2 b, 1 q, and 1 m?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-4\/3)\/q*q*q*q*q*q))\/(q*q\/(q\/(q**(-2\/29)\/q))) assuming q is positive.\nAnswer: q**(-139\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:59 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.17187732 to one decimal place.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444 divided by 36.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 + -376.6. Which is the third biggest value? (a) h (b) -0.6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 - 1 - (-6467)\/(-870) and -91\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-9)*(-8 + 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/2 + x**3 - 3*x**2\/2 - 3*x - 4. Let a(u) = -u**3 + 2*u**2 - 2*u - 2. Let r = -5 + 2. Determine r*a(n) + 2*f(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a - 3*h + 186 = 0, 4*h - 44 = -a. Suppose a = -5*t + 101. Let w be 26\/(1 + (-6)\/10). What is the greatest common factor of t and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from knjjsbbjjbkjjnjbjss?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4. Let c(h) = 8*h - 27. Let o(j) = c(j) - 4*f(j). Let z(v) be the third derivative of v**4\/8 - 2*v**3\/3 + v**2. Calculate 4*o(l) - 11*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 6:03 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 0*p**2 - 13*p**2 - 2*p**2.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from arroarrra?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 29.7?\nAnswer: -11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1)*c)**(-14\/11)*c**(-2\/15)*c*c**(1\/10) assuming c is positive.\nAnswer: c**(-101\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 736919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 27. Let q = a + -10. What is the highest common factor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 57 = 1546*o - 1548*o, 19 = 5*o - 2*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 18069686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssd when four letters picked without replacement from zzzdzzssssdd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124552974 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - f = -0*f + 151, 0 = -4*w - 3*f + 210. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 116*k - 110*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 12121332?\nAnswer: 12121327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3549.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*s - 3, 4*r - 3*s - 480 + 478 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-24)*-2)\/(13\/(-117)). Which is the closest to -1? (a) n (b) 2\/5 (c) 0.2 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/5 - 2556*j**2\/5 + 37942*j\/5 - 65676\/5 = 0. What is j?\nAnswer: 2, 13, 1263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*p + 1142 - 2390 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/2)\/s)**(4\/29) assuming s is positive.\nAnswer: s**(-18\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -21*y**3 - y**2 - 6*y - 4. Let d(u) = -25*u**3 - 2*u**2 - 6*u - 5. Calculate -6*c(k) + 5*d(k).\nAnswer: k**3 - 4*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2)*2\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 41*h + 79. Let s = -12641 - -12639. Calculate j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(2\/31)*u**(1\/12))**25 assuming u is positive.\nAnswer: u**(18775\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.843616 to three dps.\nAnswer: 6.844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 444079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -252, -279, -338, -441, -600, -827?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 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: In base 8, what is -5 + -424433?\nAnswer: -424440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by -61\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/5 + 26*j**4\/5 - 164*j**3\/5 - 104*j**2\/5 + 672*j\/5 = 0. What is j?\nAnswer: -2, 0, 2, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from vxxrvvnvrrxv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.41 + 16494.02053.\nAnswer: 16471.61053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -312.4*0.18\nAnswer: -56.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/6 + x**2\/2 + 2*x. Let g be v(0). Let f be 5 - 2\/g - 0. Solve 4*b = -b + f*j - 7, 2*j + 12 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.8 - 11.8. Let h = m - 35.00000376. What is h rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, 5, 13381, -4 in decreasing order.\nAnswer: 13381, 5, -11\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 871229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 1. Let p be h(1). Suppose p*c - 1 = 5. What is q in c*q - 2*q**2 + q**3 - 2*q + 0*q**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**3*u**4 + 251*r**3*u**3 - 429491*r**3*u**2 + 17*u**4 - 2*u**2 wrt u.\nAnswer: 48*r**3*u + 1506*r**3 + 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*t - 2 = -26, 5*k + t = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + w - 1. Let l(q) = 38*q**2 - 298*q + 5. Let m(k) = -5*a(k) - l(k). Find the second derivative of m(j) wrt j.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -99. Let h(r) be the second derivative of r**3\/3 - 5*r**2\/2 - 2*r. Let b be h(a). Solve 0*w - 2*w + 3 = i, b*w + 15 = 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.3. Let z = 2.7 - c. Let r = -3 - 2. What is the closest to 0 in r, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 77, 36, -27, -118?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -927 - -926.8. Let h be 32\/312*3\/2. What is the nearest to -1 in -0.04, r, -5, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3675441799?\nAnswer: 1031, 3564929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 202?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-6\/5)*t)\/t)\/((t*t**(-4)\/t*t)\/t))**(-29))**(-2\/35) assuming t is positive.\nAnswer: t**(116\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 16 = 4*h + 42, -h - 5 = 0. Let j = -83 - -85. What is the third derivative of -n**4 + 10*n**2 - 3*n**p - 5*n**2 - j*n**4 wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 21*y**2. Let c(h) = h**3 + h**2. Determine -3*c(w) + r(w).\nAnswer: -w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-80)\/22*12\/10. Let g be 1\/2 + 551\/154. Let x = g + m. Which is the closest to x? (a) 1 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 78 = -0*q. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-9 + (-10 + -1 - (-170 + 143)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4424, -8718, -12928, -17048, -21072?\n\"Answer: q**3 + 36*q**2 - 4409*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = r, -4*f + 3*f = 5*r - 42. Suppose 11 = -4*n + 3. Let w = 34 + n. What is the highest common factor of r and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*83\/(-56108)*4\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223\/15 + 15. Let x(u) be the third derivative of 1\/30*u**4 + 0*u + 32*u**2 - a*u**3 + 1\/75*u**5 + 0 - 1\/150*u**6. Solve x(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000443 to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 3:53 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhkhhhkhhhhkhkhhkh. Give prob of picking 1 k and 3 h.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - t + 0 - 7*t - 4*t + 5*t - t - 5 + 5 + (2 - 2 - 1)*(t - 1 + 1) in the form r + k*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330*762.\nAnswer: 251460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 16) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:39 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/6 - 2*g**2 + 2*g. Let t be v(9). Solve -m = -t*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8757 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*x - 831*x = -4*b + 15, -4*b = -4*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-86)\/8)\/(1*3\/(-24)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 674 divide 560184642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 5*w - 2. Let c(s) = -2*s**2 + 4*s - 2. Suppose 227*v - 255*v - 224 = -84. What is v*i(z) + 6*c(z)?\nAnswer: -2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*a - 226 + 16 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r**3 - 3*r**2 - 8*r - 15. Suppose v + 2*d = 8, -3*v + 5*d = 4*d - 52. Calculate the remainder when i(-2) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -4, -2341\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238\/536705 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 362 and 2610681917?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138803263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 58. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.721562 to 2 decimal places.\nAnswer: -88.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*b = 22, -4*b = 3*d + b - 8. Suppose -31 - 9 = -5*n. Suppose v - n = 8. Calculate the least common multiple of d and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -7. Let s = -14 - m. Let v = -2 - s. What is the greatest common divisor of v and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 + 0\/(-2)). Let p(c) = f + c + 0 + 0*c. Let w(t) be the first derivative of -2*t**3\/3 + 2. Calculate p(w(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 963 = -207. Suppose 297 = 7*z + r. Solve 5*p - 4*q = z, 3*q + 2 - 3 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -833 divided by 2633?\nAnswer: -833\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**23*q*q**(2\/5))**(-2\/85))**(-15\/4) assuming q is positive.\nAnswer: q**(183\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 70. Suppose 0 = -0*r - 4*r + 8. Let b be (-1)\/(-2)*(r - 2). Let a be j(b). Calculate the highest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**7\/30 - m**6\/120 + 71*m**5\/60 - 20*m**2. What is the third derivative of t(x) wrt x?\nAnswer: -168*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 469 = 57. Calculate the remainder when 3295 is divided by x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 7) to base 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 t when four letters picked without replacement from {u: 2, t: 6, v: 1, q: 5, a: 3, o: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v - 3*u, 15 = 5*v - 2*u - 37. Solve -3*c - v = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/5 - 84*u**3\/5 + 774*u**2\/5 - 308*u - 480 = 0.\nAnswer: -1, 5, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 4. Let d = 0.3425 + 55.6975. Let g = -56 + d. Which is the nearest to -0.2? (a) -4\/3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:20 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + 2. Suppose -2*q - 5*g = -16, -i*g = 2*q - q - 3. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 10 - -54) + (-40 - -21)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.4504 (c) 35 (d) 7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36499512874 - -138.6?\nAnswer: -36499512735.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.3 + 26. Let c = a - -6.8. What is c rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30\/2363, 0.2, 0.68, 17 in ascending order.\nAnswer: 30\/2363, 0.2, 0.68, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13164, -26345, -39532, -52725, -65924, -79129, -92340?\n\"Answer: -3*a**2 - 13172*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.007447753 - 0.007489353. Let o = l + -72. What is o rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 21. Let r = -25 + 41. What is the highest common divisor of r and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-3 + sqrt(114))\/sqrt(6) + sqrt(228)\/(sqrt(12)*-4) - ((2 + ((sqrt(19) + 2)*6 - sqrt(19)))*3)**2.\nAnswer: -6039 - 5049*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -35420, -3, 2.\nAnswer: -35420, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5385*g + 94368 = -51027 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x - 42. Let p(f) = -13*f - 28. Let q(m) = -4*h(m) + 5*p(m). Determine q(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.024 - 68.976. Let t = f - -64. What is the biggest value in 0, t, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51946 - 51951. Let z = 73\/12 - 16\/3. Let f be 3*10\/3 - 1. Sort i, z, f, 4 in decreasing order.\nAnswer: f, 4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(22\/3)*y**(-2\/7)*y**(2\/9)\/y assuming y is positive.\nAnswer: y**(-67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1146364 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 51 - 157. Let x(d) = -12*d**3 + 2*d**2 - 1. Let h be x(-1). Let r be (-1*h)\/(-5 - -4). What is the greatest common divisor of r and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13819 - -13820. Let m = -20 - -55. Calculate the smallest common multiple of m and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from rrsdwwwjrdd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -234677 - -509077. What is j rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -299*r + 297*r - 43 + 39. Calculate f(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 29*j + 23. Let v(g) = 81299*g - 1. Let s be v(j). Round s to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/84*7 + 500\/6. Suppose 0 = 6*k - 0*k - p. What is the third derivative of -17*n**2 + 82 + k*n**3 - 82 wrt n?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 46 + 10 + -17 + -14 + -20\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1587637 and -0.4.\nAnswer: -1587637.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. Let l be p\/(-5) + (-1 - 44\/(-10)). Solve -3 = s + q, 3*s = s + l*q + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1962 = -4*m - 0*f, 963 = 2*m + 5*f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2157 = 3*m + 2*s + 176, -2668 = -4*m + 4*s. Calculate the highest common factor of 51 and m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8646.79852 + 397239.\nAnswer: 388592.20148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a + a - 4*a)*(7 + 0 - 27)*(a**2 + a**3 - 5*a**2 + 2*a**2).\nAnswer: -100*a**4 + 200*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x - 1 + 48*x + 37*x.\nAnswer: 140*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 59 + 9 + -28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000456090209 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a41b (base 13) to base 11\nAnswer: -35544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2577905671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**4\/4 + j**3 - j**2\/2 - 96. Determine n(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 1, r: 1, i: 4, p: 2, x: 3}. What is prob of sequence ixpx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 2, v: 3, w: 1, m: 3}. Give prob of picking 1 m, 1 w, and 1 v.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4, -2*h + 9*t - 18 = 11*t. What is the third biggest value in h, 94, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-132)*418\/76*-6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122 - 488*o - 69 - 54)*(13*o**3 - 10*o**3 + 15*o**3) to the form x*o**4 + m + r*o**2 + a*o + d*o**3 and give x.\nAnswer: -8784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**2 + 2*l**2 + 19*l + l**2 + 36 + 0*l wrt l?\nAnswer: 2*l + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -298 - -299. Suppose -8*x = -d + 1. Solve x*r = 2*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 3281\/(-4100))\/(36\/(-672)). Let s = l + 92\/25. Which is the smallest value? (a) s (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/2)*q))**(-2\/9))**9 assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-15) - (-72)\/(-27)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50352*-3\nAnswer: 151056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*m + 10 = 0, 393 - 395 = -a + 2*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 578 - 199. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + 3\/4. Let b = -454 - -3212\/7. What is the common denominator of b and ((-94)\/20 - w) + -1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*m + 106 - 154*m - 5*m**2 - 446 - 23*m.\nAnswer: -5*(m + 4)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3 - 7. Let y(l) = -2*l**2. Calculate y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*u + 3*z - z, 3*z + 15 = u. Let j be (1 + -1)*-1*2\/4. Suppose -5*k - 50 = -4*b - 0*b, 2*b + 4*k - 12 = j. Solve 5*t - u = b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (0 - (-2 - -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 74*b + 105. Let n be v(4). Suppose 404*a - n*a = 38400000. Round a to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 89 = 87*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 7. Let k(z) = 3*z + 9. Let h(d) = -4*d - 10. Let c(g) = w*h(g) - 5*k(g). What is the units digit of c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x. Let o be u(2). Suppose -4*d + 101 = -39. What is the remainder when 69*(2\/(-4))\/((-4)\/o) is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432*a = 1460*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442 + 10?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1657 = -2*l, 5*y = 2 + 13. Let j = -272 + l. Is 37 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 5, 12, 10406, -3\/5, 2\/5 in descending order.\nAnswer: 10406, 12, 5, 2\/5, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 + 29 = 0. Suppose -4*q + 6 + 4 = -2*l, 0 = 4*q + 4*l - 16. Suppose -q*b - 8 = -p*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2, -0.3, 8\/13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 83\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2476 - -0.026. What is t rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 2. Suppose -17 = -3*x + 3*s + 1, 2*s + 18 = 5*x. Suppose -1 = -x*z - 11. What is p(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -14. Let z = -36 + 52. Suppose -c*n = -3*q - 36, -4*n + z = -0*q + 4*q. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/135, -1\/7, 7, -11, -0.3 in descending order.\nAnswer: 7, 2, 2\/135, -1\/7, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in -1.79, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40885 - -5?\nAnswer: -40880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:21 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -124, -283, -548, -949, -1516, -2279?\n\"Answer: -5*i**3 - 8*i**2 - 24*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -187 - 4?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -p + 3*h, 3*p + 0*h - 145 = 2*h. Suppose -3*w = -r - 73, 0 = 2*w + 5*r - 8*r - p. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 25. Let q be (0 + -1)*y\/4. Suppose 8 = -2*x + 4*s, 0 = -x + q*s - 0 - 6. Solve -u + 10 = u - 4*k, x = -2*u + 2*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/2 (b) -4\/5 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122 (base 3) in base 12?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299070800 and 7616?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - y - 14 = -12*i, 56 = 3*i + 4*y. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7127766 a multiple of 1159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 28.7392g?\nAnswer: 28739.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 48 = -4*i, -k + 3 = -0*k. Let p be 15 + i + (4 - 2). Solve -o - 6 = -l, -5*o - 4*l - 5 + p = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 < -1898933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 35*o = 14*o - 29*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*u = -313, 7*k - 5*u - 261 = 4*k. Let n = 147 - k. List the prime factors of 1166\/26 + 10\/n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -57. Suppose -x*a - 13266 = -25*a. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -3*i**5\/10 - 5*i**2\/2 - i. Find the first derivative of j(c) wrt c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192008113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 3*k + 13. Let y be f(6). Let x be 0\/(3 + ((-20)\/(-2))\/y). Solve -7*p = 2*d - 3*p, -2*p = x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2362*m - 2350*m - 37 + 38.\nAnswer: 12*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 1. Let v be 6\/(-9) + 46\/6. Let j(f) = -f + 1. Let m be j(-1). Let r(b) = -10*b**2 - 3. Determine m*r(w) + v*q(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170*i**2\/9 - 91136*i\/9 - 56\/3 = 0.\nAnswer: -2\/1085, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 + 2*c + 27. Let s be l(-4). Let x = -122 + s. Solve 13*q = x*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 + 43 = 11*y. Suppose 85*j - 13104 = y*j. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 94*w**2 + w. Let s = 1 + -2. Is t(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5 - (-9 - 1)) + (-81 - -77)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16))**16*(l\/(l**(-26)*l)*l)\/(l\/(l*l**16*l)) assuming l is positive.\nAnswer: l**(-212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 0*n - 1 + 2*n**2 + 1\/3*n**3. Determine f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.5, -2, -1.4, 1\/7, 1.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 10531 + -10534. Let j = -5 + -4. Which is the closest to -2\/7? (a) j (b) n (c) 0 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + 6 - 5 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9026943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 710*s + 17. Let y be i(-8). Is y < 5569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 204721912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 + u - 2. Let j be s(1). Let a(i) = j*i + 13*i - 26*i. Let m(x) = -4*x. Let v(q) = -3*q. Let y(w) = -5*m(w) + 6*v(w). What is y(a(l))?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1)**(-34) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 4 + 4)*(-r + 5*r - 2*r) + 0*r + 0*r + 2*r**2 - r**2 + r - r - 2*r + 5*r**2 + 0*r**2 - r**2.\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -18. What is the remainder when 6 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7125, -4, -0.1, -2, 2\/3 in descending order.\nAnswer: 2\/3, 2\/7125, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1196 and -65\/46.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from {z: 9, h: 4, a: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.694 + -34.594. What is the closest to b in 1\/27, -1\/5, -4, 0?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 9*v + 9. Let y be o(5). Suppose 21*n - 8*n + y = 0. Let i be (-50)\/13 - -1 - -3. What is the second biggest value in n, i, 5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7720648127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/546)\/(9\/126*2)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 2*k = -389 - 9, 3*k = 4*h - 171. Solve 43*x - 81 - h = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -492. Find the common denominator of 37\/9 and -1 - 4 - l\/(-162).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(1 - 3). Let n(i) = -i**3 + i**2 - i - 1. Let v(a) = a**3 - 6*a**2 + 9*a + 5. Let b(l) = x*v(l) - 2*n(l). Does 4 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.7 times -0.005?\nAnswer: -0.1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 - 5*c**2 + 17*c**2 + 4*c**2.\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1888 - 1884. Solve 12*o + k - 16 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*u - 11 + 3, -3*w - 5*u = -12. Suppose -x + w*x = 9. Suppose 0 = -x*m - 5*h + 25, -4*m + 2*m + 5*h + 50 = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n + 19*n + 7*n + 0*n - n + 3*n - 2 - 2*n + 2 + (3*n - 3*n - 2*n)*(-2 + 3 + 1) - 2*n + 3*n - 3*n + 0 + 2*n + 0 - n - 3*n + 6*n.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 33. Let t be m(0). Suppose -3*j + 3 - 4 = p, 3*p + j = 37. What is the units digit of p\/3 + 11\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 - 3*g**2 - 4*g - 4. Let n = 19 - 29. Let r(j) = 2*j + 13. Let a be r(n). Let k(d) = 9*d**3 - 5*d**2 - 7*d - 7. Calculate a*q(u) + 4*k(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-3) + 1 + 2)*1. Suppose b = 3*i + 22, 5*b + 2*i - 17 - 8 = s. Do 7 and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35101 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-189) - 17\/14.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r**3 - 5*r**3 + 47*r**3 + 3*r**3 + r**2 + 4*r**3 + 2 + r**4 to the form c + k*r**3 + j*r**2 + q*r**4 + h*r and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 - -235. Let q = f - 509\/7. Let t = -16 - -14. What is the nearest to q in 3, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = -0*m - 5*q, 5*m = -5*q + 30. Suppose 2 = -v + 4*f - 8*f, 14 = m*v + 5*f. Let y be 24 - (4 + -2)\/(-2). Solve 0 = v*k - k - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**2 + 3*w - 2. Let y be i(4). Let l be (-1 + -1)*1 - -3*64\/12. What is the greatest common factor of l and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.4 - -1.4. Let f = 19 + h. Suppose -4*m - 4*x - 18 - 14 = 0, -3*x = -3*m. Which is the second biggest value? (a) 3 (b) f (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 1197996968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 1\/4*g**4 - 1\/2*g**2 + g - 37 - 1\/3*g**3. Determine b(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:11 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*-163193.3\nAnswer: -815966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 63*g**2 - 5*g + 5. Let z(t) = 9*t - 2 - 12*t + 32*t**2 - 2 + 0*t + 7. Give 3*n(q) - 5*z(q).\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s, 9888 = 3*x - 2*s - s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75907500 divided by -60\nAnswer: 1265125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 98. Suppose -4*y + 7*y = h. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/21 - (-18)\/27)*-1. Which is the closest to -1\/3? (a) d (b) -10 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/42 + -52*(-6)\/36?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4 - 2131*p**3 + 79936*p**2 - 608240*p - 2601600 = 0?\nAnswer: -2168, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 9*j**2 - 4*j + 3. Let c(o) be the second derivative of -o**5\/20 - 2*o**4\/3 + o**3\/2 - o**2 - 14*o. Determine -4*c(r) - 3*u(r).\nAnswer: r**3 + 5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*j = -8983 - 10350 - 6172 + 7289 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097 - 20*y**3 + 1097 + 22*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/5)*v\/((v**(-32)*v)\/v)*(v\/v**(-28))\/(v\/(v*v*v**(-39))))**48 assuming v is positive.\nAnswer: v**(5424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(76) + (sqrt(931)*-2 + sqrt(931))**2 + 1 - -4*(6*sqrt(513))\/sqrt(3).\nAnswer: 74*sqrt(19) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4382 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 160\/1857 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -123*w + 7644. Let x be m(60). Is 254 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*v**2 - 40*v**4 - 614*v + 197*v**2 - 447*v**2 + 1 wrt v.\nAnswer: -480*v**2 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*m = -29, -226*m - 11 - 8 = -2*a - 223*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -13419.0096785336.\nAnswer: 13421.0096785336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*f + 3*f + 56, v - 3*f - 1 = 0. What is the greatest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*z + 12, -4 = -0*z + z. Suppose 4*t = -2*b + b - 12, 0 = -3*b + 4*t + 12. What is the second derivative of -k + 4*k**3 + c*k**3 + b*k wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -8303.95\nAnswer: 1660.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252619 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnf when three letters picked without replacement from {f: 9, n: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6 (base 13) in base 11?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and -300.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/720 + t**5\/30 + 5*t**4\/12 + 5*t. Let y(z) be the third derivative of l(z). Differentiate y(n) wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*m**4 - 2*a*m - 6362*a - 15735143*m**5 + 58*m - 1 wrt m?\nAnswer: 12*a*m**2 - 314702860*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 426 - 457 = 0. What is the units digit of 23\/((-69)\/(-18)) + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**4 - 242*f**3 + 14*f**2 - 14*f + 3727 wrt f?\nAnswer: 36*f**2 - 1452*f + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.16 - -1.06. What is the closest to -0.2 in 4, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2192\/11 + 199. Sort 0.3, -1\/3, v in decreasing order.\nAnswer: 0.3, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p - 2*p. Let b(t) = -4*t**3 + 2*t**2 - t. Give b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z - 5\/2*z**2 + 2\/3*z**3 - 16. Suppose -7 = -2*j + 3. Let l(m) = -3*m**2 + 9*m. Give j*l(h) + 9*o(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7 = -3. Suppose 0 = 2*v - 2 - 2. Determine l, given that -2*l**v + 5 - 2 - m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 649 - 3895\/6. Which is the third biggest value? (a) 0.02 (b) -5 (c) -0.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 7 = -5*k + 2*k, -16 = -3*k + 4*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -101. Solve 0*v = -i - 5*v - 1, 4*i - 3*v - m = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 11 = -5*q + 2*y, 0 = 2*q + 4*y - 20. Suppose 2*w = -5*z + 94, z - 94 = -q*w + 2*z. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 668*t - 3425. What is m(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -7. Calculate the remainder when 4\/14 - 393\/(-21) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16782 + 553*c + 16782)*(c - 2*c + 3*c) + (1 + 2*c - 1)*(-c + 2*c + 0*c) - c + 2*c**2 + c in the form i + s*c + p*c**2 and give p.\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) -4 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s. Let t(v) = -11*v + 8. Let r(o) = 0*o + 6*o + o - 4 - 1. Let l(q) = -6*q**2 + 1. Let f be l(-1). Let n(y) = f*t(y) - 8*r(y). What is g(n(z))?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4494 = -5*y. Let i = y + 15671\/7. Let s = i + 95\/14. Which is the nearest to 2? (a) 0.3 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 121*x\/2 - 2356.\nAnswer: (x - 152)*(x + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.52886l to millilitres.\nAnswer: 5528.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 5*m**2 - m - 9. What is x(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 - 3*o + 3. Let y be w(-3). What is the third derivative of 5*n**5 - 5*n**2 + y*n**5 + 4*n**6 - 8*n**5 wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z - 19*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 25, 34, 43?\n\"Answer: 9*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/56 - -3\/8. Factor -4\/7*d + 0 + s*d**2.\nAnswer: 2*d*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164082.503059 + -164803.5027. Let u = f - -721. What is u rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 744107963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.18551652 + -1.1854. What is u rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21 + 5 = 0. Suppose 0 = -m*w + 3*y + 14 + 17, -39 = -3*w - 3*y. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1948 is divided by 547.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1048838*v**3 + 3670154*v**2?\nAnswer: -6293028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7005347 divided by 6?\nAnswer: -7005347\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/15 + 5 + -1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 + 4*n**2 - 8*n. Let f(s) = -s**3 + s**2 - 3*s. Let c(t) = -5*b(t) + 16*f(t). Factor c(q).\nAnswer: 4*q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 - 10 = 0. Solve -y + 2 - q = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30024.17 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138.3 + 75.1. What is a rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 78.0562 years?\nAnswer: 0.780562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4, 17*o - 3*z = 14*o - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:09 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295 + 298. Solve 0 = o*s - 5*d + 10, 2*s + 4*d = -s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 18*w - 3680 = 0. Let p = w + -337. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*h = -3475, -5816*q + 5813*q = h - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5.8, 0.3, 0, -5?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 146468 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.06 - 20.06. What is the biggest value in 3.37, -1\/2, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**4\/5 - 6*y**3\/5 - 204*y**2\/5 - 336*y\/5 = 0.\nAnswer: -4, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/23 (b) 4 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(112) + -2 + sqrt(112) + sqrt(112))*6 - 4*(sqrt(112) + 1))**2.\nAnswer: -66624 + 5376*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 117. Let u(c) = -2*c**2 + 51*c + 43. Calculate the lowest common multiple of 44 and u(k).\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 take away 130?\nAnswer: -133.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468950 - 468963.50000096. Let k = 28 + -14.5. Let p = a + k. What is p rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.02 - -0.02. Let g = 19.1 + z. Which is the closest to -7? (a) g (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12441300040 (base 5) to base 9\nAnswer: 32263555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:00 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (15 + -25)) + 0 - -22.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(468)*2 + 4*sqrt(468)*1)**2.\nAnswer: -72*sqrt(13) + 16849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b*u*x**3 + 2*b*u*x**2 + 32*b*u*x + b - 12*u*x**4 + 2*x**4 wrt x.\nAnswer: 48*b*u - 288*u*x + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b\/b**(-2\/3))*b**(-1\/4)*b**(-3\/10))\/((b**2)**(-3\/20))**(-1\/14) assuming b is positive.\nAnswer: b**(79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/12439 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 608\/3? (a) 4 (b) -4\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 + -2 - 3) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/12733 - 199371\/560252. Calculate the common denominator of z and 157\/198.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -7*r**4\/24 + 19*r**3 + 54*r**2. Let b be z(16). Solve s - 8 = -2*n + 2, 2*n - b = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 113598 + 308394. Suppose -8*s + 28076 = -g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-17) + (120\/(-136) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-10) + (-4)\/(-10). Suppose 4*t = -5*b - 131, 4*t + 51 = -g*b - 74. Round t to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -26. Calculate the remainder when (-30)\/18*(-198)\/(-110) - -87 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/8 + 47\/24. Find j, given that -15*j**2 - 8*j - 25\/3*j**3 - u = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11211, -11207, -11199, -11187, -11171, -11151?\nAnswer: -11127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254863 is divided by 1185.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.2 - -57. Let h = r + -22. What is h rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 - 13*r + 76)*(-3*r**2 + 0*r**2 + 0*r**2) + 255*r**3 - 261*r**3 + 3*r + 0*r as o*r + l*r**2 + f + n*r**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 18, 16, 16, 18, 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(1 - 0) + 4. Solve v - 2 = n, -v + 0*n = -j*n - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**3 - 3*r**2 + 3*r**2 + (0 + 2 - 1)*(r**3 + 3*r**3 + 0*r**3) to o*r**2 + k + n*r**3 + f*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = -2 + 2. Sort c, 5, -2, 3 in descending order.\nAnswer: 5, 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/((-6)\/63). Suppose d*g + 258 = 748. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22419.42 months in decades?\nAnswer: 186.8285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 + 196. What is the nearest to -2\/5 in q, -4\/3, -15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4882*x - 4879*x + 6*g - 33, -1 + 17 = 2*x + 2*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n**3)*(146 + 93 + 369 - 4)*(0*n + 2*n - 3*n).\nAnswer: -604*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166*f - 508 wrt f?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714, 1469, 2224, 2979?\nAnswer: 3734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 692 and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 18 - 43*c - 119 - 6*c.\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o\/o**16)*o*o)\/o)\/o**(1\/28))\/(o**(1\/3)*o)**(2\/45) assuming o is positive.\nAnswer: o**(71461\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 + 1674 = -147*h - 46 - 373 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2094 and 492788?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2734558*g**3*w**3 + 1726466*g**3 wrt w?\nAnswer: -8203674*g**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 149*k + 708. Let p(n) = -153*n + 708. Let o(z) = -3*j(z) + 4*p(z). Factor o(f).\nAnswer: -3*(f - 4)*(f + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m**2 - 63*m + 28. Determine v(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 4*t - 768 = 8*t. Sort t, 0, 16.\nAnswer: t, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 0.36, -1\/4.\nAnswer: -1\/4, 0.36, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25\/20)\/((-2)\/(-8)). Suppose 0 = i*a - 15. Suppose 2*b - t = a*b - 16, -3*b + 56 = t. What is the remainder when b is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*h + 15*f**2*h*m + 2*f**2*l**2*m + f*h*l*m - 3*f*l**2*m + 2*f*l + 2*h*l**2 + 3*l**2*m wrt f.\nAnswer: -18*f*h + 30*h*m + 4*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (30\/8)\/((-15)\/(-40) + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2678618556 to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*l = -20, -4*r + 14 = l + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51272869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 + 112 - 48)*(-a**2 - 6*a**2 + 4*a**2) + 4*a - 34*a**2 + 10*a - 85*a**2 - 14*a to v*a**2 + h*a + u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let f be m(2). Suppose -3*h + 20 = -4*v, 0 = 2*v - 0*v + f*h + 10. Let x = -2 - v. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137964*q**2 + 105*q + 137965*q**2 + 335*q.\nAnswer: q**2 + 440*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43398, 86790, 130182?\nAnswer: 173574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9456 divided by -6.\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbttbttbbbbbbb. What is prob of sequence tbbt?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 177.3 times 0.3\nAnswer: 53.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**4 + 7*g**2 + 5*g. Let x(b) = b**4 - 4*b**2 - 2*b. Let a(z) = 2*k(z) + 5*x(z). Find the third derivative of a(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33115455*b - 20536302 wrt b?\nAnswer: -33115455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 - 22440*h**3 + 25965988*h**2 + 15444644160*h + 1894829334784 = 0. What is h?\nAnswer: -227, 3032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*l**3 - 2*l**3 + 2 - 2*l + 2*l**2 in the form n*l**2 + z*l**3 + m + f*l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1241 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11228929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 - 3*o + 1. Let m = 109 - 106. Give v(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 2*n + 2*f, 0 = -4*f. Sort n, -3, 5 in descending order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xyxxadexx.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 10*m**2 + 2*m - 58. Let h be g(-9). Let q = -42 - -62. Solve h*u + q = 5*l, l + l - 3 = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*k = 10830000, -3*q - 10830000 = 8*k - 4*k. Round q to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(4*d + 0*d - 2*d) - 2*d - 4*d + 5*d - 16 - 6*d + d + 20 + (-5 + 5 - 1)*(2 - 2*d - 2) - 2*d - d + 2*d to the form q + t*d and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 0 - (-197 - -218)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(12)\/sqrt(2))\/sqrt(3) + 2 - sqrt(14)\/(-4*2*sqrt(7))))*-3)**2.\nAnswer: 243*sqrt(2)\/2 + 11097\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5 - 10. Suppose -b*c + 1144 = 3*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = -2*y. Suppose y*z - v + 10 = 3*v, -4 = -v. Let j be (z\/21)\/(6\/9). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -820047 or -820046?\nAnswer: -820046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-282)*80\/(-100). What is the second smallest value in g, -0.04, 4, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144720 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 125*v**2 - 557*v - 5319. Give s(-129).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 13\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-26) - (-240)\/39. Suppose v*k - 20 = 2*k. Sort 4, -8, k.\nAnswer: -8, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 (base 13) to base 7\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 8*w**3 - 7*w**3 + 3*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 1, -0.2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(396)*1.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4082*l**3*v**2 + 9*l**3*v - 11*l**3 + 8*l**2 + 2*v wrt v?\nAnswer: 8164*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7889237\/729 + -10822. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 10:13 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*a**4\/13 - 292*a**3\/13 - 4166*a**2\/13 - 10760*a\/13 + 200 = 0. What is a?\nAnswer: -5, 2\/9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 3373*w - 32660*w - 22763*w - 20529*w + (-2*w + 2 - 2)*(2*w + 0*w - 3*w) as v + o*w**2 + t*w and give t.\nAnswer: -72579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 + 8*a**4 - 92 - 52*a**3 + 47 + 2*a**4 - 2*a**4 - 2*a to x + g*a + q*a**3 + k*a**2 + o*a**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 59821837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*v + 25. Suppose -5*d + 25 = 5*o, o + 6*d = d + v. Let l(c) = c**3 + 20*c**2 - 2*c - 37. Let t be l(-20). Solve -t*j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4665296689202*o**2\/3 - 54982836*o - 486.\nAnswer: -2*(1527301*o + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(78)*4)\/(sqrt(30)\/(-1*sqrt(5))))**2 + 6*-6*(sqrt(1053) - sqrt(1053)*3).\nAnswer: 834 + 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r = -46*r - 23*r - 252693. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238684 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2625\/44100)\/((-2)\/(-8))*14\/(-4).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -365, 0.3, 2.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13615565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 98 - 42 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 26. What is the second biggest value in -4, 2, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(125) + 0 + sqrt(125) + sqrt(125)*1 + 5) + (3*(sqrt(125) + sqrt(125) + -1) - 3*(sqrt(125) + 0)) + 3)**2.\nAnswer: 1260*sqrt(5) + 55161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113132 - 4?\nAnswer: 113123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1200*v - 1096*v = 520 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 103222313 (base 5) to base 7\nAnswer: 3533230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x + 17*x + 100 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 373, 388, 409, 436, 469?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 792314517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 8) + -27 + 1413\/(-141)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10 + 3 + 38*p**2 + 0 to r + b*p**2 + n*p and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*u = 0, -3*w = -0*w - 3*u - 15. Let c = -6 + w. Let s(t) = -t. Let r(p) = -6*p. What is c*r(x) + 11*s(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, -32\/19, -3, -2\/7 in increasing order.\nAnswer: -3, -32\/19, -2\/7, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(228) + sqrt(228)))\/((sqrt(72)*-1)\/sqrt(6)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2273 = 7*w - 1332. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3668*h - 24. Suppose 0 = -22*i + 21*i + 8. Suppose -i*k + 5*k = -54. Let a be g(k). What is a rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*u - 20, 3*i + 2*u + 4 = -4. Suppose 4*h = -4*m + 4, i*h = -4*m - h + 10. Solve 0 = s - m*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (4 + -9) - (-146 - (-11 + -25)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 20, -0.2, -2\/17.\nAnswer: -5, -0.2, -2\/17, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/72 and (-94)\/(-799) + (-2374)\/816 + -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46875087.6 rounded to the nearest one hundred thousand?\nAnswer: 46900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/5 - 12257*r**3 - 919437*r**2\/5 - 3861851*r\/5 - 600740 = 0.\nAnswer: -7, -1, 61300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24143 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 15*k + 272 = 0. Let o be (5 + (-168)\/32)*k\/(-3). Is o > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44 - 0)\/(-3 + 5). Let n(f) = f**3 + 7*f**2 + 6*f + 3. Let y be n(-6). Suppose 5*p - y = q. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -59, -36, 547 in descending order.\nAnswer: 547, -3, -5, -36, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3596642 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/14)\/((-1)\/492). Round z to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -855, 3, 4, -3.\nAnswer: -855, -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*p + 134 - 118, 5*t = -p - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004316 to seven dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h. Suppose 5*t + 0*b = 3*b, -37 = -4*t - 5*b. Suppose h*w - w = 0, 2*o - t*w - 112 = 0. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91127696 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/15, -2, 3368, 1 in descending order.\nAnswer: 3368, 3, 1, 2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 9\/2*p**2 + 3\/2*p**3 + 0 + 3*p = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56*(-17)\/11424)\/(2\/(-456))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 9*w. Let v be (-6052)\/(-340) - (2\/(-10) + 0). Which is the nearest to w? (a) 0.4 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 16 = 2*n, 0*n + n - 14 = -4*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036 + 0.464. What is the smallest value in -2\/15, d, -22, 3\/5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21 = -4*q, 4*d + 127 = -q + 135. Let w(h) be the third derivative of h**6\/20 - h**5\/30 + h**4\/12 - h**3\/6 + 2*h**2. Determine w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 31043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 100 = 0. Calculate the highest common divisor of 220 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60083?\nAnswer: 60083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**2 - 108375*m + 758380 = 0.\nAnswer: 7, 21668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 21*n + 71. Determine o(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 25*x + 124. Let i(h) = -h. Let g(r) = -3*i(r) - j(r). Let f(k) = k**2 - 1. Let w(s) = -12*f(s) + 4*g(s). Factor w(o).\nAnswer: -4*(o + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 59, 3\/2, 0.02?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 53*w - 1404 = 0. Calculate the greatest common factor of 416 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4. Let j(k) = k**3 + 16*k**2 - 20*k - 48. Let q be j(-17). Calculate a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (545*f + 503*f - 645*f - 2)*(-2*f**2 - 2*f**2 + 6*f**2).\nAnswer: 806*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983.445 centuries in decades?\nAnswer: 59834.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + (-4 + 4 + 20 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - f + 4*f + (2*f + 0*f - 4*f)*(-2 - 2 + 2) + 5*f - 5*f + f + 7*f + 16*f - 8*f)*(-f**2 + 0*f**2 - f**2).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 13*h**2 - 12*h + 6. Let g be t(12). Suppose 52*p - g = 50*p. Suppose -u = 5*o + 4*u - 4180, 2*o + p*u - 1673 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + 0.095. Let y = 0.085 - v. Let i = y - -3.14. What is i rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 11*w + 40 = 0. Find the third derivative of -52*d**2 - 15*d**2 - 17*d**2 - 11*d**5 + 13*d**w wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 8*j**2 - 17*j**2 - 3*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1092926 + 5?\nAnswer: 1092930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*d + 5, 3*m - d = -3*d - 2. Is m at least as big as -5\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 1, b: 9, k: 2}. What is prob of picking 1 k, 2 p, and 1 b?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 1. Let x(g) = -4*g - 2. Let p(h) = -5*f(h) - x(h). Let k(w) = -7*w + 8. Give 5*k(r) - 6*p(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*l - 2, 2*k = 6*k + 4*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 99 + -110 - (-28 - (-1 - -2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 234?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c + 25 = -59*c. Let g(x) = -2*x + 6. Let b(i) = 2*i - 5. What is c*b(p) + 4*g(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 192005221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 3*y - 10)*(-4*y + 6*y - y) - 3*y**2 + y**2 + y**2 to g*y**2 + u*y + o and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (13 - (-12 + 20)) - -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 40110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(112) + sqrt(7) + sqrt(7) + ((sqrt(84) - (sqrt(84) + -3*sqrt(84)))\/sqrt(12))**2 + ((sqrt(28) - sqrt(112)\/sqrt(4))*-5)\/(sqrt(256)*1) + 1.\nAnswer: -10*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c - 65. Let k be v(32). Let b = k - 246. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dudugxuygig. Give prob of sequence uug.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 64*x + 499. Let h be r(-55). Put -3, 1, h, -38 in increasing order.\nAnswer: -38, -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 8*k**2 - 7*k - 10. Let m be t(-5). Let d(c) = -c**2 - 12*c - 6. Let s be d(-6). What is the greatest common divisor of m and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -40, -80, -134, -202, -284, -380?\n\"Answer: -7*k**2 - 5*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165.9 - -166. Sort v, 3\/22, -5 in decreasing order.\nAnswer: 3\/22, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(200) - (-2 + sqrt(200))*-6)**2 + -4 + sqrt(200) + (sqrt(200) - (0 + -1 + sqrt(200)))**2)*-4*-1.\nAnswer: -159116 + 26920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x - 16. Let t = 0.03 + -0.63. Let c = t + 0.8. What is the closest to -2\/3 in x, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185 + 188. Find the third derivative of -6*i + 6*i - 43*i**3 - 40*i**k - 62*i**2 wrt i.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.263*-1.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1044197532 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:53 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(2\/27)*g)*g**5\/g assuming g is positive.\nAnswer: g**(106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12 = 3*l, -15*f + 12 = -3*l - 17*f. Let u(g) = -g**2 - g. Let t(n) = -2*n**3 + 7*n**2 + 4*n. What is l*u(y) - t(y)?\nAnswer: 2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-3)*(-650)\/37440*42?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480 + 689. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-8))\/(15\/140). Let n be (-6)\/q - (-1256)\/(-14). Let l be (-435)\/n + 1\/6. Solve -4*h = -5*h - x - l, -2*h + 4*x + 14 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18369*v - 2 - 18372*v + 2 + 36740*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 5993087?\nAnswer: 599308c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4)\/(o**(-21)*o*o) assuming o is positive.\nAnswer: o**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02407 + 0.03463. Which is the closest to j? (a) 0 (b) -5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/4)\/u))**(-2\/41)\/(u\/u**(-2\/3))**(-35))**(-1\/29) assuming u is positive.\nAnswer: u**(-14329\/7134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 111320?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*r**3*s**2 + r**3 + 33*s wrt s?\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(270) - ((sqrt(270) - sqrt(270)*-1*6) + sqrt(270))))\/((sqrt(10) + sqrt(60)\/(sqrt(12)\/sqrt(2)))*-5)*-3.\nAnswer: -189*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - (-28)\/(-5). Let y(a) = -a**2 - 8*a - 3. What is the remainder when 25 is divided by y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -722, -738, -768, -818, -894?\n\"Answer: -w**3 - w**2 - 6*w - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t + h, -2*t - 5*h = 15 + 3. Let g(l) be the first derivative of -l**2\/2 + l + 54. Let q(o) = -4*o - 6*o + 6 + 3*o. Determine t*q(u) - 5*g(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**8\/1512 + j**7\/189 + 2*j**6\/135 + 2*j**5\/135 - j**2 + 12*j. Factor t(q).\nAnswer: 2*q**2*(q + 1)*(q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 11*v**2 - 13*v**2 + 6*v)*(49 - 23 + 12).\nAnswer: -76*v**2 + 190*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 123.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00450751 rounded to four decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131 + 20651261?\nAnswer: 20651130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-14)*9*(-4)\/(-36)*3\/(-70).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -5*d + 11*d. Let q = 24 - d. Suppose q = 3*k - 276 - 15. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5837766 to the power of 1\/2, to the nearest integer?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239994 = -53*p + 696854. List the prime factors of p.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-35)*5)\/(1\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 3*f**3 + 5*f**3 - 4*f**2 + 6*f**2 + f - 8. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10101 and 274281?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040)*-5 + sqrt(5040))\/(1*sqrt(700)) + -4)**2.\nAnswer: 192*sqrt(5)\/5 + 656\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47112740*y**5 + 1529*y**2 - 392 wrt y?\nAnswer: -2826764400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w + 94. Let g be 5 - 3*(1 + -2). Let n be o(g). Is -7 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 135*f**4\/2 + f**3\/6 + f**2\/2 - 5*f. Let w be l(-1). Round w to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5397798.89 to the nearest one thousand.\nAnswer: -5398000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.56 rounded to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.6 - -31. What is the nearest to -2 in 1, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 42. Let t(g) be the third derivative of 5*g**4\/24 + 2*g**3\/3 - g**2. Let h be -5 + 0\/1 + 1. Let c(v) = -6*v - 5. Calculate h*c(z) + j*t(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -61*n**3 - 3*n**2 - 3*n - 3. Is f(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -54. Let c be (-143579347)\/(-13) - j\/(117\/(-6)). Suppose -8*h - 3915435 = c. What is h rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.024 (b) 2\/5 (c) -1.9 (d) 1 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1720324*k**3*z + 26*k**3 - 6*k*z + 7518*k + 2370*z wrt k.\nAnswer: -10321944*k*z + 156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*w**2 + 86*w**2 + 446 - 468 in the form y*w**2 + n*w + j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3085597?\nAnswer: 47, 65651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 + 2215*a**4 + 134190*a**3.\nAnswer: -5*a**3*(a - 497)*(a + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929602 is divided by 1294.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1544*t**2 + 3077*t**2 - 1537*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 7*j - 175 + 69 = -77, -d + 2*j = 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33053404247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - s - 4 + 6 to a*s + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*m + 5. Let y(p) = -64*p + 10. What are the prime factors of y(m)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2. Let s(w) = 6*w. Determine a(s(f)).\nAnswer: -216*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) 1\/7 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/28)\/((-18)\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:42 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1420800 by 4440.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 214395982?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*w + o - 5, -4*o = -3*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 4}. What is prob of sequence zz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. What is the remainder when 6 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 11*i**2 - 64*i - 142. Calculate o(-11).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -8 + 147 + -64?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.9, -0.6, -0.2, 5 in descending order.\nAnswer: 5, 0.9, -1\/9, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470 + -315. Calculate the remainder when l is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 11*u**2 + u + 22. What is g(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2075 + 3390. List the prime factors of g.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48 - 4.52. Let x = 946 + -945.7. Which is the second smallest value? (a) 4 (b) x (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1788)\/(-8))\/((-3)\/(-4)). Suppose o + q = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22382747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -135\/3391 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3\/7, -1.04, -44.4, 25 in descending order.\nAnswer: 25, 3\/7, -1.04, -5, -44.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 623424900 divided by -6234249\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 867 - 860. Solve b*y - 5 = 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = 2*a - 3*c, -3*a = -2*c - 1. Let p be a*(8\/(-21))\/4. Is 3\/2 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-12))\/(190\/228)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 2, 345, 17.\nAnswer: 0, 2, 7, 17, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 13 = 13*u - 4*f, -5*f = -2*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*w - 105. Solve -y + w = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0*o = -4*o + 2*b + 15, 0 = 10*o + 2*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (227556\/9030)\/((-133)\/(-5))?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 + 0.08. Let t = -80.96 + 81. Let u = t - n. Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from bbbbbqbbbbbbbbbbqbb.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*d = -1450, 0 = -4*q - d + 625 + 2261. Is q less than 1443\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 18*z - 1. Let y(o) = -o + 1. Let i(a) = w(a) + 3*y(a). Let j = -84 + 94. What is the remainder when i(3) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 = -76*h + 3804 + 3064 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most 10.691603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000032444984 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 47, 68, 67, 26?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*c, 30 = 3*c - 3*t - 2*t. Let q = -99 + 149. Suppose 10 = c*s - q. Calculate the greatest common divisor of s and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.17, -0.5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-2\/3)\/a)\/a)\/a)**(34\/5)*(a\/a**(-6))\/a*a**(-2\/7))\/(((a**(1\/5)*a)\/a)\/a*a**(1\/2))**(-12) assuming a is positive.\nAnswer: a**(-2396\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -13*g**6\/40 + g**5\/60 - g**3\/6 + g**2. Let m be l(-1). What are the prime factors of (m\/6)\/(1\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 45 = -3*x, -2*l - l - 4*x = 27. Let j be (3\/(l\/(-2)))\/((-12)\/90). Let n(u) = u**3 + 6*u**2 + 4*u + 5. Determine n(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - 10.6. Let n = p + 13. Let b = n - 1. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480949 to the power of 1\/2, to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 2*c**2 - 3*c + 3. Let z be q(3). Let g be (-84)\/8*(-2)\/z. Let f = 18 + -4. What is the highest common divisor of f and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 0.24. Let j = -5181 - -5180.6. What is the nearest to j in -1\/4, q, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -2 - ((2 - (5 + -7)) + -14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2755 and -143\/16064550.\nAnswer: 305226450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/516 and 17\/436.\nAnswer: 56244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -141*b + 140*b + g, 2 = -4*b - 3*g + 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*m - 2*m**2 - 2*m)*(-4 + 1 + 1) - 13*m**2 - 14*m**2 + 41*m**2)*(4 - 1 - 4) to k + v*m + x*m**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 1 = -2*m - b, 2*m + 3*b = 23. Solve 0 = -n - 3*z + m, 0*z + z = n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(70)\/(sqrt(7) + sqrt(63))))\/(sqrt(588) - (sqrt(588)*-1*-1 - sqrt(588))).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 675332*h**5 - 258543*h wrt h?\nAnswer: 13506640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 635 (base 8) to base 5\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198666?\nAnswer: 2, 3, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5688038*i*m + 2432*m - 2124 wrt i?\nAnswer: 5688038*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = -448 + 133. What is the highest common divisor of 15 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f + 12. Calculate s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4579*i**4 - 74*i**2 + 4249489*i?\nAnswer: -54948*i**2 - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1779 - -1779. Let s(r) be the first derivative of 29\/5*r**5 - 25 + 0*r + x*r**4 + 0*r**2 - 3*r**3. Find the third derivative of s(a) wrt a.\nAnswer: 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*-2*sqrt(3))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11662 divided by -2?\nAnswer: -5831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 25083 = -1502. Round r to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*j + 233*j = 140. Which is smaller: -67 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c - 20 = -41*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888959559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 + -147.8. Put -1\/3, w, 1, -7 in decreasing order.\nAnswer: 1, w, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 15, h - 2*h = -3*l + 20. Suppose -3*z + l*z = 96. Let i be (-242)\/(-10) - 3\/15. Calculate the highest common factor of i and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000132800694 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -485 and -485 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 796 + -805. Which is the nearest to 0.1? (a) 0.9 (b) -5 (c) -1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 34\/3*t**3 - 1\/6*t**4 + 0 - 1\/60*t**5 + 0*t + 48*t**2. Let a be b(-10). Solve -6*o + a*o - 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -18*x - 2. What is l(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5 - t**2 - 5*t**2 + 2*t + 9*t + 7*t**2. Let i be s(-12). Find the second derivative of 98*y - 105*y - 5*y**3 - i*y**3 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 0. Let l(s) = s**2 - s + 3. List the prime factors of l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p + 192 + 43 = 118*p - 60*p + 6*q, p - q + 39 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z**2 + 12*z + 16. Let a be r(6). Suppose -3*w = -0*v + 4*v - 356, -3*w = 5*v - a. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x + 6. Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvnnvvv. What is prob of picking 2 v?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjhshjsjjjhssjshs. What is prob of picking 1 h and 1 s?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-28))\/(118256\/(-124480)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 - p**2 - p**2)*(7*p**2 + 4*p**2 - 7*p**2) + 86*p**4 + 8472 - 8472 in the form x*p**4 + n*p**3 + c*p + z + a*p**2 and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(63)\/(sqrt(18)\/sqrt(6)))\/(-6*2*sqrt(7)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, v: 1}. What is prob of sequence hhv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76 - 0?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 1922851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273\/52*112\/(-12) - -196.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 567 and 140133.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253\/2 - -123. Sort 0.1, 2\/9, l in decreasing order.\nAnswer: 2\/9, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88623\/14 + -6338. Calculate the common denominator of 66\/20*(-40)\/(-56) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 - 93. What is the smallest common multiple of (-32)\/20*(-5)\/2 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 261 - 3360?\nAnswer: -3066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 26317953.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4475, 5 in decreasing order.\nAnswer: 4475, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) + (-2)\/(-8). Let d(g) be the second derivative of a*g**2 - 2\/5*g**6 - 2\/5*g**5 - 4\/27*g**4 + 0 + g + 0*g**3 - 1\/7*g**7. Factor d(h).\nAnswer: -2*h**2*(3*h + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -11*q + 62. Solve -2*p + 0 = -q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 4. Let a(c) = 2*c - 2. Suppose 0 = 4*l - 20, 3*b = b + 2*l - 4. Let n(x) = b*j(x) - 5*a(x). Let o = 286 + -288. Determine n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -32. Suppose -i*f = 9 + 1. Which is the nearest to 2\/3? (a) f (b) -1\/4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 46, 61, 82, 109?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-16)\/(f*f**(-1\/4)))\/(((f**(-3)*f)\/f)\/((f\/f**(-2\/13))\/f)) assuming f is positive.\nAnswer: f**(-707\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(18\/(-72)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**3 + 8*a**3 + 8*a**3 - 3*a**3.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-34)*3959300\/10275?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 3\/20*a**5 + 3*a + 0*a**2 + 0 + 0*a**3 - 1\/10*a**6 + 0*a**4. Suppose y(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 2*a - a + (-a - a + 3*a)*(-1 + 0 + 2) + 0 + 2*a + 0)*(-2 - 2 + 3) to the form o + z*a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + 113. Let b = t + 50. Let w(h) = h**3 + 8*h**2 + 7*h + 3. What is w(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -638, -549, 224, 2191, 5862?\nAnswer: 11747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 5 - 21 - (-1 + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n + 5*n - 20*n**3 + 9*n**3 to the form x*n + p*n**2 + r*n**3 + l and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*v - 7, 4 = 4*l - 2*v - 2. Let t(p) = l*p - 5*p + 7*p. Let j(c) = -2*c. Let i(f) = -3*f. Let u(z) = 4*i(z) - 5*j(z). What is t(u(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 754026 and 534447?\nAnswer: 97269354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.7 - 7. Let m = -7.7 + t. Let k = 7.03 + m. What is k rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -11\/6*x**7 + 0*x**6 + 0*x**4 + 0 + 46*x + 34*x**3 + 0*x**2 + 0*x**5. What is the second derivative of q(a) wrt a?\nAnswer: -1540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -150649?\nAnswer: 10\/150649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 + -19.74. Let h = x - -23. Which is the biggest value? (a) h (b) -0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -485084 at least -7\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 + 6*n - 1. Let y be t(-8). Let x = 15 - y. Suppose u - 2 = 2*k, 4*k + k - 47 = -4*u. Solve u = -4*i - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 571651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -89*w + 73 + 0*w**2 + 0*w**4 - 10\/3*w**3 + 1\/5*w**5. Differentiate c(b) wrt b.\nAnswer: 4*b**3 - 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70688*k**4 - 2*k**3*u*z + 5*k**2*u + 306*k*u + 2*k*z + 214*u + 2*z wrt k?\nAnswer: 848256*k**2 - 12*k*u*z + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86010 and -2?\nAnswer: -172020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/1001 and 51\/1430.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 12) in base 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -35162 (c) 0 (d) 6\/5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {d: 1, j: 2, u: 1, q: 1, k: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ninniniiin.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486\/(-259787)*44\/24?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l = 99*l + 1896 - 2237 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -1 + 1 - 3. Suppose h*p = -4*j + 176, -2*p = -3*j + 2*j + 33. What is j rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 24 = -6*d. Suppose 53 = 3*g + d*z, 4*z + 98 = 5*g + z. Calculate the greatest common factor of 76 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 24*s + 239. Determine r(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m + 11. Let y(f) = -21*f - 18. Let z(s) = -8*o(s) - 5*y(s). What is the remainder when z(-9) is divided by 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 2*u**2 + 2*u - 61. What is r(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g - 1. Let h be u(2). Suppose -2*p = -4*r + r + 21, 4*p + h = 3*r. Let v = r - -47. Calculate the greatest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65897 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -17*o + 1. Let i(c) = c. Let g(j) = d(j) + 3*i(j). Suppose w - 3*z + 16 = -0, -w - z + 4 = 0. Calculate g(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 42119318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 14, f: 5}. Give prob of sequence fuu.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Suppose i = u*i - 560. Suppose 0 = -6*r + 2*r + i. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/49, -1, 0.1 in increasing order.\nAnswer: -1, -1\/49, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10099 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13588*b*p**3 - 134*b*p**2 + 7*b*p + 2*p**2 - 5 wrt p?\nAnswer: 81528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3035*r**3 - 3375*r**3 - 2974*r**3.\nAnswer: -9384*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4109 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520501 (base 6) to base 11.\nAnswer: 29327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -22. Let r = 17 + g. Let l = -0.1 + -0.4. Which is the third biggest value? (a) r (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = -20. Let d = o - -14. Suppose 0 = -2*l + z - 4 + 8, -2*l - d*z + 4 = 0. Solve 2*v = -2*h - v - 20, -2*h - 16 = l*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000111000101101000110 (base 2) in base 7?\nAnswer: 106310405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + ((-70)\/735 - 4208\/(-84))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 14*g + 13. Let a be p(7). Suppose -q = -3*j + 13, -4*j - 3*q = -0*q - a. Is j less than 18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5381106 + -0.538. What is t rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4*t**3 + 64846*h**4*t + 53805*h*t**3 + 4*h*t wrt h.\nAnswer: -36*h**2*t**3 + 778152*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let d be m\/(-7) - 132\/28. Let n = 230 + -219. Put -2, n, d, -3 in ascending order.\nAnswer: d, -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575.634 rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4595 + -4592. Which is the closest to -0.18? (a) -0.2 (b) 5\/3 (c) r (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 594*t - 373 + 48 = 863. Let w(z) = -z**2 - 14*z - 4. Calculate the lowest common multiple of t and w(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-43 - (-322)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4974 and 135458600?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 21 = -3*v, 2*j + v - 20 = 0. Let w = -39 - -35. Let c = w + j. Solve 2*r + 4 - 7 = 3*i, c*i + 4 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 17 - (-3)\/(54\/(-76)). Let c = 0.1 - 0.5. What is the closest to 1\/3 in c, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 9:31 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117933*v + 68269?\nAnswer: 117933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279 - 277. Let a(r) = 0 + 4*r**q - 6 + 3. Let c(x) = 9*x**2 - 7. Suppose 0 = 5*o - n + 71, 2*o - 17 = 3*o - 3*n. Give o*a(t) + 6*c(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 2*c**3\/3 - 4*c**2 + 4*c - 2. Let p = 1337 + -1332. What is r(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 2. Let t(i) = 6. Let r(n) = -5. Let s(w) = 5*r(w) + 4*t(w). What is -p(j) - 2*s(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 270913987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 4*b**4 + 9*b**4 + (2*b**2 - 2*b**2 - b**2)*(0*b**2 - b**2 + 2*b**2) + 11*b**3 + 6*b**3 + 3*b**3 + 2317*b**4 - 20*b**3.\nAnswer: 2322*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7553178 divided by 18?\nAnswer: -419621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -33*x - 389. Let m(d) = 26*d + 386. Calculate -4*c(l) - 5*m(l).\nAnswer: 2*l - 374","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21419709 to the power of 1\/2, to the nearest integer?\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33023 = 1044*d - 2747 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74964864.\nAnswer: 2, 3, 13, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2295, 3154, 4013, 4872, 5731, 6590?\nAnswer: 7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011 - -100?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, -476830 in decreasing order.\nAnswer: -3, -15, -476830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 - 3 = 0. Let l be 4\/(-9)*w\/4. Solve -2\/3 - 2*o + l*o**5 - 4\/3*o**2 + 4\/3*o**3 + 2*o**4 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/1218 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*h - 18720 = -186*h - 96*h. What is the highest common divisor of h and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287309263?\nAnswer: 1287309263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1630133 and 518.\nAnswer: 518.1630133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 884004*n - 40. Suppose 7*q - 2*q - 66 = -4*z, -q + 4*z = 6. Let g be j(q). Round g to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6 - (-500)\/(-120) - -6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -465, -1010, -1745, -2658, -3737, -4970?\nAnswer: -6345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6663558 and 1122?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2806 + -2807. Suppose -4*r + 0*v + 28 = 4*v, r + 13 = 4*v. What is the nearest to d in -0.5, r, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -11*p + 72, -4*w + 72 = -19*p + 22*p. Solve -w + 6 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33869237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t + 6. Let b be v(-10). Calculate the common denominator of (1*(-13)\/30)\/(4\/b) and 83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27116812.\nAnswer: 2, 6779203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -0*r. Suppose -4*m = -l + 4 + 1, -54 = -r*l - m. What is the common denominator of 13\/6 and (l\/4)\/((-2)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9 + 3 + 11*h**3 - 12*h**3 - h - 6*h**2. Let y be v(-6). Suppose 3*s + b = -y*s + 77, 0 = 4*s + 4*b - 100. Which is bigger: s or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + k + 15 = 0, -14 = 2*x + 38*k - 36*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**22\/g)\/g**(-3\/25))**(13\/5) assuming g is positive.\nAnswer: g**(7189\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 - 122 - (-12 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*g. Let d(b) = b**3 - 24*b**2 + 11*b - 183. Let p be d(26). Suppose g*s - p = -3*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56891146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a = 44*a. What is the remainder when (-101)\/(-9) + 8\/(-36) + a is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-27))\/((-1)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -37488, 1043.\nAnswer: -37488, 6, 1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 14*v**2 + 8*v. Let h(s) = 3*s**3 + 15*s**2 + 7*s. Let c(g) = 4*h(g) - 5*w(g). Factor c(r).\nAnswer: 2*r*(r - 6)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/(l\/(l*l**(-4)\/l*l)))\/(l**2)**(13\/3))\/((l**(-1))**(-50)\/(l**(2\/7)*l*l*l*l*l\/(l**(-3\/10)\/l)*l*l)) assuming l is positive.\nAnswer: l**(-9677\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odddoedoydydb. What is prob of sequence ddd?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137884 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339664 by 3692.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 133 + 119 + 9*y - 33*y - 252.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*5\/(-20) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z**(2\/7)*z*z)\/z)*z)**(-1\/10)*(z*z**(2\/5)*z*z)**4*z**(1\/5)\/(z\/z**(-2\/11))*z**6*z\/z**2*z assuming z is positive.\nAnswer: z**(14281\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 3, y: 7}. What is prob of sequence xt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 5 (b) 72 (c) -2\/17 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*l - 8 = -0*v, 4 = -5*v - l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = 0. Let b = 1 - 2. Let s = -0.53 - -0.03. Sort g, s, b in descending order.\nAnswer: g, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54227 - -3?\nAnswer: 54231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259376*v = -1259207*v - 4563 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132772, 265578, 398384, 531190, 663996, 796802?\nAnswer: 929608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6 + -2)*0. Suppose -v = -3*m + 1, -2*v - 2*v + 3*m + 14 = r. Solve 0*b = -2*b + v*d + 2, -d - 22 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 106 + 107 - 453 + 108 + r**2.\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328\/9*c - 64\/3 - 8\/9*c**3 - 34\/3*c**2 = 0. Calculate c.\nAnswer: -8, -4, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 827407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/30216 and 107\/23928.\nAnswer: 30125352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*h**2*k*s**4 - 2159*h**2*k*s**2 + 5*h**2*k*s - h**2*s + h**2 - 24*h*k*s - 4*k*s wrt s?\nAnswer: -144*h**2*k*s**2 - 4318*h**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0708 and 2.\nAnswer: 2.0708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232143 - -204?\nAnswer: 232402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.641 + 99.659. Let d = v - 75. Let u = d + -25. What is the third smallest value in -3\/5, 0, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Let y be 1\/(-1) + 3 + a. Factor -2\/3*b + 10\/3*b**2 - 2*b**y - 6*b**4 + 0.\nAnswer: -2*b*(b + 1)*(3*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 36*p**2 - 29. Calculate v(-36).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from tnayapyoo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3579369.02128 - -3579074. Let r = 295 + v. Round r to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/15 - u**2. Let v(d) be the third derivative of 0*d - 1\/60*d**5 + 0*d**4 + 0 + 0*d**3 - 5*d**2. Give t(v(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3653.\nAnswer: -2\/3653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*b**5 + 2\/15*b**4 - 4\/15*b + 0 - 2\/3*b**2 - 2\/5*b**3.\nAnswer: 2*b*(b - 2)*(b + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -32. Let y be (-1)\/3 + j\/9. Suppose 3*k + 3 = s + k, y*s - 5*k - 1 = 0. Solve 2*m - g - 5 = 0, -4*m - 4*g - 7 = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/70*27\/(-45)*(-12740)\/(-840).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7, j: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 24*s**2 + 45*s + 72. What is the remainder when 206 is divided by x(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*o - 3, 4*o - z = 10 - 1. Let d = o - 5. Let k = d - -7. Solve -3*u = -t + 12, -3*u + 3 + 0 = k*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212361701 + -602682525881\/2838. Let n = 211\/33 + b. Let f = n + 397\/2150. What is the nearest to 3\/7 in f, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3765798 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -26*v**2\/7 + 36*v\/7 - 10\/7 = 0?\nAnswer: 5\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.1. Sort -1\/6, d, -0.1.\nAnswer: d, -1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:19 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1291367730 to the nearest integer?\nAnswer: 35936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 3:14 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 906334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1356, -1440, -1600, -1848, -2196, -2656, -3240?\n\"Answer: -2*p**3 - 26*p**2 + 8*p - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29155 and 2380.\nAnswer: 116620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13779\/27566 + -2\/13783. What is the fourth biggest value in -2\/5, -0.044, 2\/19, w, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -14665.11139?\nAnswer: 14665.21139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.39 to 0 decimal places.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhf. Give prob of picking 1 c and 2 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1396494 by 14106.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 58931550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034136617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*o**2 + 892318*o - 23482.\nAnswer: -2*(o - 11741)*(38*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 275819\/5 = 55164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9304, -18626, -27948, -37270, -46592?\n\"Answer: -9322*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -10, 2, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:54 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e89 - 11a0?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 44 = 7*y - 5*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1485\/35 - (-3)\/(-7). Calculate the greatest common divisor of 320 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -187*i + 363*i + 3 - 177*i + 0. Let m = -5 + 8. Determine p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 70*j**3 + 15*j**2 + 220*j + 140.\nAnswer: -5*(j - 2)*(j + 1)**2*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 126, -1, -0.1 in descending order.\nAnswer: 126, -0.1, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.26 and 6089217.5?\nAnswer: 6089217.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 + 228 = 2*l. Suppose -4 = l*z - h - h, -z = 3*h - 17. Let o(a) = -z*a - 6 + 15 - 10 + 3*a**2. Determine o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73440493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10725\/2175 + (-2)\/(-29). Solve -4*k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.0753?\nAnswer: 0.0753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -99. Suppose -3*z + x = 14. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-552)\/(-30)*(-20)\/(-64)*4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14052 is divided by 327.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3069.5 + -3069. What is the third biggest value in -1\/7, -0.032, h, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -350*v + 4197. Give n(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 2, k: 3, t: 6, l: 1}. What is prob of sequence gl?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1251 = -5*z - 226. Is z a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 46 = p, -8 = 2*p + k + 48. What is the smallest common multiple of 44 and ((-144)\/(-15))\/(p\/(-75))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 8.7478913 to one dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(2) + (sqrt(2) + -2)*1)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 21*t - 12. Let p be s(2). Does 19 divide (11970\/p)\/(1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:20 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 51*k + 199. Let w be o(16). Suppose -474 = -4*t + u, 3*t - 464 = -t - 4*u. What is the tens digit of (t\/3)\/(6 - (-48)\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 8*i**2 - i**3 - 2*i**3 - 3*i. Let v be l(9). Let g = 163 + v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 533 - 1?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 1 = -f - 3*j, 9 = 3*f + 3*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 177 - 145 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54443 (base 8) to base 13\nAnswer: a504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 211.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -257*m + 26. Let n(c) = -4. Determine 6*n(z) + w(z).\nAnswer: -257*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 2837045, -2 in ascending order.\nAnswer: -7, -2, 5, 2837045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:07 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) -1 (c) 0.054 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1253*j**4 + 20664*j**3 - j**2 - 198294722*j.\nAnswer: 15036*j**2 + 123984*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 78 + 1 = -u, -3*m - 5*u + 97 = 0. Let z = 31 - m. Solve k + 6 = z*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2\/2 + 2695695*s + 5391384 = 0.\nAnswer: -1797128, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l + 24. Let o = -27 + 69. What is the greatest common divisor of l and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16756, -16744, -16732, -16720, -16708?\n\"Answer: 12*r - 16768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 3*(-6)\/3. Let s be 2\/l - 33\/6. Is s greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*q = f - 53410, q - 53395 = -f. What is f rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 - -9136334\nAnswer: 9136335.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1862974318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 5) to base 12.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2965, 806, -5 in decreasing order.\nAnswer: 2965, 806, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 312 + -217. Suppose -20*a + h = 15. Sort -3, a, 186 in ascending order.\nAnswer: -3, a, 186","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06830964278 to 4 decimal places.\nAnswer: 0.0683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) 0 (c) 0.3 (d) 9 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 252 = -133*q + 52*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10315843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by 107\nAnswer: 146\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -85 (b) -25\/2 (c) -24 (d) 0 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 746 and 1218980412.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 6 + 10 + -10 + 15\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 198\/(-44)*(-2)\/36. What is the closest to 0.2 in -5, 3\/2, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -41. Sort -2, 1, f in increasing order.\nAnswer: -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6*l = 2*l + 77, -3*t = 2*l - 45. Calculate the remainder when 4*(13\/2 + -16 + 15) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/1404)\/(3\/(-3))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17238711 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 4, 0.3, 3\/7, 28, 40\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3331 - -19991\/6. Let a(f) be the third derivative of -6*f**2 - 13\/120*f**6 + 0 + 0*f + 0*f**5 + 0*f**4 + k*f**3. What is the derivative of a(b) wrt b?\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-1120.3\nAnswer: -44.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - z - z + (-7*z + 4*z + 2*z)*(0 + 6 + 0) + z - 3*z + z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*m + 0)*(0*m**2 + 6*m**2 + 3*m**3 - m**2) - 10*m**4 + 25*m**4 + 9*m**4 in the form u*m**2 + f*m**3 + i*m**4 + j + k*m and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-444)\/(-16))\/(-3)*(-361)\/361\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15596 by -7.\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(((-5434)\/133)\/11)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/3 - m**3\/6 + m**2\/2 + 3*m. Let j(g) = -g**2. Determine -a(z) - 5*j(z).\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let s(g) be the second derivative of g**6\/180 - g**3 - 4*g. Let f(d) be the second derivative of s(d). Give f(n(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(16)\/sqrt(2)))\/(-3*sqrt(384) + sqrt(384)) - (sqrt(22)\/(1*sqrt(704)) + sqrt(8)\/sqrt(4)*4 + (sqrt(4) + -2*sqrt(4))\/sqrt(2)))**2.\nAnswer: 2601\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(2)*-2) - ((sqrt(2) + (1 + sqrt(2))*-4)**2 + -1).\nAnswer: -38 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 + -113. Suppose -4*g - 5*i - 1 = -6, -2*i = -4*g + k. What is the lowest common multiple of g and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (48 + (44 - 39))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 13. Let j be l(7). Suppose -j*k - 3*w = -k - 17, 0 = 5*w + 5. Suppose -2*x + 132 + 240 = k*i, 2*i + 784 = 4*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/518 and 109\/98.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174914 is divided by 43672?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-30 + -4 + -52 - 20)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2744 + 4407. Suppose 0 = -20*j + 1537 + v. What is the remainder when j is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -56. Let p = q - 15. Calculate the least common multiple of 55 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 - 3*t**2 - 6*t + 2. Let v be m(-4). Let x = v + 0. Solve 0 = -0*y - x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4795*z**4 - 35*z - 34 wrt z?\nAnswer: 57540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 35. What is the remainder when 333 is divided by -2 - (-115 + -1)\/o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 477, 412, 347?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -91582.6389 to the nearest one hundred.\nAnswer: -91600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = o - 377, -n + 3*o + 294 = 2*n. Let i be (1102\/n)\/(4\/10). Solve 4*h = -4*l - 9 - 7, 4*l - 5*h = i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140 divided by 20.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(2 - 3 - 1)*((0 - 2 + 0)*(2 + 2 - 2) - 7 + 2 + 3 + 6 + 13 - 1).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 9 - 15*q**2.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 18*b - 17. Let k be q(8). Let g = 15 + k. Calculate the highest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.477 times 20673\nAnswer: 9861.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n - 20*n + 5*n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-35))**38)**(22\/9) assuming r is positive.\nAnswer: r**(-29260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 2901*f - 2901*f + 2*f**3 to the form t*f**3 + y*f + n*f**2 + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 55?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -43792.045 to the nearest 10.\nAnswer: -43790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 4}. Give prob of picking 2 n and 2 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 16. What is b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 5*i - 215, -5*o - 15 = -i. What is the greatest common factor of 100 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*k*x**4 + k*x**3 - 4*k + 7*x**4 - 50*x**2 wrt x.\nAnswer: -264*k*x + 6*k + 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**5\/12 - 7*y**4\/12 + 3*y**2\/2 - 8. Let j(x) be the second derivative of k(x). Find the second derivative of j(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -490242087, -490242084, -490242081, -490242078, -490242075?\n\"Answer: 3*x - 490242090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4.97036531675\nAnswer: 4.97036531675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlmmlmmmmmlmmm. Give prob of picking 2 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:40 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i\/i**4))\/(i\/i**4))**39)**(18\/11))**(1\/7) assuming i is positive.\nAnswer: i**(5616\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:28 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 5*r + 70 = 0, r = 3*j + 86. Let t be (-2 - 6)\/4*3\/j. Let u be (-27)\/(-18)*4\/27. Sort t, -0.4, u in ascending order.\nAnswer: -0.4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41557627 is divided by 10389404?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/120 - d**5\/15 - 5*d**4\/24 - 2*d**3\/3 - d**2. Let h be t(-3). Does 4 divide 108\/14 + h\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254356\/9 - -28262. Factor 4\/9*t - m*t**2 + 0.\nAnswer: -2*t*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -78*p - 784. Let k be y(-14). Calculate the greatest common divisor of k and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 20*g + 25. Let u be a(-21). Let y be u\/3 + 72\/27. Suppose 3*z - 61 = -y. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f - 40. Give l(10).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167440105.\nAnswer: 5, 13, 97, 185161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 9 = -i, 2*g + 7*i - 3*i + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) 17 (c) -0.2 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-45) + 1\/(-3). Let w = -15.73 - -15.63. Sort -4, w, o in descending order.\nAnswer: w, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-640)\/(-1376)*4\/(-24). Let i(a) = a**3 - 12*a**2 + 12*a - 12. Let t be i(11). Is k at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*d + 122, 3*d - 100 = -5*s + 98. Calculate the greatest common factor of 299 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 42 + 14. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmmw when four letters picked without replacement from {w: 5, m: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79056, 79287, 79518?\n\"Answer: 231*g + 78825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -674.155888 to the nearest integer.\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-40)*(0 + 0). Let x(i) be the second derivative of -3\/2*i**2 + j + 1\/3*i**3 + 3*i. Differentiate x(m) with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809385.\nAnswer: 3, 5, 53959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*2*3\/9. Let v(d) = -8*d - 5 + 6*d**2 - 2*d**2 + 6*d + 5*d - d**3. What is v(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003853121 rounded to 7 dps?\nAnswer: 0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-16) + (-15483)\/(-104)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + -1 + (3 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15400112 (base 6) in base 10?\nAnswer: -544364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 + 0*x**2 - x**4 + 3*x**2 - 2*x**3 - 2*x**2 to c + s*x**2 + b*x**3 + z*x**4 + q*x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (9 - 8) + 20 + 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/4508221 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2\/2 - u + 4. Suppose -2 = k - 4. Let j be t(k). Let f(d) = -d - 7. What is f(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197112 is divided by 16419.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -173005 divided by -5?\nAnswer: 34601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 89 * 5.759\nAnswer: 512.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -14. Suppose -141 - 54 = -d*n. Suppose 0*a + 3*g = 3*a - n, 15 = 3*g. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1708767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*c + 497 - 431, 0 = -4*o + 3*c - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/20 + 7*n**4\/4 + 8*n**3\/3 - 13*n**2 - 16*n. Let v be d(-20). Let y = v - 53. Is y bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6061\/3 - 2020. Let h(o) be the first derivative of -10*o - l*o**3 - 4*o**2 - 13. Calculate h(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022 + 21012?\nAnswer: 122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j**2 + 112*j - 129*j + 17*j.\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445482*p**3 - 445486*p**3 + 890987*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 482 and 4.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 550. Give v(-78).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - b006?\nAnswer: -abb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/1139 at least 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9511965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.02 - -0.02. Let r = 19.9 + z. Sort -0.2, r, 0.3 in descending order.\nAnswer: 0.3, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 2*f + (f + 2 - 2)*(1 + 2 - 5) + 2*f + 2*f + f - 43*f - f + 8*f)*(-2*f + 2*f + f).\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 - 12 - -13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 10)\/(((-36)\/(-8))\/(-9)). Suppose 5*v + 1 - 29 = 2*t, 0 = -3*v - 2*t + u. Which is smaller: v or 36\/7?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhvkhhhakkhjaahvkvj. Give prob of sequence hv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -83*v**3 + 10*v**2 + 21*v + 8. What is the ten thousands digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 77\/3. Let m be (-4194)\/(-1165) - 70\/(-50). Which is the smallest value? (a) m (b) 4.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/9*6\/4. Let v(w) be the first derivative of -7\/2*w**t - 1 - w. Determine v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, m: 5, j: 4}. Give prob of picking 1 c and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k + 319. Let p be c(-11). What is the third derivative of -484*s**2 - 5*s + 5*s - p*s**4 - 5*s + 497*s**2 wrt s?\nAnswer: -3432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h + 2. Let u be f(-2). Suppose -4*v - 5*g = -2*g - 2, -8 = -u*v + 2*g. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 26289381 - 26289381.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 19 in decreasing order.\nAnswer: 19, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7897b (base 15) in base 7?\nAnswer: 3155060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1654*u - 10294.\nAnswer: -1654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 753*(0 + 1) + 5 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7581.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1447 + 5759\/4. Calculate the common denominator of s and 39\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let k = y - 0. Let o = 399 + -403. Which is the second biggest value? (a) o (b) k (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 969\/(-45) - (2 - 20\/6). Which is smaller: -21 or n?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 1048*q**2\/7 - 19462*q + 276676\/7.\nAnswer: -2*(q - 2)*(q + 263)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1387 in -38, -1\/6, 8\/7?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 + 30*r**3 - 56*r**2 = 0. Calculate r.\nAnswer: 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.7571 * 0.1\nAnswer: -0.17571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8953112, -8953115, -8953118, -8953121?\n\"Answer: -3*u - 8953109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 20*y**2 + 2*y + 1. Suppose -13*c = 697 + 1474. Let h = 166 + c. What is s(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83\/3 + 28. What is the closest to 3 in b, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/912 and 133\/18.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 44.8\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00161375335 to six dps.\nAnswer: -0.001614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + 0 - 0 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48\/725 + -94369\/56550. Calculate the common denominator of -131\/18 and x.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2\/15 - 4990*g\/3 + 49924\/5 = 0.\nAnswer: -12481, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.241 + -11.359. Let u = 9.704 + o. Round u to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 14) in base 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u + 12. Let m(r) = -20*r - 34. Let g(o) = 6*m(o) + 17*v(o). Calculate g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, v: 3, m: 1, y: 2}. Give prob of picking 3 v and 1 m.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*j = 33, -140*j + 111 = -5*i - 148*j for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 4. Suppose -6*t + 32 = -2*t. Suppose t*w - 33 = -41. What is the closest to w in -3, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 1447 + 1447 + 9*i**3 - 25*i**2 to y*i**2 + u*i**3 + p + g*i and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51540 is divided by 51539.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 6*p + 4. Let f be d(-8). Suppose -2*c + a + 18 = 3*c, 0 = 4*c + 4*a. Find i, given that -i**3 - 4*i**c - 28*i + f*i**2 + 12 + i**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1491396*t**2 - 2222414 wrt t.\nAnswer: -2982792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 21. Suppose -b*c = -2723 - 2757. Let g = c + -327. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21966 = 99*m + 5*y + 21179, y + 4 + 6 = 2*m - m + 1 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 916534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021543 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -23, -36, -63, -110, -183, -288, -431?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -255 and -670.\nAnswer: 170850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -49*q**2 + 30*q - 30. Calculate p(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301422423103 + 4?\nAnswer: -301422423044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/20 - 5*r**4\/12 - 5*r**3\/6 + r**2 - 8*r. Determine c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + p**2 - 10*p**2 - 4519*p**3.\nAnswer: -4519*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4550367, -9100733, -13651099, -18201465?\n\"Answer: -4550366*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42896, 85790, 128680, 171566, 214448?\n\"Answer: -2*c**2 + 42900*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 939329 by 1.\nAnswer: 939329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - -1. Suppose -5*k + 110 = 5*c, c + z = 3*k - 5. What is the lowest common multiple of 20 and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -14 in descending order.\nAnswer: 0.1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3797456938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-15))\/(-4)*23\/((-3312)\/(-6840))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 - 9316*m**3 + 28008*m**2 + 55936*m - 74624 = 0. What is m?\nAnswer: -2332, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/19, -14, 0.02 in decreasing order.\nAnswer: 0.02, -2\/19, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h + 22. Determine y(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from xzpxfzzfzzxp?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2373, -9486, -21341, -37938?\n\"Answer: -2371*v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/15 - v**5\/5 + 14*v. Let m(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -683\/3 (c) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 18551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758496423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwpwxwwxxwxxhhxxwxw. Give prob of picking 1 h and 1 x.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30822713*b + 1496062?\nAnswer: 30822713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - f. Are f and -3\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*l + 2400 = -2*l + 2484, l = -2 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.07 and 826.\nAnswer: 812.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 25. Let d(m) be the first derivative of -1\/18*m**4 - 1\/9*m**2 + s*m - 4\/27*m**3 - 1. Factor d(c).\nAnswer: -2*c*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -3\/4 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7334.385 micrometers to millimeters.\nAnswer: 7.334385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*x - 3*x - 15, 2*k - 29 = -5*x. Suppose 2*y + k*y = 0. What is the third biggest value in -1\/4, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Let v be 6\/(-1)*1\/(-3). What is the second derivative of 0*o - u*o**2 + 4*o - o**v wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(-2*sqrt(252) + sqrt(252))*-2)\/(1*(sqrt(12)\/sqrt(3)*5 + 2*-2*sqrt(4))).\nAnswer: -180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.745974 * -255\nAnswer: -700.22337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2709914 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Suppose 2*j + 10 = -3*a, -4*j - 14 - 2 = 4*a. Let m be v(a). Let x = m + 5. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from {k: 6, b: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 36*n**2 - 31. Let x(r) = -r**2 + r - 1. Let o(t) = -j(t) - 6*x(t). Let c(f) be the first derivative of o(f). Differentiate c(h) wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348647600 divided by -5?\nAnswer: 69729520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -56, 0, 3, 2664 in decreasing order.\nAnswer: 2664, 3, 0, -1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 584\/7. Let o = -60 - -59.9. Let d = 0.185 + -4.185. What is the nearest to 1.3 in d, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 520, 1722, 4058, 7906, 13644, 21650, 32302?\nAnswer: 45978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9675457 is divided by 879586?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -f + 6*f, 4*f - x = -2. Let r be 2 + f\/((-4 - -4) + -2). Find n, given that -9*n**r - 9\/5*n**4 + 27\/5*n + 33\/5*n**3 - 6\/5 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*s**5 - 163*s**3 + 18168*s**2 wrt s.\nAnswer: 900*s**2 - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d - -2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d - 7. Let f(l) = -l - 2. Let m(q) = -2*q - 4. Let a(n) = -15*f(n) + 6*m(n). Let u = -1 + 5. Suppose 22 - u = 3*w. Give w*a(r) + 5*o(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18412 - -1?\nAnswer: 18413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p**3 - 16*p**2 - 10*p + 10. Let d = 82 - 84. Let u(w) = -w**3 + w**2 - w + 1. Let t(h) = d*k(h) + 4*u(h). Factor t(x).\nAnswer: -4*(x - 1)*(3*x - 2)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 3)\/((9\/4)\/3). Suppose -4*s + 8 = -y. Solve -s*m + m = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1335664+102007\nAnswer: -1233657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 a when three letters picked without replacement from {c: 1, u: 2, y: 1, a: 1, m: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 18. Let a be (-3)\/(j*(-2)\/(-1220)). Round a to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82018 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11\/2, -7.17 in ascending order.\nAnswer: -7.17, -11\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132311112112 + 11?\nAnswer: -132311112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 385180949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 6*z - 24. Let d be v(-5). Suppose -4*i = 4*k + i - d, k - 11 = 2*i. Let t(l) = 4*l**2 - 13*l + 13. List the prime factors of t(k).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7655674 to the nearest integer?\nAnswer: 2767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.51*0.06.\nAnswer: -1.2906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 11*t**2 - 7*t - 9. What are the prime factors of b(-11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 1 = 85 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 9*w - 3. Put -5\/3, w, 0.1 in decreasing order.\nAnswer: w, 0.1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28.6, 2\/7, -0.3, 4 in increasing order.\nAnswer: -28.6, -0.3, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*sqrt(1344) + sqrt(1344))\/sqrt(3))**2)*5.\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.0433 + 0.0567. Let y = q + -66.8. Round y to 0 dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8270846ug?\nAnswer: 827.0846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122635 is divided by 1061287.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -134, -123, -98, -53, 18, 121?\n\"Answer: f**3 + f**2 + f - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002159104 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 107132899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 4. Suppose -2*o + 2*r + 3 + 11 = 0, 5*o = -5*r - 15. Let l be (-1)\/(o\/4 - 0). Let w(q) = -4*q + 5. What is l*w(h) + 3*t(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33715 or -33758?\nAnswer: -33758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17541*l**2 - 17484*l**2 + 35026*l**2. Let j = -6 - -14. Suppose f + j = -3*f. Calculate o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 617 + -1355. Let w = t - -371. What is the common denominator of 11\/2 and (-18)\/(-117) - w\/572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32431 (base 5) in base 12?\nAnswer: -1369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 + 39*y + y - 224*y - 6*y**3 - 2*y**2.\nAnswer: -6*y**3 - 2*y**2 - 184*y + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 7*t - 15. Let m be l(-15). Let a = m - 20. Let x = -56 + a. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 2. Let y be p(-8). Suppose 2*k = 7*k + y. Let q be (-8)\/(-5) - k\/5. Solve -v - v = -q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*g + 3*g - 5*g + 3*g + (3 - 2 - 3)*(-2*g + g + 2*g) - 2*g - 3 + 3 + 0*g - g - g + 3*g - 1 + 1 + 0 - g + 0)*(g**4 + g**2 - g**2).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 8*g + 16. Let m be y(9). Let u(s) = -9*s + 4. Let v(i) = 5*i + 2 - i - 4. Let b(c) = 3*c - 3. Let d be b(2). Calculate d*u(x) + m*v(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-12 - -6) - (-17 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/1*(-10)\/(-8). Suppose 0 = -z*k + 3*m + 24 + 2, -10 = -2*k + m. Find the second derivative of 3*a + 6*a**2 - k*a + 0*a**2 - 4*a**2 wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 0, 4, 2, -3\/8, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -3\/4*g**4 + 85 + 0*g - g**2 - 8\/3*g**3. Let u(y) = 10*y**3 + 25*y**2 + 7*y. Calculate -7*b(a) - 2*u(a).\nAnswer: a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9507 (base 11) to base 3.\nAnswer: 122021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*n**2*z - 2031*n**2 - 2*n*z + 10*z wrt z?\nAnswer: -7*n**2 - 2*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146934 and 1814.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1 + 5*d - 18*d + 11*d. Calculate r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/419 and -49\/8?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19729 + -12140. Calculate the remainder when j is divided by 253.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 13*w + 3. Suppose 76 = 10*g + 6. List the prime factors of i(g).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24121522 * 3\nAnswer: 72364566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 - 15*b**4 - 695*b**3 - 1925*b**2 + 9750*b + 35000.\nAnswer: 5*(b - 14)*(b - 4)*(b + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 10*u**5 + 9 + 2*u**5 - 2*u**5 + 2*u**5 + (1 + 2 - 2)*(-u**5 + u**5 + 2*u**5) + 3*u**3 - 3*u**3 + u**5 + u**5 + 0*u**5 + u**5.\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*f + 47*f - 10. Let n(j) = 15*j**2 - 16*j + 21. Is n(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2535 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 948 - 477 - 471.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5 - 7. Suppose -2*x - 16 = -7*x - 2*z, -2*x + i = -2*z. Suppose 5*c + 4*d - 46 = 0, 2*d - 7*d - 4 = -x*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0573 take away -8?\nAnswer: 8.0573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - s - 7 = 5, -5*r - 3*s + 6 = 0. Solve d + 45 = -4*h - 4*d, -r*d = 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**3 - 262*o**3 + 3 - 90*o**3 - 3.\nAnswer: -326*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 43 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*z + 24. Suppose 3*h + 324 = 3*w, 2*h + 453 - 15 = z*w. Calculate the highest common factor of 37 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10566 + 30350 = 4*f, -2*f + 9892 = -5*l. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 62 + 6*m + 66 - 133. Determine q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30152 + -30090. What is the remainder when 536 is divided by u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -1843 + 893 + 1650 for d.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1412*g + 373. Is l(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298377044 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*m - 3*m + 4*m + 28536*m**2.\nAnswer: 28536*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 360300954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {e: 2, p: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 5*o + 30. Suppose 5*s = 3*j + 23, 2*s - 1 = -4*j + 3. Sort -4, j, o, 6.\nAnswer: -4, j, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/12 + 125*h**4\/24 - 115*h**3\/3 + 3*h**2 + 12. Suppose o(x) = 0. What is x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:35 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 3 + 1 + 0*g)*(2*g + g - 5*g + (g + 2*g + g)*(2 + 0 - 1)) as q + v*g**2 + i*g and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5373 + 10605. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -101022202121?\nAnswer: 101022202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.88. Let m = 8.22 - x. Round m to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:55 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/39689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -27*k**5 + 446667*k**4 + 2581437*k**3 + 3425589*k**2 + 893670*k - 397176 = 0.\nAnswer: -4, -1, 2\/9, 16549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -780*d + 2382. What is m(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1149*h**4 - 18*h**5 + 18*h**2 + 1149*h**4 wrt h?\nAnswer: -1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - -16. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:08 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/(-28)*((-4)\/(-6))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 47*d - 8. Let k be p(2). Suppose -90*x + k*x = 48. Let b be (-1314)\/(-108) - (-2)\/x. What is the highest common divisor of b and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25b - -3?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.1, -0.3, -1, 1133?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c + 33. Let x be b(-6). Solve 0 = x*r - 7*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2516f - 36?\nAnswer: -251a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170173 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -952, -1403, -1854, -2305, -2756?\nAnswer: -3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 8*w = -41549780. Let n = w - 12540044. Round n to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 2, 20, 288 in increasing order.\nAnswer: -6, 0, 2, 20, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 153 = -2*j - 59, 2*j = 4*j - 2*g - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 4*v - 3. Let h = -16 + 22. Let p be -3*(40\/h)\/(-4). Let y be i(p). What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.46214742 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -4032, -9068, -16118?\nAnswer: -25182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/11, -3\/5, 0.3, -2.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1056 (b) 4 (c) -3 (d) -2\/9 (e) -2\/11 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 1296*b - 6380.\nAnswer: -4*(b - 319)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5 + 548*i**4 + 2304*i**3 - 44352*i**2 = 0.\nAnswer: -132, -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + g**2 + 1. Let z(f) = -4*f**3 + 23*f**2 + 22*f - 5. Let m(j) = 18*d(j) + 2*z(j). Factor m(n).\nAnswer: 4*(n + 1)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 32865, -1, 5 in increasing order.\nAnswer: -1, 2, 5, 32865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 10*o**2 + 33*o - 36.\nAnswer: (o - 4)*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099307129 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.12 - -1.6. Let u = i - 3.48. What is the third smallest value in -5, u, 1, -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 2*t**2 + t + 2. Let x be v(3). Suppose -2*i - 3*w + 36 = 0, 3*w = 2*i - w - x. Solve 5*y = 3*n - i, -2*y + 3 = 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 times -0.21?\nAnswer: -16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136030\/33 - 4121. Let w = 50566\/9 + -5613. Find the common denominator of f and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 407*o**2 - 51919*o + 112. What is r(102)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.06 + -0.06. Let u = 149.766 - 149.066. Which is the nearest to 0? (a) u (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28061424 and 748.\nAnswer: 308675664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20*225\/10)\/(7\/(-28))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/10 + (-3)\/(-5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 105 = -4*d. Suppose -3*x - 5 = -4*v, 2*v + 6*x - 7*x = 3. Let r(t) = 53*t - 3. Calculate the remainder when r(v) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - 1\/(5\/(-15)). Put 1, -7, -2\/7, c in decreasing order.\nAnswer: 1, -2\/7, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3976828 and 0.1.\nAnswer: -397682.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1028*c + 1036*c - 71680000 = 0. Round c to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - 197. Let u = -5 - -2. Sort -5, j, u in ascending order.\nAnswer: -5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*k - 11. Let s be 25\/(-50) - 18\/k. Suppose -71 - 21 = -2*i + 4*r, s*r - 16 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67901\/78 - -871. Calculate the common denominator of i and -49.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - 50*c - 12. Suppose 33*z - 45*z = 144. Calculate the smallest common multiple of j(z) and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*o**3 - 68*o**3 - 76*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) 7985 (b) -5 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 4)*(-1 - 3 + 2)*(2*n**2 + 0 - 1 - 1).\nAnswer: 24*n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120021010202 (base 3) in base 4?\nAnswer: -13032211310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/19768 and 73\/2824.\nAnswer: 19768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 252 and 252 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/20*70\/(-2625)*-25.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*l**3 - l + 73.\nAnswer: -276*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + -6*(-5 + 2 + -1*sqrt(396))).\nAnswer: -216*sqrt(11) - 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 5 - -5)\/(2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 18*h**3 - 8*h**2 + 24*h = 0. What is h?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20988 + -3143. Suppose 3*y + 5*u - k = 0, 0*u - 11886 = -2*y + 2*u. Suppose 2*f + 3*f - y = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i = 1443, 2*b + 4*i - 300 = 288. Suppose -3*l = -6*l + b. Suppose -4*f + l = -f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(25\/36))\/(27\/180). Let s = 38 - c. Let z = 10 + s. Let v(k) = k - 12. Calculate v(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/1156 (b) -0.041 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(8\/7)\/((g*g\/(g**(-2\/13)*g)*g*g)\/(g\/(g*g\/(g\/(g**(-2)*g*g)*g))*g)))**(-1\/4) assuming g is positive.\nAnswer: g**(943\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -31713, -0.5, -0.2, 0?\nAnswer: -31713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63 - (22 + -79))\/(-48). Let -f*v**2 + 1\/8 + 0*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34a (base 11) in base 8?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 - -110. What is the third biggest value in d, 1\/3, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2479.659 - 2543. Let t = 49.9895 + c. Let q = -13.3 - t. Round q to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916433 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**7*b)\/((b*b*b*b**(-4\/7)\/b*b)\/b))\/(((b**0\/b)\/b)\/b)**26)**(-11\/5) assuming b is positive.\nAnswer: b**(-6512\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*k = -5*q - 377*k - 377*k + 1132*k + 182, 80 = 20*k for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 + 34328*c - 2045280 = 0?\nAnswer: 60, 8522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - -2.6. What is f rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*z = -7, w - 2*z + 269 = 277 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eethhhhhtehehe?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-10)*(1*24)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 5 + 0 + 0. Let g = o + 0. Suppose 4*l - g = 21. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992548*y = 991367*y + 57869 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 3*y**2\/2 + y - 1523. Give n(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*w - 6, 2*w - 5 = -4*s + 1. Suppose 11*g - 7*g = s. Suppose g = -t - 4*t + 40. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4943 - -3?\nAnswer: 2.5057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 559963. Let s(g) = -g. Calculate i(s(k)).\nAnswer: -2*k + 559963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/28 and 47\/168557176?\nAnswer: 1179900232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1630559ug to milligrams.\nAnswer: 0.0001630559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 544495.3 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12180 divided by 5?\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*f = -q + 1, 5*f = 2*q - 1. Let b be 4 + 2\/q + -55. Let o = b + 74. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/20 + 7474\/10360. Suppose -3*s = m + 2*s + 11, 5 = 2*m + s. What is the third smallest value in 2, 0.2, k, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167\/265 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 17 = 509*w - 514*w, -3*z = -4*w - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, p: 1, v: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugpqhhq. What is prob of sequence qg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0 - 2*l**3 - 2*l + l**3 + 1 - 3*l**2. Suppose 0 = -4*u - 5*j - 27, 6 + 0 = -2*j. Calculate f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 43*x + 14 + 32, -n - 4*n - 2*x = 32 - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b - 27*b + 5*b - 1 + 9. Let o = 3 + -8. Let a(k) = -22*k + 20. Calculate o*a(j) + 12*g(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v + 64. Let t be q(18). Let y = t - -161\/2. What is the closest to 1.7 in -2\/3, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/9)\/(2\/(-12)). Suppose -f*i + 7*i = 12. Calculate the least common multiple of i and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77, -61, -135, -299?\n\"Answer: -45*k**2 + 151*k - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4437.9892 - -4442. Let k = -4 + s. What is k rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + r**2 + r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649365 = 5*c - 4*i, -4*c + 17*i = 22*i - 519451. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1 - 3*c**2 + 0*c + 2*c + 0*c + 0. Let q be j(5). Is 4\/6 - q\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 666775, 1333534, 2000293?\n\"Answer: 666759*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2318166.\nAnswer: 1\/1159083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33\/65 + -4\/13. Let p = -4.96579 + -0.03421. Let c be ((-2)\/(-32))\/(1\/2). Sort p, c, n in descending order.\nAnswer: n, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 8*h + 3. Determine o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + -3*sqrt(2) + 3).\nAnswer: -18 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26654070 is divided by 13327033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 162 = 87 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/3 + 20*n**3\/3 + 9*n**2 - 42*n = 0. What is n?\nAnswer: -3, 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Let i = 8 + -7. Let g be (-12)\/60*i*-3. What is the fourth biggest value in w, 0.1, g, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 16*t**2 + 6. Let s(o) = 2*o**3 + 15*o**2 + 5. Determine 5*d(q) - 6*s(q).\nAnswer: -2*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 972\/((-1296)\/(-36))*(-2)\/(-36)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/290*0*(-2)\/((-4)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:28 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/(-16)*396\/(-216). Are 9 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3372527246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 295*2*2\/5. Let r be (20\/15)\/(4\/6). Suppose j + 4*i = 2*j - 74, -3*j - r*i = -n. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089 is divided by 1945.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 11 - (24 - (21 + -7) - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2809 - 778 = 1859*q + 874 - 6279 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 17. Let c(a) be the third derivative of 3*a**2 + 0*a**3 - 8 + 0*a - 1\/24*a**4. Determine c(g(x)).\nAnswer: -2*x**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = 32*i - 16 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 277433 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 3317?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2731*t - 2808*t + 5538*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 16*y**2 - 23*y - 16. Let w be l(-6). Let z = 538 + w. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(396) + -3 + (sqrt(11)*-2 + 5)**2*5 + -4.\nAnswer: -112*sqrt(11) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-12))\/(2\/(-8)). Determine n so that -5*n**4 + 8*n**4 - 5*n**j - n**2 + 3*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 22*c**2 + 3*c + 2. Let x be k(4). Let n = x - -129. Is n a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5498 or -5500?\nAnswer: -5500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 883993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*a**2 + 188*a**2 + 35*a + 27*a.\nAnswer: -6*a**2 + 62*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 6, 2*k = -3*w + 80 + 168. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362948*j**5 + 2*j**4 - 2*j**3 - 58858*j**2 + 1620.\nAnswer: 21776880*j**2 + 48*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2058, -2090, -2144, -2220?\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 41. Suppose 0 = -g + 2 + 1. Suppose u + t - 11 = g*u, 2*t - 7 = -u. Is n at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 8) to base 13\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/170807871 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*o**2 + 3\/2*o**3 + 0 - 5\/2*o + 1\/4*o**4.\nAnswer: o*(o - 1)*(o + 2)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*((x*(x*x**(1\/2))\/x*x)\/x)\/x)\/(x\/x**(-3\/10)*x*x**(-1)) assuming x is positive.\nAnswer: x**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -5 in descending order.\nAnswer: 5, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11*q + 8*q + 40 = 0, 12 = 2*f - 4*q. Solve 37 + 33 = f*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Suppose -v + 5*u - 16 = 6, -5*u + 28 = v. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 2. Calculate the common denominator of 14\/o + 2 - (-395)\/40 and 89\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:31 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -7274515.\nAnswer: 8\/7274515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24336098, -24336101, -24336104, -24336107, -24336110?\n\"Answer: -3*v - 24336095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.856 and 398.\nAnswer: 386.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let d be n\/(-10) + 74\/90. What is the smallest value in 3\/5, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465155921177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/7 - 6*u**3 - 21*u**2 - 108*u\/7.\nAnswer: -3*u*(u + 1)*(u + 4)*(u + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/77 and -83\/50745464?\nAnswer: 50745464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 6503019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0. Which is greater: -2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4251 = -11*s + 3350. Let o = s - 685. Solve 4*i = 6*i + o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**(-5)*v*v**(4\/7))\/((v\/(v**(-6)*v))\/v**(-2)))**37 assuming v is positive.\nAnswer: v**(-2183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 44 (c) -222 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -49906.\nAnswer: 49904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122698 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: b\"What is the rth term of 192118, 191876, 191634, 191392, 191150?\n\"Answer: -242*r + 192360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1b4?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -44*h - 3. Let u be n(-2). Let o(m) = m**3 + 3*m**2 - 6*m - 6. Let b be o(-4). Let z = b - -32. What is the greatest common factor of u and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5626*d = 49*d + 591162 for d.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m - 1. Calculate g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 905 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 168*l\/5 + 522\/5.\nAnswer: -2*(l - 3)*(l + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 7)*(-3*f + 3*f**3 + 3*f + (-3*f + 3*f + f**2)*(2*f - 4*f + 4*f) + f**3 - f**2 + f**2).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -868 - 7. Let m be (9\/(-4))\/((-21)\/2408). Let n = c + m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose u*j + 1 = 43. Let b(v) = 2*v**3 - 10*v**2 + 14*v - 9. Let w be b(6). Calculate the greatest common factor of w and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139808 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 20*v + 41. Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(sqrt(171) + (sqrt(171) + -4)*-2 + (sqrt(171) - (sqrt(171) - sqrt(171)*-1))*-1))**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 16*d**5 + 1732*d**4 + 2144*d**3 + 428*d**2 = 0.\nAnswer: -107, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 2 + 2*j - 3 + (-3*j + j + 4*j)*(10 - 9 + 7).\nAnswer: 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 920871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195 + 249. What is the highest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -6*m - 170. Find the third derivative of -23*h**4 - 39*h**2 - 22*h**4 - 104*h**2 + m*h**4 wrt h.\nAnswer: -264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1075*t + 82. Is r(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/5 (c) -48 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*b - 31*b - 60 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 223*z**2 + 1.\nAnswer: -223*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.6, -1\/166, -3\/7, 2\/5, -0.2 in decreasing order.\nAnswer: 10.6, 2\/5, -1\/166, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1213368157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:36 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1789839, -1789843, -1789849, -1789857, -1789867, -1789879, -1789893?\nAnswer: -1789909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 3*n**2 - 3*n**2 + 0*n - 3*n to o*n**2 + c*n + w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -26*a**3 - 9*a**2 - 18*a - 9. Let s(z) = 13*z**3 + 4*z**2 + 8*z + 4. Determine 9*s(w) + 4*y(w).\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*z + 12 = 0, 4*c + 2*z = -3*z + 20. Let a(j) = 2*j - 10. Let t be a(8). Let x be (t\/10)\/1 + -1. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*k - 11*k**2 - 23*k + (-11*k**2 - 44*k**2 + 3*k**2)*(3 + 4 - 5).\nAnswer: -115*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**5 + b**5 + 2*b**5 + (2*b**4 + b**4 - 2*b**4)*(-3*b + 7 - 1 - 1) + (2*b**2 - 4*b + 4*b)*(0*b**2 + 0*b**2 - 3*b**3).\nAnswer: -10*b**5 + 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -314 or -208?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 4*z - 2*z + 0*z + 6*z**2 to the form m*z**2 + d + r*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4071377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6923 and 483?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/3)*1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 7*d + 48. Put d, 2\/3, -6\/7 in ascending order.\nAnswer: -6\/7, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2514425 is divided by 279379?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215 = 31*r + 223. Suppose 799 = 33*t - r*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51607\/5 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 e when four letters picked without replacement from {t: 11, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.15*0.4.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -6) + 18 + (-38 - -11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -347 - -522. Let m = q + -168. Solve 5*b - 25 = 0, -m*o + 4*o + b + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-14)\/(1\/(5\/20)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1285 + -1284.99998885. Round f to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -20\/1060413?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -48*r. Let y(q) be the third derivative of -q**4\/12 + 2*q**2 + 21*q. Calculate y(t(l)).\nAnswer: 96*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millennium in decades?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662069 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 379058 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 0, 2*d - 6 = 2*n + 2*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50250210 divided by 6.\nAnswer: 8375035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + k = -0 + 5, 2*s = -5*k - 21. Let v(c) = c**s - 8*c - 1 + 0*c + 3*c**2 + 5*c. Is v(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 532 - 111*f**4 + 30*f**4 + 26*f**2 - 176 - 2*f - 175 - 183 to the form c + a*f + v*f**4 + r*f**3 + q*f**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:00 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -59297.37369 to the nearest integer.\nAnswer: -59297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*q**4 - 43*q**4 - 7*q + q**3 + q**2 - 3*q**3 - q as j*q + v*q**4 + n*q**2 + y + b*q**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2 = -w + 3*w, -t = 5*w - 23 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9531 + 20141. Let r = c - 191045\/18. Calculate the common denominator of 3 - (35\/(-21))\/((-16)\/57) and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k - 31 = 115 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20374, -41278, -62182, -83086, -103990, -124894?\n\"Answer: -20904*q + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let j(c) = 4*c**2 + 5*c + 2. Let n(u) = 6*d(u) + j(u). What is the units digit of n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 12 + 73 + 3 + 53.\nAnswer: -3*d**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 5*l - 57*l - 2 + 59*l.\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.36 to zero dps.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 13 + 48. Let o = 16 + p. Let t = 44 + o. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n\/(n**(2\/27)\/n))))\/n**1*(n\/n**(2\/3))\/((n*n\/(n\/((n**(1\/3)*n)\/n*n))*n)\/n)*(n**6*n**(-8))**(-26) assuming n is positive.\nAnswer: n**(1402\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4\/7 + 192*k**3\/7 + 2874*k**2\/7 - 6336*k\/7 + 3267\/7 = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 less than 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 6*p**2 + 5*p + 5. Let a be c(-4). Let o = -460\/27 + a. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 + 0*r - 2*r**3 + 6*r + r - r + 47.\nAnswer: -2*r**3 - 39*r**2 + 6*r + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 19*i**2 + 8*i - 67. Is n(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 9. Let c be i*2 - (-280 - 4). What is the highest common factor of c and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - a = -7. Let q(r) = -3*r. Let t be q(a). Is -5\/2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3213 - 1?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15 - -3) + 4\/2)\/(0 + 2). Let u = -9.5 - -10. Put g, 23, u, 2\/5 in ascending order.\nAnswer: g, 2\/5, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 12*o - 12. Let v be q(12). Let z be 9*((-20)\/v + -2). List the prime factors of (-115)\/z + (-5)\/15.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 + 7*o**2 - 68*o + 35. Determine u(8).\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659102398 is divided by 418?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5960 - 5959. Put 4, t, 31, -3 in decreasing order.\nAnswer: 31, 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9813*u**4 + 2*u**2 - u - 1594 wrt u.\nAnswer: -235512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 7. Determine h(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 243*v - 20159. Calculate k(83).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d**2 + 22*d**2 + 7*d**3 - 11*d**2)*(0 - 3 - 1) to i*d**2 + p + y*d**3 + u*d and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/7 and -41\/94.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/4 in -15, -0.6, -1\/42, 5\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 172 = d, -5*v - d - 2*d = 166. Let g = 28 + v. List the prime factors of 2\/g - (-120)\/28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360344 a multiple of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -3 (b) -4\/13 (c) 0.4 (d) 2\/7 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150159095, -150159086, -150159061, -150159014, -150158939, -150158830, -150158681, -150158486?\nAnswer: -150158239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1476812 and 61856?\nAnswer: 11814496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -69*x**2. Let l(a) = -a - 20. Let t(v) = v + 120. Let q(c) = -6*l(c) - t(c). Give w(q(f)).\nAnswer: -1725*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:16 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = 9441 - 9815 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6362 - -6384. What is the highest common factor of 2816 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**3 + 2115*h**2 - 161350*h + 314280 = 0.\nAnswer: 2, 97, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6495, -25512, -57049, -101106, -157683, -226780, -308397?\n\"Answer: -6260*p**2 - 237*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.116 - 0.726. Let s = m + 0.74. Let g = s + -0.03. Is -0.5 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 7*l - 2. Let t(p) = -18*p**2 - 43*p + 14. Determine 13*b(k) + 2*t(k).\nAnswer: 3*k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1029200789?\nAnswer: 3087602367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88332490*q**2 - 24177*q + 486.\nAnswer: -176664980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4894.53 - 138849.\nAnswer: -133954.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeleeeel. Give prob of picking 3 e.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, u: 3, f: 1, a: 1}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9324 divided by 777?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjdddddwdjjdd. Give prob of sequence wd.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1388 and (14145\/(-828))\/((-30)\/1).\nAnswer: 24984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 1. Let d be n(-1). Let p = 5 - d. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t + t + 2*t + (-1 - 3 + 5)*(2 - 2 - 2*t) + 2*t - 3*t + 0*t + t + 0*t + 3*t + (2 + 1 - 2)*(-t - 4*t + 4*t) + (-2 + 2 - 1)*(-3*t + 3*t - 2*t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5711.3397 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 22*a = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(4\/(-18)). Let t(n) = -n + 1. Let s be t(k). Suppose -s*x + 121 = -595. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.1333 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 1.2. Which is smaller: j or 4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 8 - 6977*k**2 + 147*k + 160*k + 4 + 6970*k**2 + 6 to j*k + l*k**3 + u*k**2 + p and give j.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 20*m - 524. Calculate the remainder when y(-37) is divided by 728\/20 - 18\/(-30).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, -15, -42, -5, 2 in decreasing order.\nAnswer: 255, 2, -5, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 6, -7 in decreasing order.\nAnswer: 6, -7, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148 + -146. Suppose -a*i + 3*i = 5*j + 34, j - 134 = -3*i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1231\nAnswer: 123.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/24 - 22*u**2. Let q(m) = -7*m. Let c = 5 + -8. What is c*q(o) + 24*w(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 less than -283\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -599560*h*l*s - h*s + 45*h - l*s + 3*s + 43 wrt l.\nAnswer: -599560*h*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13935185*z**5 - 19 + 39*z - 13930367*z**5 + 165*z wrt z.\nAnswer: 96360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -88, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) -1 (c) -16 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101 (base 2) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*l + 826025 = -79872 - 213253. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3589 and 30167?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 5 in descending order.\nAnswer: 7, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*d + 0)*(-d**4 + 0*d**4 + 2*d**4) + (d**4 - 5*d**4 + 2*d**4)*(-d + 2*d + 0*d) + (7*d**5 + 78*d**2 - 78*d**2)*(-4 - 3 + 5).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*z + 228*z = -5*p + 100, p - 20 = -3*z. Calculate the remainder when 313 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 90.56725 centuries?\nAnswer: 108680.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447721361.\nAnswer: 41, 1259, 47419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 361425481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 6)*(-4*v**3 + 5*v**3 + 6*v**3) + 5*v**3 + 5*v**3 + 6*v**3 to a*v + i*v**3 + w*v**2 + n and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*q**2 + 180*q**2 - 6 - 86*q**2 in the form z*q**2 + o + s*q and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*3*sqrt(153) - sqrt(153))\/(-3*(sqrt(54)\/sqrt(6) + sqrt(9))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(8\/11)*m)\/m*m**(2\/17) assuming m is positive.\nAnswer: m**(532\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k\/(k*k**(1\/11))*k)\/(k\/k**0)**(25\/4))**(13\/5) assuming k is positive.\nAnswer: k**(-611\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11077 - 11383 = -3*w. Let j(l) = 2*l**2 + 11*l + 22. Let x be j(-9). Calculate the greatest common divisor of x and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5 = 5*w - 0*o, 0 = -3*w + o - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 32*q - 15*q - 19*q. Let r be y(-1). Factor -2\/5 - 2\/5*k**r - 4\/5*k.\nAnswer: -2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/5 + 4*v**3\/5 + 26*v**2\/5 + 4*v = 0?\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 divided by -6?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 - 10 = 0. Let n = 31 - h. Solve g - 6*g - 24 = -y, -4*g = -2*y + n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + 4 - 1 + 11*s**2 - 3435*s**3 - 3.\nAnswer: -3435*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 425*r**2 + 865*r - 435.\nAnswer: -5*(r - 1)**2*(r + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941673177.\nAnswer: 3, 104630353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, t: 6, w: 8}. What is prob of picking 2 t and 1 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t + 14*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 1662?\nAnswer: 14958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1340 + -1336. Put f, -13, 1 in decreasing order.\nAnswer: f, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 497 + 262 = 3*a, 2*a = -10. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(5*sqrt(448)*-2*6 - -3*(-2 + -4 + sqrt(448))).\nAnswer: 89 + 2280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 14 = -135 - 29 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*g - 361*g - 337*g - 343*g + 1398*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 34*u - 787. Let v(q) = -28*q + 786. Calculate 4*g(r) + 5*v(r).\nAnswer: -4*r + 782","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1232, 4908, 11036, 19616, 30648, 44132, 60068?\nAnswer: 78456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -46841?\nAnswer: 1\/46841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**8\/2184 + 2*j**7\/1365 - 8*j**2. Factor h(r).\nAnswer: -2*r**4*(r - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13491996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/11 or -47362470?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8*u**4 - 8117*u**3 - 25*u**2 - 8106*u**3 + 16225*u**3 - u as v*u**4 + j + n*u**2 + l*u**3 + s*u and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142129*b**3*i**2 - 86357*b**2*i**2 + 4*b**2 wrt b?\nAnswer: 852774*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1600765, -1600767, -1600771, -1600777, -1600785, -1600795?\nAnswer: -1600807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(2448))*2)**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134.657 - 0.343. Let r = 133 + t. Which is the biggest value? (a) 3\/4 (b) r (c) -9 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + -4ca808?\nAnswer: -4ca825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64858\/47 + -1380. Which is the third biggest value? (a) -0.3 (b) k (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 35840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -536098.\nAnswer: 13\/536098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:22 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, n: 5}. What is prob of sequence innn?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33112.0989 rounded to the nearest integer?\nAnswer: -33112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1\/7 (c) 0 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-13 + 14 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 526.33584 microseconds?\nAnswer: 0.00000000609185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -167*l**3 + 1184*l**2 - 130*l - 1. Calculate r(7).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21868191 to the power of 1\/2, to the nearest integer?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4732 - 4713. Let t = 104 - -143. What is the highest common factor of w and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 226, 311, 396, 481?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400413132 (base 5) in base 10?\nAnswer: 1576042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*24*(-540)\/19872\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -17 + 4 - -24 - 34?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - 58818*g**5 + 1131*g**3 + 4*g**2 - 58686716*g wrt g.\nAnswer: 240*g**3 - 3529080*g**2 + 6786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p - 10. Let d be h(-5). Is 14 a factor of (((-4)\/6)\/(-2))\/(d\/(-3975))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 + 21243*v**2 + 31521336*v + 13355669724 = 0.\nAnswer: -5237, -922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/u**(2\/7)*u)\/u)\/u)\/u)**(-21)\/(u**6\/(u\/u**(2\/13))))\/(((u*u\/u**2)\/u)\/((u\/u**(-4))\/u))**(-1\/13) assuming u is positive.\nAnswer: u**(279\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4151952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6291 divided by 2158\nAnswer: 6291\/2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b - 15. Let h(n) = n**2 + 7*n + 11. Let k be h(-5). Let s be 1 - k\/(2 + -1). What is u(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 9*o - 2706 = 0. Suppose -o = 3*b - 4722. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20900 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2750, 7646, 12542?\nAnswer: 17438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(152)*-1*-6)\/sqrt(8))**2 - ((sqrt(228) + (-3*sqrt(228) - sqrt(228)))\/sqrt(12) + 0 + sqrt(19) + 0)).\nAnswer: 6*sqrt(19) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*y + 139*y - 420 = -3*p, -3*p = -4*y + 396. What is the lowest common multiple of y and 144?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 3*v + v**3 + 97 + 24 to p*v**3 + d + m*v + h*v**2 and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -479667782582?\nAnswer: 479667782580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q + 10*q + 24*q - 91*q + 20*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168)*-1 - sqrt(3168))*2)\/(sqrt(1100) - (sqrt(1100) + -4*sqrt(1100)*3)) + -5.\nAnswer: -5 - 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -5, 5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5167, 5098, 4871, 4408, 3631?\n\"Answer: -13*a**3 - a**2 + 25*a + 5156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaafaa. What is prob of picking 3 a and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1627618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/18 and -61\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*d - 425, -4*z - 97 + 3 = -d. Let s = d + -53. Suppose 7 = y - s. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 51*k - 62. Let c(o) = -75*o + 93. Calculate -5*c(i) - 7*v(i).\nAnswer: 18*i - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130880 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1255114 - 5522?\nAnswer: 1245152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 2) in base 16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13960 and -1.\nAnswer: 13960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106255426 + -1?\nAnswer: 106255425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 37 - (-151 - (-112 - 26))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 66 = -2*d. Let t = -1 - -3. Suppose t*w = 2 + d. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5 + (-3603)\/(-30). Let g = 2625\/22 - c. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - o - 3 - 5 = 0, 2*o - 26 = -5*j. Let m(b) = 2*b - 3 + 0 + 2. Does 8 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 16 = -5*z, z - a = 3*a - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5.2. Let t = 7 - 6. Let d = y - t. Which is the smallest value? (a) -1\/8 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 19\/16. Let j(v) be the second derivative of 1\/16*v**5 + v - 1\/120*v**6 - 1\/4*v**2 - q*v**4 + 0 + 7\/24*v**3. Determine h so that j(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -403363 + 5?\nAnswer: -403358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygbygyybgg. Give prob of sequence bg.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-5 - 7 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6630925 minus 0.92009?\nAnswer: 6630924.07991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teeupfm. What is prob of picking 1 u, 1 t, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/3 in -29, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 i when three letters picked without replacement from zdioziiioobiooidoi?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in -0.3, 2\/53, -5\/4, -1, 0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 19*x**2 + 3. Let g be v(-19). Solve 0 = -2*k - g*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 = -15, 0 = 4*k + 2*c - 2216. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 4*i**4 + 8*i**4)*(420*i - 51*i - 92*i) + (i**2 - i**2 + i**2)*(3*i**2 - 1 + 2*i**3 - i**2 + 0).\nAnswer: 833*i**5 + 2*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 6*y - 220 + 315 - 587 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 129464.981 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*((-355)\/(-426))\/(85\/(-4216)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z**2 - 82 + 8*z**2 - 48*z**2 + z**3 + 10*z**2 + 14*z**2 + z**4 in the form w*z + h*z**4 + t + j*z**2 + g*z**3 and give t.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -cea9 (base 15) in base 13?\nAnswer: -16c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -1\/4 (c) 31\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*x**3 + 1420*x**2 - 13495*x + 9900 = 0. What is x?\nAnswer: 4\/5, 11, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4502470 + -24?\nAnswer: -4502504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:09 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 505.08 in -0.2, 0.05, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 20*q - 23*q, -p - q = 3. Solve v + 3*v + 16 = p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9*g = -198. Let i(s) = -s**3 - 19*s**2 - 18*s + 5. Let h be i(g). Solve -l + n = 2*n - 5, -h = -l - 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/5 - 4656*y\/5 - 2709792\/5 = 0.\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 6. Let m = -8 - h. What is the nearest to -1 in m, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*u**2 + 154*u**2 - 3*u + 3*u.\nAnswer: 234*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 477\/(-18)*9516\/(-42029)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 41003924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnneeeenneen. Give prob of picking 3 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-3*(-3*sqrt(175) + sqrt(175)) + 0 + sqrt(175) + -2*sqrt(175)) + -3.\nAnswer: -450*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -1\/6, -0.05 in decreasing order.\nAnswer: 11, 2, -0.05, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -163211818 - 28793\nAnswer: -163240611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 205 = -0*o. Suppose 2*u - 66 = -h, -4*h + 23 = u + 4. Suppose 3*d + k - 63 = 0, 4*k + 98 = 3*d + u. What is the remainder when o is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(175) + -2 + sqrt(175))*6 + sqrt(175))*-2 + (1 + sqrt(175)*-3)*-1)*-6)**2.\nAnswer: -190440*sqrt(7) + 3351744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654312707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 8. Calculate c(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 + 199. Let a = h + -24. Let k = 78 - a. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5)\/(0 - 1\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8596*q + 3 - 11234*q - 3 in the form t*q + f and give t.\nAnswer: -2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(3\/5)*o)\/(o\/(o*o*o\/o**(1\/12)*o))*((o\/(o**17\/o))\/o*o)**(2\/49) assuming o is positive.\nAnswer: o**(17359\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 243, 270, 297?\n\"Answer: 27*v + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3351*p**5 + 1680*p**2 wrt p.\nAnswer: 201060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7055 and 1400625?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3515, 29013, 98207, 232943, 455067, 786425?\n\"Answer: 3641*b**3 + 2*b**2 + 5*b - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + k. Let g(t) = -72*t**2 - 2*t. Give g(w) + 2*h(w).\nAnswer: -2*w**3 - 72*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 490*m + 57 - 28.\nAnswer: -490*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189878 or 1908?\nAnswer: 1908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 31*h**2 - 212 + 1171.\nAnswer: -52*h**2 + 959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 290611737 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(11\/(-3) + 3). Let y(t) be the first derivative of -t**3\/3 - 2*t**2 + 5*t - 2. Calculate the remainder when 9 is divided by y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.555645ml to litres.\nAnswer: 0.001555645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75884.88um in kilometers?\nAnswer: 0.00007588488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, -0.5, 0, -0.019107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 115 (c) 0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2. Let d(m) be the second derivative of -1\/2*m**2 - 1\/6*m**3 - m + 0. Suppose 0*i + 2*i + 4 = 0. What is i*d(u) + 2*n(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, -13\/18, 4?\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4625 - -4212300?\nAnswer: 4204342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:14 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 g when three letters picked without replacement from bsmmmmoogbo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-2)\/(-4) - -8. Sort 11, a, 3 in descending order.\nAnswer: 11, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34594\/14826*(-981)\/(-21)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 - 52 = 75*s - 228*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*r + 19 = 0, -x + 4*r = -13 - 5. Let h = -0.0028 + -0.0472. Put x, h, -3, 10 in descending order.\nAnswer: 10, h, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f = -20*f - 3173 + 684 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 340. Let d be p(-38). Suppose 58589 = d*z + 10925. What are the prime factors of z?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y - 432 - 846 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204669452 is divided by 12791840.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143594776 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 tenth root of 451406394 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/2 + -45. Which is the closest to z? (a) -6\/5 (b) -1\/7 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/(-4) + 2)*28\/(-63). Let o(p) = -p**3 + p**2 - 2*p + 2. Let t(i) = -4*i**3 + 4*i**2 - 8*i + 9. Determine x*t(f) - 9*o(f).\nAnswer: f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 9*b**2 - 6*b + 1. Let a be f(-8). Let r be 1\/(1\/(-62))*a. Let h = 1303 - r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - 28 - (8 + -12 + 8 - (-32 - -9))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.93*-4.\nAnswer: 11.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/10)\/(8\/(-40)). Suppose -3*p - z - 4 = 0, 0 = 4*p - 4*z - 18 + 2. Solve n - v = -p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973, 3924, 5873, 7820?\nAnswer: 9765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 3\/2*b**2 + b**3 - 6*b + 1. Factor l(u).\nAnswer: 3*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k - 2*k)*((-2 + 0 + 4)*(0 - 3 + 1) + 1 + 2 - 6 + 4 + 4 - 11) in the form m*k + o and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1053) + -3) + 1)*-2.\nAnswer: -20 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*f**3 - 85*f**2 + 85*f**2 - f**3 - f**3 + 5*f**3 + (f**2 + f**2 - 4*f**2)*(1 + 2*f - 1) + 0 + 0 - 2*f**3 + (2*f**2 + 5*f**2 - 5*f**2)*(0 + 2*f + 0).\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 11644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459142.8 kilograms in grams?\nAnswer: 459142800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 11:30 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176876.\nAnswer: 2, 7, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20681 is divided by 10251?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*l + 341 = -108*l - 239 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 70*u + 75 - 151 - 137*u.\nAnswer: -207*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:43 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -18*m - 29. Let r(w) = 7*w + 15. Let d(z) = 4*h(z) + 10*r(z). Suppose 3*y - 117 - 120 = 0. What is the remainder when y is divided by d(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-5) + (-1)\/1. Let o = c - -11. Suppose l - 3*t - 55 = 0, -l + o*t = -5*l + 150. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/5 + 9\/10. Let n = -0.14 - 0.16. Put 2\/5, n, b in descending order.\nAnswer: 2\/5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -60, 0 in ascending order.\nAnswer: -60, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h**2 + 8. Let s(v) = 7*v**2 + 3. Let g(r) = 8*s(r) - 3*w(r). Let u(x) be the first derivative of 3*x**2 + 3. What is u(g(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.9 in -2\/5, 2\/5, -0.049, 26, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831516 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: Let k(z) = -75*z**3 + z + 39. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 8*s + 4. Let y be c(-9). Let k = 38 + y. What is the common denominator of (-63)\/(-6)*(-2)\/k and -25\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3137\/4 + 784. Sort k, -3\/8, -5, -92.\nAnswer: -92, -5, -3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1035849?\nAnswer: 5\/1035849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 9*g + 5. Let v be x(5). Suppose v = -3*h + 9 - 0. Solve -2 = h*f - 2*q, -4*q + 10 = -0*f - 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121 and 22.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + 0*o)*(o - 5*o + o) - 6*o**2 + o**2 + 3*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z + 19*z - 31*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13*r + 3. Let k(c) = -7*c - 2. Let z = 622 + -625. Calculate z*m(p) - 5*k(p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 34*w**5\/5 + 31*w**4\/4 + 265*w**2\/2 + 3037. What is the second derivative of h(g) wrt g?\nAnswer: 408*g**2 + 186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 24206?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/1)\/(8\/8). Calculate the remainder when (6*8\/6)\/s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (244\/(-16))\/((-1)\/4). Let y(q) = -c - q + 61. Let u(s) = -s + 0*s + 2*s. Determine u(y(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - 2*y + 3. Let r be p(1). Let g be 2\/(2*r\/(-79700000)). Round g to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*u - 56, 3*n + 5*u + 84 = -0*u. Let h be (-931)\/105 - -9 - n\/15. Solve h*j - 8 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) - (-1*sqrt(1331)*-2 - sqrt(1331)) - (3 + 2 + sqrt(1331)).\nAnswer: -11*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 10*n**2 + 4*n - 14. Calculate the lowest common multiple of 14 and y(10).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0*t - 2*t - 7*t + 2 - t. Is w(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.78 + 0.08. Let g = 0.7 + f. Let p = 0.1 + -2.1. Is g >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17724998276 + 17724998587.99999787. Let n = 276 - 588. Let o = n + p. What is o rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2 - (-4 + 4)) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 6*w**2 + 7*w + 2. Let l be m(7). Let a(v) = 7*v**3 - v**2 - v. Calculate the remainder when a(l) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(57)\/sqrt(3) + -4 - (2 + sqrt(57)\/sqrt(3)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 130. Which is smaller: 12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.389 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 6*i - 57, -17*i + 9*s = -85*i + 6*s + 491 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obpn when four letters picked without replacement from {b: 2, o: 1, p: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 362\/6 - (-2)\/3. Suppose -j + 251 = -5*x. Let s = 69 + x. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 7:30 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(2\/21)*z))**(-1\/33)\/(z**(-3))**(-1\/57))**(-1\/10) assuming z is positive.\nAnswer: z**(131\/26334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*x = 6, -3*r + 13 = 2*x - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34496.52 litres?\nAnswer: 34496520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.334 + -29.634. What is the closest to 0.2 in 50, -4, p, 20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (3 - (0 - 4 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 - 2 + 0 + 27*u - 8. Let a be (9\/6)\/((-6)\/(-32)). Is z(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2224528366, 2224528367, 2224528368?\nAnswer: 2224528369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. Suppose 3*p = -p - 4*r + 36, -c*r = 2*p - 24. What is the units digit of (2 - p)\/(2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14070075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from szzgsrgszg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 291\/881 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let i = 10 + 2. Let r be (-5)\/(-15) - (-2)\/i. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11353\/2 + 5635. Let t(m) = m**2 - 5*m - 6. What is the common denominator of y and t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**5\/5 + 11*i**4 - 52*i**3 + 90*i**2 + 524. Let c(p) = 0. Calculate p.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.19, -4\/5, 273, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1 + 6\/(-4)). Let f(b) be the second derivative of -b**4\/24 + b**3\/2 + b**2\/2 - 5*b. Let m(a) be the first derivative of f(a). Determine m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25 and 400725186081?\nAnswer: 400725186056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 3490*d**2 + 3492*d = 0. Calculate d.\nAnswer: -1746, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 954 + 2281*c - 954 to l + i*c and give i.\nAnswer: 2281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**7\/252 + t**6\/60 - t**5\/40 + t**4\/72 - 35*t. What is s in w(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + (0 + sqrt(3))*-5)*6)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795494?\nAnswer: 2, 89, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:10 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00115291 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512815 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, 68, 212, 402, 638?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -h + 5*k, 148 = h + h - 3*k. Let t = 95 - h. Find the third derivative of 19*g**2 - 22*g**5 - t*g**5 + 9*g**5 wrt g.\nAnswer: -1860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((3\/10)\/((-156)\/(-260)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 3*s**3 - 4*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 55. Is 11 a factor of (-84)\/14*s\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*c - 3*c. Suppose -28 + 2 = c*z. Let l be (-4)\/(-10) + z\/(-5). Solve -4*x + 3*f + 12 = 0, 3*x - 2*f = -l*f - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, d: 6}. Give prob of sequence dhd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/11 and 333\/(-255) - -1*(-6)\/15.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118 + 4\/(-12)*1*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*(t**(1\/2)\/t)\/t))*t\/(t\/(t\/(t\/t**20))*t)*t)**14 assuming t is positive.\nAnswer: t**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-6) + (-2 + 2 - 0). Let p be ((-3)\/(-4))\/(3\/(-12)). Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - a + 3*a - 3*a + 5*a - 3*a + (-4 + 2 + 1)*(-2*a + 4*a - a) + 2*a + a - 2*a)*(-2*a**3 + 6*a**3 - 2*a**3 + a**4).\nAnswer: -3*a**5 - 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -1 (c) -9\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*x**2 + 7*x**2 - 1.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and 19.98.\nAnswer: 32.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 + -98. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 51*j**2 + 4*j + 11. Let x be m(-2). Let w(a) = -43*a + 18. Let z be w(-3). Let l = x - z. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1789862323 and 782.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 3*b**2 + 8*b**2 - 6*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -9*c**4\/4 + 4*c + 4. Differentiate k(u) wrt u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 200 = 4*s. Suppose 5*k + 24*v - 23*v - 468 = 0, -5*k + 2*v = -474. Calculate the remainder when k is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-4) + 1 + -4. Solve a = -5*b + 3*p + 10, 0 = 2*b - 2*p - 0*p - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(60)\/(sqrt(36)\/sqrt(6)))\/((sqrt(15) + 2*sqrt(15))\/sqrt(3)) + -4)**2.\nAnswer: -16*sqrt(2)\/3 + 152\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/17 - 70138*g\/17 - 10753820\/17.\nAnswer: -2*(g + 154)*(g + 34915)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((9\/76)\/(-3)). Let u be n\/(-20) - (-1)\/5. Let t be (2\/(-20))\/((-1)\/u). Put -1, 5, t in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1827*s + 1852*s + 475 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:22 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 707996 = -2*h, -9*h - 4*z = -6*h + 1061984. Round h to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (13 - 15 - (-3 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19098762 divided by 9483.\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 4. Let h be f(-2). Solve 0 = 5*t - h*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 2. Let c(q) = 15*q - 6. Let w(z) = c(z) + 3*f(z). Let b(j) = -j**2. Give b(w(v)).\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7915 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.735 and -18658.6.\nAnswer: -18657.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + a = -5306, 5*a = 5*c - 8850. Suppose 2*k - 3*m - 3557 = -2*k, c = 2*k + 2*m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237496621*q**2 - 237496620*q**2 - 1 + 1.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-19)*o**(-8\/3)\/o)\/(o**(-6\/17)*o**(-13)) assuming o is positive.\nAnswer: o**(-475\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.2, -0.03, 1, -0.3?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3954*a + 51430. Determine t(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-10))\/((-6537)\/(-32685))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = -j. Let b = j + 11. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233332031 (base 4) to base 12\nAnswer: 1a14b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 322 = -2*j + 2*q, 805 = 5*j - 3*q. Suppose -4*a = -j - 619. Calculate the highest common divisor of a and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/42*-6 + (-42794)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose x = -9*f + 4*f + 10. Let g(q) = q - 4*q + 2*q + f*q. Let m(l) = -2*l. Give m(g(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -480*z - 450. Let n be p(-1). What is the greatest common factor of 1410 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*z - 14739934 = 0, -l + 6*z = 4*z - 4913318. Let s = 2963308 - l. Round s to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -23*q**2 + 429*q. Let b(i) = 2*i. Calculate b(j(r)).\nAnswer: -46*r**2 + 858*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151991009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4\/3 (c) 1 (d) -1.24 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -236 + 389 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3047)\/(-66) - (-2)\/(-12). Let q(a) = 4*a**2 + 4*a - 2. Let o be q(-4). Is p at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729*q = -735*q - 36. Let z(d) = d**3 + 9*d**2 - 2*d + 15. Does 37 divide z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -332807, -2, 3, -3, 4.\nAnswer: -332807, -3, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, -5, -3\/61, -0.1, 3.7, -2\/1185?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(1440) - -2*sqrt(1440)))\/(sqrt(10) - sqrt(30)\/sqrt(3)*6 - sqrt(100)\/sqrt(90)).\nAnswer: -sqrt(5)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 3*b - 2. Let f be o(-2). Find the second derivative of -r - 3*r**2 + 2*r + f*r + r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 3*q)*(-104242 + 104242 - 322*q**3) + (3*q**4 - q**4 + 0*q**4)*(-4 + 6 - 1) as g*q**3 + m + k*q + o*q**4 + d*q**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965 divided by -690?\nAnswer: -131\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23635948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -190900 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18667590 to the nearest integer?\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4813 + -2788. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (sqrt(2688)*-2 - (sqrt(252)*-2)\/sqrt(6))\/(-5*(-5*sqrt(24)\/sqrt(4) + sqrt(6)))))**2.\nAnswer: 21*sqrt(7)\/5 + 1243\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -468410*p + 26. Let j be f(-3). Suppose m = 6185256 - j. Round m to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/100)\/(10*7\/(-2)). Let m(l) be the third derivative of 0*l + q*l**5 + 0 + 0*l**3 - 1\/56*l**4 - 28*l**2. Find s such that m(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19\/479, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-712)\/(-1246))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002536218711 to 6 dps.\nAnswer: -0.002536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 8*t**2 - 35*t + 101. What is the remainder when 243 is divided by l(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 48. What are the prime factors of (1 + -162)*d\/42?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40758.3 - 40758.6. Let x be 5*1*2\/(-55). Let p = 58 + -119\/2. What is the closest to x in d, p, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72973\/6006 + -135\/11. Calculate the common denominator of -139\/5460 and f.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493561?\nAnswer: 17, 29033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 20.88. Let t = 0.123 + s. Let i = t + 5.797. Round i to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.73 - 10.73. What is the third smallest value in 5\/3, w, 1\/13?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 + 239390*c\/3 - 9335872\/9.\nAnswer: -2*(c - 359072)*(c - 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -405432 (base 7) in base 4?\nAnswer: -100320222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 1\/336*w**8 + 0*w**5 + 0*w**7 + 0*w**3 + 0*w**4 + 0 - w**2 + 0*w + 0*w**6. Factor v(f).\nAnswer: f**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -0.2, 2.7, 412?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(441) - 1*sqrt(441))*-3 - sqrt(441))\/sqrt(9))\/((-2*sqrt(8064))\/sqrt(8)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467757 is divided by 20336?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -7. Let t = 12 + v. Let n = t + 1. Solve -3*o + 5 = -n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 10) to base 15\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**2 - 77*f + 4788. List the prime factors of n(69).\nAnswer: 2, 3, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 28*i**2 + 33*i + 49. What is the hundreds digit of l(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l*(l**(-4)\/l)\/l)**19 assuming l is positive.\nAnswer: l**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 4*b - 87. Let t = 109 - b. Find the first derivative of -37*v**4 + 62*v**t - 4 - 28 wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = m - 4*o, -310*m = -313*m - 4*o + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*c = -12, -2*c + c - 1 = -2*x. Find the third derivative of h**2 + 0*h**4 + 2*h**4 - 2*h**x wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*w + 25, z + 119 = 3*w + 84 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.46 + -0.00831.\nAnswer: -1.46831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167 (base 11) to base 5.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -20, m + m = -4*a + 22. Let q(o) = m*o**2 - 9*o + 4*o**2 + 9*o. Let w(y) = -2*y + 6. Let g(p) = 1. Let b(v) = 6*g(v) - w(v). Determine b(q(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 4*v. Suppose -14 = -3*n - 4*p, -2*p = -v + 2. Suppose -3*s - 5 = -0*f + f, 0 = -3*s - n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 less than -0.09498001?\nAnswer: -28.09498001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*z**3 + 329*z**2 + 586*z - 56.\nAnswer: (z + 2)*(z + 28)*(11*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8*(-2)\/8 - -1)\/(3\/20). What is the highest common factor of 13500 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 4*y - 1. Let h be m(-2). Suppose -g = u - 5*g - 32, 0 = 2*u + 2*g - 104. Let c = u + h. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 0, 9, 32, 75, 144?\n\"Answer: y**3 - 2*y**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12829387*o**3 + 4685*o**2 - 2416 wrt o?\nAnswer: -76976322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 15*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 657, 679, 699, 717, 733, 747, 759?\n\"Answer: -b**2 + 25*b + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 3. Let c be n(-5). Suppose -2*d + 12 = -4*r, 5 = d + 2*r + 3. Suppose d*u - 177 = -113. Solve -2*m = 3*m + c*s - u, 0 = -5*m + 4*s - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (146 - 182) + (69 - 18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7141431?\nAnswer: 3, 11, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21982 + -21988. Let j = -4.01 - -4. What is the smallest value in 2\/3, 2\/9, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q**2 + 117*q**2 - 2 - 213*q**2 + 2.\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2)\/s)\/(s*s**(-6)*s))**(17\/4))**8 assuming s is positive.\nAnswer: s**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 2 u when four letters picked without replacement from {q: 2, u: 3, e: 1, a: 1, s: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19695 and 24846.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -38. Suppose -4 = -q - 4*w, 2*q - 2*w + s*w - 11 = 0. Calculate the lowest common multiple of 44 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -84. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 9*k - 9. Let z be o(-8). Let b be (-2 + 209)*-1*z. Suppose 0*h + b = 3*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + -6*(sqrt(28) + 0) - (-3*((sqrt(1008) - sqrt(1008)*-2) + sqrt(1008)) + 4)))**2.\nAnswer: -528*sqrt(7) + 121972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, -1, 2\/3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*g**3 - g**2 + 182*g**4 - 4572*g + 6 - 183*g**4 + 4574*g to r*g**2 + p*g**4 + x*g**3 + j*g + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 685, 106, -867, -2240, -4019?\n\"Answer: -z**3 - 191*z**2 + z + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175))**2 - (sqrt(7) + -1*1*sqrt(7))**2 - (1 + sqrt(175) - ((sqrt(63)*-1)**2 - sqrt(7))).\nAnswer: -6*sqrt(7) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -9*p + 16. Suppose p*o + o - 36 = 0. Let j(d) = d**2 - 6*d + 5. Calculate j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*f = -932 + 150, -a = 4*f - 191. Calculate the least common multiple of a and 65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/10)\/(5\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -80*j**3 + 20*j**2 - 3*j + 10. Let m(i) = -i**3 - 1. Let t(w) = 3*m(w) - u(w). Is t(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179423 or 179422?\nAnswer: 179422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 - 307*c + 206*c as s + w*c and give w.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d + add?\nAnswer: a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 8) in base 7?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 n, and 1 u when four letters picked without replacement from {i: 1, n: 3, r: 1, u: 1, q: 2, v: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 276917 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (4 + sqrt(19))**2.\nAnswer: 8*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/403?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 12*n**2 + 31*n + 13. What is o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l**2 + 40*l**3 + 56*l**2.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210112010 + -10?\nAnswer: -1210112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51460987, -51460988, -51460989, -51460990, -51460991?\nAnswer: -51460992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 23 = 2*v, 3*v - v = 4*z + 12. Let u(c) = -3*c - 3. Let r be u(v). Suppose b = 29 - r. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*i**3 - 36 - 40 - 24*i**3 + 78 - 21*i**3 + 616*i**2 to h*i + y*i**3 + l*i**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j - 272. Let i be u(-25). Suppose 3*p = -3*r + 1803, -i*p - 10 = -5*p. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2501 = u, -4*u = -5*g + u + 2505. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1018*v + 141493. Determine t(-139).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.58 - 2.58. Sort 0.5, 0.7, p in increasing order.\nAnswer: 0.5, 0.7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15831.8 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 569, 1136, 1705, 2276, 2849, 3424, 4001?\n\"Answer: n**2 + 564*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4914 is divided by 1932?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*((-5)\/2 + 3). Find the second derivative of 4*x + 2*x + x**2 + 2*x**2 - r*x**2 wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 41799\nAnswer: -5\/41799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 12*q - 15. Calculate i(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139826665 by -4861.\nAnswer: 28765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.09 + 9. Let t = 121 + -121. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 297444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5632*z - 5630*z + 102*z**2 + 22*z**2 + (z + 2*z - 5*z)*(-z - z + 0*z) - 1 + 1 - 2*z**2.\nAnswer: 126*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 32*c + 6. What is i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 + 4*f**2 - 4*f + 1. Let y(l) = l**3 + l**2 - l + 1. Let w(a) = -o(a) + 3*y(a). Let d be w(0). Factor 4 + d*q**2 - 7*q**2 + 3*q**2 + q**2.\nAnswer: -(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:04 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700548 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 15) to base 3\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from {v: 4, u: 2, m: 5}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25397.82317 rounded to the nearest integer?\nAnswer: 25398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 128648508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 - 15*q + 8*q + 8*q in the form f + t*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 37 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**4 + 19*q**3 - q**2 - 32*q wrt q?\nAnswer: -96*q + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*o - 2236 = 7*o + 790 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 0*b + 2*b + 25, 0 = -3*b - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63586 + -31141. List the prime factors of r.\nAnswer: 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143854 by -3.\nAnswer: 143854\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129456 divided by -21576?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(76) - (1 + sqrt(76)))*5)**2 + sqrt(76)) + 1 - 3*(sqrt(76) - (sqrt(76) + 0)**2)*3*-4.\nAnswer: -2810 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10603 (base 7) to base 4\nAnswer: 222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 5, -1, 3 in decreasing order.\nAnswer: 5, 3, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/487 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1000790 divided by -170.\nAnswer: -5887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**3 + 5*u**3 - 5*u**3)*(8 + 5 - 11 - u) - u**4 - u**4 + u**4 to the form j*u**4 + k + x*u**3 + q*u**2 + z*u and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*((l\/l**(-2\/43))\/l)\/l*l**(-15\/2)*(l\/l**(3\/2)*l)**(1\/23) assuming l is positive.\nAnswer: l**(-7350\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**3*h*s + 126*d**3*h + 4*d**2*h*s - 6010*d*h - d - 3*h*s + 3*h + 1 wrt d.\nAnswer: 30*d*h*s + 756*d*h + 8*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2880443255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 8. Suppose -f - 8 = -4*c + y, 0 = 5*f - 2*c - 10. Let t be ((-20)\/(-70))\/((-3)\/(-21)). Solve -t*i = -0*i - f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + b - 5*b - 30 = 0, c + 4*b + 18 = 0. Let r be 2\/3 - 4\/6. Let s be (-38)\/(-8) + (-1)\/(-4). Solve -c*t + s*t - 6 = r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -860 = -872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5604, -11207, -16808, -22407, -28004, -33599, -39192?\nAnswer: -44783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:00 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 627197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*h + 5, 8 + 2 = -2*c + h. Let x(d) = d**3 + 4*d**2 - 4*d + 7. Calculate the least common multiple of x(c) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/30 - ((-280)\/50)\/14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213167 is divided by 141?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(11\/18)*4\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 113*y**2. Let z(n) = 2*n**2. Give z(w(c)).\nAnswer: 25538*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/5)\/(48\/(-2432)*8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 519261288638 + -519261288385.000000271. Let k = w - 253. What is k rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35447 or -35454?\nAnswer: -35447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/7 (c) -1\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3472689304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14964651?\nAnswer: 3, 13, 23, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 478564963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by -109.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 4.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.88 - 0.88. Let u = x + -33. Which is the fourth smallest value? (a) u (b) -2 (c) 3\/8 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2995 less than -2988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(4) + 1*sqrt(4))\/sqrt(2))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422887?\nAnswer: 653, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 254845092*g**3 - 179154742 wrt g.\nAnswer: 764535276*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 - 5225*c**2 - 5208*c + 12516. Determine y(-1044).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -584277*b + 61. Let l be i(-7). What is l rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Find the second derivative of 9*u**4 - 4 - 4*u + 2*u**n + 4 wrt u.\nAnswer: 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:46 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2407 and 124001419.\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18907, -75469, -169735, -301705, -471379, -678757, -923839?\n\"Answer: -18852*i**2 - 6*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 47615082.\nAnswer: 95230164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 68718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, -29, -185, -403?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -31\/12435638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3656, -1\/2, 3\/43?\nAnswer: 3656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 + 391 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -278613711389?\nAnswer: -278613711384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270069 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -13*l**3\/3 - 13*l**2\/2 - 12*l - 2800. Give k(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 23*v - 1251. Let p be f(55). Solve -24*m + p*m = -60 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.15 and 49.\nAnswer: -56.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, -1\/6, -0.11 in ascending order.\nAnswer: -4, -1\/6, -0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 - (-2 - (0 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26.51311 and 197.299?\nAnswer: 223.81211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -844 - -600. Let a = -130 - z. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (19 + -11) - (-6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, k: 6, s: 2, r: 1, f: 2}. What is prob of picking 1 r and 1 s?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**2\/8 - 2727159*z\/4 + 2479132070427\/8 = 0.\nAnswer: 909053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19873845 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -3. Let z be (r - 0) + (-15)\/(-3). Suppose -z*k - 2*f = -116, -3*k + f = -3*f - 188. Calculate the highest common divisor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-7)\/(-21)))\/(9\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -3*f, 3*m + 12 + 3 = 0. Solve 0*u + 2*u + f*r = -21, 0 = 5*u + 5*r + 40 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3 + 0 - 5)*(-123*q**2 - 30*q**2 - 108*q**2).\nAnswer: -1044*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6125236*i**4*x**3 + 4150*i**2*x**3 + 1680*i*x**3 wrt i.\nAnswer: 147005664*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237811577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*f = -5*f + 5518, 0 = y - f - 1377. Let t = y - 786. Suppose -3*m = 5*a - 748, 4*a = -0*m + 3*m + t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 501, 550, 623, 720, 841?\n\"Answer: 12*r**2 + 13*r + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -41*c**2\/2 + 5. Let g(o) be the second derivative of -o**3\/3 + 140*o. What is g(r(d))?\nAnswer: 82*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9854417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhwwuuuhuwwwuuhuwwh. Give prob of picking 2 h.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (2 - 1) + 4. Suppose f*d + 2*w + 3*w - 30 = 0, 0 = 3*d + w - 12. Let i = 5 - d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*4\/(-6) + 5. Suppose -5*a - 3*v + 409 = 0, 3*a = y*v - 21 + 249. Is a a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (2\/10 - (-22)\/(-10)). Solve -n + w + 29 = -4*w, -2*w = 2*n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 (base 13) to base 14\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -28)\/(-5 - -4). Solve 0 = a - 3*k + 1, -2*k = -4*a - 4*k + z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112052155 rounded to four decimal places?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/120 + 7*n**5\/60 - 5*n**4\/24 + n**3\/3 + 6*n**2. Give i(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 638084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -12. Let q = d + -14. Let z = 12 + -18. Are q and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 2 + -2 - -2. Let n(k) = -3 - k - a - 2*k. Let g be n(-6). What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 239568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/24)\/(1 - 0). Which is the biggest value? (a) 0.05 (b) 1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (0 + (3*sqrt(567) - sqrt(567)) - sqrt(567))**2)*1.\nAnswer: -2288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/18*21126\/(-8048).\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**2 + 2*w**2 - w**2. Let q(x) = -x**3 - x**2 + 2. Let i be q(0). Let y(r) = -6 + 6 + r**i. What is o(y(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 184282787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h**2 + 16*h**3 - 3*h**3 - 3*h**3.\nAnswer: 10*h**3 - 58*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -16 - (-7 + -4 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - i = 12, z = -3*z + i + 17. Suppose 2*f = z*f - 3. Let y(j) = -j + 6 - f - 3 + 2*j. Give y(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -6. Suppose -5*j = -j - f*x, -2*j = 4*x. Suppose j*p - 18 = -3*p. What is the least common multiple of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, -5, -4 in increasing order.\nAnswer: -5, -4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 7. Let f(i) = 9*i + 15. Suppose 78*g + 264 = -282. Determine g*p(o) + 3*f(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 99132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4 + 220*n**3\/3 - 1886*n**2 + 19044*n - 32. Find d, given that m(d) = 0.\nAnswer: 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2703\/840 - 9\/((-27)\/(-6)). Let x = g - 1\/56. What is the closest to -0.1 in 4, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*t - 2*i - 9 = 207*t, -5*i - 25 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 77*t - 9. Let a(k) = -77*k + 6. Let r(v) = -3*a(v) - 2*y(v). Let s(h) = 14*h**2. Determine r(s(d)).\nAnswer: 1078*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - -98. Suppose -4*p - 8 = 0, y = 5*v - 0*p - 3*p. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81858 and 2730.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*(sqrt(13) - 3*sqrt(13)) - sqrt(1872)))**2.\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3813\/(-2952) - 8\/(-6).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -0.4512?\nAnswer: -0.013536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 709445 and 17105.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -8*w + 2*w + 2*x - 61, -175*x = -171*x - 148 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhnbs. What is prob of picking 3 n and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*t + 10, -2*t - 9 = 1. Let k = 9 + -4. Suppose k*z - n - 27 = 0, 0 = -3*n - 2 - 4. Solve -5 = -z*y, 7*b + 15 = x*b + 5*y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**8\/56 - k**7\/6 - 41*k**6\/30 + 2119*k**4\/3 - k - 159. What is the third derivative of n(l) wrt l?\nAnswer: 120*l**3 - 420*l**2 - 984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10*c + 6. Let p(l) = -7 + 6 + 2*l - 3*l. Let a(u) = -j(u) - 6*p(u). Let g(m) = -9*m**2. What is g(a(d))?\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -499.28552 rounded to 1 decimal place?\nAnswer: -499.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 41168*z + 7010481. Give j(-171).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2944*d**2*k*z - 16751*d**2*z**2 + 2*d**2 + 2*d*z**2 - d*z + k*z**2 + 562*k - 2 wrt k.\nAnswer: 2944*d**2*z + z**2 + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(27) + 1 - (sqrt(3)*-1 + -5)) - (sqrt(216)\/sqrt(8) + sqrt(432)*-1 + sqrt(3))*4)**2.\nAnswer: -336*sqrt(3) + 2388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446542802?\nAnswer: 2, 223271401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 12*i**3 - 28*i**3.\nAnswer: -39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2629912ng to grams.\nAnswer: 0.0000000002629912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 257, 252, 243, 230, 213, 192, 167?\n\"Answer: -2*g**2 + g + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5444*m**3 - 2*m + 3940 wrt m?\nAnswer: -16332*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1331)*2)**2*-2 + (sqrt(1331)*2 + 1 - sqrt(1331))**2 + sqrt(1331).\nAnswer: -9320 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 39. Let l = 0.9 + -1. Let r = 106 - 101. Which is the nearest to 1? (a) y (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -133, -253, -411, -613, -865, -1173?\n\"Answer: -z**3 - 10*z**2 - 51*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*x - 39 = 0, -12 = 3*n + 5*x - 8 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -100*z**2 + 45. Let r(t) = 9*t**2 - 4. Suppose -13*n = -2*n + 44. Suppose 0 = -2*k - 2*v - 38 - 56, -3*k = 2*v + 139. Determine k*r(b) + n*h(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m + m)*(-14*m - 2*m + m) - 3*m**2 - 3*m**2 + 5*m**2 + (2 - 1 + 0)*(-3*m + 3*m + 2*m**2).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -55. Suppose -o = -2*t + 4*u, t + 2*t - 21 = -3*u. Suppose -5*s - t = -10*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n - 7. Let j be b(7). Let c(g) be the third derivative of -1\/24*g**4 + 0*g + 0*g**3 + 0 - 3*g**2. What is c(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18907483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 251.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2290550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-12)\/30) + (-19)\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 11*k - 13. Let l(a) = a**2 - 13*a - 18. Let y be l(15). Let m be i(y). Put -5, -6, m in descending order.\nAnswer: m, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/3 + 9*i**2\/2 + 2*i + 3. Let f be y(-10). Solve -d = -4*d - f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11821058 is divided by 246272.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1016 at most as big as -1016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112602 is divided by 291?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - b**3 - b**3)*(4797 - 17*b**2 - 2*b - 4796 + 52*b**2).\nAnswer: -70*b**5 + 4*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 121, 293, -10 in descending order.\nAnswer: 293, 121, -1.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -13, -15, -17, -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1130 - -3428\/3. Let f = -11382358195\/1164 - -9778661. Let z = f - 2\/291. What is the common denominator of a and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 5. Let z(d) = 9 + d + 5*d - 3*d. Let m(r) = -r**2 + 5*r - 4. Let y(s) = -2*s - 1. Let x be y(-3). Let n be m(x). What is n*z(v) + 7*l(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 1 + 19. Let h = 7 - 7. Let r = h + q. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/((-1825)\/(-4380)). Factor s - 66\/5*f + 63\/5*f**2.\nAnswer: 3*(f - 1)*(21*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -9*l + 8*l, -5*h + 25 = 2*l. What is the units digit of (-24)\/40 + h + (-10256)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**0)**(-2\/67)*(d*((d**0*d)\/d)\/d*d)**(-2\/23) assuming d is positive.\nAnswer: d**(-226\/1541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 195*c**2 - 10*c - 1. Is i(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {n: 2, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11777d (base 14) in base 7?\nAnswer: -5034216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*s + 32605 = -k, 4*k = 2*s + 130420. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 146 = -34. Let v = -40 + p. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15165)\/180 + 38 + (-13)\/((-260)\/(-75)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-4 + 7 - 2) + 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 6*h**5\/5 - h - 11. Find the first derivative of v(c) wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 48, 109, 198, 315?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*i**2 + 1114*i**2 - 374*i**2 - 160*i - 369*i**2.\nAnswer: 14*i**2 - 160*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 14*m**2 + 29*m + 22. Let r be s(-15). Let g be -6*(r\/(-60) - 3). Sort g, -1, -5, 10 in descending order.\nAnswer: 10, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36477, 101694, 210381, 362532, 558141, 797202, 1079709, 1405656?\n\"Answer: -q**3 + 21741*q**2 + q + 14736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/y**(1\/5))\/(y\/y**1)**3)\/((y\/(y*y*y**(-1)))**39*y**(5\/2)\/y*y**(-1)) assuming y is positive.\nAnswer: y**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 168 = 3*q, -2*o - 2*o - q - 133 = 0. Let x = o - -55. Find the third derivative of 0*c + 3*c**2 - 15*c**6 + 0*c + x*c**6 wrt c.\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -860 or -836?\nAnswer: -836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*z + 124 + 1520 - 429 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 3*a + 630 - 620, -3*o + 4*a = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 6\/11 (c) -0.5 (d) 177\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1575 + -799. What are the prime factors of j?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 7. Suppose 0*s - s + 68 = 5*u, -4*u + 43 = -3*s. What is i(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1853752*k**4 + 196856*k**2 + 1 wrt k.\nAnswer: 44490048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -131\/10 smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**3\/3 - 10. Let t(n) = 2*n**2. What is t(i(b))?\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -263*l - 419*l + 161*l + (-1 + 0 + 3)*(l + 1 - 1).\nAnswer: -519*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a + 4*k, -5*a + 3*k - 14 = -33 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4)\/8)\/(1\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 27675.\nAnswer: 55350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -61. Suppose -3*g = -165 + a. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*z**2 - 217548846 + 217548846 + 23*z**2.\nAnswer: -354*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (-2*sqrt(2) + -2 - ((sqrt(6)\/sqrt(3))**2 + 5)) + -4.\nAnswer: -15 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 divided by -2?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6717*k**2 + 2997 wrt k.\nAnswer: 13434*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**6\/240 - g**5\/40 - g**4\/6 - 2*g. Let n(v) be the third derivative of f(v). Differentiate n(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 + 2*b**2 - 2*b + 1. Let a be c(1). Suppose -534 = a*f - 9*f + 5*h, h = -2*f + 274. Calculate the smallest common multiple of 8 and f.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68831.\nAnswer: 7, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 6220161.\nAnswer: 1\/691129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2. Let l(i) = 8*i - 6. Suppose -3*p = -2*p - 14. Let s = -3 + p. Let w(u) = 15*u - 11. Let c(j) = s*l(j) - 6*w(j). Determine f(c(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 - (1 + -1 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -556 (b) 6 (c) 153.6 (d) -4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/2 of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 3*a**2\/4 + a\/2.\nAnswer: a*(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeigegsjgep. What is prob of picking 1 p and 2 j?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47*((-5)\/(-3))\/(-5) and 1\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*l + 115*l + 0 - 375*l + 0 to the form c*l + x and give c.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2339.102 nanoseconds?\nAnswer: 0.002339102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**13)\/o)\/(o*o**0*o) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 763.\nAnswer: -534.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 14*a**2 - 14*a + 17. Let n be c(-13). Calculate the greatest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-26)*(-6)\/4. Let j = 23\/52 + m. Let i = -1131\/11 + 103. What is the third biggest value in 0.3, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 53139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d**3 + 23*d**2 + 7*d - 17. Let x(w) = 5*w**3 + 7*w**2 + 2*w - 5. Give 2*l(c) - 7*x(c).\nAnswer: -3*c**3 - 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.4 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -2)*1 + 119. Let z = -35 - 18. Let k = g + z. Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 12*y = -12. Let u be (y\/4)\/(21\/28). Let d(c) = -c + 3. Let g(v) = v + 1. Calculate u*g(h) + d(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12 + 1095*y + 1434*y + 11 - 530*y + 35. Is n(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -22. Let j(l) = -l**g + l**2 + l**2 - 1. Let n(r) = -2*r**3 + 4*r**2 - r - 2. Suppose -53 = -67*x + 14*x. Determine x*n(h) - 4*j(h).\nAnswer: -2*h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a day in minutes?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -262.2 to the nearest integer.\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 8*g**2 + 11*g + 39. What is k(9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from uuurusrdzuruzro.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 6. Suppose 0 = w - v + 2. Solve 3*p + 6 = -4*b + 23, -5*b - w*p = -21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801*b + 25121 + 7224 = -13312 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (251\/(-3))\/(5\/(-22 + 7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f**(2\/11))\/((f\/f**(1\/4)*f)\/(f*f\/f**(-4)))*(f**(7\/2)*f\/f**(-2\/7))**21 assuming f is positive.\nAnswer: f**(4777\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + z + 4. Suppose 2*m = 3*s - 22, 2*m = 7*m + 3*s + 13. Let j(t) = 6*t**2 + 2*t + 8. Give m*a(g) + 3*j(g).\nAnswer: 3*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4931\/2 + -2512. Let w = -21363\/100627 + -1\/2141. Calculate the common denominator of w and d.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -322 - -967\/3. Let m be (-13)\/14 + 9\/81*9. Which is the second biggest value? (a) m (b) g (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816031 and 4408?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 304766242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/20 + g**5\/10 + 7*g**4\/24 - 11*g**3\/6 - 28*g**2. Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 3 = -y, 5*y + 15 = -3*d. Let o be ((-3)\/(y - -6))\/(-1). Solve 0 = 2*l - 3 + o, -5*u = -l - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -t - 3*t. Let v = t + -14. Solve 2*n = -n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77425312 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*f = 10, -m + 21 = 4*m - 4*f. Let t(o) = 32*o + 8. Let j(k) = 32*k + 7. Let p(r) = 7*j(r) - 6*t(r). What is the units digit of p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*j - 2, 0 = -3*v - j + 13 + 9. Let o = v - 7. Let l = -15 + 11. Put o, l, -5 in decreasing order.\nAnswer: o, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/783*87120\/160?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436 - 3*a - 436 + 2*a**3 - 9*a.\nAnswer: 2*a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2624654 and 65\/177056.\nAnswer: 461939104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 282195623.\nAnswer: 282195620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18020 divided by -18020.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*z - 8 - 2, 14 = 5*z + 4*p. Suppose -9 = 3*l - 2*l + 5*g, -2*g - 2 = z*l. Is (2 - 3)*(l + -1565 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**5\/10 - p**4\/12 + p**3\/2 + p**2\/2 + 114*p - 12. Let k(q) be the first derivative of g(q). Determine k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 1. Let l be s(1). Solve 3*x - 18 = -l*f, -4*x + 4*f = 3*f - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from xxxxxfxxfxxfxxxxfxx.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 35*y**2 + 15*y + 87. Let x be o(-18). What is the highest common divisor of 33699 and x?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (28\/10)\/((-36)\/90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.933960969 rounded to three decimal places?\nAnswer: 1.934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 - 11. Let b be f(0). Let x = 8 + b. Let i = -1 + 0. Put -2, x, i in descending order.\nAnswer: i, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssmfmffyfmfsbe.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g = 413 - 980 - 1713 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/40503 and -49\/690.\nAnswer: 405030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*w - w. Suppose -4*f + 2*b = -4 - w, b - 5 = 0. Solve 0 = -4*m + 5*r - 45, 7 = -f*m + 2*r - 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/(23\/138). Suppose -2*t - d*q + 212 = -642, -855 = -2*t - 3*q. What is the lowest common multiple of t and 4?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.98 and 0.4?\nAnswer: 1.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-12 - -17 - (8 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246168 divided by -90344?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0 + 1\/12*n**4 - 2*n + 1\/6*n**3 - 34*n**2 + 1\/15*n**5. Determine d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390535196 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/399 + -18\/133. Which is the second smallest value? (a) o (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100126 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12227, 12216, 12205, 12194, 12183, 12172?\n\"Answer: -11*m + 12238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*g - 3. What is the third derivative of 183*s**g - 94*s**2 + 64*s**3 - 90*s**2 + 9 wrt s?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1377) + 1 + 3 + 1)*-3)**2.\nAnswer: 648*sqrt(17) + 12537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -333, -297, -227, -111?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -3. Let z = l + 1.3. Suppose -9 = 4*o + 11. Which is the smallest value? (a) o (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 + j - 3. Let a be w(5). Let i(g) = -1811 - 3*g**a + 4*g**2 + 1812 + 5*g. Calculate i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.7. Let j = q + 0. Let o = 6 - 4. Which is the third smallest value? (a) 5 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - o + 4, 7*o = 2*o + 20. Let p be 3\/(-6)*16\/(-4). Let z be -3 + p + 2\/1. Solve -d = -b*d + z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12588 + -6031. What is the highest common divisor of w and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2776 - -4033. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 32 = -0*v - 2*r, -2*r + 13 = v. What is the derivative of -19*y**2 + v*y**2 + 6*y**2 + 1 wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 12.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23ee (base 16) to base 10.\nAnswer: -9198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 - 74\/(-14). Let b = d + -2. Suppose b*o + 4*f = 23, 0 = -5*o + f - 2*f + 10. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 4207334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13432946 to the power of 1\/2, to the nearest integer?\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-5)\/1 + 3). List the prime factors of 13 + t*(-1)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -13525.\nAnswer: -13525.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.96066mg to grams.\nAnswer: 0.04996066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5873501229 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -329, -1207, -2915, -5729, -9925, -15779?\n\"Answer: -46*n**3 - n**2 + n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2798864 to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 105.99957. What is w rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-2) + (-2)\/(-4). Suppose 0 = -3*d, m + t*d + 0 = -5. Let k = -5 - m. Solve k = g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**4*r**3 - 235*m**3*r**3 - 77*m**3 + m**2*r + 3*m*r**3 - 3*m*r + 4*r**3 wrt m.\nAnswer: -48*m*r**3 - 1410*r**3 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 23. Let b be v(9). Let g = -17 - b. Suppose -45 = -0*h - h. What is the highest common factor of g and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -5. Let f(c) = 4*c + 16*c**2 - 13*c**2 - 2*c**2 + 1 - c**3 - 2*c**2. What is the units digit of f(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5096*x**2 + x**3 + 0*x + 7 + x - 5090*x**2. Give d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -1\/6, 0.03, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-3)\/(-4)*-3. Which is the second smallest value? (a) 2 (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 200*w + 199*w + 20247 = 0, -20253 = -5*f + w. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/8 + s**3 - 31*s**2 - 67. Let d(m) be the second derivative of p(m). Determine d(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1921*a - 964*a - 956*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*-1*-1 + (sqrt(847) + sqrt(847) + -2 + 2)**2.\nAnswer: 11*sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 183008 + 209345 = -30377. Is o a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(45) + -2)*-6 - -3*sqrt(45)*-3) + 3*(sqrt(180) + -4)**2 + -4.\nAnswer: -189*sqrt(5) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56109.8 decades to centuries.\nAnswer: 5610.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 1, n: 1, r: 14}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v - 22305 - 15772 - 3369 = 966*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25 - 13)\/(6\/(-20)). Let x be 2\/((-4)\/(v\/(-5))). What is the hundreds digit of (-70)\/(-40) - 1\/x - -107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 2. Suppose 1 = -4*l + 9. Let f be x(l). Suppose f*m - 84 = -2*m. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-80)*2 - 68\/5 - 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -6658 - 3876. What are the prime factors of y?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82984)\/(-1380) - (-8)\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u. Let f(d) = -4*d**2 + 5*d + 2. Let i = 27 - 6. Let n = i - 20. Let y = 0 - 3. Calculate n*f(z) + y*x(z).\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqss. What is prob of picking 3 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/g**(-13))\/(g\/g**(1\/15))**(-5\/14) assuming g is positive.\nAnswer: g**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = z. Suppose 28 = -4*i + 8*k - 4*k, -2*i - z*k = -21. Does 5 divide (-2 - -5)\/(i\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(32\/6)*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**3 + 21*i**3 + 2*i - 40*i**3 - 2*i.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-14)*266\/(-114). Solve 2*c - 4*c + u*o = -16, -3*c + 9 = -3*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 1015 - 358 - 318 - 47*n - 337.\nAnswer: -48*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 56, -179, -0.1044 in decreasing order.\nAnswer: 56, 5\/4, -0.1044, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 613658 by -21.\nAnswer: -613658\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -357*o**2 - 475*o + 470*o + 37*o**2 to the form g + p*o**2 + z*o and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -1\/2, -587, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58451227991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -904 - -905. Suppose -4 = -4*p + 2*p. Let b(y) = -1 + y**2 + 7*y + 11*y**p - 7*y. Calculate b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 21 = 6*l. Suppose l*h = h + 84. Calculate the smallest common multiple of 9\/4 + (-2)\/8 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/(2\/80). Which is smaller: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfcfdhfnhfcvnfcnccc. Give prob of picking 1 d, 2 f, and 1 h.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1996 + 1.1996. Sort 1999, -1\/3, t in ascending order.\nAnswer: t, -1\/3, 1999","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/30 - 3*h**4\/4 - 22*h**3\/3 - 182*h**2. Solve u(r) = 0 for r.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-18) + 0)*(-6)\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015213 rounded to six dps?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1326 and 4121871?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323795067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - 3. Is r - (-3 + (-19)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3371 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 8866, -1\/6, -6, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/6 - 24\/36. Suppose -4*p = -2*y - 9*p + 15, y = 3*p - a. Solve y = 6*t - 2*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/(-12))\/((-4)\/36). Let y = t - -39. Let k = 8 + y. Calculate the least common multiple of 9 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1713684 and 1173.\nAnswer: 29132628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*j - 1108, 4*g - 13*j + 8*j + 2246 = 0. Suppose q + 5*c = 1598 - 581, -9 = 3*c. Let s = q + g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 65\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(2\/(-3)))\/((-134)\/26264) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*q + 68, -142 = -3*q - 3*h + 5*h. Suppose -16*c + 99 = -1661. What is the highest common factor of c and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33198375773188+-1\nAnswer: -33198375773189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (1*sqrt(153) + 3)*-1 + 1 + sqrt(153)*1 + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 950471113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3579, -7158, -10737, -14316, -17895?\nAnswer: -21474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22623044 to the nearest integer?\nAnswer: 4756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55289 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*c**2 + 85846501*a**4 + 2*a**2*c**2 - a**2*c + 11804*a**2 - 228*a*c**2 - 3*a*c - 1 wrt a.\nAnswer: 48*a*c**2 + 2060316024*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 205*r - 2137. Determine s(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 43 = 4*z, 6*z - 38 = -3*a + z. Calculate the remainder when 39 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66523.2 and 190.56.\nAnswer: 66713.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 27*f + 7877 + 10583. Calculate the remainder when f is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g + 2167 = -977 + 284 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*z**3 + m - 56*z**3 - 1410*z**2 wrt z?\nAnswer: 6*m - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d - 6*d + 8*d)*(-56*d**2 + 2*d - d + 48*d**2 - 1).\nAnswer: -176*d**3 + 22*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*s**2 + 5*k**3*s - 2*k**2 + 577693*k*s**4 - 12*s + 913 wrt s.\nAnswer: -4*k**3 + 6932316*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*-26139.62\nAnswer: 104558.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -0.5, -2, -773, 2, 3 in descending order.\nAnswer: 3, 2, -0.5, -6\/5, -2, -773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -106769.483 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 3\/5, -9252863?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 46*a - 176. Determine n(15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1631, -1750, -1949, -2228, -2587, -3026?\nAnswer: -3545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -264.915311527.\nAnswer: -264.415311527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/51425664 and 133\/19284624?\nAnswer: 154276992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6266927 - 6259658.349. Let p = q - 7264. Let r = -0.051 + p. What is r rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 42*j**2 + 2762*j + 2066. Determine k(-65).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-15) + 3*8\/(-72). Sort -4\/7, 4, p in descending order.\nAnswer: 4, -4\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-8) + 1\/4. Let r(y) = y + 6. Let j be r(2). Solve -d*z + j = 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:14 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**3*x)\/x**(-18))\/(x**(4\/7)\/(x**(1\/17)*x)))**(-14\/9) assuming x is positive.\nAnswer: x**(-5590\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*c - 2142 = 132*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 25 = 4*a, -5*c - 4*a + 5 = 0. Suppose 8 = c*w + d - 2*d, 0 = -2*w + 5*d - 6. Solve -w + 5 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1 - 3. Let i be -2 + 0 - -3*j. Solve i = -0*x - 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2451 and 5004?\nAnswer: 4088268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 50. Suppose -16*w + v*w + 48 = 0. Calculate the greatest common factor of 128 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - 91 - 1*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291974 - 145978 - 384*k + 381*k - 145996.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 3. Let j be q(-6). Let o(z) = -z**3 + 3*z**2 + 3*z + 4. What is the tens digit of o(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-276)\/(-30) - -6) + -12. Factor -i - 12\/5*y**2 - 2\/5*y**3 - 24\/5*y.\nAnswer: -2*(y + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4*f + 10, 5*f = 37*o - 32*o + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 8*o + 7. Let q = -21 + -7. Let i be 1 + 2*q\/(-8). Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-816)\/(-16) - 18 - 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 119 + 1. Suppose 5*h + 5*c = g, -4*h + 4*c + 32 = -0*c. Find the second derivative of -h*f + 6*f**3 - f + f + 10*f wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/4 - 3*d**2\/2 - 43*d + 5. Let r be m(0). Let t = -39 - r. Solve 4 = t*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -170\/3*b**3 - 81*b - 2 + 0*b**2. Differentiate f(i) wrt i.\nAnswer: -340*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 - 3*z. Let f(g) = 161*g - 324*g + 162*g. Determine 3*f(l) - y(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/45 + 2\/45. Let g = -10 - -138. Let p = g - 1406\/11. What is the third smallest value in 2, t, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 3278.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/(-26)*4\/(-5). Put 1, k, -4 in increasing order.\nAnswer: -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1314 and -61\/1752.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -360*f - 1405. What is a(-7)?\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*o + 3*h, o + 79*h + 7 = 83*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*38.94583.\nAnswer: -155.78332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**3 - k**2 - 6*k - 5. Let p(v) = -11*v**3 - 2*v**2 - 13*v - 11. Let h = 0 - 6. Calculate h*p(j) + 13*o(j).\nAnswer: j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 10*l + 19. Determine m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221222 (base 4) in base 7?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 11 - -5) + -1 + (39 - (-17 + 7))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 - 6*y - 6. Let w be j(-6). What is the smallest common multiple of 22 and 24\/(-20)*20\/w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.24 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*y - 10, -12 = -3*y - 0*y - 3*b. Suppose -y*s - s = -33. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 380 - 378. Calculate the smallest common multiple of u and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76199 + 8686837\/114. What is the common denominator of i and -155\/42?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 31 = z - a, 0 = -4*z + 5*a + 121. What is the remainder when 3679 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 40 = -2*a + 13, 4*r - 3*a = -48. Let i be 51 + (-3)\/r*3. Suppose z + z = i. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 72063?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -257.402588 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2\/5 + 1153146*g\/5 + 18449568\/5 = 0?\nAnswer: -384366, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1. Let v = 1.8 + -4.8. Which is the smallest value? (a) v (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198226 a multiple of 967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.559316701 rounded to four dps?\nAnswer: 4.5593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4217, 14280, 31049, 54524, 84705, 121592?\n\"Answer: 3353*t**2 + 4*t + 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1292 + -1284. Solve -15 = c*g - 11*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 19*j + 196. Is (1910\/4)\/(j\/56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 - 5*w - 1. Let q(c) = 8*c + 275. Let p be q(-35). Calculate f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 6:06 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*w + 27*w + 8. Suppose 3*b + 9005 = 4*y, -w*y + 10144 = 5*b + 1163. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(2080\/30)*(-29)\/(11310\/(-104)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 728, 3\/4, -4 in decreasing order.\nAnswer: 728, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.88065 - -2.811. Round s to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3414201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011111 - 11?\nAnswer: -1111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/688 and 143\/16512.\nAnswer: 16512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 3*u**2 + 2*u + 3. Let g be b(-3). Let s = g + -33. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-66))\/(9\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (-735)\/(-27). Let c = 419 + -372. Suppose 139 = -p - 4*p + j, p - 5*j = -c. Is p at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -428, -423, -414, -401?\n\"Answer: 2*w**2 - w - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726836 divided by 1812?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 17549?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 8*y**2 - 8*y - 3. Let r be j(7). Let p be 27 + (-2)\/r*0. What is the highest common factor of p and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 2121?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6937 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -65347.\nAnswer: 5\/65347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2051939?\nAnswer: -4\/2051939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 13*u\/4 + 99\/2.\nAnswer: -(u - 9)*(u + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 80.886kg?\nAnswer: 80886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -5. Let x = c + 5. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 34. Let g(y) be the second derivative of 0*y**4 + y + 0 + 1\/10*y**l + 0*y**3 + y**2. Differentiate g(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**0)\/k))**(-8)*k*k**8\/k*k*k**3 assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552816349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 54*l - 649. Let w be d(-9). What is the closest to -1 in -5, w, 73, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42902080 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/45*(-75)\/135)\/((-7)\/588*-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00646 rounded to 4 decimal places?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -7)\/2 + 1. Suppose -c = 3*h + 9, p*h - 3 = 4*c + 3. Let t be h - -12*6\/9. Solve t = -2*o - a, -2*o = -6*o - a - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2550939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 - 178*x + 1712. What is q(9)?\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-11 - (7 + -5)) - (-8 - -3 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5034 + 5043. Solve -2 = -2*r - 2*z, 6*z = l*z - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnwnlnefffl. Give prob of picking 1 f and 1 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871 - 540. Calculate the remainder when h is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)\/(sqrt(18)\/sqrt(6)))\/((sqrt(11) + sqrt(176))*-2 - sqrt(22)\/(sqrt(2) + sqrt(18)))*5.\nAnswer: 40*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 412b + 12?\nAnswer: 413d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 423333540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/12 - (-2)\/(-3). Let b(g) = 8*g - 1. Suppose 27*s - 266*s = -24*s + 860. Let v(m) = -8*m + 1. Give s*v(o) + u*b(o).\nAnswer: -8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(5*x**4 - 4*x**4 + 0*x**4) - x**4 - 54 + 2*x**4 + 53 to j*x + t*x**4 + r*x**2 + h*x**3 + c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8546 + -2b?\nAnswer: -8571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60490864 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*s**3 + 470*s**3 - 242*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/(g\/g**(1\/6)))\/((g*g**(-5)\/g)\/(((g*g**(2\/5)*g)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6 - 0)*14. Which is smaller: -15\/2 or a?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 11:50 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -254 in 0.4, -2\/9, 2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47\/134069 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q - 213*q + 67*q - 1121471*q**2 + 74*q + 1121467*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.778727 rounded to 1 dp?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0)*(-4 + 2 + 1) + 5*w - 43*w + 17*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*k + 99 = -692, -3*m + 805 = 5*k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.1 minus 42?\nAnswer: -316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12*r)\/(r*r**(1\/6)) assuming r is positive.\nAnswer: r**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7aa28 (base 16) in base 2?\nAnswer: 1111010101000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 3) + (-3 + 2)*-4. Does p = 1\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 120070 greater than 120069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1384.71 and 2167877162.\nAnswer: 2167875777.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8059.086 days?\nAnswer: 696305030.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003667489592 rounded to seven dps?\nAnswer: -0.0036675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*d - 5. Suppose x + 7 = d*b - 3, -18 = -3*x - b. Suppose 4*w - 6*w - 7 = x*c, -5*c - 31 = -4*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 5 - 199175*q**3 - 111*q**2 + 199173*q**3 + 5 as k + m*q + u*q**2 + c*q**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 4*p**5 - 6*p**5)*(0 + 0 - 2) + 643*p**5 - 378*p**5 + 1210*p**5.\nAnswer: 1479*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - 4*1\/2. Suppose 10*c + 3*n - 15 = 7*c, c = 2*n - 1. Solve -d + i = c*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.35 + 5.65. Let j = 112 - m. Let h = 105.9999949 - j. What is h rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1828345ml?\nAnswer: 0.0001828345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4 - (-1 + 6)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 512837.58?\nAnswer: 512837.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -60.000175. Round p to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3973726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 + 3823104628?\nAnswer: 3823104628.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 53, 85, 119, 155, 193?\n\"Answer: x**2 + 27*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1460269, -1460268, -1460267, -1460266, -1460265, -1460264?\n\"Answer: o - 1460270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74317.69km?\nAnswer: 74317690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67704226*i**3*n**3 - 2*i**3*n - 171325128*n**3 wrt i?\nAnswer: 203112678*i**2*n**3 - 6*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20955.8793 - -4.1207. Let l = x + -20960.8911. Let z = -0.9 - l. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43 (b) 190 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*u**3 - 14 + u**2 + 3*u**4 - 142*u**3 - 4*u**4 + 440*u**3 - 145*u**3 to the form y*u**4 + w*u**2 + x*u**3 + h*u + c and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347\/92 - 81\/23. What is the closest to -1 in c, -3, 1\/19, 0.3?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662324 = -276*i + 88*i. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/150 and 29\/3705?\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20*6*20\/(-400). Solve -u*m = -31*m + 25 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**2 - 2339*w + 2339*w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3316 is divided by 1636.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*o - 3*o. What is the greatest common divisor of o and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70780837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/9, -3\/2, 0.28, 1\/3, -0.5 in increasing order.\nAnswer: -22\/9, -3\/2, -0.5, 0.28, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/49 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 6 - 5)*(-3*o + 3*o - 2*o) + 5*o + o - 3*o)*(5256*o - 5256*o - o**2).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5372310 is divided by 902?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-2*d**2 - 2*d**2 + 0*d**2).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-1*sqrt(448)))\/(sqrt(16) - sqrt(144)*-1).\nAnswer: -sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/(1*6\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 976139, 3904623, 8785429, 15618557, 24404007?\n\"Answer: 976161*d**2 + d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*h**4*r + 25123*h**3*r**2 + 187851*r**2 wrt h?\nAnswer: 16*h**3*r + 75369*h**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 10\/2 + (-10 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -40733272841.\nAnswer: -40733272846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -n - k - 1, 3*n = k - 26. Suppose 5*w = -2*u + 10, 55 = 3*u + 2*u + 5*w. Let z = u + n. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 18468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**2 - 44*b**2 + 24*b - 30*b**2 - 47*b + 30*b**2 + 23*b.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.941958201 rounded to two dps?\nAnswer: -7.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95581687 less than 82?\nAnswer: 81.04418313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k = -4. Suppose -r + 39 = -5*u - 4*r, -9 = k*u - 5*r. Let y(q) = -4*q. Let h(t) = -5*t. Give u*y(f) + 5*h(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + x + 3*x)*(-2*x**2 - 2*x**2 - x**2) + 0*x**3 + 4*x**3 - 5*x**3 to the form m + p*x**2 + w*x**3 + l*x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -2.59. Let w = 6.353 - 6.3. Let f = -0.053 + w. Sort -2\/17, f, z in ascending order.\nAnswer: -2\/17, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1787016 and 2464?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 2198901.\nAnswer: 10994505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(128)\/sqrt(4)*2 - (sqrt(72) + (sqrt(72) + (sqrt(72) - (1 + sqrt(72) + -1*sqrt(72) + sqrt(72))) - sqrt(72)) + sqrt(72)))**2 + 4.\nAnswer: -62 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-216)\/(-52) - 4\/26. Find the second derivative of -6*d**h - d**4 + d + 4*d**4 - 2*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/19, -2, 255, -2\/3, 2, 3\/4?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150336 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (878 - 55 - 253)*(1 - 5 + 0*a - 2*a).\nAnswer: -1140*a - 2280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 145*j**4 + 195*j**3 + 1405*j**2 + 1670*j + 600 = 0. What is j?\nAnswer: -30, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.51. Let z = 193 - 177.6. Let a = z - 15. What is the second biggest value in u, -0.3, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706\/19 or 36?\nAnswer: 706\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let k(y) = 149*y**2 - 6. Give f(k(o)).\nAnswer: -22201*o**4 + 1788*o**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose k*b - 3 = 3. Solve -6 + 2 = b*p, -5*y = -4*p - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8073 is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5692985?\nAnswer: 5, 43, 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 302 + -243. Suppose h + 220 = 9*o. What is the remainder when 118 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -4.5, -4 in ascending order.\nAnswer: -4.5, -4, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 - 1674*c**2 + 235188*c - 463704 = 0.\nAnswer: 2, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 354\/35 - 68\/7. Let y = 1.18 - 5.18. What is the closest to k in -3, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1746 divide 5634860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*h + 44 = 0, 2*t - 409*h + 405*h - 36 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2731*d**5\/20 - d**4\/2 + 13*d**3\/6 - 3*d**2 - 2600*d. What is the third derivative of b(l) wrt l?\nAnswer: 16386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/420 and 191\/3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -38. Calculate the greatest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w - w)*(-2 + w + 2)*(2*w**2 - 11*w**2 - 4*w**2).\nAnswer: 26*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10615855 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 9. Let i = r + 6. Sort 0.4, 1, i in decreasing order.\nAnswer: i, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 6*u - 11 = 8*u, -4*u - 7 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 7*i - 4. Let h(z) = -z**3 - 11*z**2 - 10*z + 7. Let k be h(-10). Let q be c(k). Sort q, 1, -2 in descending order.\nAnswer: 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -9. Let m = 28 - n. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.165 - 134.165. Let o = -199.5 - b. Let t = o - -49. Round t to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -695189\/21 + 33094. Let l = j + 53\/3. Find the common denominator of ((-4)\/2 + -129)\/6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*j**4 + 1430*j**2 - 110*j**3 - 1426*j**2 + 24*j**4 + (3*j**2 + 0*j**2 + 2*j**2)*(-j**2 - j + 2*j + 3*j**2).\nAnswer: 5*j**4 - 105*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 5. Let a(g) be the second derivative of -g**4\/12 - 10*g - 1. Give a(i(k)).\nAnswer: -k**2 - 10*k - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -3 - 4\/(-2). Let l = f - 4. Is 6 a factor of (6\/8)\/(l\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10978 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35061434 and 434.\nAnswer: 245430038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:21 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2. Let i(y) = 168*y + 18. Let j(f) = -425*f - 44. Let s(h) = 12*i(h) + 5*j(h). Give p(s(k)).\nAnswer: 59405*k**2 + 4360*k + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 521509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 15. Let q = n - -12. Suppose q*m + 54 - 159 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(1 + 18\/(-14)). Suppose -5 + 1 = -j. Let t = j - 4. Is i > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 408, -2, -384, -726, -1016, -1242?\n\"Answer: 2*n**3 + 2*n**2 - 430*n + 834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 3:26 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 442?\nAnswer: 21\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82348118 + -1095.\nAnswer: -82349213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.013 + 26885034.\nAnswer: 26885032.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 97116.6 (b) -0.3 (c) -1 (d) 2\/195 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.97 - -15. Let t = z - 0.13. Sort -4\/5, 3, t in decreasing order.\nAnswer: 3, t, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -4, 6, 5 in decreasing order.\nAnswer: 6, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 0, 3*t - 130 = -4*m - 53. Let g be 600\/m + -1*4. Calculate the greatest common factor of 130 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 71*n - 1. Let p(h) = h**3 - 5*h**2 + h - 6. Let t be p(5). Let r be a(t). Let q = r + 101. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/20)\/(-1)*4\/(-6). Let x be (-24)\/182 + (-4)\/(-14). Which is the third biggest value? (a) 1\/2 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5698 and 3773.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) -0.1 (c) -5 (d) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/5)*h)**(-47)*h**(-1\/17)\/(h\/(h\/(h*h**(-5)*h)*h*h)) assuming h is positive.\nAnswer: h**(-6771\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/28 - 2*i**3\/7 + 6*i**2\/7 - 8*i\/7 - 22. Solve f(b) = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - ((-900)\/57 + -36).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 24. Let g be (66\/(-5))\/(l\/(-10)). Suppose 0 = 3*k + 2*z - g, 3*z = -k - 2*z + 11. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let a = -575 + 577. Let h(z) = 20*z - 59*z - 3*z**a - 2*z**2 + 4*z**2. Calculate h(w(u)).\nAnswer: -u**2 - 39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 77*i**2 - 78*i**2 + 155*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (-50 + 60)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -78, -3\/2, 0.2, -3, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077*a + 784 = -1133*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/5 - 18*t**4\/5 + 10*t**3 - 54*t**2\/5 + 4*t = 0?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/10 - -2) + (-62)\/(-10). Let m be (q + 346\/(-50))*(-4 + -1). What is the closest to -7 in m, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16691 divided by -19?\nAnswer: -16691\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24011143 (base 5) to base 15.\nAnswer: -450b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 11*v - 8. Let f be u(10). Suppose -f = -j + 10. What is the remainder when -1 + (j - -1) - -3 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*o + 544*o + 8 = 102 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(13\/(-52))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2432 (b) 2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.4, 0, -181830?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 47 + 137 - 71 + 181 + o as s*o + w and give w.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 11768*t**2 + 70716*t + 106128.\nAnswer: -4*(t - 2948)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -122?\nAnswer: 14.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -2*sqrt(95)\/sqrt(5)) + sqrt(1539)*3 + sqrt(1539) + sqrt(1539))**2 - 6*(sqrt(1216) - -5*(-1*sqrt(1216) + sqrt(1216))**2).\nAnswer: -48*sqrt(19) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/2275 and -9 - (2\/(-25))\/(2860\/321695).\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + (1 - -4) + 20 - -4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4338134543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:32 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n - 13. Let b be c(0). Let u = 17 + b. Suppose 0 = u*d - 40. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*z + 22 = 0, -2*g + 3*z = 2*z + 13. Which is the fourth smallest value? (a) g (b) 1\/4 (c) -0.04 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/26) - 10. Let r(o) be the second derivative of 14*o + 0*o**2 + 0 + 1\/12*o**4 - 7\/6*o**f. Find the second derivative of r(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - 6.87. Let w = 2.41 - 9.81. Let g = w - t. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 6 = 9*c. Which is smaller: c or -1\/102?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -9, 10, 41, -1 in decreasing order.\nAnswer: 41, 10, -1, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:33 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 886, 3748, 8604, 15460, 24322, 35196?\nAnswer: 48088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -12089\nAnswer: 253869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118539586?\nAnswer: 2, 11, 489833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27058930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (33\/462)\/(-1 + (-5)\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, and 1 n when three letters picked without replacement from niggixanaanf.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*n. Let c(t) = 5*t**2 + 6. Let a(x) = 2*x**2 + 2. Let q(h) = h**2 + 1. Let u(f) = -a(f) + 3*q(f). Calculate n*c(r) + 6*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 48\/(-3))\/((-54)\/(-72))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 2*sqrt(98) + (sqrt(80)\/sqrt(4))\/sqrt(10) - sqrt(12)\/(sqrt(18)\/sqrt(3)*4).\nAnswer: 63*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8228797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7538 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857727593 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 11*s. Let y be c(-5). List the prime factors of 4\/y - (-1192)\/60.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922671307.\nAnswer: 922671307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 31*x - 956 = -2*m, -12 = -4*x. What is the highest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51641, 103288, 154947, 206612, 258277?\n\"Answer: -u**3 + 12*u**2 + 51618*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417575175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + j = -16, 45*t + 2*j = 48*t - 11. Let s(p) be the first derivative of 11 - 11\/12*p**4 - 1\/3*p**2 + 0*p - 13\/9*p**t. Let s(r) = 0. Calculate r.\nAnswer: -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-10))\/(1\/(15\/(-6))). Suppose 3*p = -6*n + j*n + 515, 0 = 4*p + 2*n - 670. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059082 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -133, -169 in decreasing order.\nAnswer: 14, 1, -133, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 12758*h - 6369*h - 6360*h. Let s(u) = -109*u - 1. Calculate s(r(p)).\nAnswer: -3161*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 - 5a?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**2 + 10*t - 24. Let a be g(4). Let c = -27\/8 - -39\/8. What is the third smallest value in a, -0.1, c, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 - 9170*t**2 + 18325*t - 9160 = 0. Calculate t.\nAnswer: 1, 1832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0646 - 50.8354. Let r = -51 - i. Which is the nearest to r? (a) 2\/5 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*q = 5, -4*t + 13*q + 16 = 11*q. What is the tens digit of 20\/t + -2 + 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.5 (b) -3 (c) 1\/12 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -14. Let v be 94\/(-14) - (67 + -74). What is the nearest to -1 in v, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/20*(-825)\/6. Let r = -74 + z. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y**2 + 4 + 8*y - 12*y**2 + 28*y**2 = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -17, 3, -5, 5, -10, 0 in increasing order.\nAnswer: -18, -17, -10, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*t + 111 = 0, -4*t - 79 = -2*i + 53. Suppose 2*f = r - 128 + 114, 2*f = 5*r - 94. What is the greatest common factor of r and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142351 is divided by 8356.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2 - 0. Let d(u) = -1 - 3*u - 7 - q. What is the units digit of d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18 - 8 = 0. Let n be (2\/(-1))\/(j\/(-88)). Calculate the remainder when 85 is divided by (-1)\/((-4)\/n*1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/42)\/(12\/(-7)))\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - 3*h**3 + 11 + 0 - 7 + 0 - h + 0*h to the form u*h + r*h**3 + q + s*h**2 + j*h**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*n - 5. Let o = -27 - -48. Let q = o - n. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 2*x**2 + 4*x - 3. Let m be y(3). Let i = -3 + m. What is the units digit of 46\/2 + i\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -505, -0.03 in decreasing order.\nAnswer: -0.03, -5, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14040365 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssaaslsblb. What is prob of picking 1 l and 2 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359.5847 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -57. Let z(m) = -m**2 + 10*m - 7. What is the least common multiple of z(8) and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 242*f**2*y**2 - 2*y**2 + 13*y wrt f?\nAnswer: 484*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -12\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c + 194 = 5. Suppose -3*j = 4*o - 18557, -c*j = -5*o + 5147 - 23713. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -11, -1.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzhzzhhzzhhz. Give prob of sequence hr.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**(1\/17)\/((d**(5\/3)*d*d*d)\/(d**(-6\/5)\/d)))\/(((d\/(d\/d**1))\/d)**31)**42 assuming d is positive.\nAnswer: d**(-587\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 114, -345, -1562, -3915, -7782, -13541, -21570, -32247?\n\"Answer: -63*t**3 - t**2 - 15*t + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 16*g. Let i be s(-16). Let z = -1.692 - -1.592. Which is the closest to -0.26? (a) -2\/5 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5714677 is divided by 703?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5741 + 7059 = 4*u. List the prime factors of 2\/(-3) - u\/(-48).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.15197891 less than -2?\nAnswer: -20.15197891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13209*l + 5538*l**2 - 3247*l**6 - 13209*l - 1623*l**2 wrt l.\nAnswer: -389640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1364)\/2170*(-1260)\/154.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 719, -2, 42\/31, 1\/4 in descending order.\nAnswer: 719, 42\/31, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 134 = -q - 44, -4 = 4*t. Solve -72*x = -q*x - 75 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*m + 4*g, m - 72*g + 73*g - 1 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 13*k**2 - 5*k - 27. Let a = -134 - -151. List the prime factors of j(a).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000738754 to six decimal places.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 10. Suppose 1 = -3*s + k. Suppose 2*x - 2 = 0, 0*r + 26 = s*r - x. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 42827?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - z**2 - z. Let m(b) = 5*b**3 + b**2 + 4*b - 2. Let u = 127 + -126. Let d(v) = u*m(v) + 4*j(v). Give d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8137501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36966985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -2 - (-18)\/(-7). What is the closest to -4 in -3, 0.5, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/48 + 5*i**4\/12 - 5*i**3\/2 + 42*i**2 + 3*i. Factor s(k).\nAnswer: -5*(k - 6)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 1, t: 2}. What is prob of sequence ull?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3694 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243207 is divided by 40531?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 70*a**2 - 2. Let r(u) = -u**3 - 28*u**2 - 1. Let j(g) = -10*r(g) + 4*v(g). Let z(d) = -1. Give 2*j(f) + 2*z(f).\nAnswer: -4*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 1, j: 2, p: 1, s: 4}. What is prob of sequence jd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010001110 (base 2) to base 6.\nAnswer: -5222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-17)*f**(2\/7)*(f**(18\/5)*f)**5 assuming f is positive.\nAnswer: f**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i - 23*i + 7*i. Let x(m) = 12*m. Determine x(y(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 - 104. Solve 2 = -15*b + j*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 4*q + q - 24.\nAnswer: 2*q - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1085.6 - -548.36. Let c = -557 - k. Round c to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1524757, 3049515, 4574273?\nAnswer: 6099031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.758814041 to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 598*y**3 + 160 - 4*y + y.\nAnswer: -598*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577091 is divided by 123.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgffqgfqyyyyqggggf. What is prob of picking 2 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 + 20?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*j = -42, 0 = -781*m + 784*m + 2*j + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:16 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 + 14 + (-14 - -8)) - 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 383942.4 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -893 (base 10) to base 11.\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*r**2 + 45 - 8*r**2 - 28*r**2 to y + m*r**2 + j*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - r - 2212, -2*d + 3*r + 1470 = 7*r. What are the prime factors of d?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31156281 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011011100001111 (base 2) to base 5.\nAnswer: -10022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*p = -155*p. Suppose -6*j = -2*j - 20, 4*n = 5*j - 221. Let z = -81 - n. Put z, 5, p in increasing order.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1938*g**3*p**3 + g**3*p - 170*g**3 + 2*g**2*p - 713*g*p**3 - 896*g*p - 2 wrt p.\nAnswer: 11628*g**3*p - 4278*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140690317, 281380634, 422070951?\nAnswer: 562761268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25446256, 25446250, 25446234, 25446202, 25446148, 25446066?\n\"Answer: -k**3 + k**2 - 2*k + 25446258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103261878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*3*6)\/sqrt(7).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002121 - -2002002?\nAnswer: 101011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 8*u - 5. Let g(m) = -2*m**2 + 15*m - 9. Suppose l + 18 = -5*v - 14, 14 = -2*v - l. What is v*g(h) + 11*o(h)?\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times -231?\nAnswer: 785.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236946523 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177979122 by 18.\nAnswer: -9887729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 9. Suppose 4*q = d - 0*q - 10, -3*q = o*d. Let m = -156 + 164. Calculate the greatest common factor of m and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {p: 2, r: 3, b: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -49*x**5\/15 - 34*x**3\/3 - 118*x**2. What is the first derivative of j(q) wrt q?\nAnswer: -392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-500)\/150*3\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 8. Let i be a(-6). Let g = i + -17. Is g < -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 * 63.\nAnswer: 6930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -2 (c) 63\/8 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885101858 and 6689?\nAnswer: 6689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q*x**4 + 12*q*x**3 - 14623*q*x**2 - 9*q*x + 7870*x**4 - 2*x**2 - 2*x wrt x.\nAnswer: -48*q*x + 72*q + 188880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*6 + sqrt(136))\/(sqrt(16)\/sqrt(2)*4).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v - 3*c + 6*c, -4*v - 3*c + 16 = 0. Let n = 13 - v. Let i(r) = 8*r - 12. Let z be i(9). What is the greatest common factor of z and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -14*i**3 - 2*i**2 + 977*i. Let f(j) = 69*j**3 + 12*j**2 - 4885*j. Let l(y) = 4*f(y) + 22*w(y). What is the second derivative of l(b) wrt b?\nAnswer: -192*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -239042220 and -0.4?\nAnswer: 95616888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**2 - 12*t - 4. Let a be s(-4). Let h be ((-5)\/130)\/(6\/a). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1060018, -2120017, -3180016, -4240015?\nAnswer: -5300014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2. Let v(a) be the third derivative of -139*a**5\/60 - 90*a**2. What is g(v(z))?\nAnswer: -38642*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-676)\/(-16) + (-1)\/4. Let s be 6*y\/(-9) - 2. What is the tens digit of (-1 + 5)\/((-5)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) + 1365\/3150?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 522, 2028, 4558, 8124, 12738?\n\"Answer: 2*q**3 + 500*q**2 - 8*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301507 + 301697 = -19*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + -2 + sqrt(833)) + 4 + (sqrt(833) + 1 + -5 - sqrt(833) - sqrt(833)))*1)**2.\nAnswer: -112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*-1 + 6*(sqrt(2) - (1 + sqrt(2))).\nAnswer: -6*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Suppose 396*f = -438*f + 97*f + 28743. Let y(w) be the second derivative of -35\/6*w**3 - f*w + 0 + 0*w**2. What is l(y(a))?\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23808*n**2 - 14832381*n - 1869.\nAnswer: 3*(n - 623)*(7936*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3 - m + 3*m + 0*m. Let t(q) = -q**3 + 2*q + 6. Let o be t(0). What is the units digit of y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (99\/22)\/(6\/8). Suppose -5*f = -8*f - k. List the prime factors of (-304)\/(-12)*(f + (-14)\/(-4)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*15\/2. Suppose -2*m - 5*y = w, -5*m + 2*y + 6 = -m. Suppose m*h = h + 4. What is the nearest to -2\/3 in 2\/5, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 5)*(-8*m + 4*m + 7*m) + 28 - 51 - 9*m + 28 as x + i*m and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215179934 - 114*x - 215179934.\nAnswer: -114*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*((-99)\/(-6))\/(-3). Let b = v + -83. What is the closest to 1 in b, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, 12, 4 in increasing order.\nAnswer: 1, 3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2226728 to 2 dps.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v - 7. Let w(i) = i**3 - 2*i**2 + i - 2. Let f be w(v). Suppose 14 = g - f*g. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -302434101?\nAnswer: -302434101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02054091 and -0.2.\nAnswer: 0.004108182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {g: 5, n: 3, x: 2, u: 3, a: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*d - 136 = -526*d + 358 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4283 + 9036 = 243*i - 3752 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = -122*x + 1330 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 64 - 29427*d**3 + 18.\nAnswer: -29427*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -67, -177, -331, -529, -771, -1057?\n\"Answer: -22*p**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/284 in -14, -0.7, 9\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 19. Let r be c(-16). Let z be 50\/r + (-18)\/27. Let f(p) = -5 + z - 4*p**2 - 11. Let u(i) = -i**2. Calculate u(f(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 + 1)*(-36*y - 14 + 14)*(1 + 1 - 1) in the form d + j*y and give j.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 + 7*v - 142. Let i be u(10). Let h(w) = -43*w**2 - w. Let g be h(-1). Let m = g - i. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 606537 or 606539?\nAnswer: 606537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**2\/2 + n - 4. Let s be i(-5). Solve -s = 2*t - 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 7 - 6 - 5)*(-128 + 56 + 40).\nAnswer: 96*n**2 + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -129*f**5\/2 - 33*f**4 + f**2\/2 + 331*f. What is the third derivative of n(u) wrt u?\nAnswer: -7740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6919224 + 0.529?\nAnswer: 6919224.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 477695752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 9*t - 6. Let x(i) = -i**2 - 4*i - 3. Let o(s) = -4*j(s) + 9*x(s). Let n be o(0). Let l(a) = -3*a. Let m(d) = 2*d. What is n*l(v) - 5*m(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 16 - (22 + -27 + -71).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 660 - 627. What are the prime factors of x\/(-44) - (0 + (-11781)\/12)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 5*s**2 + s + 0*s. Let j = -883 - -889. Let d(a) = -8*a**2 - 6*a + 2. Give j*m(u) + d(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 282*q + 2668. What is t(79)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2358665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 101120202112?\nAnswer: -101120202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 15*w**2\/2 + 13*w - 8. Let b(v) = -7*v - 6. Let q(u) = -5*b(u) - 2*y(u). Calculate the remainder when 55 is divided by q(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 10*j - 92 + 106 + 3*j**2. What is the remainder when f(-8) is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2150\/68 - (-16)\/(-136). Let a = 13768593\/34 + -404990. Let m = v + a. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23200102303 (base 4) to base 13.\nAnswer: -817942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*d*h**2*k + 8*d*h**2 - 2*d*k + 25*h**2*k - 10*h**2 - 2125*h*k + 206*h wrt h?\nAnswer: 36*d*k + 16*d + 50*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -81, -174, -303?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 1)*(-1 + -77). Is (-9)\/2*a\/27 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c. Let a(f) = 10*f - 4*f + 3*f. Let u(p) = -2*p + 44. Let z be u(17). Let v(n) = z*w(n) - 4*a(n). Let i(y) = -2*y. Determine i(v(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -6, 1, -4, 3, 51 in ascending order.\nAnswer: -6, -4, 1, 3, 51, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p - 554 + 806. Solve -p = -7*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 155, 258, 361, 464, 567, 670?\n\"Answer: 103*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-888)*-3*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047116020 divided by 4?\nAnswer: 261779005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.1, 1\/4, 0.3, 0.8, -0.22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:57 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4) + 0)*-4 - -527. Suppose 5*w - b - 780 - v = 0, 4*w - 1028 = -4*b. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q + 2*q - 4*f, 0 = -q - 2*f + 4. Suppose 0 = -b + 3*d + 3, 0 = -0*b - 3*b - 3*d + 9. Suppose q = -l + b*l. Solve l = -0*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 + 90*p**2 - 6*p + 24. Let v be l(30). Let c be 10*(v\/30 + 7). Calculate the highest common divisor of 114 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(1\/3)*w*w))**(-29)*w**(-4\/7)*w\/w**7*(w*w**(-2\/3))**(-21\/8)\/(w**6\/w**(1\/11)) assuming w is positive.\nAnswer: w**(100367\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*g = 8*g - 24, -g - 4 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148 + -77 - -179) + -4 + 171?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g + 22*g + 9*g. Let z(t) be the third derivative of 0*t**3 + 0*t + 1\/24*t**4 - 18*t**2 + 6. Determine d(z(a)).\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 16 = -11*w. Suppose t = 4*s - t - 52, -w*s = -2*t - 24. Sort 3, 5, s in increasing order.\nAnswer: 3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:56 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from mlmlllplmilqlmmmqm.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24395012 and -31\/6?\nAnswer: 73185036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.4. Suppose 3*r + 15 = -0*r. Let n be r\/((-35)\/16) - 2. Which is the nearest to n? (a) t (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 529877578 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i - 3. Let w be v(-6). Let k be -2 - (-5 - 252\/6). Suppose 72*b - 77*b + k = 0. Calculate the greatest common factor of w and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(2) - sqrt(36))\/(-6*sqrt(108)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 316967.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -1429, -2155, -2881?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14626 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*c - 1110 = 77*c + 158 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11085365?\nAnswer: 5, 2217073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - d + 4)*(52 + 105 - 46).\nAnswer: -111*d + 222","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/120 - 3*y**5\/20 + 5*y**4\/12 - 11*y**3\/6 - 4*y**2. Let b be x(8). Calculate the greatest common divisor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {b: 11, c: 1, q: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-60) - (-1)\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 269*t - 265*t = 26, y + 3*t = 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxxxwxxxxxxxwxxx. Give prob of picking 3 w and 1 x.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 109, 217, 325?\n\"Answer: 108*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1700 and 12.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158413371 by 52804457.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815678 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(2 + (sqrt(528) + sqrt(528) + (sqrt(528) - (2*sqrt(528) + sqrt(528))))\/(-2*sqrt(3)*-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 30*a**2 - 3*a - 81. Let k(c) = 2*c. Calculate v(k(x)).\nAnswer: 120*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Let j be ((-1)\/(-3))\/((-3)\/(-36)). Suppose 7 = -5*z - 3*t, 0 = -j*z - 5*t - 12 - 4. Solve 3*s + n = -z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2729214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.19 (b) -3 (c) 3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-18)*(-7 - -11 - 13). Solve 11*k - d*k + 42 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11817758 = -i - 3*w, -5*w + 23595091 = 2*i - 40422. Let v = 3827749 - i. Round v to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 645572.\nAnswer: 5810148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5579, 11121, 16619, 22073, 27483, 32849?\n\"Answer: -22*k**2 + 5608*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 2.9. Suppose 5*o = -c - 1095, o - c + 4*c + 219 = 0. Let i = -219 - o. What is the third smallest value in 2\/5, i, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 11:24 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 - 15*l - 4. Let f = -283 - -287. What is the remainder when 24 is divided by o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23705114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54798 + -34475. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 6*y**2 - 16*y - 8. What is t(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 178. List the prime factors of o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -4. Let x = 0 + n. Let t = 40 + -277\/7. Sort 1\/7, t, x in increasing order.\nAnswer: 1\/7, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 20. Let s(u) = -u + 10. Let t(f) = -2*b(f) - 5*s(f). Let k(y) be the first derivative of -3*y + 1\/2*y**2 - 1. Give -7*k(w) + 2*t(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/220 + (-33)\/(-55). Let q(o) = -o - 7. Let y be q(-5). What is the nearest to 4 in -0.5, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 1)\/(6\/(-20) - 0). Let t(v) = -7 - 10*v + 9*v**3 - 5*v**3 - 6*v**3 - 3. Let w(g) = g + 1. Give p*w(l) + 2*t(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/30 - s**5\/3 + 4*s**4\/3 - 8*s**3\/3 + 2*s**2 + 38. Find c such that o(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by -68?\nAnswer: 171\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 9, y: 9}. Give prob of picking 1 y and 2 h.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 13624621.\nAnswer: 6812310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.03 + -0.73. Which is the biggest value? (a) 1\/5 (b) -2 (c) p (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 - 3*s**2 + 6*s**2. Let f(v) = -8*v + 0*v + 0*v. What is f(j(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (4554\/106 - (15 - -5))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 - 3*j + 7. Let p(a) = -5*a**2 - a + 4. Let f(s) = -11*p(s) + 6*z(s). Let u be f(5). Is (-18)\/u*(-22)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0452 - -0.4548. Which is the second smallest value? (a) -1 (b) -91\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (-1 + sqrt(1573) - sqrt(1573))*-2 + -2 + (sqrt(1573)*-2 + -2)*5 + 5)**2.\nAnswer: 990*sqrt(13) + 127438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 plus 946029?\nAnswer: 946028.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-443624)\/(-7233)*12\/40.\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3.9. Let p = s - 1.7. Which is smaller: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -410 + 412. Is (5 + 33197 + (5 - 1))\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612022 (base 7) to base 4\nAnswer: 121120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/2)\/((-1)\/4). What is the derivative of g - 49*p - 42*p - 134 + 7*p wrt p?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-1)\/(4\/(-20)). What is the lowest common multiple of (-10)\/p - 444\/(-15) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.382 - -0.058. Let f = 0.445 - p. Round f to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let g(s) = 2*s**2 + 11*s + 2. Let n be g(-6). Let a(b) = -n*b**2 + 17*b**2 - 4*b**2. Calculate z(a(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -2*q - 17*m + 32, 4*q + 5*m - 25 = 0. Solve 88*b = 93*b - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.6414 - 33.94. What is o rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*b + 33953 + 42201. Round b to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11.6. What is the second biggest value in i, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + -15 + 7) - (-1 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b - 7. Let y(i) = -i**3 + i**2 + 6. Let r(h) = -5*j(h) - 6*y(h). Let w be r(5). Put w, 1, -5 in decreasing order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 89 = -2*h + 5*x, -h + 190 = -21*x. What is the smallest common multiple of h and 104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32437 and 8639?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 762313, 1524585, 2286835, 3049069, 3811293, 4573513?\nAnswer: 5335735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2236 or 0.0435?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4777480?\nAnswer: 2, 5, 83, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/9 + (0 - -1). Let k = 22 + -40. Let s be 8\/(-30) + k\/(-27). Which is the nearest to 0? (a) s (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -588 + 77025\/131. Let a be 328\/(-2882) - -2 - (-10)\/(-5). Let u = a - n. Is 1\/3 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187056647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2829 or -2819?\nAnswer: -2829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 328568, -6, 1, -0.4, -2\/11 in descending order.\nAnswer: 328568, 1, -2\/11, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2454, 9831, 22134, 39363, 61518, 88599?\nAnswer: 120606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -211, -1\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-15))\/(-2)*-66. Suppose -2*c + 3*q = -44, 2*c - 2*q - 22 = c. Do c and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629\/3 not equal to 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*y + 3*y + 27, -2*n = -8. Let a = 13 + y. Let r(g) = 5*g**a - 2*g**2 - 2*g**2. Let i(f) = f**2. What is i(r(m))?\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.0368919ns to weeks.\nAnswer: 0.00000000000028279909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - ((-8)\/1 - -14). What is the units digit of ((-4)\/(-6))\/(o\/(-10740))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1172 (base 9) to base 7\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + c. Let o be a(0). Suppose n - 5 = 2*h, -4*n + 6*n + 5*h + 35 = o. Sort -18, 0, -3, n.\nAnswer: -18, n, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-35)\/i)\/i**(4\/21))\/((i*i**(-2\/5))\/i*i*i**32) assuming i is positive.\nAnswer: i**(-7223\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 373 (c) -10540 (d) -2\/13 (e) -2 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = -4*k, -5*k - 4*s = -111 + 82. Solve -k*x = -3*p + 40, 0 = -x - 54*p + 56*p - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -227*f**4 + 431752*f**2 - 164018652 wrt f.\nAnswer: -908*f**3 + 863504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -9 - -14) + 27 + 28?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19591656 and 19591656.\nAnswer: 19591656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13 - 12)\/1)\/((117\/(-612))\/13).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 3}. Give prob of picking 2 s and 2 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 - -88 - (-2 + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1846 + -1841. Put 10, 6, t, 2 in increasing order.\nAnswer: 2, t, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 7a9bad?\nAnswer: 7a9b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684 (base 14) to base 6.\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 o when three letters picked without replacement from {x: 1, i: 7, s: 4, r: 1, o: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h + 4*h - 3*h - 13. Suppose 5*m + 45 = 2*c, -4*c + 4*m = -18 - 42. Determine w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1 (c) -8787\/5 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 + 12 = 0, x - 5*r - 4447 = 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-24)*51\/119*-118?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4211852 divided by -1052963.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11530*t**3*v**3 + 20*t**2 + 136*v**3 wrt t?\nAnswer: 69180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -34.99. Let v = 34.28 - u. Round v to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 12. Let w(q) = -2735*q - 1313. Let y(t) = 4*i(t) + w(t). Differentiate y(m) wrt m.\nAnswer: -2747","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.50852 rounded to two dps?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.15 + -0.64. Let m = t + -0.511. Round m to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**3 + 7*v + 7. Let m = -22 + 15. Let r(x) = 168 + 105*x**3 + 5*x - 2*x - 165 - 108*x**3. Give m*r(t) + 3*o(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 548 + -574.1. Let l = -26 - g. Is -14 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/35 at least -6060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1417\/7 or -201?\nAnswer: -1417\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 5*f + r - 68, 2*f - 168 = 4*r. Let a be 1*(-1)\/(-2)*f. Suppose 5*c - 35 - 20 = 5*h, a = 3*c + 2*h. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 6*y + 2. Let p be (-2 - 5\/(-3))*(-16 + -5). Calculate q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.073 - -0.073. Let g = -94845\/77 + 42876191\/34804. Let z = g + 1\/452. Which is the smallest value? (a) p (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvvvvxvv. Give prob of sequence vx.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(448) + (sqrt(448) - (sqrt(448) + -3)))*6 - (3*sqrt(448)*-5 - sqrt(448) - sqrt(448))))**2.\nAnswer: 6992*sqrt(7) + 237353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000034919393 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7 - 1. Let y(k) = -3*k - 1. Give y(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37140951443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 3\/6*-2. Let s be 23\/2 - 2\/t. Let n(p) = 4*p**3 - 3*p. Let u be n(3). Calculate the highest common divisor of u and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/6, -3, 5712, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2*j + 40. Suppose 4*z - 31 = -3*b, 5 = 2*b + 5*z - 4. Suppose -5*x - b + 77 = 0. What is the units digit of y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93960 and 232.\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + 0. Let w = -671 + 674.99. Let n = c + w. What is the third smallest value in -5, n, -3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144643?\nAnswer: 109, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1100*p**2 + 3*p + 42 wrt p.\nAnswer: 2200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/7 + 5\/14. Let p be 12*((-2)\/(-1) + -1). Let u be ((-2)\/p)\/(2\/(-6)). Which is the closest to u? (a) -5\/4 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-72) - (-50)\/(-42).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:58 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w - 4*h - 289 + 34, 5*w = -0*h - 2*h - 85 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 2363312 + 5*b**3 + 4*b**2 + 0*b**2.\nAnswer: 5*b**3 + b**2 - 2363312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 16) + (-188 - -195)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 261, -139137.\nAnswer: -139137, -7, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*y + 9, 0 = 2*d + y - 386. Suppose -5*u - 4*z - 33 = -1397, u = 4*z + 268. Suppose m - d = u. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67250, 134493, 201722, 268931, 336114?\nAnswer: 403265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/34 - 728\/119. Let z(w) be the third derivative of w**4\/24 + 13*w**3\/6 + 2068*w**2. What is z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 584 = 800 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 56*y - 1928 = -61*y, 2*s + 4*y - 970 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 - 553212?\nAnswer: -553335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 + k - 4. Let b be n(-3). Suppose -b = h - 17. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*f - 1. Let l = f + -4. Let w(s) = -s**3 + 3*s**2 + 2*s + 2. What are the prime factors of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39437*a**2*t + 40*a**2 + a*t - 9052*a - 7*t with respect to t.\nAnswer: 39437*a**2 + a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 78 = -16*r - 5*y + y, y = -18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3402 and 1670004.\nAnswer: 15030036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - -2122?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9619124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 5164*f**3 + 4834368*f**2 + 1963754496*f + 293807112192.\nAnswer: 2*(f + 528)**3*(f + 998)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/(6\/(-86))*(4638 + -4622)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/4)\/(9\/72). Sort 0.3, h, 1\/3 in decreasing order.\nAnswer: h, 1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/5 at most 14\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2419 - -16945\/7. Let q*h**4 - 40\/7*h**3 - 24\/7*h + 48\/7*h**2 + 4\/7 = 0. Calculate h.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.2 + -9.3. Let s = -20\/7 + 107\/35. Which is the smallest value? (a) 5 (b) s (c) -2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-48)\/160*-10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-10))\/(-3 + (-20)\/(-8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8)*a*a**6\/a)\/((a**(1\/3)\/a)\/a)**(-15\/7) assuming a is positive.\nAnswer: a**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 10) + 2 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*6 - (-6 + 6). Let i = -5 - j. Calculate the greatest common divisor of 56 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1310*u + 3 + 2490*u - 1221*u. Let h(z) = -40*z + 2. What is -4*h(m) + 3*t(m)?\nAnswer: 37*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*a - 27 = -2*a, 0 = 5*y - a - 37. Let k be 91*1*2\/y. Suppose k - 50 = -3*r. Solve -5*o = 4*s + 14, 0*o = -4*s - 2*o - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 294608047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 + 447.7. Let j(h) = 4*h + 4 - 2 - 5*h. Let b be j(2). What is the third smallest value in u, b, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - 19. Let d be ((-9)\/(i\/(-24)))\/(-2). Factor 4\/7*o**d + 0 - 2\/7*o**4 + 0*o - 2\/7*o**3.\nAnswer: -2*o**2*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3468*j**3 - 53380*j**2 - 61600*j\/3 - 2000.\nAnswer: -4*(j + 15)*(51*j + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-2 - -4*4). Suppose -17*d + h*d = -294. Let s = -72 + d. Calculate the greatest common factor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 778.86 to the nearest integer.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 16*n**2 + 16*n - 18. Let x be v(-17). Which is the closest to 0? (a) -1\/2 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 23*d**2 + 8 - 39*d**2 + (d**2 - d**2 - 2*d**2)*(-4 + 5 - 3).\nAnswer: -12*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 182 = 4*x - 224, -2*q = -7*x + 57 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 4*i**2 - 10. Suppose 3*k - 2*s = 12, 0 = 2*k - 3*s - 0*s - 13. Let z(n) = 2*n**3 + 6 + 5 - 209*n**2 + 214*n**k. Give -5*a(h) - 4*z(h).\nAnswer: 2*h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/11, 0.5, 5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f - q - 11, 5*f = 3*q - 47. Let r be ((-2)\/15)\/(18\/f). Suppose 0 = 5*k + 4*w + 15 + 10, -3*k = 2*w + 13. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bb90 + -5?\nAnswer: -1bb95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - 244\/(-10). Let z = 59 + -54. List the prime factors of 4*(-8)\/z*(-780)\/k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/12 - m**3\/3 + 5*m**2. Let j(b) be the first derivative of r(b). Let s be j(1). Solve 3*d - 4 = d, 5*k - 5*d = -s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9863)\/(-1645) - 6)*(12\/(-72))\/((-35)\/420).\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = 2*q, -5*q - 6*c + c + 30 = 0. Let h = 0 + q. Suppose 1 + 5 = 2*g. Solve g*n - h = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -132, -131, -130, -129?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 + 178*y**2 + 56*y - 25. Let d be k(-59). Solve d - 110 = -6*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3203792 and 149\/18021330.\nAnswer: 144170640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1368*s**2 + 33 - 4115*s**2 + 1365*s**2 + 1380*s**2.\nAnswer: -2*s**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 179308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92106 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: Collect the terms in 444 - 444 - 13*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + 131101?\nAnswer: 131160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsjnvvpspjjdp. What is prob of sequence pd?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-4\/3)*m)\/m)\/(m*m**(-48))*((m*m**37*m)\/m)**(-5))**19 assuming m is positive.\nAnswer: m**(-8170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 330*m - 2492. What is o(7)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63845 and 114130.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 5\/18*q**4 - 9*q**2 + 1\/9*q**6 + 0*q + 2\/9*q**3 + 2\/9*q**5 + 1\/252*q**8 + 2\/63*q**7 + 0. Solve s(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1771388 and -139\/12.\nAnswer: 5314164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**2 + 1 + 3 + 7 - 24. Let p(k) = -5*k**2 + 2*k - 9. Let j(x) = 49*x**2 - 21*x + 91. Let s(n) = -2*j(n) - 21*p(n). What is 6*a(u) + 11*s(u)?\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2 = -4*i, -2*b = 3*i - 0*b + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 - x + 1. Let h be 102\/(-17)*(-3 - (-24)\/9). Let b(a) = a**3 - 3*a**2 + 4*a - 4. Calculate h*b(o) + 6*p(o).\nAnswer: 8*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 0.5 (c) 12 (d) 1\/6 (e) 8 (f) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 668 + -631. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -563*q**2*r + 116*q**2 - 424*q + 122*r wrt q.\nAnswer: -1126*r + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4688*o*z**3 + 3*o*z**2 - 223093*o*z - 7841*z**3 + 22*z**2 - 2 wrt z.\nAnswer: -28128*o - 47046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12257*y**2 + 12248*y**2 - 36752*y**2 + 12246*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(-5\/9)*g*g*(g\/g**(-9))\/g*g*g*(g**(-9\/2)*g)\/g**(-4\/3) assuming g is positive.\nAnswer: g**(241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55286631 and 2?\nAnswer: 110573262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v\/(v*v*v\/(v**(-34)*v*v)*v)*v))\/v)\/v)\/v**(4\/17)*(v\/(v**(2\/33)\/v)*v)\/(v\/(v\/(v\/v**21))) assuming v is positive.\nAnswer: v**(31811\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617703 a multiple of 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 66071016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3377.3 + 3377. What is the smallest value in -14\/3, 2\/3, 0.4, j?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 60*o**3 - 5*o - 4. Let b be d(-1). Does 24 divide b\/(-1) + (-30 - -29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olbflologllnlfglgolo. What is prob of sequence blff?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:48 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 5350595*t**2 - 192626280*t - 1733651100.\nAnswer: 5*(t - 1070155)*(t + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**7*x))\/x)**4 assuming x is positive.\nAnswer: x**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495226847*h**4 + 273563025*h**2.\nAnswer: 11885444328*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = 2. Suppose 5*h - 28 = g. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let t be 36*(0 - x)*3. Let n be 13\/1 - (-1)\/(-1). What is the highest common factor of t and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 2458*f**2 + 2367953*f\/2 - 2358125.\nAnswer: (f - 4375)*(f - 539)*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 + 2 = 0. Suppose 0 = k*v + 12, 0*j + j + v - 4 = 0. Let f be ((-6)\/(-8))\/((-10)\/j). Is 0 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -84, -145, -212, -285?\n\"Answer: -3*v**2 - 46*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3144.43 - 3103. Let i = l + 4.07. What is i rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 2*q**2 + 3*q. Let a be u(-3). Suppose 2*m - m = a. Sort 5, 2, m in decreasing order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.1276637 + 0.1286337. Let n = -79 - j. Round n to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f - f**2 - 37*f - 30 + 20*f. Let s be i(-10). Let x = s - -246. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.018 + 0.018. Let z = 52232925 - 52232876.999969. Let u = z + v. Round u to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Suppose -3*d = -2*d + 4*j + 9, 3*d = j + 12. Let t(g) = 7*g. Let v(k) = -7*k. Let l(h) = d*v(h) + 2*t(h). What is l(p(u))?\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + 2*x - 7*x - 7016*x**5 + 9 + 6746*x**5 wrt x?\nAnswer: -5400*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1623.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 173.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18 = -4*c, 3*c - 37 - 30 = -5*v. Suppose -3*k + 18 = 2*j, 0 = -2*j + k + v - 4. Solve 0 = 4*g + j - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-597.\nAnswer: 179.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 368. What is the remainder when 277 is divided by (h\/(-225))\/((-4)\/(-70))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13031 - 218*s + 13031.\nAnswer: -218*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 4419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4498, -6218, -9076, -13072, -18206, -24478?\n\"Answer: -569*f**2 - 13*f - 3916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(896)*4)\/((sqrt(8) - (sqrt(16)*-2)\/sqrt(2))*-5))*6*3.\nAnswer: 54 + 192*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u. Let l(p) = -p. Let v(n) = -d(n) + 12*l(n). Let j(k) = 1108 - 1108 + 2*k + k. Calculate v(j(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -291284.3 rounded to the nearest one thousand?\nAnswer: -291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)\/z)\/(z\/(z\/(z**2*z)))*(z**0)**(-14)*(z\/(z\/z**(3\/2)))\/z**(1\/4)*(z*z*z**0)\/(z*(z*z**(1\/7))\/z) assuming z is positive.\nAnswer: z**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*g + 435*g**2 + 34*g**3 - 435*g**2.\nAnswer: 34*g**3 + 245*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b. Suppose 2*k - k - 34 = 0. Let x(u) = 34 + u - k. What is x(f(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32059793 a multiple of 1975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -670 (base 13) to base 16.\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 - -142. Suppose 3*a = 3*d - 1227, k = -4*d + 2*d + 5*a + 803. List the prime factors of d.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 3 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7071 - 7275.07. Let o = -205 - z. What is o rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -246 + -246104?\nAnswer: -246353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-261) - (-2756)\/7163. Let w be (5 + (-2)\/1)\/(627\/44). Factor p*d**2 - w - 2\/19*d.\nAnswer: 2*(d - 1)*(3*d + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852 - 852 - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 2*k**2 - 4*k + 4. Let o be l(2). Suppose -5 = -3*v + o*v - 3*f, 5*v + 3*f = 29. Solve 5*u + 5 = v*p, 4*u + 5 = -u - 4*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 2*s - 7*s)*(0 - s - 2 - 7*s) to the form l + z*s + b*s**2 and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let s(t) = -t**2 - 3*t. Let j(x) = x**2 + 2*x. Suppose -2 = -3*d - 4*c, 2*d - 9 - 4 = -5*c. Let r(b) = d*j(b) - 4*s(b). Give r(z(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255827911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**3 + 5*a**2 + 2. Let i(x) = 285*x**3 - 110*x**2 - 45. Let n(q) = -2*i(q) - 45*v(q). What is the third derivative of n(j) wrt j?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*b**2 + 3269*b**3 + 1118*b**2 + 66*b**3 wrt b?\nAnswer: 20010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 76*d - 708. Solve 4*y - 17*q + 22*q = 26, -2*q = -4*y + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 = -3*v, 37 = 4*v + 3*n + 52. Which is the fourth smallest value? (a) 1\/20 (b) 2\/47 (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11114 - -11113.9. Let a = -1 - 1. What is the third smallest value in -23, i, 3, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 124*p - 256.\nAnswer: 2*(p - 64)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*f + d, -8*f - d + 3 = -10*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + d - 559 = -2*d, 2*h + 4*d - 292 = 0. Suppose -9*m + h = -m. Calculate the highest common factor of 187 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from eeteetetteeet.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218693, 218691, 218689, 218687, 218685, 218683?\nAnswer: 218681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15868157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 + 4 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7166339m to nanometers.\nAnswer: 716633900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 3*q**2 + 2. Let p = -10 - -12. Let z be a(p). Let y be z + 0 - -8 - 0. Are y and 6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Suppose 0 = -119*h + 120*h - 1. Let g(u) = -88*u**2 - 3 + 3 - h + 97*u**2. Determine g(b(j)).\nAnswer: 36*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*d**3 + 482*a**2*d + a**2 + 298*a*d**3 + d**3 + 3*d**2 wrt d.\nAnswer: -12*a**2 + 1788*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence errs when four letters picked without replacement from erresrmssseerssses?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6261? (a) 2 (b) 5 (c) -2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*b + 349*b + 1 + 106*b**3.\nAnswer: 106*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9\/32, -7\/9, 3\/5 in increasing order.\nAnswer: -7\/9, -9\/32, 3\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 5a69?\nAnswer: -5a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 54*p**2 + 109*p - 73. What is the lowest common multiple of 11 and j(-56)?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.787 decades in millennia?\nAnswer: 8.94787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714150 and 27?\nAnswer: 714150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 5*v**2 + 1219. Let w(f) = f - 1. Let b(l) = -2*l**2 - 4*l + 4. Let h(c) = b(c) + 4*w(c). Determine k(h(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 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: Work out -5441 * -0.05.\nAnswer: 272.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 + 2*v - 5. Let r be g(5). Suppose 19 = 2*s - r. What is the lowest common multiple of 18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1071 + -1064. Which is the nearest to 19? (a) h (b) 2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 259\/28. Let f be (5 - u) + (-3 - -1). What is the second smallest value in f, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2248 - 2437 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f + 135. Let h(n) = -17*n + 1. Determine k(h(r)).\nAnswer: -136*r + 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*v**5 - 6031*v**4 - 4*v**3 - 765344*v**2 + 2*v?\nAnswer: -720*v**2 - 144744*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 274595 - -4?\nAnswer: 274599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1\/3 (b) -2\/13 (c) 265 (d) 4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 13735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3481.56 + 79.94. Let s = q - 3566.49984. Let b = s + 5. Round b to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.360537 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(t**2 - 6*t**2 - 4*t**2).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3709*h - 1766*h + 835*h + 1840*h - 7347*h to j*h + f and give j.\nAnswer: -10147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 + 65342*f\/7 + 1067394241\/7.\nAnswer: (f + 32671)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222050 is divided by 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -704*p**2 + p + 357*p**2 + 44*p**5 + 349*p**2 + 63 + 0*p wrt p.\nAnswer: 880*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/(-104))\/((2\/4)\/((-15)\/75))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93 - 29) + 6 + 12 + -15 + 1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-33)*p**(-15)*((p*p**(1\/3))\/p)**17 assuming p is positive.\nAnswer: p**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111932166 to the power of 1\/2, to the nearest integer?\nAnswer: 10580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 6. Let s = x - 16. Calculate the remainder when s*39\/(3\/(-1)) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -325, -319, -313, -307, -301?\n\"Answer: 6*q - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 33*b + 9. What is the remainder when u(26) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -30*n + 12*n - 3 + 15*n. Let k be m(-2). Let q(b) = -b**3 - 3*b**2 + 5*b - 1. Let j be q(-5). Calculate the highest common factor of k and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82978 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*j*k + 3*h**2*j + 1276*h**2*k + 6*h*j*k wrt j?\nAnswer: -2*h**2*k + 3*h**2 + 6*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69380, 69377, 69374?\n\"Answer: -3*b + 69383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190.0142 - -160.657. Let f = 0.3368 + c. Let y = -29 - f. Round y to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*-1*(sqrt(45) + (sqrt(45) + sqrt(2880))*4)*1)**2.\nAnswer: 554442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31156085 to the nearest integer?\nAnswer: 5582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 365 = 5*q, -4*p - 384 = 2*q - 104. Let x = p + 76. Suppose 3*t - 4*t + 4 = 0. Solve 6 = x*f - t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 4. Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 167? (a) 0 (b) -92 (c) 1\/6 (d) 4 (e) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68 (b) 0.011 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8041*j**4 - 3656 wrt j?\nAnswer: -32164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 65*v + 6*v + 3990 = -21*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/16 less than -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 461093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - t + 39 = 0, -3*h - 4*t = -6*t - 142. Calculate the remainder when h is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 + 0 = -5*m, m = 0. Factor 2\/5*l**5 + 8\/5*l + 12\/5*l**r + 24\/5*l**2 + 26\/5*l**3 + 0.\nAnswer: 2*l*(l + 1)**2*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*i + 493*i - 129*i - 121*i - 121*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u - 39 = -26*u. Does 38 divide (-516)\/16*4\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1) + (-276)\/(-6). Is 5128\/3*36\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 71600.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-2464)\/132*(1 - 559\/4). Is g equal to 2600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13032 at most as big as 13031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*-4*5\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 172*j**2 - 4116*j - 4288 = 0.\nAnswer: -1, 1072\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k + 3*k**2 - 2 + 5 + 0*k. Calculate the remainder when j(2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {s: 4, x: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.566192042 rounded to three dps?\nAnswer: 0.566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 6*x + 6*x - 26*x**2 + 20*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*m**2 + 0*m**2 - m**3)*(0 + 12*m - 4 + 3).\nAnswer: -12*m**4 + m**3 - 24*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33254002 (base 7) in base 3?\nAnswer: 12101211200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4993*p**2 + 227869*p - 227869*p - p**2 + p**2 + 2*p**2 + (-5*p + 2*p + 5*p)*(-2 + p + 2).\nAnswer: -4989*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356610893.\nAnswer: 3, 11, 5407, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 15, 0 = 2*y - 4*y + l + 13. Let p be 21\/28 + 93\/y. Let m = p - -10. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*s**2 - 64*s + 512\/5 = 0. What is s?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 2. Let o(j) = -3. Let l(b) = 5*f(b) - 4*o(b). What is the derivative of l(c) wrt c?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 - 2*m - 1. Let c(w) = 6*w**2 - 2*w + 5. Let s(z) = -z**2 + 1. Let u(r) = c(r) - 6*s(r). Let x(k) = -6*h(k) + 7*u(k). Give x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111110001 - 101011?\nAnswer: -111000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 6)*(-15)\/(-45). What is the third derivative of 2*n**3 + 3*n**3 - n**r + n**3 + 0*n**3 wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 42. What is the remainder when w(0) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -74\/1366873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 0.01. Let h = q + -2.98. Suppose -166*x + 181*x = 0. Which is the nearest to h? (a) -1\/2 (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 14*r - 2. Let x be -4 + 0 + (14 - (0 - -2)). Let i(g) = -2*g**2 + 4*g - 3. Let j be i(2). Let o(u) = 5*u - 1. Let m(p) = j*c(p) + x*o(p). Give m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 75*g**2 - 20*g - 6. Let c(o) = 75*o**2 - 10*o - 8*o + 3 + 2 - 10. Let a(q) = -5*c(q) + 4*m(q). What is the second derivative of a(z) wrt z?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0, -908 in descending order.\nAnswer: 0, -1, -3, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1138208 rounded to 4 decimal places?\nAnswer: -3.1138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + 0*z**2)*(14 - 14 + 30).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4\/2 + 31173*u**3 + 163445400*u**2 + 15407729211*u + 30488629965\/2 = 0. Calculate u.\nAnswer: -10343, -95, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9996210 and 3887415?\nAnswer: 69973470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 130833.545 and -475.\nAnswer: 130358.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2856 divided by 21\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y**2. Let x(z) = 749344*z**2. Determine g(x(j)).\nAnswer: -6176680733696*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -603.6 - -604. Which is the nearest to -0.2? (a) 5 (b) 0.2 (c) -0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 times -0.6\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Suppose -u + h*u = 72. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/18 + (-3)\/9. Suppose 0 = i*y - 0*y. Suppose 485 = 3*d + 4*n, y*n - 5*n + 481 = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 1. Let p be h(2). Suppose -y = j + 4*y + 49, -77 = p*j + y. What is the tens digit of 2\/(-3) - 1048\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(4800) - (sqrt(4800) + -3 + sqrt(4800))) + sqrt(48)) - (sqrt(288)\/(sqrt(8)*-1))\/(-2*sqrt(48)))**2.\nAnswer: -435*sqrt(3)\/2 + 63219\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16479 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-2)*(-3)\/(126\/(-96)). Let s(v) = 2*v - 21. Let z be s(u). Let x be z\/((2 - -3)\/5). What is the third smallest value in -3, -1\/4, x, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5487*y. Let h(c) = 2*c. Determine h(v(l)).\nAnswer: 10974*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 518.2 and 0.04.\nAnswer: 20.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 7?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-4\/15)*g)\/g*g)**(-39)\/((g*g**20\/g)\/(g\/(g**0*g))) assuming g is positive.\nAnswer: g**(-438\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 + 29 - 18) + 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/89122 and 89\/12.\nAnswer: 534732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -85. What is the smallest common multiple of 2\/(-9) + (6 - i\/18) and 41?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4403 is divided by 516.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831894 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 8*k**2 - k - 2. Let x be w(8). Let b = x - 32. Calculate the smallest common multiple of 2 and (-26)\/(-6) - (-14)\/b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2235 and 225.\nAnswer: 33525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:32 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295957, 295986, 296017, 296050, 296085?\nAnswer: 296122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13372091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385600 = 21*m + 113629. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 5741*a**2 + 1642775*a + 2975625 = 0 for a.\nAnswer: -9\/5, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*f - 24 = -3*g, 2*g + f + 12 = 0. Is (-2)\/g - (-135330)\/52 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10927789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 1, -83, 5, -15916 in increasing order.\nAnswer: -15916, -83, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101a (base 15) to base 14\nAnswer: -134c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-23 - (1 - 3)). Let n be (-38)\/(-9) - z\/6. Find s, given that 0 + n*s**2 + 4\/9*s = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21879 or -21867?\nAnswer: -21867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c6571 (base 14) in base 10?\nAnswer: -2092007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 44*i**2 - i. Let p(c) = -28*c - 9. Let h(n) = -110*n - 33. Let a(m) = 3*h(m) - 11*p(m). Calculate a(y(q)).\nAnswer: -968*q**2 + 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*n - 78 = 0, -5*i - 4*n + 25 = 153. What is the tens digit of ((-4716)\/i)\/(2\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346214437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 + 7. Let i be 3 - u - -6*1. Solve i*n = n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 39 + -3 + -368 + 378\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.24 and 636716062415?\nAnswer: 636716062415.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-36))\/(4*3\/(-48)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 22 = w + 11, 2*w + 3*i - 17 = 0. Let f(y) = 2*y**3. Let u(c) = 3*c**3 + c**2 - 2*c + 1. Let v(x) = w*f(x) - u(x). Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2602, 1, 2, -34, 0 in decreasing order.\nAnswer: 2602, 2, 1, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1105245 or -1105248?\nAnswer: -1105245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 7*h**3 - h - 11. Let g(m) = -m**2 - 16*m - 54. Let c be g(-5). Give n(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 1\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 116. Let u be (135\/30)\/((-3)\/o). Factor -2\/7*p**u - 6\/7*p + 2\/7 + 6\/7*p**2.\nAnswer: -2*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145621145 to the power of 1\/2, to the nearest integer?\nAnswer: 33847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 1, z: 1, u: 2, b: 4}. What is prob of picking 1 u, 1 z, and 1 b?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -19, -28, -39?\n\"Answer: -d**2 - 4*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61037*f**4 - 53328 wrt f.\nAnswer: -244148*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/72 - (14\/12 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4718 + 10533*w - 4718)*(-3 + 3 - 2*w) as g*w + m*w**2 + h and give m.\nAnswer: -21066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, 55 in ascending order.\nAnswer: 0, 4, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - k - 1. Is 16 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((sqrt(110) + sqrt(110) + sqrt(110)*2)\/sqrt(10)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from {h: 10, p: 3, n: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 844\/46043 or 0?\nAnswer: 844\/46043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10556 is divided by 200?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqa when three letters picked without replacement from qqaqqqaq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 3 - 24*n)*(2223*n + 37*n**4 - 2223*n).\nAnswer: -888*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 8, -7*v + 55190 = 3*r - 12*v. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 33 = -4*c, 0 = 3*w - w - 10. Solve -10 = -2*k - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -6)*(-10)\/6. Let k(n) = -11*n + 27*n - n**3 + 4 - l*n**2 - 11*n. What is the least common multiple of k(-6) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q**4)**(-43)*((q*q*(q*q**(1\/3))\/q*q)\/q*(q*q\/((q\/(q**6\/q))\/q)*q)\/q*q)\/(q**(1\/4))**0 assuming q is positive.\nAnswer: q**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 116*((3 - 9\/2) + 0). Let y = -167 - l. Is y less than 36\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -33. Suppose -10 = -5*c + c - 2*b, -8 = -5*c - 4*b. What are the prime factors of 1\/c + x\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 59, 46, 29, 8, -17, -46?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*p = 0. Suppose p = -3*a + 2*a + 6. What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -21 - ((3 - 1) + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Suppose 0 = 3*i + 4*w - 50 - 68, 4*i - 5*w - 116 = 0. Let q(y) = -34*y - i*y + 53*y. What is q(j(p))?\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127 times -0.07?\nAnswer: -78.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5215, -4, -6, -2, -3, 3 in decreasing order.\nAnswer: 3, -2, -3, -4, -6, -5215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**4 - 5*r**2 + 0*r - 3 + 0*r**3 + 3\/5*r**5. What is the second derivative of f(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s\/((s\/(s*s*s*((s\/s**(-3))\/s)\/s)*s)\/s))))\/(s\/((s\/s**(-3))\/s)))**(1\/4) assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -115838 and 0.0333.\nAnswer: -115837.9667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4871*n - 9644. Let u = -9 + 29. Calculate the remainder when h(2) is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = k + 18, 0 = 2*k + 2*k - 5*s + 97. Let t = 126 + k. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5803, 33586, 108999, 255856, 497971, 859158?\n\"Answer: 3969*u**3 + u**2 - 3*u + 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + d + 1. Let x be i(-2). Let q = x + -26. Let n be (-1)\/(-3*(-2)\/q). Sort 0.4, -0.2, n in increasing order.\nAnswer: -0.2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -920\/7 smaller than -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -5.894?\nAnswer: 1.1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-13895)\/(-35) - (-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435792 divided by -62256.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 114?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:31 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8566674 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7118 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j - 17. Let b(u) = -156*u + 479*u - 160*u - 159*u + 6. Determine -3*a(o) - 8*b(o).\nAnswer: 4*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/464 and -99\/16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 28*f - 56 = 5*f. Solve -f*g - 3 = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*c = -265*c + 1241 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -4\/7 (c) 1 (d) 13 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*u + 105*u + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 - 38*p - 244. Is n(33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i + 47791 - 4745368 - 21153. 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 -1\/5, 7\/3, -1\/3, -0.1271?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30230699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiqqtiiiqiqiiiiqip. Give prob of picking 1 i and 1 p.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9 = 3*b - 2, 11 = -2*b - 5*w. Suppose b*d = 705 - 82. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5 - 19. Which is greater: v or 74\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5405*z - 503. Calculate the smallest common multiple of 18 and m(1).\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*o - 66 = -335*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 3*p**2 + p**2 - 2*p + 0*p**2. What is the units digit of u(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-5)*-1*15\/(-6). Let o(v) = -2*v**2 - 5*v + 7. Let b(r) = -4*r**2 - 11*r + 15. Give y*b(u) + 13*o(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 22111200222210?\nAnswer: -22111200222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432.878ns to microseconds.\nAnswer: 0.432878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(1\/2)\/(-1). Suppose 2*t = s*t - 3. What is the units digit of -21*(4\/(-3) + t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 4)*(2*z + 4*z - 5*z) + (4 - 1 - 1)*(-1 + 2*z + 1) + 3*z - z - z + z + 0*z + z - 30 - 9*z + 30 to i + w*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29324 + 41*f + 14662 + 14662.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-2*h**3 - h**3 + 4*h**3) + (h + 8 - 8)*(-1 + 1 + 7*h**2) to m*h**2 + x*h**3 + c*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*q + 81*q - 140*q - 154*q + 9657 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 9*z + 27. Let n(x) = -x**3 + 8*x**2 - 8*x - 2. Let g(w) = w**2 - w. Let d(b) = 3*g(b) - n(b). Let h be d(z). Which is bigger: 0.2 or h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1384128 divided by 1944\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21952 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011001010000000010101 - 11?\nAnswer: -1001011001010000000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*3 + (sqrt(78)*3 + sqrt(78))*4)\/(sqrt(108)\/sqrt(2) - 1*sqrt(24)).\nAnswer: 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8092404 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235921815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 11. Suppose 0 = -q + 2*q - 1. Solve 3 = n*x - q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y. Let d(u) = 5*u + 362. Let m(b) = -4*b - 352. Let o(z) = 5*d(z) + 6*m(z). Determine o(l(g)).\nAnswer: -8*g - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 8*p**2 + 25532*p + 127328. Determine s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + v**2 - v - 2. Let i be x(2). Let l = -16 - i. Solve l = -h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeatttee. What is prob of sequence ea?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:35 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 8 = -2*j, 2*j - 5*j - 6 = 3*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 37. Let a be w + 0 + (-7)\/(3003\/(-13896)). Let u = -453\/13 + a. What is the common denominator of -12\/11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -60*h + 3. Let b be w(0). Solve -g + 12 = -3*i, 3*i - 4*g + b = -6*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001000010011000 + -10?\nAnswer: -10111001000010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (9 + (-6 - 6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awaaz. What is prob of sequence aw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429 + 433. What are the prime factors of (-1460)\/30*((-38)\/i - -2)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2493\/(-6)*(-21 + 22). Let p = b - 364. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111223 + -1002311?\nAnswer: -1120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 + 34680*r**4 - 14390608*r**3 + 70634152*r**2 + 184578828*r + 99519392 = 0.\nAnswer: -9067, -1, 7, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4237 - 4238 - 13*g**2 + 8475.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -4, -28 in decreasing order.\nAnswer: 4, 1, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 198*n**4 + 1428*n**3 - 2644*n**2 - 8790*n - 4914 = 0 for n.\nAnswer: -91, -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 20*c - 3\/4*c**4 - 15 + 0*c**2 + 1\/6*c**3. Let d(h) be the first derivative of x(h). Determine d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121927420 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 12. Suppose 0 = -h - 2*h + f, -d*h + f - 1 = 0. Which is smaller: -1\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372118 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101917899.\nAnswer: 3, 23, 337, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/57 and -2\/27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-160) - (-3)\/5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 47 - 43 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.1. Let g = 0.9 - -0.1. Let z = 0.1 + -0.2. What is the closest to v in z, g, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/15 + 62*r**4\/5 - 1504*r**3\/15 - 139792*r**2\/15 - 201376*r\/5 + 1318688\/3 = 0. What is r?\nAnswer: -14, 5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 183*u**2 - 2517*u - 2337 = 0.\nAnswer: -41, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -145585.\nAnswer: -145585.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) + -4 + sqrt(242) + 0)) + -1*sqrt(242)*-3.\nAnswer: 4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, -6\/29, -23 in ascending order.\nAnswer: -23, -3, -6\/29, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-338*m + 688*m - 2774 - 352*m)*(3 - 3 + 2) to y*m + o and give o.\nAnswer: -5548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {l: 3, j: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**3 - 5*p**3 - 11*p**3 - 7*p**3 + 4*p - 6*p**2 + 2 - 2*p**4 in the form m + k*p**4 + x*p + r*p**2 + l*p**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 25) + 4 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 341 + -336. Suppose -3*n - c - 2*c = 9, 5*c - 30 = 4*n. Put n, 2, 2\/59, r in decreasing order.\nAnswer: r, 2, 2\/59, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88912008 divided by -29637336?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -85 times -29464.2\nAnswer: 2504457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**3 + 3*l + 2. Let b be 3*36\/27 + -5. Determine v(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 5*v**8\/336 - v**7\/21 + v**6\/24 + 7*v**2. Suppose d(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j = 64*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 1) - sqrt(1088))*2.\nAnswer: -16*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 4*d**2 - 9*d + 0*d**3 - 1\/2*d**5 + 0*d**4. What is the first derivative of x(h) wrt h?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 12) in base 8?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -3978499?\nAnswer: 3978494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -2*v**2 + 2*v + 1. Suppose -4*a = 54 - 14. What are the prime factors of k(a)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6273178.\nAnswer: 18819534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -733*p + 10. Let z(u) = -489*u + 7. Determine -5*y(i) + 7*z(i).\nAnswer: 242*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/3*g**3 - g + 24 - g**2. Factor y(j).\nAnswer: -(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1717484560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 9518. Let p(q) = 18296*q**2. Give n(p(h)).\nAnswer: -18296*h**2 - 9518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-2)\/12). Let t(b) be the second derivative of 3*b**3\/2 - 2*b**2 - 6*b - 1. Is t(w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7340295360.\nAnswer: 2, 3, 5, 17, 449773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 7 - (-194 - -196)) + -25\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -191758 less than -191350618?\nAnswer: -191158860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/13)*(q\/q**(-1\/4)*q)\/q)\/((q\/q**3)\/(q*q**(1\/7))) assuming q is positive.\nAnswer: q**(1935\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 23. Let d be 0 + -1*12\/g. Let n be 1 - 1 - (-12)\/10. What is the closest to -1 in 2, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 134, 243\/4, -1942?\nAnswer: -1942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 166425?\nAnswer: -166430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -6, 8, -4 in descending order.\nAnswer: 8, 1, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffffffrfv. Give prob of picking 1 r, 2 v, and 1 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let c(t) be the first derivative of 3*t**3 - 61. Calculate h(c(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 - ((-3 - 12) + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -404\/9 less than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60744200 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1227 + -8525\/7. Let s = -60\/7 + v. Let z = 0.08 - -0.22. Which is the third smallest value? (a) -3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2787*v**5 - 134*v**3 - 3*v**2 - 169940*v - 1.\nAnswer: -167220*v**2 - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.13 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:04 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trro when four letters picked without replacement from {q: 4, o: 1, t: 8, r: 4, h: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.3 - -12.2. What is the closest to 1 in 2\/5, x, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49567940.\nAnswer: 2, 5, 67, 71, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.667856, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 8*c + 12. Let m be c - -6 - (-2348586)\/(-80). Let a = 29355 + m. Find the common denominator of 61\/4 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/8, 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 - 3*z + 9. What is the units digit of t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrryyryyy. What is prob of picking 2 y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 17251*n - 17251*n + 13*n**3 + 0*n**2.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (-6 - (-1 + 1 - (41 + -38))) - -7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -49*l**2 + 3142*l - 3498. Calculate t(63).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88\/12 + (-1)\/3. Find the first derivative of 0 - 6*q**4 + u + 5 - 3 wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 797.0759 millennia?\nAnswer: 79707.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*o + 34*o - 59 - 753 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4750*m + 251. Let j(w) = -2*w**2 - 17*w. Calculate v(j(q)).\nAnswer: -9500*q**2 - 80750*q + 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (4 - (0 - 1) - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93874 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/12280440 and 63\/2251414?\nAnswer: 135084840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547474 (base 8) in base 16?\nAnswer: acf3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/((-1)\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*210\/30\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 292 and 87217626?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*c**4 + 10*c**4 + 22*c**4 + (5*c**4 - 4*c**4 + 0*c**4)*(2 - 2 + 1).\nAnswer: 23*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 6. Let w(i) = 3*i - i**2 + 10 - 11*i + i. Let q be w(-7). Let l be u(q). Solve 3*y - 4*c + l = -y, 1 = y + c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Find the first derivative of 0*p**4 - 5 + 4*p**4 + 0*p**h - p**4 wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*c = -25916 - 12776 for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 384675 - 222065. What is a rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -69087781.\nAnswer: -2\/69087781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + u + 0*u**2 + 2*u**2 + (-2 - 1 + 1)*(-2*u**2 + 0 + 0).\nAnswer: 6*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-85) - (2 + -2). Let z = 177\/595 - y. Do z and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/100)\/((-4)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - 5\/(-55)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0 + 1\/12*n**4 - 2*n - n**3 + 7\/2*n**2. Let t be v(5). Let r(q) = -q**3 + 2*q**2 - 3*q + 1. What is r(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 381 and 27?\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a5 - 0?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/5)\/r)**(-29)*(r\/r**(2\/11))**(1\/46))**6 assuming r is positive.\nAnswer: r**(88179\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147, 154, 161, 168, 175?\n\"Answer: 7*f + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-12))\/((-1665)\/(-1776)) + 5\/1?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*f = -28, 5*q - f = 3*f + 28. Suppose 0 = -y - q + 70. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 30 - 76 - n + 16.\nAnswer: -n - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 4*d**2 + 4*d - 3. Let f be m(2). Let n(b) be the first derivative of 3*b**2 + 3*b - 139. Calculate the remainder when n(f) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {s: 1, u: 4, g: 1, v: 1, d: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2124148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43720.\nAnswer: 2, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121\/127047 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -3 + 2)*1. Suppose h = 2*b + b. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*2\/3. Let h(g) = 10*g + 6. Let l be h(3). Let x be n + ((-140)\/l)\/5. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-11*w**2 + 11*w**2 + 5*w**4).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 52*r + 2. Let m be a(-52). Let p(z) be the first derivative of -4\/5*z**5 + 12 + 4*z + 0*z**3 + 4*z**m - 2*z**4. Determine q so that p(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:59 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {l: 1, z: 6, a: 8}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let o be b(-1). Is 3\/(o - (-24)\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20729405.\nAnswer: 5, 379, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:10 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -7*a**4\/12 - 2*a**3\/3 + 18*a**2. Let q(c) = -14*c - 3. Give 3*o(g) - 4*q(g).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1389, 2777, 4165, 5553, 6941, 8329?\n\"Answer: 1388*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24755, 49482, 74219, 98972, 123747, 148550, 173387, 198264?\nAnswer: 223187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b**2 - 3*b + 3. Let r be z(1). Let m(f) = 2*f + 15. Give m(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -8*j + 36. Calculate the greatest common factor of j and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -63452?\nAnswer: -63442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.063 - -0.063. Let x be (9\/3)\/(-6) + -1. Which is the second biggest value? (a) x (b) -1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1198, 1182, 1166, 1150, 1134?\n\"Answer: -16*g + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -16. Let t = 4 - 2. Let n be 0\/(-1 - t) - 0. Solve n = -4*s - 20, -4*p + k = 3*s + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490415 is divided by 408?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 - 10*t - 75)*(-4 + 19 + 8) to the form i*t + x and give i.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/176*(-3 - 1). What is the closest to -1\/2 in -4\/3, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7845 divided by 3.\nAnswer: -2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 20*m**2 + 39*m + 118. Calculate z(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p**2 - 2. Let q(l) be the third derivative of l**5\/20 + 184*l**2. Calculate a(q(b)).\nAnswer: -90*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2. Suppose 2*r + 3*g - 424 = -3*r, 0 = -2*r - g + 169. Let x = r + -41. Let p(t) = -x + t**2 + 42. Calculate v(p(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 17*f + 14. Let o(u) = -11*u - 9. Let g be ((-1710)\/40)\/((-6)\/16). Let s = g + -76. Let l be (-5)\/20 + s\/(-8). Give l*t(y) - 8*o(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/3804634 and -2\/26945?\nAnswer: 19023170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227322 is divided by 16227.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3*f)*(655 + 126 - 54)*(3 - 3 - 2) to j*f + a and give j.\nAnswer: -4362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 2084 and 1433 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/57 - 4\/19. Let t be 2*3\/(-6)*-1. Let n be 0 - (-2 - t\/(-1)). Is z at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*5\/(80\/48)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -111. Let m(k) = -51*k + 2. What is the tens digit of m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**4\/24 + 5*k**3\/6 + 36*k**2. What is r(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -45.46. Round a to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((15\/(-18))\/5). Suppose 4*u + 16 = 2*d, 3*d + a = -5*u + u. Find the third derivative of -i**2 + 0*i**d + 2*i**3 - i**2 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2238*i = 2225*i + 3*n + 30, n - 2*n - 29 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2456*u = 2527*u - 426 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 51934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 - -116. Which is the closest to -2\/3? (a) x (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(-1\/5) assuming j is positive.\nAnswer: j**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 8. Let s be h(-4). Suppose -14 = -2*z + 3*z. Let y = z - -16. Solve -y*t = -2*x - 4, -1 = -s*x + t - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efj when three letters picked without replacement from fajfjjafejfajaj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/3 - 207952*m**3\/3 + 1247470*m**2 + 8108684*m\/3 + 4158320\/3 = 0. What is m?\nAnswer: -1, 20, 103958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860172.\nAnswer: 2, 3, 107227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, t: 2}. Give prob of sequence bb.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -11*d**2 - 1. Let n be u(-3). Let l = 95 - n. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*c = 1520, 0 = -2*h - 0*h - 4*c + 760. Suppose 0 = -2*b - 11*n + 9*n + h, 5*b - 910 = 5*n. Calculate the greatest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758080*x - 2 - 758081*x + 2.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.00591, 6.7, -2\/11 in descending order.\nAnswer: 6.7, -2\/11, -16.00591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 168 = -5*o - 3, 2*m + 5*o = 57. Calculate the remainder when 49*3 - (100 - 95) is divided by m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 2*p + 18. Let j be (-2)\/(-6) + p\/408. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3\/17, 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.98 in -1\/7, -545, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/33 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 109. Let x = a - -124.7. Round x to 0 decimal places.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 33*m**2 + 29*m - 104. Determine f(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 335, 748, 1813, 3854, 7195, 12160, 19073, 28258?\n\"Answer: 54*c**3 + 2*c**2 + 29*c + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -651\/19 - -6891\/266. Let l(g) = -6*g**3 - 2*g**2 + 2*g + 1. Let v be l(-2). Find the common denominator of 1\/2 + v\/4 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4578477 and 591.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.049 (b) -0.2 (c) -3 (d) 1\/9 (e) 1\/13 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + w + 3. Let g(f) = 3*f**2 + f + 5. Let j(l) = 2*g(l) - 5*z(l). Let y be j(5). Solve -y*v + 10 = 5*b, -b + v + 2*v = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:59 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**5\/60 + 13*c**4\/12 - 3*c**2 + 21. Let h(l) = l. Determine h(j(n)).\nAnswer: -n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 30 = -4*t + 58, -3*f + 12 = 0. What is the smallest common multiple of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 - (-29 + 11)) + 30?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (201*f + 495*f + 1748*f)*(0 + 0 + 2*f) as h + j*f + i*f**2 and give i.\nAnswer: 4888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4*r + 18, 7360*z - 7356*z + 8*r + 4 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 6879*v**2 - 9 - 6880*v**2 + 4*v + 0*v - 2*v. Give y(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 18.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130)*2*3 - sqrt(130))*5)\/(sqrt(40)\/(sqrt(4) + 2*sqrt(8)\/sqrt(2))))**2*-3.\nAnswer: -219375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 29\nAnswer: -112\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 48 = -4*h + m, 2*h - m = 31. Solve -5*j - 4*d = -21, -j - 4*d + 0 = -h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333989 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5576965 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1036 - 1?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:44 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, 1, -7, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 4:10 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7176 = -37*n + 218*n - 43*n for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 8 + 9 - (-2 - 37)) + -15 + 28\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n = 79*n - 252 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2926 - -2925.701. Which is smaller: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 650 + -1589.\nAnswer: -939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1425 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -0.3, -20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 96.48398 centimeters?\nAnswer: 0.0009648398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) 9 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 3*a**5 + a**2 + (20*a**3 - 9*a**4 - 20*a**3)*(0 - a + 0).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80827 is divided by 421.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(-d - 2*d**2 + d)*(3 + 2*d - 3) in the form t*d + u*d**3 + i + p*d**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 13*q**4\/24 - 17*q**3\/6 + 34*q**2. Is 20 a factor of u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + 10 - 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (35\/84)\/((-15)\/(-60)) + 784\/3 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4 - 10*z + 1 in the form n + b*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -985 = -5*v + 3415. Round v to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 7 + -3)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:01 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 292 and 46532?\nAnswer: 3396836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3762 + -433. What are the prime factors of g?\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, -4, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-71 + 71 + 12*s).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-4 - ((-7 + 18 - (-1 - -6)) + -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 489 + 2?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:17 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1541110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 15*m**4\/4 + 13437*m**3\/2 + 12058323*m**2\/4 + 4800780*m - 2403075 = 0.\nAnswer: -895, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.196 or -13652?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54072 is divided by 351?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6056.6 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 209\/23 (b) 1\/8 (c) -1\/5 (d) 2\/3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(4 - 1 - 4) - 1 + 3 - 3)*(-2*z - 2*z + 5*z)*(11*z + 6*z + 20 - 20*z).\nAnswer: -3*z**2 + 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15*t**2 - 15*t. Let u(y) = 23*y**2 + 23*y. Let h(k) = -5*u(k) - 7*x(k). Find the second derivative of h(v) wrt v.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*p + 150*p = -5274 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**7\/7 + 11*a**3\/6 - 5*a. What is the second derivative of s(z) wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {v: 2, n: 3, m: 1, y: 1, g: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2864932 kilograms?\nAnswer: 286493.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 11 (c) -2\/499 (d) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 4*h + 17*h**3 - 4*h.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 446353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 1\/270*m**5 + m**2 + 8\/27*m**3 + 13 - 1\/540*m**6 + 5\/54*m**4 + 0*m. Factor f(p).\nAnswer: -2*(p - 4)*(p + 1)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 4170*o**2 + 4164*o + 8336.\nAnswer: 2*(o - 2084)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: How many years are there in 31807.07 centuries?\nAnswer: 3180707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 27. What is l(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/7*n + 3\/7*n**2 + 48\/7.\nAnswer: 3*(n + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 25*w + 131. What is c(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.098, 2\/7?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.4 - 19.4. Let n = 2.928 + 2.072. Which is the closest to g? (a) 1\/4 (b) 2 (c) -1\/2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 14*u**2 + 5*u - 9. Suppose 4 = r + n, 3*n - 19 = -2*r - 2*r. Let o be d(r). Suppose 0 = 5*m - o - 1269. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11003, 22006, 33007, 44006?\n\"Answer: -n**2 + 11006*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1678 divide 25235442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(550)*-2 + (sqrt(22) - sqrt(1078)*2)))\/(sqrt(99) + (sqrt(99) - sqrt(99)*2) - (sqrt(99) + sqrt(99)*-2)) + -1 + 5.\nAnswer: -23*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from muuvmuummsmmuusuvu.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w**3 + 10*w + 4. Let f(j) = -j - 1. Determine 4*f(c) + t(c).\nAnswer: -8*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -104*u - 731. Let p be m(-7). Which is the nearest to 2? (a) 2\/5 (b) p (c) -4 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/330*2\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a milligram in micrograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.028 + -0.128. Which is the second biggest value? (a) 2\/7 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/137 <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 367 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36129.\nAnswer: 3, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4, -3*h - 10*k + 7*k = -399. What is the highest common divisor of 345 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2168566 + 34753087\/16. Let f = 3508 - j. Calculate the common denominator of f and (47\/(-24))\/(4\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 45 = 5*q. Suppose 20*u**3 - 25*u**2 - 10*u**4 - 2 + 5*u**2 + 11*u**5 - q*u**5 + 10*u = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/22 and -73\/4062?\nAnswer: 44682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135001767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/12 + 2)*180. Suppose a = -5*x + 20*x. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(156) + (-1*sqrt(156) - sqrt(156))))\/(sqrt(108) - -2*sqrt(108) - ((sqrt(1452)*-2 - sqrt(1452)) + sqrt(1452) + sqrt(12))).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**2 - 13*i + 15. Calculate the remainder when k(4) is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h = 2*j - 20, -4*h = 20. Let m = 2 - j. Suppose 5*q - 44508 = m*u, 2*u + 0*u + 8 = 0. What is q rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (63\/3)\/3 + -2. Let m be ((-12)\/(-14))\/(u\/35). Suppose -3*l + m = -i + 3, -l + 5 = i. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91716 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*8\/(-48).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-460)\/(-30) - (-14 - -28))*35\/(-119)*-3?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-384)\/33) + (-117)\/9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - (sqrt(156) - sqrt(156)*3)))*4 - (sqrt(156) + (-3*sqrt(156) + sqrt(156) + sqrt(156))*1 - sqrt(156)))\/(2*sqrt(192)*-2*-4).\nAnswer: 17*sqrt(13)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008279515 to 4 decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2 - 3*c**2 + 2*c**2 + 2 - 8*c - 12. Let q be i(-8). List the prime factors of 4*(-15)\/q*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 e, and 1 i when four letters picked without replacement from leileogi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*o**4*y + 3*o**2*y**2 - 308*y**2 - 3*y wrt o.\nAnswer: -76*o**3*y + 6*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 47. Let a be z(-13). Calculate the common denominator of 560\/(-231)*2\/a and 11\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*5\/(-4) - -2. Let w = -677 - -6653\/10. Let g = w - y. What is the common denominator of g and -26\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s + 5*m + 252, 0 = -2*m. Let z be (-6)\/4*(-14)\/s. What is the closest to 0.1 in z, 5, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 20*g - 5186. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/5 of a millisecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, s: 4, h: 2}. What is prob of sequence shh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4\/24 + 2*h**3\/3 + 2*h**2 - 3. Let y(x) be the second derivative of v(x). What is the units digit of y(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28095 (base 12) to base 10\nAnswer: -55409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1552)\/6 - (-4)\/6. Let v = x - -257. Let d(g) = -9*g + 4. Let o(l) = l - 1. Calculate v*d(j) - 6*o(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 - b - 2. Let k be v(-6). Suppose -2*o = w - 3, -5*w = -0*o - 4*o - 1. Let i = k + o. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let s(j) = 18 + 718*j + 37*j + 7 - 28 + 8. Calculate p(s(t)).\nAnswer: -570025*t**2 - 7550*t - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 17728648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - z + 4*z + (-4 + 5 - 3)*(2*z - 6*z - 5*z)*(32 - 13 - 16).\nAnswer: 55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1130\/10)\/((-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 104\/(-42) + (-20)\/(-15) - 2. Let t = y + 631\/56. Calculate the common denominator of t and (-21)\/(-31)*(-12)\/(-36).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48266546 or -48266547?\nAnswer: -48266546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 n when four letters picked without replacement from ynnnnnnnynnn?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/v**(1\/2))**(-1\/22)*((v*v*v**(-3)\/v*v)\/v**3)\/(v*v**(-1))**(-18\/11) assuming v is positive.\nAnswer: v**(-171\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*m**2 + 0 + 2\/9*m**4 + 0*m**3 + 0*m.\nAnswer: 2*m**2*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}